NEWS
author hoelzl
Fri, 03 Dec 2010 15:25:14 +0100
changeset 41271 9118eb4eb8dc
parent 41268 f1e9db633212
child 41283 22a57175df20
permissions -rw-r--r--
it is known as the extended reals, not the infinite reals
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in this Isabelle version
     5 ----------------------------
     6 
     7 *** General ***
     8 
     9 * Significantly improved Isabelle/Isar implementation manual.
    10 
    11 * Source files are always encoded as UTF-8, instead of old-fashioned
    12 ISO-Latin-1.  INCOMPATIBILITY.  Isabelle LaTeX documents might require
    13 the following package declarations:
    14 
    15   \usepackage[utf8]{inputenc}
    16   \usepackage{textcomp}
    17 
    18 * Explicit treatment of UTF8 sequences as Isabelle symbols, such that
    19 a Unicode character is treated as a single symbol, not a sequence of
    20 non-ASCII bytes as before.  Since Isabelle/ML string literals may
    21 contain symbols without further backslash escapes, Unicode can now be
    22 used here as well.  Recall that Symbol.explode in ML provides a
    23 consistent view on symbols, while raw explode (or String.explode)
    24 merely give a byte-oriented representation.
    25 
    26 * System settings: ISABELLE_HOME_USER now includes ISABELLE_IDENTIFIER
    27 (and thus refers to something like $HOME/.isabelle/IsabelleXXXX),
    28 while the default heap location within that directory lacks that extra
    29 suffix.  This isolates multiple Isabelle installations from each
    30 other, avoiding problems with old settings in new versions.
    31 INCOMPATIBILITY, need to copy/upgrade old user settings manually.
    32 
    33 * Theory loading: only the master source file is looked-up in the
    34 implicit load path, all other files are addressed relatively to its
    35 directory.  Minor INCOMPATIBILITY, subtle change in semantics.
    36 
    37 * Special treatment of ML file names has been discontinued.
    38 Historically, optional extensions .ML or .sml were added on demand --
    39 at the cost of clarity of file dependencies.  Recall that Isabelle/ML
    40 files exclusively use the .ML extension.  Minor INCOMPATIBILTY.
    41 
    42 * Various options that affect pretty printing etc. are now properly
    43 handled within the context via configuration options, instead of
    44 unsynchronized references or print modes.  There are both ML Config.T
    45 entities and Isar declaration attributes to access these.
    46 
    47   ML (Config.T)                 Isar (attribute)
    48 
    49   eta_contract                  eta_contract
    50   show_brackets                 show_brackets
    51   show_sorts                    show_sorts
    52   show_types                    show_types
    53   show_question_marks           show_question_marks
    54   show_consts                   show_consts
    55   show_abbrevs                  show_abbrevs
    56 
    57   Syntax.ambiguity_level        syntax_ambiguity_level
    58 
    59   Goal_Display.goals_limit      goals_limit
    60   Goal_Display.show_main_goal   show_main_goal
    61 
    62   Thy_Output.display            thy_output_display
    63   Thy_Output.quotes             thy_output_quotes
    64   Thy_Output.indent             thy_output_indent
    65   Thy_Output.source             thy_output_source
    66   Thy_Output.break              thy_output_break
    67 
    68 Note that corresponding "..._default" references in ML may be only
    69 changed globally at the ROOT session setup, but *not* within a theory.
    70 The option "show_abbrevs" supersedes the former print mode
    71 "no_abbrevs" with inverted meaning.
    72 
    73 * More systematic naming of some configuration options.
    74 INCOMPATIBILTY.
    75 
    76   trace_simp  ~>  simp_trace
    77   debug_simp  ~>  simp_debug
    78 
    79 * Support for real valued configuration options, using simplistic
    80 floating-point notation that coincides with the inner syntax for
    81 float_token.
    82 
    83 
    84 *** Pure ***
    85 
    86 * Command 'notepad' replaces former 'example_proof' for
    87 experimentation in Isar without any result.  INCOMPATIBILITY.
    88 
    89 * Support for real valued preferences (with approximative PGIP type).
    90 
    91 * Interpretation command 'interpret' accepts a list of equations like
    92 'interpretation' does.
    93 
    94 * Diagnostic command 'print_interps' prints interpretations in proofs
    95 in addition to interpretations in theories.
    96 
    97 * Discontinued obsolete 'global' and 'local' commands to manipulate
    98 the theory name space.  Rare INCOMPATIBILITY.  The ML functions
    99 Sign.root_path and Sign.local_path may be applied directly where this
   100 feature is still required for historical reasons.
   101 
   102 * Discontinued obsolete 'constdefs' command.  INCOMPATIBILITY, use
   103 'definition' instead.
   104 
   105 * Document antiquotations @{class} and @{type} print classes and type
   106 constructors.
   107 
   108 * Document antiquotation @{file} checks file/directory entries within
   109 the local file system.
   110 
   111 
   112 *** HOL ***
   113 
   114 * Quickcheck now by default uses exhaustive testing instead of random
   115 testing.  Random testing can be invoked by quickcheck[random],
   116 exhaustive testing by quickcheck[exhaustive].
   117 
   118 * Quickcheck instantiates polymorphic types with small finite
   119 datatypes by default. This enables a simple execution mechanism to
   120 handle quantifiers and function equality over the finite datatypes.
   121 
   122 * Functions can be declared as coercions and type inference will add
   123 them as necessary upon input of a term. In theory Complex_Main,
   124 real :: nat => real and real :: int => real are declared as
   125 coercions. A new coercion function f is declared like this:
   126 
   127   declare [[coercion f]]
   128 
   129 To lift coercions through type constructors (eg from nat => real to
   130 nat list => real list), map functions can be declared, e.g.
   131 
   132   declare [[coercion_map map]]
   133 
   134 Currently coercion inference is activated only in theories including
   135 real numbers, i.e. descendants of Complex_Main.  This is controlled by
   136 the configuration option "coercion_enabled", e.g. it can be enabled in
   137 other theories like this:
   138 
   139   declare [[coercion_enabled]]
   140 
   141 * Abandoned locales equiv, congruent and congruent2 for equivalence
   142 relations.  INCOMPATIBILITY: use equivI rather than equiv_intro (same
   143 for congruent(2)).
   144 
   145 * Code generator: globbing constant expressions "*" and "Theory.*"
   146 have been replaced by the more idiomatic "_" and "Theory._".
   147 INCOMPATIBILITY.
   148 
   149 * Theory Enum (for explicit enumerations of finite types) is now part
   150 of the HOL-Main image. INCOMPATIBILITY: all constants of the Enum
   151 theory now have to be referred to by its qualified name.
   152 
   153   enum    ~>  Enum.enum
   154   nlists  ~>  Enum.nlists
   155   product ~>  Enum.product
   156 
   157 * Renamed theory Fset to Cset, type Fset.fset to Cset.set, in order to
   158 avoid confusion with finite sets.  INCOMPATIBILITY.
   159 
   160 * Quickcheck's generator for random generation is renamed from "code"
   161 to "random".  INCOMPATIBILITY.
   162 
   163 * Quickcheck now has a configurable time limit which is set to 30
   164 seconds by default. This can be changed by adding [timeout = n] to the
   165 quickcheck command. The time limit for Auto Quickcheck is still set
   166 independently.
   167 
   168 * Theory Multiset provides stable quicksort implementation of
   169 sort_key.
   170 
   171 * New command 'partial_function' provides basic support for recursive
   172 function definitions over complete partial orders. Concrete instances
   173 are provided for i) the option type, ii) tail recursion on arbitrary
   174 types, and iii) the heap monad of Imperative_HOL. See
   175 HOL/ex/Fundefs.thy and HOL/Imperative_HOL/ex/Linked_Lists.thy for
   176 examples.
   177 
   178 * Predicates "distinct" and "sorted" now defined inductively, with
   179 nice induction rules.  INCOMPATIBILITY: former distinct.simps and
   180 sorted.simps now named distinct_simps and sorted_simps.
   181 
   182 * Constant "contents" renamed to "the_elem", to free the generic name
   183 contents for other uses.  INCOMPATIBILITY.
   184 
   185 * Dropped syntax for old primrec package.  INCOMPATIBILITY.
   186 
   187 * Improved infrastructure for term evaluation using code generator
   188 techniques, in particular static evaluation conversions.
   189 
   190 * String.literal is a type, but not a datatype.  INCOMPATIBILITY.
   191 
   192 * Renamed facts:
   193   expand_fun_eq  ~>  fun_eq_iff
   194   expand_set_eq  ~>  set_eq_iff
   195   set_ext        ~>  set_eqI
   196   nat_number     ~>  eval_nat_numeral
   197 
   198 * Renamed class eq and constant eq (for code generation) to class
   199 equal and constant equal, plus renaming of related facts and various
   200 tuning.  INCOMPATIBILITY.
   201 
   202 * Scala (2.8 or higher) has been added to the target languages of the
   203 code generator.
   204 
   205 * Dropped type classes mult_mono and mult_mono1.  INCOMPATIBILITY.
   206 
   207 * Removed output syntax "'a ~=> 'b" for "'a => 'b option".  INCOMPATIBILITY.
   208 
   209 * Theory SetsAndFunctions has been split into Function_Algebras and
   210 Set_Algebras; canonical names for instance definitions for functions;
   211 various improvements.  INCOMPATIBILITY.
   212 
   213 * Records: logical foundation type for records do not carry a '_type'
   214 suffix any longer.  INCOMPATIBILITY.
   215 
   216 * Code generation for records: more idiomatic representation of record
   217 types.  Warning: records are not covered by ancient SML code
   218 generation any longer.  INCOMPATIBILITY.  In cases of need, a suitable
   219 rep_datatype declaration helps to succeed then:
   220 
   221   record 'a foo = ...
   222   ...
   223   rep_datatype foo_ext ...
   224 
   225 * Session Imperative_HOL: revamped, corrected dozens of inadequacies.
   226 INCOMPATIBILITY.
   227 
   228 * Quickcheck in locales considers interpretations of that locale for
   229 counter example search.
   230 
   231 * Theory Library/Monad_Syntax provides do-syntax for monad types.
   232 Syntax in Library/State_Monad has been changed to avoid ambiguities.
   233 INCOMPATIBILITY.
   234 
   235 * Code generator: export_code without explicit file declaration prints
   236 to standard output.  INCOMPATIBILITY.
   237 
   238 * Abolished some non-alphabetic type names: "prod" and "sum" replace
   239 "*" and "+" respectively.  INCOMPATIBILITY.
   240 
   241 * Name "Plus" of disjoint sum operator "<+>" is now hidden.  Write
   242 Sum_Type.Plus.
   243 
   244 * Constant "split" has been merged with constant "prod_case"; names of
   245 ML functions, facts etc. involving split have been retained so far,
   246 though.  INCOMPATIBILITY.
   247 
   248 * Dropped old infix syntax "mem" for List.member; use "in set"
   249 instead.  INCOMPATIBILITY.
   250 
   251 * Refactoring of code-generation specific operations in List.thy
   252 
   253   constants
   254     null ~> List.null
   255 
   256   facts
   257     mem_iff ~> member_def
   258     null_empty ~> null_def
   259 
   260 INCOMPATIBILITY.  Note that these were not suppossed to be used
   261 regularly unless for striking reasons; their main purpose was code
   262 generation.
   263 
   264 * Some previously unqualified names have been qualified:
   265 
   266   types
   267     bool ~> HOL.bool
   268     nat ~> Nat.nat
   269 
   270   constants
   271     Trueprop ~> HOL.Trueprop
   272     True ~> HOL.True
   273     False ~> HOL.False
   274     op & ~> HOL.conj
   275     op | ~> HOL.disj
   276     op --> ~> HOL.implies
   277     op = ~> HOL.eq
   278     Not ~> HOL.Not
   279     The ~> HOL.The
   280     All ~> HOL.All
   281     Ex ~> HOL.Ex
   282     Ex1 ~> HOL.Ex1
   283     Let ~> HOL.Let
   284     If ~> HOL.If
   285     Ball ~> Set.Ball
   286     Bex ~> Set.Bex
   287     Suc ~> Nat.Suc
   288     Pair ~> Product_Type.Pair
   289     fst ~> Product_Type.fst
   290     snd ~> Product_Type.snd
   291     curry ~> Product_Type.curry
   292     op : ~> Set.member
   293     Collect ~> Set.Collect
   294 
   295 INCOMPATIBILITY.
   296 
   297 * Removed simplifier congruence rule of "prod_case", as has for long
   298 been the case with "split".  INCOMPATIBILITY.
   299 
   300 * Datatype package: theorems generated for executable equality (class
   301 eq) carry proper names and are treated as default code equations.
   302 
   303 * Removed lemma Option.is_none_none (Duplicate of is_none_def).
   304 INCOMPATIBILITY.
   305 
   306 * List.thy: use various operations from the Haskell prelude when
   307 generating Haskell code.
   308 
   309 * Multiset.thy: renamed empty_idemp -> empty_neutral
   310 
   311 * code_simp.ML and method code_simp: simplification with rules
   312 determined by code generator.
   313 
   314 * code generator: do not print function definitions for case
   315 combinators any longer.
   316 
   317 * Multivariate Analysis: Introduced a type class for euclidean
   318 space. Most theorems are now stated in terms of euclidean spaces
   319 instead of finite cartesian products.
   320 
   321   types
   322     real ^ 'n ~>  'a::real_vector
   323               ~>  'a::euclidean_space
   324               ~>  'a::ordered_euclidean_space
   325         (depends on your needs)
   326 
   327   constants
   328      _ $ _        ~> _ $$ _
   329      \<chi> x. _  ~> \<chi>\<chi> x. _
   330      CARD('n)     ~> DIM('a)
   331 
   332 Also note that the indices are now natural numbers and not from some
   333 finite type. Finite cartesian products of euclidean spaces, products
   334 of euclidean spaces the real and complex numbers are instantiated to
   335 be euclidean_spaces.  INCOMPATIBILITY.
   336 
   337 * Probability: Introduced pextreal as positive extended real numbers.
   338 Use pextreal as value for measures. Introduce the Radon-Nikodym
   339 derivative, product spaces and Fubini's theorem for arbitrary sigma
   340 finite measures. Introduces Lebesgue measure based on the integral in
   341 Multivariate Analysis.  INCOMPATIBILITY.
   342 
   343 * Inductive package: offers new command 'inductive_simps' to
   344 automatically derive instantiated and simplified equations for
   345 inductive predicates, similar to 'inductive_cases'.
   346 
   347 * "bij f" is now an abbreviation of "bij_betw f UNIV UNIV". "surj f"
   348 is now an abbreviation of "range f = UNIV". The theorems bij_def and
   349 surj_def are unchanged.  INCOMPATIBILITY.
   350 
   351 * Function package: .psimps rules are no longer implicitly declared
   352 [simp].  INCOMPATIBILITY.
   353 
   354 * Weaker versions of the "meson" and "metis" proof methods are now
   355 available in "HOL-Plain", without dependency on "Hilbert_Choice". The
   356 proof methods become more powerful after "Hilbert_Choice" is loaded in
   357 "HOL-Main".
   358 
   359 * MESON: Renamed lemmas:
   360   meson_not_conjD ~> Meson.not_conjD
   361   meson_not_disjD ~> Meson.not_disjD
   362   meson_not_notD ~> Meson.not_notD
   363   meson_not_allD ~> Meson.not_allD
   364   meson_not_exD ~> Meson.not_exD
   365   meson_imp_to_disjD ~> Meson.imp_to_disjD
   366   meson_not_impD ~> Meson.not_impD
   367   meson_iff_to_disjD ~> Meson.iff_to_disjD
   368   meson_not_iffD ~> Meson.not_iffD
   369   meson_not_refl_disj_D ~> Meson.not_refl_disj_D
   370   meson_conj_exD1 ~> Meson.conj_exD1
   371   meson_conj_exD2 ~> Meson.conj_exD2
   372   meson_disj_exD ~> Meson.disj_exD
   373   meson_disj_exD1 ~> Meson.disj_exD1
   374   meson_disj_exD2 ~> Meson.disj_exD2
   375   meson_disj_assoc ~> Meson.disj_assoc
   376   meson_disj_comm ~> Meson.disj_comm
   377   meson_disj_FalseD1 ~> Meson.disj_FalseD1
   378   meson_disj_FalseD2 ~> Meson.disj_FalseD2
   379 INCOMPATIBILITY.
   380 
   381 * Auto Solve: Renamed "Auto Solve Direct".  The tool is now available
   382 manually as command 'solve_direct'.
   383 
   384 * Sledgehammer:
   385   - Added "smt" and "remote_smt" provers based on the "smt" proof method. See
   386     the Sledgehammer manual for details ("isabelle doc sledgehammer").
   387   - Renamed lemmas:
   388     COMBI_def ~> Meson.COMBI_def
   389     COMBK_def ~> Meson.COMBK_def
   390     COMBB_def ~> Meson.COMBB_def
   391     COMBC_def ~> Meson.COMBC_def
   392     COMBS_def ~> Meson.COMBS_def
   393     abs_I ~> Meson.abs_I
   394     abs_K ~> Meson.abs_K
   395     abs_B ~> Meson.abs_B
   396     abs_C ~> Meson.abs_C
   397     abs_S ~> Meson.abs_S
   398     INCOMPATIBILITY.
   399   - Renamed commands:
   400     sledgehammer atp_info ~> sledgehammer running_provers
   401     sledgehammer atp_kill ~> sledgehammer kill_provers
   402     sledgehammer available_atps ~> sledgehammer available_provers
   403     INCOMPATIBILITY.
   404   - Renamed options:
   405     sledgehammer [atps = ...] ~> sledgehammer [provers = ...]
   406     sledgehammer [atp = ...] ~> sledgehammer [prover = ...]
   407     sledgehammer [timeout = 77 s] ~> sledgehammer [timeout = 77]
   408     (and "ms" and "min" are no longer supported)
   409     INCOMPATIBILITY.
   410 
   411 * Metis and Meson now have configuration options "meson_trace",
   412 "metis_trace", and "metis_verbose" that can be enabled to diagnose
   413 these tools. E.g.
   414 
   415     using [[metis_trace = true]]
   416 
   417 * Nitpick:
   418   - Renamed options:
   419     nitpick [timeout = 77 s] ~> nitpick [timeout = 77]
   420     nitpick [tac_timeout = 777 ms] ~> nitpick [tac_timeout = 0.777]
   421     INCOMPATIBILITY.
   422   - Now requires Kodkodi 1.2.9. INCOMPATIBILITY.
   423   - Added support for partial quotient types.
   424   - Added local versions of the "Nitpick.register_xxx" functions.
   425   - Added "whack" option.
   426   - Allow registration of quotient types as codatatypes.
   427   - Improved "merge_type_vars" option to merge more types.
   428   - Removed unsound "fast_descrs" option.
   429   - Added custom symmetry breaking for datatypes, making it possible to reach
   430     higher cardinalities.
   431   - Prevent the expansion of too large definitions.
   432 
   433 * Changed SMT configuration options:
   434   - Renamed:
   435     z3_proofs ~> smt_oracle (with swapped semantics)
   436     z3_trace_assms ~> smt_trace_used_facts
   437     INCOMPATIBILITY.
   438   - Added:
   439     smt_verbose
   440     smt_datatypes
   441     cvc3_options
   442     yices_options
   443 
   444 * Boogie output files (.b2i files) need to be declared in the theory
   445 header.
   446 
   447 * Removed [split_format ... and ... and ...] version of
   448 [split_format].  Potential INCOMPATIBILITY.
   449 
   450 
   451 *** HOLCF ***
   452 
   453 * The domain package now runs in definitional mode by default: The
   454 former command 'new_domain' is now called 'domain'. To use the domain
   455 package in its original axiomatic mode, use 'domain (unsafe)'.
   456 INCOMPATIBILITY.
   457 
   458 * The new class 'domain' is now the default sort; the definitional
   459 domain package and the powerdomain theories both require this class.
   460 The new class 'predomain' is an unpointed version of 'domain'.
   461 Theories can be updated by replacing sort annotations as shown below.
   462 INCOMPATIBILITY.
   463 
   464   'a::type ~> 'a::countable
   465   'a::cpo  ~> 'a::predomain
   466   'a::pcpo ~> 'a::domain
   467 
   468 * The old type class 'rep' has been superseded by class 'domain'.
   469 Accordingly, users of the definitional package must remove any
   470 'default_sort rep' declarations. INCOMPATIBILITY.
   471 
   472 * The old type classes 'profinite' and 'bifinite', along with the
   473 overloaded constant 'approx' have been removed. INCOMPATIBILITY.
   474 
   475 * The type 'udom alg_defl' has been replaced by the non-parameterized
   476 type 'defl'. HOLCF no longer defines an embedding of type defl into
   477 udom by default; the instance proof defl :: domain is now available in
   478 HOLCF/Library/Defl_Bifinite.thy.
   479 
   480 * The syntax 'REP('a)' has been replaced with 'DEFL('a)'.
   481 
   482 * The predicate 'directed' has been removed. INCOMPATIBILITY.
   483 
   484 * The type class 'finite_po' has been removed. INCOMPATIBILITY.
   485 
   486 * Renamed some theorems (the original names are also still available).
   487   expand_fun_below   ~> fun_below_iff
   488   below_fun_ext      ~> fun_belowI
   489   expand_cfun_eq     ~> cfun_eq_iff
   490   ext_cfun           ~> cfun_eqI
   491   expand_cfun_below  ~> cfun_below_iff
   492   below_cfun_ext     ~> cfun_belowI
   493   cont2cont_Rep_CFun ~> cont2cont_APP
   494 
   495 * The Abs and Rep functions for various types have changed names.
   496 Related theorem names have also changed to match. INCOMPATIBILITY.
   497   Rep_CFun  ~> Rep_cfun
   498   Abs_CFun  ~> Abs_cfun
   499   Rep_Sprod ~> Rep_sprod
   500   Abs_Sprod ~> Abs_sprod
   501   Rep_Ssum  ~> Rep_ssum
   502   Abs_Ssum  ~> Abs_ssum
   503 
   504 * Lemmas with names of the form *_defined_iff or *_strict_iff have
   505 been renamed to *_bottom_iff. INCOMPATIBILITY.
   506 
   507 * Various changes to bisimulation/coinduction with domain package:
   508   - Definitions of 'bisim' constants no longer mention definedness.
   509   - With mutual recursion, 'bisim' predicate is now curried.
   510   - With mutual recursion, each type gets a separate coind theorem.
   511   - Variable names in bisim_def and coinduct rules have changed.
   512 INCOMPATIBILITY.
   513 
   514 * Case combinators generated by the domain package for type 'foo' are
   515 now named 'foo_case' instead of 'foo_when'. INCOMPATIBILITY.
   516 
   517 * Several theorems have been renamed to more accurately reflect the
   518 names of constants and types involved. INCOMPATIBILITY.
   519   thelub_const    ~> lub_const
   520   lub_const       ~> is_lub_const
   521   thelubI         ~> lub_eqI
   522   is_lub_lub      ~> is_lubD2
   523   lubI            ~> is_lub_lub
   524   unique_lub      ~> is_lub_unique
   525   is_ub_lub       ~> is_lub_rangeD1
   526   lub_bin_chain   ~> is_lub_bin_chain
   527   thelub_Pair     ~> lub_Pair
   528   lub_cprod       ~> is_lub_prod
   529   thelub_cprod    ~> lub_prod
   530   minimal_cprod   ~> minimal_prod
   531   inst_cprod_pcpo ~> inst_prod_pcpo
   532 
   533 * Many legacy theorem names have been discontinued. INCOMPATIBILITY.
   534   sq_ord_less_eq_trans ~> below_eq_trans
   535   sq_ord_eq_less_trans ~> eq_below_trans
   536   refl_less            ~> below_refl
   537   trans_less           ~> below_trans
   538   antisym_less         ~> below_antisym
   539   antisym_less_inverse ~> po_eq_conv [THEN iffD1]
   540   box_less             ~> box_below
   541   rev_trans_less       ~> rev_below_trans
   542   not_less2not_eq      ~> not_below2not_eq
   543   less_UU_iff          ~> below_UU_iff
   544   flat_less_iff        ~> flat_below_iff
   545   adm_less             ~> adm_below
   546   adm_not_less         ~> adm_not_below
   547   adm_compact_not_less ~> adm_compact_not_below
   548   less_fun_def         ~> below_fun_def
   549   expand_fun_less      ~> fun_below_iff
   550   less_fun_ext         ~> fun_belowI
   551   less_discr_def       ~> below_discr_def
   552   discr_less_eq        ~> discr_below_eq
   553   less_unit_def        ~> below_unit_def
   554   less_cprod_def       ~> below_prod_def
   555   prod_lessI           ~> prod_belowI
   556   Pair_less_iff        ~> Pair_below_iff
   557   fst_less_iff         ~> fst_below_iff
   558   snd_less_iff         ~> snd_below_iff
   559   expand_cfun_less     ~> cfun_below_iff
   560   less_cfun_ext        ~> cfun_belowI
   561   injection_less       ~> injection_below
   562   less_up_def          ~> below_up_def
   563   not_Iup_less         ~> not_Iup_below
   564   Iup_less             ~> Iup_below
   565   up_less              ~> up_below
   566   Def_inject_less_eq   ~> Def_below_Def
   567   Def_less_is_eq       ~> Def_below_iff
   568   spair_less_iff       ~> spair_below_iff
   569   less_sprod           ~> below_sprod
   570   spair_less           ~> spair_below
   571   sfst_less_iff        ~> sfst_below_iff
   572   ssnd_less_iff        ~> ssnd_below_iff
   573   fix_least_less       ~> fix_least_below
   574   dist_less_one        ~> dist_below_one
   575   less_ONE             ~> below_ONE
   576   ONE_less_iff         ~> ONE_below_iff
   577   less_sinlD           ~> below_sinlD
   578   less_sinrD           ~> below_sinrD
   579 
   580 
   581 *** FOL and ZF ***
   582 
   583 * All constant names are now qualified.  INCOMPATIBILITY.
   584 
   585 
   586 *** ML ***
   587 
   588 * Syntax.pretty_priority (default 0) configures the required priority
   589 of pretty-printed output and thus affects insertion of parentheses.
   590 
   591 * Syntax.default_root (default "any") configures the inner syntax
   592 category (nonterminal symbol) for parsing of terms.
   593 
   594 * Former exception Library.UnequalLengths now coincides with
   595 ListPair.UnequalLengths.
   596 
   597 * Renamed raw "explode" function to "raw_explode" to emphasize its
   598 meaning.  Note that internally to Isabelle, Symbol.explode is used in
   599 almost all situations.
   600 
   601 * Discontinued obsolete function sys_error and exception SYS_ERROR.
   602 See implementation manual for further details on exceptions in
   603 Isabelle/ML.
   604 
   605 * Antiquotation @{assert} inlines a function bool -> unit that raises
   606 Fail if the argument is false.  Due to inlining the source position of
   607 failed assertions is included in the error output.
   608 
   609 * Discontinued antiquotation @{theory_ref}, which is obsolete since ML
   610 text is in practice always evaluated with a stable theory checkpoint.
   611 Minor INCOMPATIBILITY, use (Theory.check_thy @{theory}) instead.
   612 
   613 * Renamed setmp_noncritical to Unsynchronized.setmp to emphasize its
   614 meaning.
   615 
   616 * Renamed structure PureThy to Pure_Thy and moved most of its
   617 operations to structure Global_Theory, to emphasize that this is
   618 rarely-used global-only stuff.
   619 
   620 * Discontinued Output.debug.  Minor INCOMPATIBILITY, use plain writeln
   621 instead (or tracing for high-volume output).
   622 
   623 * Configuration option show_question_marks only affects regular pretty
   624 printing of types and terms, not raw Term.string_of_vname.
   625 
   626 * ML_Context.thm and ML_Context.thms are no longer pervasive.  Rare
   627 INCOMPATIBILITY, superseded by static antiquotations @{thm} and
   628 @{thms} for most purposes.
   629 
   630 * ML structure Unsynchronized never opened, not even in Isar
   631 interaction mode as before.  Old Unsynchronized.set etc. have been
   632 discontinued -- use plain := instead.  This should be *rare* anyway,
   633 since modern tools always work via official context data, notably
   634 configuration options.
   635 
   636 * ML antiquotations @{theory} and @{theory_ref} refer to named
   637 theories from the ancestry of the current context, not any accidental
   638 theory loader state as before.  Potential INCOMPATIBILITY, subtle
   639 change in semantics.
   640 
   641 * Parallel and asynchronous execution requires special care concerning
   642 interrupts.  Structure Exn provides some convenience functions that
   643 avoid working directly with raw Interrupt.  User code must not absorb
   644 interrupts -- intermediate handling (for cleanup etc.) needs to be
   645 followed by re-raising of the original exception.  Another common
   646 source of mistakes are "handle _" patterns, which make the meaning of
   647 the program subject to physical effects of the environment.
   648 
   649 
   650 *** System ***
   651 
   652 * The IsabelleText font now includes Cyrillic, Hebrew, Arabic from
   653 DajaVu Sans.
   654 
   655 * Discontinued support for Poly/ML 5.0 and 5.1 versions.
   656 
   657 
   658 
   659 New in Isabelle2009-2 (June 2010)
   660 ---------------------------------
   661 
   662 *** General ***
   663 
   664 * Authentic syntax for *all* logical entities (type classes, type
   665 constructors, term constants): provides simple and robust
   666 correspondence between formal entities and concrete syntax.  Within
   667 the parse tree / AST representations, "constants" are decorated by
   668 their category (class, type, const) and spelled out explicitly with
   669 their full internal name.
   670 
   671 Substantial INCOMPATIBILITY concerning low-level syntax declarations
   672 and translations (translation rules and translation functions in ML).
   673 Some hints on upgrading:
   674 
   675   - Many existing uses of 'syntax' and 'translations' can be replaced
   676     by more modern 'type_notation', 'notation' and 'abbreviation',
   677     which are independent of this issue.
   678 
   679   - 'translations' require markup within the AST; the term syntax
   680     provides the following special forms:
   681 
   682       CONST c   -- produces syntax version of constant c from context
   683       XCONST c  -- literally c, checked as constant from context
   684       c         -- literally c, if declared by 'syntax'
   685 
   686     Plain identifiers are treated as AST variables -- occasionally the
   687     system indicates accidental variables via the error "rhs contains
   688     extra variables".
   689 
   690     Type classes and type constructors are marked according to their
   691     concrete syntax.  Some old translations rules need to be written
   692     for the "type" category, using type constructor application
   693     instead of pseudo-term application of the default category
   694     "logic".
   695 
   696   - 'parse_translation' etc. in ML may use the following
   697     antiquotations:
   698 
   699       @{class_syntax c}   -- type class c within parse tree / AST
   700       @{term_syntax c}    -- type constructor c within parse tree / AST
   701       @{const_syntax c}   -- ML version of "CONST c" above
   702       @{syntax_const c}   -- literally c (checked wrt. 'syntax' declarations)
   703 
   704   - Literal types within 'typed_print_translations', i.e. those *not*
   705     represented as pseudo-terms are represented verbatim.  Use @{class
   706     c} or @{type_name c} here instead of the above syntax
   707     antiquotations.
   708 
   709 Note that old non-authentic syntax was based on unqualified base
   710 names, so all of the above "constant" names would coincide.  Recall
   711 that 'print_syntax' and ML_command "set Syntax.trace_ast" help to
   712 diagnose syntax problems.
   713 
   714 * Type constructors admit general mixfix syntax, not just infix.
   715 
   716 * Concrete syntax may be attached to local entities without a proof
   717 body, too.  This works via regular mixfix annotations for 'fix',
   718 'def', 'obtain' etc. or via the explicit 'write' command, which is
   719 similar to the 'notation' command in theory specifications.
   720 
   721 * Discontinued unnamed infix syntax (legacy feature for many years) --
   722 need to specify constant name and syntax separately.  Internal ML
   723 datatype constructors have been renamed from InfixName to Infix etc.
   724 Minor INCOMPATIBILITY.
   725 
   726 * Schematic theorem statements need to be explicitly markup as such,
   727 via commands 'schematic_lemma', 'schematic_theorem',
   728 'schematic_corollary'.  Thus the relevance of the proof is made
   729 syntactically clear, which impacts performance in a parallel or
   730 asynchronous interactive environment.  Minor INCOMPATIBILITY.
   731 
   732 * Use of cumulative prems via "!" in some proof methods has been
   733 discontinued (old legacy feature).
   734 
   735 * References 'trace_simp' and 'debug_simp' have been replaced by
   736 configuration options stored in the context. Enabling tracing (the
   737 case of debugging is similar) in proofs works via
   738 
   739   using [[trace_simp = true]]
   740 
   741 Tracing is then active for all invocations of the simplifier in
   742 subsequent goal refinement steps. Tracing may also still be enabled or
   743 disabled via the ProofGeneral settings menu.
   744 
   745 * Separate commands 'hide_class', 'hide_type', 'hide_const',
   746 'hide_fact' replace the former 'hide' KIND command.  Minor
   747 INCOMPATIBILITY.
   748 
   749 * Improved parallelism of proof term normalization: usedir -p2 -q0 is
   750 more efficient than combinations with -q1 or -q2.
   751 
   752 
   753 *** Pure ***
   754 
   755 * Proofterms record type-class reasoning explicitly, using the
   756 "unconstrain" operation internally.  This eliminates all sort
   757 constraints from a theorem and proof, introducing explicit
   758 OFCLASS-premises.  On the proof term level, this operation is
   759 automatically applied at theorem boundaries, such that closed proofs
   760 are always free of sort constraints.  INCOMPATIBILITY for tools that
   761 inspect proof terms.
   762 
   763 * Local theory specifications may depend on extra type variables that
   764 are not present in the result type -- arguments TYPE('a) :: 'a itself
   765 are added internally.  For example:
   766 
   767   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
   768 
   769 * Predicates of locales introduced by classes carry a mandatory
   770 "class" prefix.  INCOMPATIBILITY.
   771 
   772 * Vacuous class specifications observe default sort.  INCOMPATIBILITY.
   773 
   774 * Old 'axclass' command has been discontinued.  INCOMPATIBILITY, use
   775 'class' instead.
   776 
   777 * Command 'code_reflect' allows to incorporate generated ML code into
   778 runtime environment; replaces immature code_datatype antiquotation.
   779 INCOMPATIBILITY.
   780 
   781 * Code generator: simple concept for abstract datatypes obeying
   782 invariants.
   783 
   784 * Code generator: details of internal data cache have no impact on the
   785 user space functionality any longer.
   786 
   787 * Methods "unfold_locales" and "intro_locales" ignore non-locale
   788 subgoals.  This is more appropriate for interpretations with 'where'.
   789 INCOMPATIBILITY.
   790 
   791 * Command 'example_proof' opens an empty proof body.  This allows to
   792 experiment with Isar, without producing any persistent result.
   793 
   794 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   795 within a local theory context, with explicit checking of the
   796 constructors involved (in contrast to the raw 'syntax' versions).
   797 
   798 * Commands 'types' and 'typedecl' now work within a local theory
   799 context -- without introducing dependencies on parameters or
   800 assumptions, which is not possible in Isabelle/Pure.
   801 
   802 * Command 'defaultsort' has been renamed to 'default_sort', it works
   803 within a local theory context.  Minor INCOMPATIBILITY.
   804 
   805 
   806 *** HOL ***
   807 
   808 * Command 'typedef' now works within a local theory context -- without
   809 introducing dependencies on parameters or assumptions, which is not
   810 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   811 contain multiple interpretations of local typedefs (with different
   812 non-emptiness proofs), even in a global theory context.
   813 
   814 * New package for quotient types.  Commands 'quotient_type' and
   815 'quotient_definition' may be used for defining types and constants by
   816 quotient constructions.  An example is the type of integers created by
   817 quotienting pairs of natural numbers:
   818 
   819   fun
   820     intrel :: "(nat * nat) => (nat * nat) => bool"
   821   where
   822     "intrel (x, y) (u, v) = (x + v = u + y)"
   823 
   824   quotient_type int = "nat * nat" / intrel
   825     by (auto simp add: equivp_def expand_fun_eq)
   826 
   827   quotient_definition
   828     "0::int" is "(0::nat, 0::nat)"
   829 
   830 The method "lifting" can be used to lift of theorems from the
   831 underlying "raw" type to the quotient type.  The example
   832 src/HOL/Quotient_Examples/FSet.thy includes such a quotient
   833 construction and provides a reasoning infrastructure for finite sets.
   834 
   835 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   836 clash with new theory Quotient in Main HOL.
   837 
   838 * Moved the SMT binding into the main HOL session, eliminating
   839 separate HOL-SMT session.
   840 
   841 * List membership infix mem operation is only an input abbreviation.
   842 INCOMPATIBILITY.
   843 
   844 * Theory Library/Word.thy has been removed.  Use library Word/Word.thy
   845 for future developements; former Library/Word.thy is still present in
   846 the AFP entry RSAPPS.
   847 
   848 * Theorem Int.int_induct renamed to Int.int_of_nat_induct and is no
   849 longer shadowed.  INCOMPATIBILITY.
   850 
   851 * Dropped theorem duplicate comp_arith; use semiring_norm instead.
   852 INCOMPATIBILITY.
   853 
   854 * Dropped theorem RealPow.real_sq_order; use power2_le_imp_le instead.
   855 INCOMPATIBILITY.
   856 
   857 * Dropped normalizing_semiring etc; use the facts in semiring classes
   858 instead.  INCOMPATIBILITY.
   859 
   860 * Dropped several real-specific versions of lemmas about floor and
   861 ceiling; use the generic lemmas from theory "Archimedean_Field"
   862 instead.  INCOMPATIBILITY.
   863 
   864   floor_number_of_eq         ~> floor_number_of
   865   le_floor_eq_number_of      ~> number_of_le_floor
   866   le_floor_eq_zero           ~> zero_le_floor
   867   le_floor_eq_one            ~> one_le_floor
   868   floor_less_eq_number_of    ~> floor_less_number_of
   869   floor_less_eq_zero         ~> floor_less_zero
   870   floor_less_eq_one          ~> floor_less_one
   871   less_floor_eq_number_of    ~> number_of_less_floor
   872   less_floor_eq_zero         ~> zero_less_floor
   873   less_floor_eq_one          ~> one_less_floor
   874   floor_le_eq_number_of      ~> floor_le_number_of
   875   floor_le_eq_zero           ~> floor_le_zero
   876   floor_le_eq_one            ~> floor_le_one
   877   floor_subtract_number_of   ~> floor_diff_number_of
   878   floor_subtract_one         ~> floor_diff_one
   879   ceiling_number_of_eq       ~> ceiling_number_of
   880   ceiling_le_eq_number_of    ~> ceiling_le_number_of
   881   ceiling_le_zero_eq         ~> ceiling_le_zero
   882   ceiling_le_eq_one          ~> ceiling_le_one
   883   less_ceiling_eq_number_of  ~> number_of_less_ceiling
   884   less_ceiling_eq_zero       ~> zero_less_ceiling
   885   less_ceiling_eq_one        ~> one_less_ceiling
   886   ceiling_less_eq_number_of  ~> ceiling_less_number_of
   887   ceiling_less_eq_zero       ~> ceiling_less_zero
   888   ceiling_less_eq_one        ~> ceiling_less_one
   889   le_ceiling_eq_number_of    ~> number_of_le_ceiling
   890   le_ceiling_eq_zero         ~> zero_le_ceiling
   891   le_ceiling_eq_one          ~> one_le_ceiling
   892   ceiling_subtract_number_of ~> ceiling_diff_number_of
   893   ceiling_subtract_one       ~> ceiling_diff_one
   894 
   895 * Theory "Finite_Set": various folding_XXX locales facilitate the
   896 application of the various fold combinators on finite sets.
   897 
   898 * Library theory "RBT" renamed to "RBT_Impl"; new library theory "RBT"
   899 provides abstract red-black tree type which is backed by "RBT_Impl" as
   900 implementation.  INCOMPATIBILTY.
   901 
   902 * Theory Library/Coinductive_List has been removed -- superseded by
   903 AFP/thys/Coinductive.
   904 
   905 * Theory PReal, including the type "preal" and related operations, has
   906 been removed.  INCOMPATIBILITY.
   907 
   908 * Real: new development using Cauchy Sequences.
   909 
   910 * Split off theory "Big_Operators" containing setsum, setprod,
   911 Inf_fin, Sup_fin, Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   912 
   913 * Theory "Rational" renamed to "Rat", for consistency with "Nat",
   914 "Int" etc.  INCOMPATIBILITY.
   915 
   916 * Constant Rat.normalize needs to be qualified.  INCOMPATIBILITY.
   917 
   918 * New set of rules "ac_simps" provides combined assoc / commute
   919 rewrites for all interpretations of the appropriate generic locales.
   920 
   921 * Renamed theory "OrderedGroup" to "Groups" and split theory
   922 "Ring_and_Field" into theories "Rings" and "Fields"; for more
   923 appropriate and more consistent names suitable for name prefixes
   924 within the HOL theories.  INCOMPATIBILITY.
   925 
   926 * Some generic constants have been put to appropriate theories:
   927   - less_eq, less: Orderings
   928   - zero, one, plus, minus, uminus, times, abs, sgn: Groups
   929   - inverse, divide: Rings
   930 INCOMPATIBILITY.
   931 
   932 * More consistent naming of type classes involving orderings (and
   933 lattices):
   934 
   935     lower_semilattice                   ~> semilattice_inf
   936     upper_semilattice                   ~> semilattice_sup
   937 
   938     dense_linear_order                  ~> dense_linorder
   939 
   940     pordered_ab_group_add               ~> ordered_ab_group_add
   941     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   942     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   943     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   944     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   945     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   946     pordered_cancel_semiring            ~> ordered_cancel_semiring
   947     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   948     pordered_comm_ring                  ~> ordered_comm_ring
   949     pordered_comm_semiring              ~> ordered_comm_semiring
   950     pordered_ring                       ~> ordered_ring
   951     pordered_ring_abs                   ~> ordered_ring_abs
   952     pordered_semiring                   ~> ordered_semiring
   953 
   954     ordered_ab_group_add                ~> linordered_ab_group_add
   955     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   956     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   957     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   958     ordered_field                       ~> linordered_field
   959     ordered_field_no_lb                 ~> linordered_field_no_lb
   960     ordered_field_no_ub                 ~> linordered_field_no_ub
   961     ordered_field_dense_linear_order    ~> dense_linordered_field
   962     ordered_idom                        ~> linordered_idom
   963     ordered_ring                        ~> linordered_ring
   964     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   965     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   966     ordered_ring_strict                 ~> linordered_ring_strict
   967     ordered_semidom                     ~> linordered_semidom
   968     ordered_semiring                    ~> linordered_semiring
   969     ordered_semiring_1                  ~> linordered_semiring_1
   970     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   971     ordered_semiring_strict             ~> linordered_semiring_strict
   972 
   973   The following slightly odd type classes have been moved to a
   974   separate theory Library/Lattice_Algebras:
   975 
   976     lordered_ab_group_add               ~> lattice_ab_group_add
   977     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   978     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   979     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   980     lordered_ring                       ~> lattice_ring
   981 
   982 INCOMPATIBILITY.
   983 
   984 * Refined field classes:
   985   - classes division_ring_inverse_zero, field_inverse_zero,
   986     linordered_field_inverse_zero include rule inverse 0 = 0 --
   987     subsumes former division_by_zero class;
   988   - numerous lemmas have been ported from field to division_ring.
   989 INCOMPATIBILITY.
   990 
   991 * Refined algebra theorem collections:
   992   - dropped theorem group group_simps, use algebra_simps instead;
   993   - dropped theorem group ring_simps, use field_simps instead;
   994   - proper theorem collection field_simps subsumes former theorem
   995     groups field_eq_simps and field_simps;
   996   - dropped lemma eq_minus_self_iff which is a duplicate for
   997     equal_neg_zero.
   998 INCOMPATIBILITY.
   999 
  1000 * Theory Finite_Set and List: some lemmas have been generalized from
  1001 sets to lattices:
  1002 
  1003   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
  1004   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
  1005   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
  1006   union_Union_fold_union        ~> sup_Sup_fold_sup
  1007   Inter_fold_inter              ~> Inf_fold_inf
  1008   Union_fold_union              ~> Sup_fold_sup
  1009   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
  1010   union_UNION_fold_union        ~> sup_SUPR_fold_sup
  1011   INTER_fold_inter              ~> INFI_fold_inf
  1012   UNION_fold_union              ~> SUPR_fold_sup
  1013 
  1014 * Theory "Complete_Lattice": lemmas top_def and bot_def have been
  1015 replaced by the more convenient lemmas Inf_empty and Sup_empty.
  1016 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
  1017 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
  1018 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
  1019 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
  1020 
  1021 * Reorganized theory Multiset: swapped notation of pointwise and
  1022 multiset order:
  1023 
  1024   - pointwise ordering is instance of class order with standard syntax
  1025     <= and <;
  1026   - multiset ordering has syntax <=# and <#; partial order properties
  1027     are provided by means of interpretation with prefix
  1028     multiset_order;
  1029   - less duplication, less historical organization of sections,
  1030     conversion from associations lists to multisets, rudimentary code
  1031     generation;
  1032   - use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union,
  1033     if needed.
  1034 
  1035 Renamed:
  1036 
  1037   multiset_eq_conv_count_eq  ~>  multiset_ext_iff
  1038   multi_count_ext  ~>  multiset_ext
  1039   diff_union_inverse2  ~>  diff_union_cancelR
  1040 
  1041 INCOMPATIBILITY.
  1042 
  1043 * Theory Permutation: replaced local "remove" by List.remove1.
  1044 
  1045 * Code generation: ML and OCaml code is decorated with signatures.
  1046 
  1047 * Theory List: added transpose.
  1048 
  1049 * Library/Nat_Bijection.thy is a collection of bijective functions
  1050 between nat and other types, which supersedes the older libraries
  1051 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
  1052 
  1053   Constants:
  1054   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
  1055   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
  1056   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
  1057   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
  1058   Countable.pair_encode           ~> prod_encode
  1059   NatIso.prod2nat                 ~> prod_encode
  1060   NatIso.nat2prod                 ~> prod_decode
  1061   NatIso.sum2nat                  ~> sum_encode
  1062   NatIso.nat2sum                  ~> sum_decode
  1063   NatIso.list2nat                 ~> list_encode
  1064   NatIso.nat2list                 ~> list_decode
  1065   NatIso.set2nat                  ~> set_encode
  1066   NatIso.nat2set                  ~> set_decode
  1067 
  1068   Lemmas:
  1069   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
  1070   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
  1071   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
  1072   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
  1073   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
  1074   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
  1075   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
  1076   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
  1077   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
  1078   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
  1079   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
  1080   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
  1081   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
  1082 
  1083 * Sledgehammer:
  1084   - Renamed ATP commands:
  1085     atp_info     ~> sledgehammer running_atps
  1086     atp_kill     ~> sledgehammer kill_atps
  1087     atp_messages ~> sledgehammer messages
  1088     atp_minimize ~> sledgehammer minimize
  1089     print_atps   ~> sledgehammer available_atps
  1090     INCOMPATIBILITY.
  1091   - Added user's manual ("isabelle doc sledgehammer").
  1092   - Added option syntax and "sledgehammer_params" to customize
  1093     Sledgehammer's behavior.  See the manual for details.
  1094   - Modified the Isar proof reconstruction code so that it produces
  1095     direct proofs rather than proofs by contradiction.  (This feature
  1096     is still experimental.)
  1097   - Made Isar proof reconstruction work for SPASS, remote ATPs, and in
  1098     full-typed mode.
  1099   - Added support for TPTP syntax for SPASS via the "spass_tptp" ATP.
  1100 
  1101 * Nitpick:
  1102   - Added and implemented "binary_ints" and "bits" options.
  1103   - Added "std" option and implemented support for nonstandard models.
  1104   - Added and implemented "finitize" option to improve the precision
  1105     of infinite datatypes based on a monotonicity analysis.
  1106   - Added support for quotient types.
  1107   - Added support for "specification" and "ax_specification"
  1108     constructs.
  1109   - Added support for local definitions (for "function" and
  1110     "termination" proofs).
  1111   - Added support for term postprocessors.
  1112   - Optimized "Multiset.multiset" and "FinFun.finfun".
  1113   - Improved efficiency of "destroy_constrs" optimization.
  1114   - Fixed soundness bugs related to "destroy_constrs" optimization and
  1115     record getters.
  1116   - Fixed soundness bug related to higher-order constructors.
  1117   - Fixed soundness bug when "full_descrs" is enabled.
  1118   - Improved precision of set constructs.
  1119   - Added "atoms" option.
  1120   - Added cache to speed up repeated Kodkod invocations on the same
  1121     problems.
  1122   - Renamed "MiniSatJNI", "zChaffJNI", "BerkMinAlloy", and
  1123     "SAT4JLight" to "MiniSat_JNI", "zChaff_JNI", "BerkMin_Alloy", and
  1124     "SAT4J_Light".  INCOMPATIBILITY.
  1125   - Removed "skolemize", "uncurry", "sym_break", "flatten_prop",
  1126     "sharing_depth", and "show_skolems" options.  INCOMPATIBILITY.
  1127   - Removed "nitpick_intro" attribute.  INCOMPATIBILITY.
  1128 
  1129 * Method "induct" now takes instantiations of the form t, where t is not
  1130   a variable, as a shorthand for "x == t", where x is a fresh variable.
  1131   If this is not intended, t has to be enclosed in parentheses.
  1132   By default, the equalities generated by definitional instantiations
  1133   are pre-simplified, which may cause parameters of inductive cases
  1134   to disappear, or may even delete some of the inductive cases.
  1135   Use "induct (no_simp)" instead of "induct" to restore the old
  1136   behaviour. The (no_simp) option is also understood by the "cases"
  1137   and "nominal_induct" methods, which now perform pre-simplification, too.
  1138   INCOMPATIBILITY.
  1139 
  1140 
  1141 *** HOLCF ***
  1142 
  1143 * Variable names in lemmas generated by the domain package have
  1144 changed; the naming scheme is now consistent with the HOL datatype
  1145 package.  Some proof scripts may be affected, INCOMPATIBILITY.
  1146 
  1147 * The domain package no longer defines the function "foo_copy" for
  1148 recursive domain "foo".  The reach lemma is now stated directly in
  1149 terms of "foo_take".  Lemmas and proofs that mention "foo_copy" must
  1150 be reformulated in terms of "foo_take", INCOMPATIBILITY.
  1151 
  1152 * Most definedness lemmas generated by the domain package (previously
  1153 of the form "x ~= UU ==> foo$x ~= UU") now have an if-and-only-if form
  1154 like "foo$x = UU <-> x = UU", which works better as a simp rule.
  1155 Proofs that used definedness lemmas as intro rules may break,
  1156 potential INCOMPATIBILITY.
  1157 
  1158 * Induction and casedist rules generated by the domain package now
  1159 declare proper case_names (one called "bottom", and one named for each
  1160 constructor).  INCOMPATIBILITY.
  1161 
  1162 * For mutually-recursive domains, separate "reach" and "take_lemma"
  1163 rules are generated for each domain, INCOMPATIBILITY.
  1164 
  1165   foo_bar.reach       ~> foo.reach  bar.reach
  1166   foo_bar.take_lemmas ~> foo.take_lemma  bar.take_lemma
  1167 
  1168 * Some lemmas generated by the domain package have been renamed for
  1169 consistency with the datatype package, INCOMPATIBILITY.
  1170 
  1171   foo.ind        ~> foo.induct
  1172   foo.finite_ind ~> foo.finite_induct
  1173   foo.coind      ~> foo.coinduct
  1174   foo.casedist   ~> foo.exhaust
  1175   foo.exhaust    ~> foo.nchotomy
  1176 
  1177 * For consistency with other definition packages, the fixrec package
  1178 now generates qualified theorem names, INCOMPATIBILITY.
  1179 
  1180   foo_simps  ~> foo.simps
  1181   foo_unfold ~> foo.unfold
  1182   foo_induct ~> foo.induct
  1183 
  1184 * The "fixrec_simp" attribute has been removed.  The "fixrec_simp"
  1185 method and internal fixrec proofs now use the default simpset instead.
  1186 INCOMPATIBILITY.
  1187 
  1188 * The "contlub" predicate has been removed.  Proof scripts should use
  1189 lemma contI2 in place of monocontlub2cont, INCOMPATIBILITY.
  1190 
  1191 * The "admw" predicate has been removed, INCOMPATIBILITY.
  1192 
  1193 * The constants cpair, cfst, and csnd have been removed in favor of
  1194 Pair, fst, and snd from Isabelle/HOL, INCOMPATIBILITY.
  1195 
  1196 
  1197 *** ML ***
  1198 
  1199 * Antiquotations for basic formal entities:
  1200 
  1201     @{class NAME}         -- type class
  1202     @{class_syntax NAME}  -- syntax representation of the above
  1203 
  1204     @{type_name NAME}     -- logical type
  1205     @{type_abbrev NAME}   -- type abbreviation
  1206     @{nonterminal NAME}   -- type of concrete syntactic category
  1207     @{type_syntax NAME}   -- syntax representation of any of the above
  1208 
  1209     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
  1210     @{const_abbrev NAME}  -- abbreviated constant
  1211     @{const_syntax NAME}  -- syntax representation of any of the above
  1212 
  1213 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
  1214 syntax constant (cf. 'syntax' command).
  1215 
  1216 * Antiquotation @{make_string} inlines a function to print arbitrary
  1217 values similar to the ML toplevel.  The result is compiler dependent
  1218 and may fall back on "?" in certain situations.
  1219 
  1220 * Diagnostic commands 'ML_val' and 'ML_command' may refer to
  1221 antiquotations @{Isar.state} and @{Isar.goal}.  This replaces impure
  1222 Isar.state() and Isar.goal(), which belong to the old TTY loop and do
  1223 not work with the asynchronous Isar document model.
  1224 
  1225 * Configuration options now admit dynamic default values, depending on
  1226 the context or even global references.
  1227 
  1228 * SHA1.digest digests strings according to SHA-1 (see RFC 3174).  It
  1229 uses an efficient external library if available (for Poly/ML).
  1230 
  1231 * Renamed some important ML structures, while keeping the old names
  1232 for some time as aliases within the structure Legacy:
  1233 
  1234   OuterKeyword  ~>  Keyword
  1235   OuterLex      ~>  Token
  1236   OuterParse    ~>  Parse
  1237   OuterSyntax   ~>  Outer_Syntax
  1238   PrintMode     ~>  Print_Mode
  1239   SpecParse     ~>  Parse_Spec
  1240   ThyInfo       ~>  Thy_Info
  1241   ThyLoad       ~>  Thy_Load
  1242   ThyOutput     ~>  Thy_Output
  1243   TypeInfer     ~>  Type_Infer
  1244 
  1245 Note that "open Legacy" simplifies porting of sources, but forgetting
  1246 to remove it again will complicate porting again in the future.
  1247 
  1248 * Most operations that refer to a global context are named
  1249 accordingly, e.g. Simplifier.global_context or
  1250 ProofContext.init_global.  There are some situations where a global
  1251 context actually works, but under normal circumstances one needs to
  1252 pass the proper local context through the code!
  1253 
  1254 * Discontinued old TheoryDataFun with its copy/init operation -- data
  1255 needs to be pure.  Functor Theory_Data_PP retains the traditional
  1256 Pretty.pp argument to merge, which is absent in the standard
  1257 Theory_Data version.
  1258 
  1259 * Sorts.certify_sort and derived "cert" operations for types and terms
  1260 no longer minimize sorts.  Thus certification at the boundary of the
  1261 inference kernel becomes invariant under addition of class relations,
  1262 which is an important monotonicity principle.  Sorts are now minimized
  1263 in the syntax layer only, at the boundary between the end-user and the
  1264 system.  Subtle INCOMPATIBILITY, may have to use Sign.minimize_sort
  1265 explicitly in rare situations.
  1266 
  1267 * Renamed old-style Drule.standard to Drule.export_without_context, to
  1268 emphasize that this is in no way a standard operation.
  1269 INCOMPATIBILITY.
  1270 
  1271 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
  1272 usual for resolution.  Rare INCOMPATIBILITY.
  1273 
  1274 * Renamed varify/unvarify operations to varify_global/unvarify_global
  1275 to emphasize that these only work in a global situation (which is
  1276 quite rare).
  1277 
  1278 * Curried take and drop in library.ML; negative length is interpreted
  1279 as infinity (as in chop).  Subtle INCOMPATIBILITY.
  1280 
  1281 * Proof terms: type substitutions on proof constants now use canonical
  1282 order of type variables.  INCOMPATIBILITY for tools working with proof
  1283 terms.
  1284 
  1285 * Raw axioms/defs may no longer carry sort constraints, and raw defs
  1286 may no longer carry premises.  User-level specifications are
  1287 transformed accordingly by Thm.add_axiom/add_def.
  1288 
  1289 
  1290 *** System ***
  1291 
  1292 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
  1293 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
  1294 proof terms are enabled unconditionally in the new HOL-Proofs image.
  1295 
  1296 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
  1297 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
  1298 respectively.
  1299 
  1300 * Old lib/scripts/polyml-platform is superseded by the
  1301 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
  1302 variant, even on a 64 bit machine.  The following example setting
  1303 prefers 64 bit if available:
  1304 
  1305   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
  1306 
  1307 * The preliminary Isabelle/jEdit application demonstrates the emerging
  1308 Isabelle/Scala layer for advanced prover interaction and integration.
  1309 See src/Tools/jEdit or "isabelle jedit" provided by the properly built
  1310 component.
  1311 
  1312 * "IsabelleText" is a Unicode font derived from Bitstream Vera Mono
  1313 and Bluesky TeX fonts.  It provides the usual Isabelle symbols,
  1314 similar to the default assignment of the document preparation system
  1315 (cf. isabellesym.sty).  The Isabelle/Scala class Isabelle_System
  1316 provides some operations for direct access to the font without asking
  1317 the user for manual installation.
  1318 
  1319 
  1320 
  1321 New in Isabelle2009-1 (December 2009)
  1322 -------------------------------------
  1323 
  1324 *** General ***
  1325 
  1326 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
  1327 one backslash should be used, even in ML sources.
  1328 
  1329 
  1330 *** Pure ***
  1331 
  1332 * Locale interpretation propagates mixins along the locale hierarchy.
  1333 The currently only available mixins are the equations used to map
  1334 local definitions to terms of the target domain of an interpretation.
  1335 
  1336 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
  1337 loc" to print all interpretations of locale "loc" in the theory.
  1338 Interpretations in proofs are not shown.
  1339 
  1340 * Thoroughly revised locales tutorial.  New section on conditional
  1341 interpretation.
  1342 
  1343 * On instantiation of classes, remaining undefined class parameters
  1344 are formally declared.  INCOMPATIBILITY.
  1345 
  1346 
  1347 *** Document preparation ***
  1348 
  1349 * New generalized style concept for printing terms: @{foo (style) ...}
  1350 instead of @{foo_style style ...}  (old form is still retained for
  1351 backward compatibility).  Styles can be also applied for
  1352 antiquotations prop, term_type and typeof.
  1353 
  1354 
  1355 *** HOL ***
  1356 
  1357 * New proof method "smt" for a combination of first-order logic with
  1358 equality, linear and nonlinear (natural/integer/real) arithmetic, and
  1359 fixed-size bitvectors; there is also basic support for higher-order
  1360 features (esp. lambda abstractions).  It is an incomplete decision
  1361 procedure based on external SMT solvers using the oracle mechanism;
  1362 for the SMT solver Z3, this method is proof-producing.  Certificates
  1363 are provided to avoid calling the external solvers solely for
  1364 re-checking proofs.  Due to a remote SMT service there is no need for
  1365 installing SMT solvers locally.  See src/HOL/SMT.
  1366 
  1367 * New commands to load and prove verification conditions generated by
  1368 the Boogie program verifier or derived systems (e.g. the Verifying C
  1369 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
  1370 
  1371 * New counterexample generator tool 'nitpick' based on the Kodkod
  1372 relational model finder.  See src/HOL/Tools/Nitpick and
  1373 src/HOL/Nitpick_Examples.
  1374 
  1375 * New commands 'code_pred' and 'values' to invoke the predicate
  1376 compiler and to enumerate values of inductive predicates.
  1377 
  1378 * A tabled implementation of the reflexive transitive closure.
  1379 
  1380 * New implementation of quickcheck uses generic code generator;
  1381 default generators are provided for all suitable HOL types, records
  1382 and datatypes.  Old quickcheck can be re-activated importing theory
  1383 Library/SML_Quickcheck.
  1384 
  1385 * New testing tool Mirabelle for automated proof tools.  Applies
  1386 several tools and tactics like sledgehammer, metis, or quickcheck, to
  1387 every proof step in a theory.  To be used in batch mode via the
  1388 "mirabelle" utility.
  1389 
  1390 * New proof method "sos" (sum of squares) for nonlinear real
  1391 arithmetic (originally due to John Harison). It requires theory
  1392 Library/Sum_Of_Squares.  It is not a complete decision procedure but
  1393 works well in practice on quantifier-free real arithmetic with +, -,
  1394 *, ^, =, <= and <, i.e. boolean combinations of equalities and
  1395 inequalities between polynomials.  It makes use of external
  1396 semidefinite programming solvers.  Method "sos" generates a
  1397 certificate that can be pasted into the proof thus avoiding the need
  1398 to call an external tool every time the proof is checked.  See
  1399 src/HOL/Library/Sum_Of_Squares.
  1400 
  1401 * New method "linarith" invokes existing linear arithmetic decision
  1402 procedure only.
  1403 
  1404 * New command 'atp_minimal' reduces result produced by Sledgehammer.
  1405 
  1406 * New Sledgehammer option "Full Types" in Proof General settings menu.
  1407 Causes full type information to be output to the ATPs.  This slows
  1408 ATPs down considerably but eliminates a source of unsound "proofs"
  1409 that fail later.
  1410 
  1411 * New method "metisFT": A version of metis that uses full type
  1412 information in order to avoid failures of proof reconstruction.
  1413 
  1414 * New evaluator "approximate" approximates an real valued term using
  1415 the same method as the approximation method.
  1416 
  1417 * Method "approximate" now supports arithmetic expressions as
  1418 boundaries of intervals and implements interval splitting and Taylor
  1419 series expansion.
  1420 
  1421 * ML antiquotation @{code_datatype} inserts definition of a datatype
  1422 generated by the code generator; e.g. see src/HOL/Predicate.thy.
  1423 
  1424 * New theory SupInf of the supremum and infimum operators for sets of
  1425 reals.
  1426 
  1427 * New theory Probability, which contains a development of measure
  1428 theory, eventually leading to Lebesgue integration and probability.
  1429 
  1430 * Extended Multivariate Analysis to include derivation and Brouwer's
  1431 fixpoint theorem.
  1432 
  1433 * Reorganization of number theory, INCOMPATIBILITY:
  1434   - new number theory development for nat and int, in theories Divides
  1435     and GCD as well as in new session Number_Theory
  1436   - some constants and facts now suffixed with _nat and _int
  1437     accordingly
  1438   - former session NumberTheory now named Old_Number_Theory, including
  1439     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
  1440   - moved theory Pocklington from src/HOL/Library to
  1441     src/HOL/Old_Number_Theory
  1442 
  1443 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
  1444 lcm of finite and infinite sets. It is shown that they form a complete
  1445 lattice.
  1446 
  1447 * Class semiring_div requires superclass no_zero_divisors and proof of
  1448 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
  1449 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
  1450 generalized to class semiring_div, subsuming former theorems
  1451 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
  1452 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
  1453 INCOMPATIBILITY.
  1454 
  1455 * Refinements to lattice classes and sets:
  1456   - less default intro/elim rules in locale variant, more default
  1457     intro/elim rules in class variant: more uniformity
  1458   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
  1459     le_inf_iff
  1460   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
  1461     sup_aci)
  1462   - renamed ACI to inf_sup_aci
  1463   - new class "boolean_algebra"
  1464   - class "complete_lattice" moved to separate theory
  1465     "Complete_Lattice"; corresponding constants (and abbreviations)
  1466     renamed and with authentic syntax:
  1467     Set.Inf ~>    Complete_Lattice.Inf
  1468     Set.Sup ~>    Complete_Lattice.Sup
  1469     Set.INFI ~>   Complete_Lattice.INFI
  1470     Set.SUPR ~>   Complete_Lattice.SUPR
  1471     Set.Inter ~>  Complete_Lattice.Inter
  1472     Set.Union ~>  Complete_Lattice.Union
  1473     Set.INTER ~>  Complete_Lattice.INTER
  1474     Set.UNION ~>  Complete_Lattice.UNION
  1475   - authentic syntax for
  1476     Set.Pow
  1477     Set.image
  1478   - mere abbreviations:
  1479     Set.empty               (for bot)
  1480     Set.UNIV                (for top)
  1481     Set.inter               (for inf, formerly Set.Int)
  1482     Set.union               (for sup, formerly Set.Un)
  1483     Complete_Lattice.Inter  (for Inf)
  1484     Complete_Lattice.Union  (for Sup)
  1485     Complete_Lattice.INTER  (for INFI)
  1486     Complete_Lattice.UNION  (for SUPR)
  1487   - object-logic definitions as far as appropriate
  1488 
  1489 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
  1490 Un_subset_iff are explicitly deleted as default simp rules; then also
  1491 their lattice counterparts le_inf_iff and le_sup_iff have to be
  1492 deleted to achieve the desired effect.
  1493 
  1494 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
  1495 rules by default any longer; the same applies to min_max.inf_absorb1
  1496 etc.  INCOMPATIBILITY.
  1497 
  1498 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
  1499 pred_set_conv by default.  INCOMPATIBILITY.
  1500 
  1501 * Power operations on relations and functions are now one dedicated
  1502 constant "compow" with infix syntax "^^".  Power operation on
  1503 multiplicative monoids retains syntax "^" and is now defined generic
  1504 in class power.  INCOMPATIBILITY.
  1505 
  1506 * Relation composition "R O S" now has a more standard argument order:
  1507 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
  1508 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
  1509 break, since the O_assoc rule was not rewritten like this.  Fix using
  1510 O_assoc[symmetric].  The same applies to the curried version "R OO S".
  1511 
  1512 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
  1513 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
  1514 INCOMPATIBILITY.
  1515 
  1516 * Most rules produced by inductive and datatype package have mandatory
  1517 prefixes.  INCOMPATIBILITY.
  1518 
  1519 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
  1520 the attribute of the same name.  Each of the theorems in the list
  1521 DERIV_intros assumes composition with an additional function and
  1522 matches a variable to the derivative, which has to be solved by the
  1523 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
  1524 of most elementary terms.  Former Maclauren.DERIV_tac and
  1525 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
  1526 INCOMPATIBILITY.
  1527 
  1528 * Code generator attributes follow the usual underscore convention:
  1529     code_unfold     replaces    code unfold
  1530     code_post       replaces    code post
  1531     etc.
  1532   INCOMPATIBILITY.
  1533 
  1534 * Renamed methods:
  1535     sizechange -> size_change
  1536     induct_scheme -> induction_schema
  1537   INCOMPATIBILITY.
  1538 
  1539 * Discontinued abbreviation "arbitrary" of constant "undefined".
  1540 INCOMPATIBILITY, use "undefined" directly.
  1541 
  1542 * Renamed theorems:
  1543     Suc_eq_add_numeral_1 -> Suc_eq_plus1
  1544     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
  1545     Suc_plus1 -> Suc_eq_plus1
  1546     *anti_sym -> *antisym*
  1547     vector_less_eq_def -> vector_le_def
  1548   INCOMPATIBILITY.
  1549 
  1550 * Added theorem List.map_map as [simp].  Removed List.map_compose.
  1551 INCOMPATIBILITY.
  1552 
  1553 * Removed predicate "M hassize n" (<--> card M = n & finite M).
  1554 INCOMPATIBILITY.
  1555 
  1556 
  1557 *** HOLCF ***
  1558 
  1559 * Theory Representable defines a class "rep" of domains that are
  1560 representable (via an ep-pair) in the universal domain type "udom".
  1561 Instances are provided for all type constructors defined in HOLCF.
  1562 
  1563 * The 'new_domain' command is a purely definitional version of the
  1564 domain package, for representable domains.  Syntax is identical to the
  1565 old domain package.  The 'new_domain' package also supports indirect
  1566 recursion using previously-defined type constructors.  See
  1567 src/HOLCF/ex/New_Domain.thy for examples.
  1568 
  1569 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
  1570 on the left-hand side of an equation, and then performs
  1571 simplification.  Rewriting is done using rules declared with the
  1572 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
  1573 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
  1574 
  1575 * The pattern-match compiler in 'fixrec' can now handle constructors
  1576 with HOL function types.  Pattern-match combinators for the Pair
  1577 constructor are pre-configured.
  1578 
  1579 * The 'fixrec' package now produces better fixed-point induction rules
  1580 for mutually-recursive definitions:  Induction rules have conclusions
  1581 of the form "P foo bar" instead of "P <foo, bar>".
  1582 
  1583 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
  1584 been renamed to "below".  The name "below" now replaces "less" in many
  1585 theorem names.  (Legacy theorem names using "less" are still supported
  1586 as well.)
  1587 
  1588 * The 'fixrec' package now supports "bottom patterns".  Bottom
  1589 patterns can be used to generate strictness rules, or to make
  1590 functions more strict (much like the bang-patterns supported by the
  1591 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
  1592 examples.
  1593 
  1594 
  1595 *** ML ***
  1596 
  1597 * Support for Poly/ML 5.3.0, with improved reporting of compiler
  1598 errors and run-time exceptions, including detailed source positions.
  1599 
  1600 * Structure Name_Space (formerly NameSpace) now manages uniquely
  1601 identified entries, with some additional information such as source
  1602 position, logical grouping etc.
  1603 
  1604 * Theory and context data is now introduced by the simplified and
  1605 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
  1606 to be pure, but the old TheoryDataFun for mutable data (with explicit
  1607 copy operation) is still available for some time.
  1608 
  1609 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
  1610 provides a high-level programming interface to synchronized state
  1611 variables with atomic update.  This works via pure function
  1612 application within a critical section -- its runtime should be as
  1613 short as possible; beware of deadlocks if critical code is nested,
  1614 either directly or indirectly via other synchronized variables!
  1615 
  1616 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
  1617 wraps raw ML references, explicitly indicating their non-thread-safe
  1618 behaviour.  The Isar toplevel keeps this structure open, to
  1619 accommodate Proof General as well as quick and dirty interactive
  1620 experiments with references.
  1621 
  1622 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
  1623 parallel tactical reasoning.
  1624 
  1625 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
  1626 are similar to SUBPROOF, but are slightly more flexible: only the
  1627 specified parts of the subgoal are imported into the context, and the
  1628 body tactic may introduce new subgoals and schematic variables.
  1629 
  1630 * Old tactical METAHYPS, which does not observe the proof context, has
  1631 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
  1632 or Subgoal.FOCUS etc.
  1633 
  1634 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
  1635 functors have their own ML name space there is no point to mark them
  1636 separately.)  Minor INCOMPATIBILITY.
  1637 
  1638 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
  1639 
  1640 * Renamed several structures FooBar to Foo_Bar.  Occasional,
  1641 INCOMPATIBILITY.
  1642 
  1643 * Operations of structure Skip_Proof no longer require quick_and_dirty
  1644 mode, which avoids critical setmp.
  1645 
  1646 * Eliminated old Attrib.add_attributes, Method.add_methods and related
  1647 combinators for "args".  INCOMPATIBILITY, need to use simplified
  1648 Attrib/Method.setup introduced in Isabelle2009.
  1649 
  1650 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
  1651 back on global_simpset_of, global_claset_of, global_clasimpset_of as
  1652 last resort.  INCOMPATIBILITY.
  1653 
  1654 * Display.pretty_thm now requires a proper context (cf. former
  1655 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
  1656 or even Display.pretty_thm_without_context as last resort.
  1657 INCOMPATIBILITY.
  1658 
  1659 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
  1660 Syntax.pretty_typ/term directly, preferably with proper context
  1661 instead of global theory.
  1662 
  1663 
  1664 *** System ***
  1665 
  1666 * Further fine tuning of parallel proof checking, scales up to 8 cores
  1667 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
  1668 usedir option -q.
  1669 
  1670 * Support for additional "Isabelle components" via etc/components, see
  1671 also the system manual.
  1672 
  1673 * The isabelle makeall tool now operates on all components with
  1674 IsaMakefile, not just hardwired "logics".
  1675 
  1676 * Removed "compress" option from isabelle-process and isabelle usedir;
  1677 this is always enabled.
  1678 
  1679 * Discontinued support for Poly/ML 4.x versions.
  1680 
  1681 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
  1682 on a given logic image.  This requires the lighttpd webserver and is
  1683 currently supported on Linux only.
  1684 
  1685 
  1686 
  1687 New in Isabelle2009 (April 2009)
  1688 --------------------------------
  1689 
  1690 *** General ***
  1691 
  1692 * Simplified main Isabelle executables, with less surprises on
  1693 case-insensitive file-systems (such as Mac OS).
  1694 
  1695   - The main Isabelle tool wrapper is now called "isabelle" instead of
  1696     "isatool."
  1697 
  1698   - The former "isabelle" alias for "isabelle-process" has been
  1699     removed (should rarely occur to regular users).
  1700 
  1701   - The former "isabelle-interface" and its alias "Isabelle" have been
  1702     removed (interfaces are now regular Isabelle tools).
  1703 
  1704 Within scripts and make files, the Isabelle environment variables
  1705 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
  1706 respectively.  (The latter are still available as legacy feature.)
  1707 
  1708 The old isabelle-interface wrapper could react in confusing ways if
  1709 the interface was uninstalled or changed otherwise.  Individual
  1710 interface tool configuration is now more explicit, see also the
  1711 Isabelle system manual.  In particular, Proof General is now available
  1712 via "isabelle emacs".
  1713 
  1714 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
  1715 purge installed copies of Isabelle executables and re-run "isabelle
  1716 install -p ...", or use symlinks.
  1717 
  1718 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
  1719 old ~/isabelle, which was slightly non-standard and apt to cause
  1720 surprises on case-insensitive file-systems (such as Mac OS).
  1721 
  1722 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
  1723 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
  1724 care is required when using older releases of Isabelle.  Note that
  1725 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
  1726 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
  1727 
  1728 * Proofs of fully specified statements are run in parallel on
  1729 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
  1730 a regular 4-core machine, if the initial heap space is made reasonably
  1731 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
  1732 
  1733 * The main reference manuals ("isar-ref", "implementation", and
  1734 "system") have been updated and extended.  Formally checked references
  1735 as hyperlinks are now available uniformly.
  1736 
  1737 
  1738 *** Pure ***
  1739 
  1740 * Complete re-implementation of locales.  INCOMPATIBILITY in several
  1741 respects.  The most important changes are listed below.  See the
  1742 Tutorial on Locales ("locales" manual) for details.
  1743 
  1744 - In locale expressions, instantiation replaces renaming.  Parameters
  1745 must be declared in a for clause.  To aid compatibility with previous
  1746 parameter inheritance, in locale declarations, parameters that are not
  1747 'touched' (instantiation position "_" or omitted) are implicitly added
  1748 with their syntax at the beginning of the for clause.
  1749 
  1750 - Syntax from abbreviations and definitions in locales is available in
  1751 locale expressions and context elements.  The latter is particularly
  1752 useful in locale declarations.
  1753 
  1754 - More flexible mechanisms to qualify names generated by locale
  1755 expressions.  Qualifiers (prefixes) may be specified in locale
  1756 expressions, and can be marked as mandatory (syntax: "name!:") or
  1757 optional (syntax "name?:").  The default depends for plain "name:"
  1758 depends on the situation where a locale expression is used: in
  1759 commands 'locale' and 'sublocale' prefixes are optional, in
  1760 'interpretation' and 'interpret' prefixes are mandatory.  The old
  1761 implicit qualifiers derived from the parameter names of a locale are
  1762 no longer generated.
  1763 
  1764 - Command "sublocale l < e" replaces "interpretation l < e".  The
  1765 instantiation clause in "interpretation" and "interpret" (square
  1766 brackets) is no longer available.  Use locale expressions.
  1767 
  1768 - When converting proof scripts, mandatory qualifiers in
  1769 'interpretation' and 'interpret' should be retained by default, even
  1770 if this is an INCOMPATIBILITY compared to former behavior.  In the
  1771 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
  1772 in locale expressions range over a single locale instance only.
  1773 
  1774 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
  1775 In existing theorem specifications replace the includes element by the
  1776 respective context elements of the included locale, omitting those
  1777 that are already present in the theorem specification.  Multiple
  1778 assume elements of a locale should be replaced by a single one
  1779 involving the locale predicate.  In the proof body, declarations (most
  1780 notably theorems) may be regained by interpreting the respective
  1781 locales in the proof context as required (command "interpret").
  1782 
  1783 If using "includes" in replacement of a target solely because the
  1784 parameter types in the theorem are not as general as in the target,
  1785 consider declaring a new locale with additional type constraints on
  1786 the parameters (context element "constrains").
  1787 
  1788 - Discontinued "locale (open)".  INCOMPATIBILITY.
  1789 
  1790 - Locale interpretation commands no longer attempt to simplify goal.
  1791 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
  1792 methods intro_locales and unfold_locales to clarify.
  1793 
  1794 - Locale interpretation commands no longer accept interpretation
  1795 attributes.  INCOMPATIBILITY.
  1796 
  1797 * Class declaration: so-called "base sort" must not be given in import
  1798 list any longer, but is inferred from the specification.  Particularly
  1799 in HOL, write
  1800 
  1801     class foo = ...
  1802 
  1803 instead of
  1804 
  1805     class foo = type + ...
  1806 
  1807 * Class target: global versions of theorems stemming do not carry a
  1808 parameter prefix any longer.  INCOMPATIBILITY.
  1809 
  1810 * Class 'instance' command no longer accepts attached definitions.
  1811 INCOMPATIBILITY, use proper 'instantiation' target instead.
  1812 
  1813 * Recovered hiding of consts, which was accidentally broken in
  1814 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
  1815 makes c inaccessible; consider using ``hide (open) const c'' instead.
  1816 
  1817 * Slightly more coherent Pure syntax, with updated documentation in
  1818 isar-ref manual.  Removed locales meta_term_syntax and
  1819 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
  1820 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
  1821 directly in regular applications.
  1822 
  1823 * There is a new syntactic category "float_const" for signed decimal
  1824 fractions (e.g. 123.45 or -123.45).
  1825 
  1826 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
  1827 interface with 'setup' command instead.
  1828 
  1829 * Command 'local_setup' is similar to 'setup', but operates on a local
  1830 theory context.
  1831 
  1832 * The 'axiomatization' command now only works within a global theory
  1833 context.  INCOMPATIBILITY.
  1834 
  1835 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
  1836 hypotheses.  Sorts required in the course of reasoning need to be
  1837 covered by the constraints in the initial statement, completed by the
  1838 type instance information of the background theory.  Non-trivial sort
  1839 hypotheses, which rarely occur in practice, may be specified via
  1840 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
  1841 
  1842   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
  1843 
  1844 The result contains an implicit sort hypotheses as before --
  1845 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
  1846 normalization.
  1847 
  1848 * Generalized Isar history, with support for linear undo, direct state
  1849 addressing etc.
  1850 
  1851 * Changed defaults for unify configuration options:
  1852 
  1853   unify_trace_bound = 50 (formerly 25)
  1854   unify_search_bound = 60 (formerly 30)
  1855 
  1856 * Different bookkeeping for code equations (INCOMPATIBILITY):
  1857 
  1858   a) On theory merge, the last set of code equations for a particular
  1859      constant is taken (in accordance with the policy applied by other
  1860      parts of the code generator framework).
  1861 
  1862   b) Code equations stemming from explicit declarations (e.g. code
  1863      attribute) gain priority over default code equations stemming
  1864      from definition, primrec, fun etc.
  1865 
  1866 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
  1867 
  1868 * Unified theorem tables for both code generators.  Thus [code
  1869 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
  1870 
  1871 * Command 'find_consts' searches for constants based on type and name
  1872 patterns, e.g.
  1873 
  1874     find_consts "_ => bool"
  1875 
  1876 By default, matching is against subtypes, but it may be restricted to
  1877 the whole type.  Searching by name is possible.  Multiple queries are
  1878 conjunctive and queries may be negated by prefixing them with a
  1879 hyphen:
  1880 
  1881     find_consts strict: "_ => bool" name: "Int" -"int => int"
  1882 
  1883 * New 'find_theorems' criterion "solves" matches theorems that
  1884 directly solve the current goal (modulo higher-order unification).
  1885 
  1886 * Auto solve feature for main theorem statements: whenever a new goal
  1887 is stated, "find_theorems solves" is called; any theorems that could
  1888 solve the lemma directly are listed as part of the goal state.
  1889 Cf. associated options in Proof General Isabelle settings menu,
  1890 enabled by default, with reasonable timeout for pathological cases of
  1891 higher-order unification.
  1892 
  1893 
  1894 *** Document preparation ***
  1895 
  1896 * Antiquotation @{lemma} now imitates a regular terminal proof,
  1897 demanding keyword 'by' and supporting the full method expression
  1898 syntax just like the Isar command 'by'.
  1899 
  1900 
  1901 *** HOL ***
  1902 
  1903 * Integrated main parts of former image HOL-Complex with HOL.  Entry
  1904 points Main and Complex_Main remain as before.
  1905 
  1906 * Logic image HOL-Plain provides a minimal HOL with the most important
  1907 tools available (inductive, datatype, primrec, ...).  This facilitates
  1908 experimentation and tool development.  Note that user applications
  1909 (and library theories) should never refer to anything below theory
  1910 Main, as before.
  1911 
  1912 * Logic image HOL-Main stops at theory Main, and thus facilitates
  1913 experimentation due to shorter build times.
  1914 
  1915 * Logic image HOL-NSA contains theories of nonstandard analysis which
  1916 were previously part of former HOL-Complex.  Entry point Hyperreal
  1917 remains valid, but theories formerly using Complex_Main should now use
  1918 new entry point Hypercomplex.
  1919 
  1920 * Generic ATP manager for Sledgehammer, based on ML threads instead of
  1921 Posix processes.  Avoids potentially expensive forking of the ML
  1922 process.  New thread-based implementation also works on non-Unix
  1923 platforms (Cygwin).  Provers are no longer hardwired, but defined
  1924 within the theory via plain ML wrapper functions.  Basic Sledgehammer
  1925 commands are covered in the isar-ref manual.
  1926 
  1927 * Wrapper scripts for remote SystemOnTPTP service allows to use
  1928 sledgehammer without local ATP installation (Vampire etc.). Other
  1929 provers may be included via suitable ML wrappers, see also
  1930 src/HOL/ATP_Linkup.thy.
  1931 
  1932 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
  1933 menu.
  1934 
  1935 * The metis method no longer fails because the theorem is too trivial
  1936 (contains the empty clause).
  1937 
  1938 * The metis method now fails in the usual manner, rather than raising
  1939 an exception, if it determines that it cannot prove the theorem.
  1940 
  1941 * Method "coherent" implements a prover for coherent logic (see also
  1942 src/Tools/coherent.ML).
  1943 
  1944 * Constants "undefined" and "default" replace "arbitrary".  Usually
  1945 "undefined" is the right choice to replace "arbitrary", though
  1946 logically there is no difference.  INCOMPATIBILITY.
  1947 
  1948 * Command "value" now integrates different evaluation mechanisms.  The
  1949 result of the first successful evaluation mechanism is printed.  In
  1950 square brackets a particular named evaluation mechanisms may be
  1951 specified (currently, [SML], [code] or [nbe]).  See further
  1952 src/HOL/ex/Eval_Examples.thy.
  1953 
  1954 * Normalization by evaluation now allows non-leftlinear equations.
  1955 Declare with attribute [code nbe].
  1956 
  1957 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1958 as the structured Isar versions "cases" and "induct", cf. the
  1959 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1960 are now presented as a list of individual projections
  1961 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1962 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1963 rare situations a different rule is selected --- notably nested tuple
  1964 elimination instead of former prod.exhaust: use explicit (case_tac t
  1965 rule: prod.exhaust) here.
  1966 
  1967 * Attributes "cases", "induct", "coinduct" support "del" option.
  1968 
  1969 * Removed fact "case_split_thm", which duplicates "case_split".
  1970 
  1971 * The option datatype has been moved to a new theory Option.  Renamed
  1972 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1973 
  1974 * New predicate "strict_mono" classifies strict functions on partial
  1975 orders.  With strict functions on linear orders, reasoning about
  1976 (in)equalities is facilitated by theorems "strict_mono_eq",
  1977 "strict_mono_less_eq" and "strict_mono_less".
  1978 
  1979 * Some set operations are now proper qualified constants with
  1980 authentic syntax.  INCOMPATIBILITY:
  1981 
  1982     op Int ~>   Set.Int
  1983     op Un ~>    Set.Un
  1984     INTER ~>    Set.INTER
  1985     UNION ~>    Set.UNION
  1986     Inter ~>    Set.Inter
  1987     Union ~>    Set.Union
  1988     {} ~>       Set.empty
  1989     UNIV ~>     Set.UNIV
  1990 
  1991 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1992 theory Set.
  1993 
  1994 * Auxiliary class "itself" has disappeared -- classes without any
  1995 parameter are treated as expected by the 'class' command.
  1996 
  1997 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1998 
  1999 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  2000 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  2001 
  2002 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  2003 method "approximation".  It proves formulas on real values by using
  2004 interval arithmetic.  In the formulas are also the transcendental
  2005 functions sin, cos, tan, atan, ln, exp and the constant pi are
  2006 allowed. For examples see
  2007 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  2008 
  2009 * Theory "Reflection" now resides in HOL/Library.
  2010 
  2011 * Entry point to Word library now simply named "Word".
  2012 INCOMPATIBILITY.
  2013 
  2014 * Made source layout more coherent with logical distribution
  2015 structure:
  2016 
  2017     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  2018     src/HOL/Library/Code_Message.thy ~> src/HOL/
  2019     src/HOL/Library/GCD.thy ~> src/HOL/
  2020     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  2021     src/HOL/Library/Parity.thy ~> src/HOL/
  2022     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  2023     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  2024     src/HOL/Real/Lubs.thy ~> src/HOL/
  2025     src/HOL/Real/PReal.thy ~> src/HOL/
  2026     src/HOL/Real/Rational.thy ~> src/HOL/
  2027     src/HOL/Real/RComplete.thy ~> src/HOL/
  2028     src/HOL/Real/RealDef.thy ~> src/HOL/
  2029     src/HOL/Real/RealPow.thy ~> src/HOL/
  2030     src/HOL/Real/Real.thy ~> src/HOL/
  2031     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  2032     src/HOL/Complex/Complex.thy ~> src/HOL/
  2033     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  2034     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  2035     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  2036     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  2037     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  2038     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  2039     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  2040     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  2041     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  2042     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  2043     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  2044     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  2045     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  2046     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  2047     src/HOL/Real/Float ~> src/HOL/Library/
  2048     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  2049     src/HOL/Real/RealVector.thy ~> src/HOL/
  2050 
  2051     src/HOL/arith_data.ML ~> src/HOL/Tools
  2052     src/HOL/hologic.ML ~> src/HOL/Tools
  2053     src/HOL/simpdata.ML ~> src/HOL/Tools
  2054     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  2055     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  2056     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  2057     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  2058     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  2059     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  2060     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  2061 
  2062     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  2063     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  2064     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  2065     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  2066     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  2067     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  2068 
  2069 * If methods "eval" and "evaluation" encounter a structured proof
  2070 state with !!/==>, only the conclusion is evaluated to True (if
  2071 possible), avoiding strange error messages.
  2072 
  2073 * Method "sizechange" automates termination proofs using (a
  2074 modification of) the size-change principle.  Requires SAT solver.  See
  2075 src/HOL/ex/Termination.thy for examples.
  2076 
  2077 * Simplifier: simproc for let expressions now unfolds if bound
  2078 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  2079 
  2080 * Method "arith": Linear arithmetic now ignores all inequalities when
  2081 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  2082 
  2083 * New attribute "arith" for facts that should always be used
  2084 automatically by arithmetic. It is intended to be used locally in
  2085 proofs, e.g.
  2086 
  2087   assumes [arith]: "x > 0"
  2088 
  2089 Global usage is discouraged because of possible performance impact.
  2090 
  2091 * New classes "top" and "bot" with corresponding operations "top" and
  2092 "bot" in theory Orderings; instantiation of class "complete_lattice"
  2093 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  2094 
  2095 * Changed definition lemma "less_fun_def" in order to provide an
  2096 instance for preorders on functions; use lemma "less_le" instead.
  2097 INCOMPATIBILITY.
  2098 
  2099 * Theory Orderings: class "wellorder" moved here, with explicit
  2100 induction rule "less_induct" as assumption.  For instantiation of
  2101 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  2102 INCOMPATIBILITY.
  2103 
  2104 * Theory Orderings: added class "preorder" as superclass of "order".
  2105 INCOMPATIBILITY: Instantiation proofs for order, linorder
  2106 etc. slightly changed.  Some theorems named order_class.* now named
  2107 preorder_class.*.
  2108 
  2109 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  2110 "diag" to "Id_on".
  2111 
  2112 * Theory Finite_Set: added a new fold combinator of type
  2113 
  2114   ('a => 'b => 'b) => 'b => 'a set => 'b
  2115 
  2116 Occasionally this is more convenient than the old fold combinator
  2117 which is now defined in terms of the new one and renamed to
  2118 fold_image.
  2119 
  2120 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  2121 and "ring_simps" have been replaced by "algebra_simps" (which can be
  2122 extended with further lemmas!).  At the moment both still exist but
  2123 the former will disappear at some point.
  2124 
  2125 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  2126 class recpower.  Type-specific simp rules for various recpower types
  2127 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  2128 
  2129 rat_power_0    -> power_0
  2130 rat_power_Suc  -> power_Suc
  2131 realpow_0      -> power_0
  2132 realpow_Suc    -> power_Suc
  2133 complexpow_0   -> power_0
  2134 complexpow_Suc -> power_Suc
  2135 power_poly_0   -> power_0
  2136 power_poly_Suc -> power_Suc
  2137 
  2138 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  2139 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  2140 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  2141 of lemmas from Divides has been generalized from nat to class
  2142 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  2143 renames resulting from duplicate elimination:
  2144 
  2145     dvd_def_mod ~>          dvd_eq_mod_eq_0
  2146     zero_dvd_iff ~>         dvd_0_left_iff
  2147     dvd_0 ~>                dvd_0_right
  2148     DIVISION_BY_ZERO_DIV ~> div_by_0
  2149     DIVISION_BY_ZERO_MOD ~> mod_by_0
  2150     mult_div ~>             div_mult_self2_is_id
  2151     mult_mod ~>             mod_mult_self2_is_0
  2152 
  2153 * Theory IntDiv: removed many lemmas that are instances of class-based
  2154 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  2155 rename old lemmas as follows:
  2156 
  2157 dvd_diff               -> nat_dvd_diff
  2158 dvd_zminus_iff         -> dvd_minus_iff
  2159 mod_add1_eq            -> mod_add_eq
  2160 mod_mult1_eq           -> mod_mult_right_eq
  2161 mod_mult1_eq'          -> mod_mult_left_eq
  2162 mod_mult_distrib_mod   -> mod_mult_eq
  2163 nat_mod_add_left_eq    -> mod_add_left_eq
  2164 nat_mod_add_right_eq   -> mod_add_right_eq
  2165 nat_mod_div_trivial    -> mod_div_trivial
  2166 nat_mod_mod_trivial    -> mod_mod_trivial
  2167 zdiv_zadd_self1        -> div_add_self1
  2168 zdiv_zadd_self2        -> div_add_self2
  2169 zdiv_zmult_self1       -> div_mult_self2_is_id
  2170 zdiv_zmult_self2       -> div_mult_self1_is_id
  2171 zdvd_triv_left         -> dvd_triv_left
  2172 zdvd_triv_right        -> dvd_triv_right
  2173 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  2174 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  2175 zmod_zadd_left_eq      -> mod_add_left_eq
  2176 zmod_zadd_right_eq     -> mod_add_right_eq
  2177 zmod_zadd_self1        -> mod_add_self1
  2178 zmod_zadd_self2        -> mod_add_self2
  2179 zmod_zadd1_eq          -> mod_add_eq
  2180 zmod_zdiff1_eq         -> mod_diff_eq
  2181 zmod_zdvd_zmod         -> mod_mod_cancel
  2182 zmod_zmod_cancel       -> mod_mod_cancel
  2183 zmod_zmult_self1       -> mod_mult_self2_is_0
  2184 zmod_zmult_self2       -> mod_mult_self1_is_0
  2185 zmod_1                 -> mod_by_1
  2186 zdiv_1                 -> div_by_1
  2187 zdvd_abs1              -> abs_dvd_iff
  2188 zdvd_abs2              -> dvd_abs_iff
  2189 zdvd_refl              -> dvd_refl
  2190 zdvd_trans             -> dvd_trans
  2191 zdvd_zadd              -> dvd_add
  2192 zdvd_zdiff             -> dvd_diff
  2193 zdvd_zminus_iff        -> dvd_minus_iff
  2194 zdvd_zminus2_iff       -> minus_dvd_iff
  2195 zdvd_zmultD            -> dvd_mult_right
  2196 zdvd_zmultD2           -> dvd_mult_left
  2197 zdvd_zmult_mono        -> mult_dvd_mono
  2198 zdvd_0_right           -> dvd_0_right
  2199 zdvd_0_left            -> dvd_0_left_iff
  2200 zdvd_1_left            -> one_dvd
  2201 zminus_dvd_iff         -> minus_dvd_iff
  2202 
  2203 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  2204 
  2205 * The real numbers offer decimal input syntax: 12.34 is translated
  2206 into 1234/10^2. This translation is not reversed upon output.
  2207 
  2208 * Theory Library/Polynomial defines an abstract type 'a poly of
  2209 univariate polynomials with coefficients of type 'a.  In addition to
  2210 the standard ring operations, it also supports div and mod.  Code
  2211 generation is also supported, using list-style constructors.
  2212 
  2213 * Theory Library/Inner_Product defines a class of real_inner for real
  2214 inner product spaces, with an overloaded operation inner :: 'a => 'a
  2215 => real.  Class real_inner is a subclass of real_normed_vector from
  2216 theory RealVector.
  2217 
  2218 * Theory Library/Product_Vector provides instances for the product
  2219 type 'a * 'b of several classes from RealVector and Inner_Product.
  2220 Definitions of addition, subtraction, scalar multiplication, norms,
  2221 and inner products are included.
  2222 
  2223 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  2224 addition to the field operations, numerals and case syntax are also
  2225 supported.
  2226 
  2227 * Theory Library/Diagonalize provides constructive version of Cantor's
  2228 first diagonalization argument.
  2229 
  2230 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  2231 zlcm (for int); carried together from various gcd/lcm developements in
  2232 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  2233 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  2234 may recover tupled syntax as follows:
  2235 
  2236     hide (open) const gcd
  2237     abbreviation gcd where
  2238       "gcd == (%(a, b). GCD.gcd a b)"
  2239     notation (output)
  2240       GCD.gcd ("gcd '(_, _')")
  2241 
  2242 The same works for lcm, zgcd, zlcm.
  2243 
  2244 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  2245 instantiations for algebraic structures.  Removed some duplicate
  2246 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  2247 
  2248 * ML antiquotation @{code} takes a constant as argument and generates
  2249 corresponding code in background and inserts name of the corresponding
  2250 resulting ML value/function/datatype constructor binding in place.
  2251 All occurrences of @{code} with a single ML block are generated
  2252 simultaneously.  Provides a generic and safe interface for
  2253 instrumentalizing code generation.  See
  2254 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  2255 In future you ought to refrain from ad-hoc compiling generated SML
  2256 code on the ML toplevel.  Note that (for technical reasons) @{code}
  2257 cannot refer to constants for which user-defined serializations are
  2258 set.  Refer to the corresponding ML counterpart directly in that
  2259 cases.
  2260 
  2261 * Command 'rep_datatype': instead of theorem names the command now
  2262 takes a list of terms denoting the constructors of the type to be
  2263 represented as datatype.  The characteristic theorems have to be
  2264 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  2265 have disappeared in favour of existing ones:
  2266 
  2267     unit_induct                 ~> unit.induct
  2268     prod_induct                 ~> prod.induct
  2269     sum_induct                  ~> sum.induct
  2270     Suc_Suc_eq                  ~> nat.inject
  2271     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  2272 
  2273 
  2274 *** HOL-Algebra ***
  2275 
  2276 * New locales for orders and lattices where the equivalence relation
  2277 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  2278 locales use a record structure with field eq for the equivalence.
  2279 
  2280 * New theory of factorial domains.
  2281 
  2282 * Units_l_inv and Units_r_inv are now simp rules by default.
  2283 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  2284 and/or r_inv will now also require deletion of these lemmas.
  2285 
  2286 * Renamed the following theorems, INCOMPATIBILITY:
  2287 
  2288 UpperD ~> Upper_memD
  2289 LowerD ~> Lower_memD
  2290 least_carrier ~> least_closed
  2291 greatest_carrier ~> greatest_closed
  2292 greatest_Lower_above ~> greatest_Lower_below
  2293 one_zero ~> carrier_one_zero
  2294 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  2295 
  2296 
  2297 *** HOL-Nominal ***
  2298 
  2299 * Nominal datatypes can now contain type-variables.
  2300 
  2301 * Commands 'nominal_inductive' and 'equivariance' work with local
  2302 theory targets.
  2303 
  2304 * Nominal primrec can now works with local theory targets and its
  2305 specification syntax now conforms to the general format as seen in
  2306 'inductive' etc.
  2307 
  2308 * Method "perm_simp" honours the standard simplifier attributes
  2309 (no_asm), (no_asm_use) etc.
  2310 
  2311 * The new predicate #* is defined like freshness, except that on the
  2312 left hand side can be a set or list of atoms.
  2313 
  2314 * Experimental command 'nominal_inductive2' derives strong induction
  2315 principles for inductive definitions.  In contrast to
  2316 'nominal_inductive', which can only deal with a fixed number of
  2317 binders, it can deal with arbitrary expressions standing for sets of
  2318 atoms to be avoided.  The only inductive definition we have at the
  2319 moment that needs this generalisation is the typing rule for Lets in
  2320 the algorithm W:
  2321 
  2322  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  2323  -----------------------------------------------------------------
  2324          Gamma |- Let x be t1 in t2 : T2
  2325 
  2326 In this rule one wants to avoid all the binders that are introduced by
  2327 "close Gamma T1".  We are looking for other examples where this
  2328 feature might be useful.  Please let us know.
  2329 
  2330 
  2331 *** HOLCF ***
  2332 
  2333 * Reimplemented the simplification procedure for proving continuity
  2334 subgoals.  The new simproc is extensible; users can declare additional
  2335 continuity introduction rules with the attribute [cont2cont].
  2336 
  2337 * The continuity simproc now uses a different introduction rule for
  2338 solving continuity subgoals on terms with lambda abstractions.  In
  2339 some rare cases the new simproc may fail to solve subgoals that the
  2340 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  2341 Potential INCOMPATIBILITY.
  2342 
  2343 * Command 'fixrec': specification syntax now conforms to the general
  2344 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  2345 examples.  INCOMPATIBILITY.
  2346 
  2347 
  2348 *** ZF ***
  2349 
  2350 * Proof of Zorn's Lemma for partial orders.
  2351 
  2352 
  2353 *** ML ***
  2354 
  2355 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  2356 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  2357 depends on multithreading, so timouts will not work before Poly/ML
  2358 5.2.1!
  2359 
  2360 * High-level support for concurrent ML programming, see
  2361 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  2362 particularly convenient to organize independent functional
  2363 computations.  The concept of "synchronized variables" provides a
  2364 higher-order interface for components with shared state, avoiding the
  2365 delicate details of mutexes and condition variables.  (Requires
  2366 Poly/ML 5.2.1 or later.)
  2367 
  2368 * ML bindings produced via Isar commands are stored within the Isar
  2369 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  2370 become thread-safe and work with undo as expected (concerning
  2371 top-level bindings, not side-effects on global references).
  2372 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  2373 compiler at runtime; really global bindings need to be given outside a
  2374 theory.  (Requires Poly/ML 5.2 or later.)
  2375 
  2376 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  2377 context.  Top-level ML bindings are stored within the proof context in
  2378 a purely sequential fashion, disregarding the nested proof structure.
  2379 ML bindings introduced by 'ML_prf' are discarded at the end of the
  2380 proof.  (Requires Poly/ML 5.2 or later.)
  2381 
  2382 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  2383 and Method.setup, as well as Isar commands 'attribute_setup' and
  2384 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  2385 existing code accordingly, or use plain 'setup' together with old
  2386 Method.add_method.
  2387 
  2388 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  2389 to 'a -> thm, while results are always tagged with an authentic oracle
  2390 name.  The Isar command 'oracle' is now polymorphic, no argument type
  2391 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  2392 accordingly.  Note that extra performance may be gained by producing
  2393 the cterm carefully, avoiding slow Thm.cterm_of.
  2394 
  2395 * Simplified interface for defining document antiquotations via
  2396 ThyOutput.antiquotation, ThyOutput.output, and optionally
  2397 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  2398 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  2399 examples.
  2400 
  2401 * More systematic treatment of long names, abstract name bindings, and
  2402 name space operations.  Basic operations on qualified names have been
  2403 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  2404 Long_Name.append.  Old type bstring has been mostly replaced by
  2405 abstract type binding (see structure Binding), which supports precise
  2406 qualification by packages and local theory targets, as well as proper
  2407 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  2408 bstring values into Binding.name, or better pass through abstract
  2409 bindings everywhere.  See further src/Pure/General/long_name.ML,
  2410 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  2411 
  2412 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  2413 LocalTheory.note etc.) now refer to the *full* internal name, not the
  2414 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  2415 
  2416 * Disposed old type and term read functions (Sign.read_def_typ,
  2417 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  2418 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  2419 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  2420 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  2421 resort for legacy applications.
  2422 
  2423 * Disposed old declarations, tactics, tactic combinators that refer to
  2424 the simpset or claset of an implicit theory (such as Addsimps,
  2425 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  2426 embedded ML text, or local_simpset_of with a proper context passed as
  2427 explicit runtime argument.
  2428 
  2429 * Rules and tactics that read instantiations (read_instantiate,
  2430 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  2431 context, which is required for parsing and type-checking.  Moreover,
  2432 the variables are specified as plain indexnames, not string encodings
  2433 thereof.  INCOMPATIBILITY.
  2434 
  2435 * Generic Toplevel.add_hook interface allows to analyze the result of
  2436 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  2437 for theorem dependency output of transactions resulting in a new
  2438 theory state.
  2439 
  2440 * ML antiquotations: block-structured compilation context indicated by
  2441 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  2442 
  2443   @{binding name}                         - basic name binding
  2444   @{let ?pat = term}                      - term abbreviation (HO matching)
  2445   @{note name = fact}                     - fact abbreviation
  2446   @{thm fact}                             - singleton fact (with attributes)
  2447   @{thms fact}                            - general fact (with attributes)
  2448   @{lemma prop by method}                 - singleton goal
  2449   @{lemma prop by meth1 meth2}            - singleton goal
  2450   @{lemma prop1 ... propN by method}      - general goal
  2451   @{lemma prop1 ... propN by meth1 meth2} - general goal
  2452   @{lemma (open) ...}                     - open derivation
  2453 
  2454 
  2455 *** System ***
  2456 
  2457 * The Isabelle "emacs" tool provides a specific interface to invoke
  2458 Proof General / Emacs, with more explicit failure if that is not
  2459 installed (the old isabelle-interface script silently falls back on
  2460 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  2461 installation location of the Proof General distribution.
  2462 
  2463 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  2464 the Isabelle process into a JVM/Scala application.  See
  2465 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  2466 process wrapper has been discontinued.)
  2467 
  2468 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  2469 
  2470 * Various status messages (with exact source position information) are
  2471 emitted, if proper markup print mode is enabled.  This allows
  2472 user-interface components to provide detailed feedback on internal
  2473 prover operations.
  2474 
  2475 
  2476 
  2477 New in Isabelle2008 (June 2008)
  2478 -------------------------------
  2479 
  2480 *** General ***
  2481 
  2482 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  2483 and updated, with formally checked references as hyperlinks.
  2484 
  2485 * Theory loader: use_thy (and similar operations) no longer set the
  2486 implicit ML context, which was occasionally hard to predict and in
  2487 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  2488 provides a proper context already.
  2489 
  2490 * Theory loader: old-style ML proof scripts being *attached* to a thy
  2491 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  2492 'use' within a theory file will do the job.
  2493 
  2494 * Name space merge now observes canonical order, i.e. the second space
  2495 is inserted into the first one, while existing entries in the first
  2496 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  2497 swap theory imports.
  2498 
  2499 * Syntax: symbol \<chi> is now considered a letter.  Potential
  2500 INCOMPATIBILITY in identifier syntax etc.
  2501 
  2502 * Outer syntax: string tokens no longer admit escaped white space,
  2503 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  2504 white space without escapes.
  2505 
  2506 * Outer syntax: string tokens may contain arbitrary character codes
  2507 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  2508 "foo_bar".
  2509 
  2510 
  2511 *** Pure ***
  2512 
  2513 * Context-dependent token translations.  Default setup reverts locally
  2514 fixed variables, and adds hilite markup for undeclared frees.
  2515 
  2516 * Unused theorems can be found using the new command 'unused_thms'.
  2517 There are three ways of invoking it:
  2518 
  2519 (1) unused_thms
  2520      Only finds unused theorems in the current theory.
  2521 
  2522 (2) unused_thms thy_1 ... thy_n -
  2523      Finds unused theorems in the current theory and all of its ancestors,
  2524      excluding the theories thy_1 ... thy_n and all of their ancestors.
  2525 
  2526 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  2527      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  2528      their ancestors, excluding the theories thy_1 ... thy_n and all of
  2529      their ancestors.
  2530 
  2531 In order to increase the readability of the list produced by
  2532 unused_thms, theorems that have been created by a particular instance
  2533 of a theory command such as 'inductive' or 'function' are considered
  2534 to belong to the same "group", meaning that if at least one theorem in
  2535 this group is used, the other theorems in the same group are no longer
  2536 reported as unused.  Moreover, if all theorems in the group are
  2537 unused, only one theorem in the group is displayed.
  2538 
  2539 Note that proof objects have to be switched on in order for
  2540 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  2541 usually the case when using Proof General with the default settings).
  2542 
  2543 * Authentic naming of facts disallows ad-hoc overwriting of previous
  2544 theorems within the same name space.  INCOMPATIBILITY, need to remove
  2545 duplicate fact bindings, or even accidental fact duplications.  Note
  2546 that tools may maintain dynamically scoped facts systematically, using
  2547 PureThy.add_thms_dynamic.
  2548 
  2549 * Command 'hide' now allows to hide from "fact" name space as well.
  2550 
  2551 * Eliminated destructive theorem database, simpset, claset, and
  2552 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  2553 update of theories within ML code.
  2554 
  2555 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  2556 INCOMPATIBILITY, object-logics depending on former Pure require
  2557 additional setup PureThy.old_appl_syntax_setup; object-logics
  2558 depending on former CPure need to refer to Pure.
  2559 
  2560 * Commands 'use' and 'ML' are now purely functional, operating on
  2561 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  2562 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  2563 INCOMPATIBILITY.
  2564 
  2565 * Command 'setup': discontinued implicit version with ML reference.
  2566 
  2567 * Instantiation target allows for simultaneous specification of class
  2568 instance operations together with an instantiation proof.
  2569 Type-checking phase allows to refer to class operations uniformly.
  2570 See src/HOL/Complex/Complex.thy for an Isar example and
  2571 src/HOL/Library/Eval.thy for an ML example.
  2572 
  2573 * Indexing of literal facts: be more serious about including only
  2574 facts from the visible specification/proof context, but not the
  2575 background context (locale etc.).  Affects `prop` notation and method
  2576 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  2577 situations.
  2578 
  2579 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  2580 "(open)" option, which used to expose internal bound variables to the
  2581 proof text.
  2582 
  2583 * Isar statements: removed obsolete case "rule_context".
  2584 INCOMPATIBILITY, better use explicit fixes/assumes.
  2585 
  2586 * Locale proofs: default proof step now includes 'unfold_locales';
  2587 hence 'proof' without argument may be used to unfold locale
  2588 predicates.
  2589 
  2590 
  2591 *** Document preparation ***
  2592 
  2593 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  2594 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  2595 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  2596 spot); renamed link color from "darkblue" to "linkcolor" (default
  2597 value unchanged, can be redefined via \definecolor); no longer sets
  2598 "a4paper" option (unnecessary or even intrusive).
  2599 
  2600 * Antiquotation @{lemma A method} proves proposition A by the given
  2601 method (either a method name or a method name plus (optional) method
  2602 arguments in parentheses) and prints A just like @{prop A}.
  2603 
  2604 
  2605 *** HOL ***
  2606 
  2607 * New primrec package.  Specification syntax conforms in style to
  2608 definition/function/....  No separate induction rule is provided.  The
  2609 "primrec" command distinguishes old-style and new-style specifications
  2610 by syntax.  The former primrec package is now named OldPrimrecPackage.
  2611 When adjusting theories, beware: constants stemming from new-style
  2612 primrec specifications have authentic syntax.
  2613 
  2614 * Metis prover is now an order of magnitude faster, and also works
  2615 with multithreading.
  2616 
  2617 * Metis: the maximum number of clauses that can be produced from a
  2618 theorem is now given by the attribute max_clauses.  Theorems that
  2619 exceed this number are ignored, with a warning printed.
  2620 
  2621 * Sledgehammer no longer produces structured proofs by default. To
  2622 enable, declare [[sledgehammer_full = true]].  Attributes
  2623 reconstruction_modulus, reconstruction_sorts renamed
  2624 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  2625 
  2626 * Method "induct_scheme" derives user-specified induction rules
  2627 from well-founded induction and completeness of patterns. This factors
  2628 out some operations that are done internally by the function package
  2629 and makes them available separately.  See
  2630 src/HOL/ex/Induction_Scheme.thy for examples.
  2631 
  2632 * More flexible generation of measure functions for termination
  2633 proofs: Measure functions can be declared by proving a rule of the
  2634 form "is_measure f" and giving it the [measure_function] attribute.
  2635 The "is_measure" predicate is logically meaningless (always true), and
  2636 just guides the heuristic.  To find suitable measure functions, the
  2637 termination prover sets up the goal "is_measure ?f" of the appropriate
  2638 type and generates all solutions by prolog-style backwards proof using
  2639 the declared rules.
  2640 
  2641 This setup also deals with rules like 
  2642 
  2643   "is_measure f ==> is_measure (list_size f)"
  2644 
  2645 which accommodates nested datatypes that recurse through lists.
  2646 Similar rules are predeclared for products and option types.
  2647 
  2648 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  2649 
  2650   INCOMPATIBILITIES:
  2651 
  2652   - Definitions of overloaded constants on sets have to be replaced by
  2653     definitions on => and bool.
  2654 
  2655   - Some definitions of overloaded operators on sets can now be proved
  2656     using the definitions of the operators on => and bool.  Therefore,
  2657     the following theorems have been renamed:
  2658 
  2659       subset_def   -> subset_eq
  2660       psubset_def  -> psubset_eq
  2661       set_diff_def -> set_diff_eq
  2662       Compl_def    -> Compl_eq
  2663       Sup_set_def  -> Sup_set_eq
  2664       Inf_set_def  -> Inf_set_eq
  2665       sup_set_def  -> sup_set_eq
  2666       inf_set_def  -> inf_set_eq
  2667 
  2668   - Due to the incompleteness of the HO unification algorithm, some
  2669     rules such as subst may require manual instantiation, if some of
  2670     the unknowns in the rule is a set.
  2671 
  2672   - Higher order unification and forward proofs:
  2673     The proof pattern
  2674 
  2675       have "P (S::'a set)" <...>
  2676       then have "EX S. P S" ..
  2677 
  2678     no longer works (due to the incompleteness of the HO unification
  2679     algorithm) and must be replaced by the pattern
  2680 
  2681       have "EX S. P S"
  2682       proof
  2683         show "P S" <...>
  2684       qed
  2685 
  2686   - Calculational reasoning with subst (or similar rules):
  2687     The proof pattern
  2688 
  2689       have "P (S::'a set)" <...>
  2690       also have "S = T" <...>
  2691       finally have "P T" .
  2692 
  2693     no longer works (for similar reasons as the previous example) and
  2694     must be replaced by something like
  2695 
  2696       have "P (S::'a set)" <...>
  2697       moreover have "S = T" <...>
  2698       ultimately have "P T" by simp
  2699 
  2700   - Tactics or packages written in ML code:
  2701     Code performing pattern matching on types via
  2702 
  2703       Type ("set", [T]) => ...
  2704 
  2705     must be rewritten. Moreover, functions like strip_type or
  2706     binder_types no longer return the right value when applied to a
  2707     type of the form
  2708 
  2709       T1 => ... => Tn => U => bool
  2710 
  2711     rather than
  2712 
  2713       T1 => ... => Tn => U set
  2714 
  2715 * Merged theories Wellfounded_Recursion, Accessible_Part and
  2716 Wellfounded_Relations to theory Wellfounded.
  2717 
  2718 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  2719 
  2720 * Class finite no longer treats UNIV as class parameter.  Use class
  2721 enum from theory Library/Enum instead to achieve a similar effect.
  2722 INCOMPATIBILITY.
  2723 
  2724 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  2725 and "Cons".  INCOMPATIBILITY.
  2726 
  2727 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  2728 Potential INCOMPATIBILITY.
  2729 
  2730 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  2731 injective_fst_snd removed, use split_eta and prod_eqI instead.
  2732 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  2733 
  2734 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  2735 the same name in theory Orderings:
  2736 
  2737   less_trans
  2738   less_linear
  2739   le_imp_less_or_eq
  2740   le_less_trans
  2741   less_le_trans
  2742   less_not_sym
  2743   less_asym
  2744 
  2745 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  2746 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  2747 and different variable names.
  2748 
  2749 * Library/Option_ord.thy: Canonical order on option type.
  2750 
  2751 * Library/RBT.thy: Red-black trees, an efficient implementation of
  2752 finite maps.
  2753 
  2754 * Library/Countable.thy: Type class for countable types.
  2755 
  2756 * Theory Int: The representation of numerals has changed.  The infix
  2757 operator BIT and the bit datatype with constructors B0 and B1 have
  2758 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  2759 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  2760 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  2761 accordingly.
  2762 
  2763 * Theory Nat: definition of <= and < on natural numbers no longer
  2764 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  2765 le_def and less_def have disappeared.  Consider lemmas not_less
  2766 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  2767 
  2768 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  2769 (whose purpose mainly is for various fold_set functionals) have been
  2770 abandoned in favor of the existing algebraic classes
  2771 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  2772 lower_semilattice (resp. upper_semilattice) and linorder.
  2773 INCOMPATIBILITY.
  2774 
  2775 * Theory Transitive_Closure: induct and cases rules now declare proper
  2776 case_names ("base" and "step").  INCOMPATIBILITY.
  2777 
  2778 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  2779 lattices.  The form set-specific version is available as
  2780 Inductive.lfp_ordinal_induct_set.
  2781 
  2782 * Renamed theorems "power.simps" to "power_int.simps".
  2783 INCOMPATIBILITY.
  2784 
  2785 * Class semiring_div provides basic abstract properties of semirings
  2786 with division and modulo operations.  Subsumes former class dvd_mod.
  2787 
  2788 * Merged theories IntDef, Numeral and IntArith into unified theory
  2789 Int.  INCOMPATIBILITY.
  2790 
  2791 * Theory Library/Code_Index: type "index" now represents natural
  2792 numbers rather than integers.  INCOMPATIBILITY.
  2793 
  2794 * New class "uminus" with operation "uminus" (split of from class
  2795 "minus" which now only has operation "minus", binary).
  2796 INCOMPATIBILITY.
  2797 
  2798 * Constants "card", "internal_split", "option_map" now with authentic
  2799 syntax.  INCOMPATIBILITY.
  2800 
  2801 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  2802 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  2803 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  2804 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  2805 Sup_set_def, le_def, less_def, option_map_def now with object
  2806 equality.  INCOMPATIBILITY.
  2807 
  2808 * Records. Removed K_record, and replaced it by pure lambda term
  2809 %x. c. The simplifier setup is now more robust against eta expansion.
  2810 INCOMPATIBILITY: in cases explicitly referring to K_record.
  2811 
  2812 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  2813 
  2814 * Library/ListVector: new theory of arithmetic vector operations.
  2815 
  2816 * Library/Order_Relation: new theory of various orderings as sets of
  2817 pairs.  Defines preorders, partial orders, linear orders and
  2818 well-orders on sets and on types.
  2819 
  2820 
  2821 *** ZF ***
  2822 
  2823 * Renamed some theories to allow to loading both ZF and HOL in the
  2824 same session:
  2825 
  2826   Datatype  -> Datatype_ZF
  2827   Inductive -> Inductive_ZF
  2828   Int       -> Int_ZF
  2829   IntDiv    -> IntDiv_ZF
  2830   Nat       -> Nat_ZF
  2831   List      -> List_ZF
  2832   Main      -> Main_ZF
  2833 
  2834 INCOMPATIBILITY: ZF theories that import individual theories below
  2835 Main might need to be adapted.  Regular theory Main is still
  2836 available, as trivial extension of Main_ZF.
  2837 
  2838 
  2839 *** ML ***
  2840 
  2841 * ML within Isar: antiquotation @{const name} or @{const
  2842 name(typargs)} produces statically-checked Const term.
  2843 
  2844 * Functor NamedThmsFun: data is available to the user as dynamic fact
  2845 (of the same name).  Removed obsolete print command.
  2846 
  2847 * Removed obsolete "use_legacy_bindings" function.
  2848 
  2849 * The ``print mode'' is now a thread-local value derived from a global
  2850 template (the former print_mode reference), thus access becomes
  2851 non-critical.  The global print_mode reference is for session
  2852 management only; user-code should use print_mode_value,
  2853 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  2854 
  2855 * Functions system/system_out provide a robust way to invoke external
  2856 shell commands, with propagation of interrupts (requires Poly/ML
  2857 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  2858 
  2859 
  2860 *** System ***
  2861 
  2862 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  2863 in accordance with Proof General 3.7, which prefers GNU emacs.
  2864 
  2865 * isatool tty runs Isabelle process with plain tty interaction;
  2866 optional line editor may be specified via ISABELLE_LINE_EDITOR
  2867 setting, the default settings attempt to locate "ledit" and "rlwrap".
  2868 
  2869 * isatool browser now works with Cygwin as well, using general
  2870 "javapath" function defined in Isabelle process environment.
  2871 
  2872 * YXML notation provides a simple and efficient alternative to
  2873 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  2874 isatool yxml as described in the Isabelle system manual.
  2875 
  2876 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  2877 provides general wrapper for managing an Isabelle process in a robust
  2878 fashion, with ``cooked'' output from stdin/stderr.
  2879 
  2880 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  2881 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  2882 
  2883 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  2884 way of changing the user's settings is via
  2885 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  2886 script.
  2887 
  2888 * Multithreading.max_threads := 0 refers to the number of actual CPU
  2889 cores of the underlying machine, which is a good starting point for
  2890 optimal performance tuning.  The corresponding usedir option -M allows
  2891 "max" as an alias for "0".  WARNING: does not work on certain versions
  2892 of Mac OS (with Poly/ML 5.1).
  2893 
  2894 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  2895 adverse effect of Isabelle flooding interactive front-ends (notably
  2896 ProofGeneral / XEmacs).
  2897 
  2898 
  2899 
  2900 New in Isabelle2007 (November 2007)
  2901 -----------------------------------
  2902 
  2903 *** General ***
  2904 
  2905 * More uniform information about legacy features, notably a
  2906 warning/error of "Legacy feature: ...", depending on the state of the
  2907 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  2908 legacy features will disappear eventually.
  2909 
  2910 * Theory syntax: the header format ``theory A = B + C:'' has been
  2911 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  2912 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  2913 
  2914 * Theory syntax: the old non-Isar theory file format has been
  2915 discontinued altogether.  Note that ML proof scripts may still be used
  2916 with Isar theories; migration is usually quite simple with the ML
  2917 function use_legacy_bindings.  INCOMPATIBILITY.
  2918 
  2919 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  2920 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  2921 quotes.
  2922 
  2923 * Theory loader: be more serious about observing the static theory
  2924 header specifications (including optional directories), but not the
  2925 accidental file locations of previously successful loads.  The strict
  2926 update policy of former update_thy is now already performed by
  2927 use_thy, so the former has been removed; use_thys updates several
  2928 theories simultaneously, just as 'imports' within a theory header
  2929 specification, but without merging the results.  Potential
  2930 INCOMPATIBILITY: may need to refine theory headers and commands
  2931 ROOT.ML which depend on load order.
  2932 
  2933 * Theory loader: optional support for content-based file
  2934 identification, instead of the traditional scheme of full physical
  2935 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  2936 (cf. the system manual).  The new scheme allows to work with
  2937 non-finished theories in persistent session images, such that source
  2938 files may be moved later on without requiring reloads.
  2939 
  2940 * Theory loader: old-style ML proof scripts being *attached* to a thy
  2941 file (with the same base name as the theory) are considered a legacy
  2942 feature, which will disappear eventually. Even now, the theory loader
  2943 no longer maintains dependencies on such files.
  2944 
  2945 * Syntax: the scope for resolving ambiguities via type-inference is
  2946 now limited to individual terms, instead of whole simultaneous
  2947 specifications as before. This greatly reduces the complexity of the
  2948 syntax module and improves flexibility by separating parsing and
  2949 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  2950 'fixes' etc.) are required in rare situations.
  2951 
  2952 * Syntax: constants introduced by new-style packages ('definition',
  2953 'abbreviation' etc.) are passed through the syntax module in
  2954 ``authentic mode''. This means that associated mixfix annotations
  2955 really stick to such constants, independently of potential name space
  2956 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2957 trees are represented slightly differently, may need to adapt syntax
  2958 translations accordingly. Use CONST marker in 'translations' and
  2959 @{const_syntax} antiquotation in 'parse_translation' etc.
  2960 
  2961 * Legacy goal package: reduced interface to the bare minimum required
  2962 to keep existing proof scripts running.  Most other user-level
  2963 functions are now part of the OldGoals structure, which is *not* open
  2964 by default (consider isatool expandshort before open OldGoals).
  2965 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2966 these tend to cause confusion about the actual goal (!) context being
  2967 used here, which is not necessarily the same as the_context().
  2968 
  2969 * Command 'find_theorems': supports "*" wild-card in "name:"
  2970 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2971 support a specific search form (see ProofGeneral/CHANGES).
  2972 
  2973 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2974 by default, which means that "prems" (and also "fixed variables") are
  2975 suppressed from proof state output.  Note that the ProofGeneral
  2976 settings mechanism allows to change and save options persistently, but
  2977 older versions of Isabelle will fail to start up if a negative prems
  2978 limit is imposed.
  2979 
  2980 * Local theory targets may be specified by non-nested blocks of
  2981 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2982 contain definitions, theorems etc., including any derived mechanism
  2983 that has been implemented on top of these primitives.  This concept
  2984 generalizes the existing ``theorem (in ...)'' towards more versatility
  2985 and scalability.
  2986 
  2987 * Proof General interface: proper undo of final 'end' command;
  2988 discontinued Isabelle/classic mode (ML proof scripts).
  2989 
  2990 
  2991 *** Document preparation ***
  2992 
  2993 * Added antiquotation @{theory name} which prints the given name,
  2994 after checking that it refers to a valid ancestor theory in the
  2995 current context.
  2996 
  2997 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2998 check the given source text as ML type/structure, printing verbatim.
  2999 
  3000 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  3001 "c args == rhs" given in the current context.  (Any number of
  3002 arguments may be given on the LHS.)
  3003 
  3004 
  3005 *** Pure ***
  3006 
  3007 * The 'class' package offers a combination of axclass and locale to
  3008 achieve Haskell-like type classes in Isabelle.  Definitions and
  3009 theorems within a class context produce both relative results (with
  3010 implicit parameters according to the locale context), and polymorphic
  3011 constants with qualified polymorphism (according to the class
  3012 context).  Within the body context of a 'class' target, a separate
  3013 syntax layer ("user space type system") takes care of converting
  3014 between global polymorphic consts and internal locale representation.
  3015 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  3016 "isatool doc classes" provides a tutorial.
  3017 
  3018 * Generic code generator framework allows to generate executable
  3019 code for ML and Haskell (including Isabelle classes).  A short usage
  3020 sketch:
  3021 
  3022     internal compilation:
  3023         export_code <list of constants (term syntax)> in SML
  3024     writing SML code to a file:
  3025         export_code <list of constants (term syntax)> in SML <filename>
  3026     writing OCaml code to a file:
  3027         export_code <list of constants (term syntax)> in OCaml <filename>
  3028     writing Haskell code to a bunch of files:
  3029         export_code <list of constants (term syntax)> in Haskell <filename>
  3030 
  3031     evaluating closed propositions to True/False using code generation:
  3032         method ``eval''
  3033 
  3034 Reasonable default setup of framework in HOL.
  3035 
  3036 Theorem attributs for selecting and transforming function equations theorems:
  3037 
  3038     [code fun]:        select a theorem as function equation for a specific constant
  3039     [code fun del]:    deselect a theorem as function equation for a specific constant
  3040     [code inline]:     select an equation theorem for unfolding (inlining) in place
  3041     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  3042 
  3043 User-defined serializations (target in {SML, OCaml, Haskell}):
  3044 
  3045     code_const <and-list of constants (term syntax)>
  3046       {(target) <and-list of const target syntax>}+
  3047 
  3048     code_type <and-list of type constructors>
  3049       {(target) <and-list of type target syntax>}+
  3050 
  3051     code_instance <and-list of instances>
  3052       {(target)}+
  3053         where instance ::= <type constructor> :: <class>
  3054 
  3055     code_class <and_list of classes>
  3056       {(target) <and-list of class target syntax>}+
  3057         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  3058 
  3059 code_instance and code_class only are effective to target Haskell.
  3060 
  3061 For example usage see src/HOL/ex/Codegenerator.thy and
  3062 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  3063 generation from Isabelle/HOL theories is available via "isatool doc
  3064 codegen".
  3065 
  3066 * Code generator: consts in 'consts_code' Isar commands are now
  3067 referred to by usual term syntax (including optional type
  3068 annotations).
  3069 
  3070 * Command 'no_translations' removes translation rules from theory
  3071 syntax.
  3072 
  3073 * Overloaded definitions are now actually checked for acyclic
  3074 dependencies.  The overloading scheme is slightly more general than
  3075 that of Haskell98, although Isabelle does not demand an exact
  3076 correspondence to type class and instance declarations.
  3077 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  3078 exotic versions of overloading -- at the discretion of the user!
  3079 
  3080 Polymorphic constants are represented via type arguments, i.e. the
  3081 instantiation that matches an instance against the most general
  3082 declaration given in the signature.  For example, with the declaration
  3083 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  3084 as c(nat).  Overloading is essentially simultaneous structural
  3085 recursion over such type arguments.  Incomplete specification patterns
  3086 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  3087 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  3088 Command 'print_theory' outputs the normalized system of recursive
  3089 equations, see section "definitions".
  3090 
  3091 * Configuration options are maintained within the theory or proof
  3092 context (with name and type bool/int/string), providing a very simple
  3093 interface to a poor-man's version of general context data.  Tools may
  3094 declare options in ML (e.g. using Attrib.config_int) and then refer to
  3095 these values using Config.get etc.  Users may change options via an
  3096 associated attribute of the same name.  This form of context
  3097 declaration works particularly well with commands 'declare' or
  3098 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  3099 very easy to avoid global references, which would not observe Isar
  3100 toplevel undo/redo and fail to work with multithreading.
  3101 
  3102 Various global ML references of Pure and HOL have been turned into
  3103 configuration options:
  3104 
  3105   Unify.search_bound		unify_search_bound
  3106   Unify.trace_bound		unify_trace_bound
  3107   Unify.trace_simp		unify_trace_simp
  3108   Unify.trace_types		unify_trace_types
  3109   Simplifier.simp_depth_limit	simp_depth_limit
  3110   Blast.depth_limit		blast_depth_limit
  3111   DatatypeProp.dtK		datatype_distinctness_limit
  3112   fast_arith_neq_limit  	fast_arith_neq_limit
  3113   fast_arith_split_limit	fast_arith_split_limit
  3114 
  3115 * Named collections of theorems may be easily installed as context
  3116 data using the functor NamedThmsFun (see also
  3117 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  3118 attributes; there is also a toplevel print command.  This facility is
  3119 just a common case of general context data, which is the preferred way
  3120 for anything more complex than just a list of facts in canonical
  3121 order.
  3122 
  3123 * Isar: command 'declaration' augments a local theory by generic
  3124 declaration functions written in ML.  This enables arbitrary content
  3125 being added to the context, depending on a morphism that tells the
  3126 difference of the original declaration context wrt. the application
  3127 context encountered later on.
  3128 
  3129 * Isar: proper interfaces for simplification procedures.  Command
  3130 'simproc_setup' declares named simprocs (with match patterns, and body
  3131 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  3132 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  3133 
  3134 * Isar: an extra pair of brackets around attribute declarations
  3135 abbreviates a theorem reference involving an internal dummy fact,
  3136 which will be ignored later --- only the effect of the attribute on
  3137 the background context will persist.  This form of in-place
  3138 declarations is particularly useful with commands like 'declare' and
  3139 'using', for example ``have A using [[simproc a]] by simp''.
  3140 
  3141 * Isar: method "assumption" (and implicit closing of subproofs) now
  3142 takes simple non-atomic goal assumptions into account: after applying
  3143 an assumption as a rule the resulting subgoals are solved by atomic
  3144 assumption steps.  This is particularly useful to finish 'obtain'
  3145 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  3146 without referring to the original premise "!!x. P x ==> thesis" in the
  3147 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  3148 more permissive.
  3149 
  3150 * Isar: implicit use of prems from the Isar proof context is
  3151 considered a legacy feature.  Common applications like ``have A .''
  3152 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  3153 referencing facts explicitly here improves readability and
  3154 maintainability of proof texts.
  3155 
  3156 * Isar: improper proof element 'guess' is like 'obtain', but derives
  3157 the obtained context from the course of reasoning!  For example:
  3158 
  3159   assume "EX x y. A x & B y"   -- "any previous fact"
  3160   then guess x and y by clarify
  3161 
  3162 This technique is potentially adventurous, depending on the facts and
  3163 proof tools being involved here.
  3164 
  3165 * Isar: known facts from the proof context may be specified as literal
  3166 propositions, using ASCII back-quote syntax.  This works wherever
  3167 named facts used to be allowed so far, in proof commands, proof
  3168 methods, attributes etc.  Literal facts are retrieved from the context
  3169 according to unification of type and term parameters.  For example,
  3170 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  3171 theorems in the current context, then these are valid literal facts:
  3172 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  3173 
  3174 There is also a proof method "fact" which does the same composition
  3175 for explicit goal states, e.g. the following proof texts coincide with
  3176 certain special cases of literal facts:
  3177 
  3178   have "A" by fact                 ==  note `A`
  3179   have "A ==> B" by fact           ==  note `A ==> B`
  3180   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  3181   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  3182 
  3183 * Isar: ":" (colon) is no longer a symbolic identifier character in
  3184 outer syntax.  Thus symbolic identifiers may be used without
  3185 additional white space in declarations like this: ``assume *: A''.
  3186 
  3187 * Isar: 'print_facts' prints all local facts of the current context,
  3188 both named and unnamed ones.
  3189 
  3190 * Isar: 'def' now admits simultaneous definitions, e.g.:
  3191 
  3192   def x == "t" and y == "u"
  3193 
  3194 * Isar: added command 'unfolding', which is structurally similar to
  3195 'using', but affects both the goal state and facts by unfolding given
  3196 rewrite rules.  Thus many occurrences of the 'unfold' method or
  3197 'unfolded' attribute may be replaced by first-class proof text.
  3198 
  3199 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  3200 and command 'unfolding' now all support object-level equalities
  3201 (potentially conditional).  The underlying notion of rewrite rule is
  3202 analogous to the 'rule_format' attribute, but *not* that of the
  3203 Simplifier (which is usually more generous).
  3204 
  3205 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  3206 premises of a theorem by n. Useful in conjunction with drule.
  3207 
  3208 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  3209 method expression within a sandbox consisting of the first N
  3210 sub-goals, which need to exist.  For example, ``simp_all [3]''
  3211 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  3212 simplifies all new goals that emerge from applying rule foo to the
  3213 originally first one.
  3214 
  3215 * Isar: schematic goals are no longer restricted to higher-order
  3216 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  3217 expected.
  3218 
  3219 * Isar: the conclusion of a long theorem statement is now either
  3220 'shows' (a simultaneous conjunction, as before), or 'obtains'
  3221 (essentially a disjunction of cases with local parameters and
  3222 assumptions).  The latter allows to express general elimination rules
  3223 adequately; in this notation common elimination rules look like this:
  3224 
  3225   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  3226     assumes "EX x. P x"
  3227     obtains x where "P x"
  3228 
  3229   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  3230     assumes "A & B"
  3231     obtains A and B
  3232 
  3233   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  3234     assumes "A | B"
  3235     obtains
  3236       A
  3237     | B
  3238 
  3239 The subsequent classical rules even refer to the formal "thesis"
  3240 explicitly:
  3241 
  3242   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  3243     obtains "~ thesis"
  3244 
  3245   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  3246     obtains "thesis ==> something"
  3247 
  3248 The actual proof of an 'obtains' statement is analogous to that of the
  3249 Isar proof element 'obtain', only that there may be several cases.
  3250 Optional case names may be specified in parentheses; these will be
  3251 available both in the present proof and as annotations in the
  3252 resulting rule, for later use with the 'cases' method (cf. attribute
  3253 case_names).
  3254 
  3255 * Isar: the assumptions of a long theorem statement are available as
  3256 "assms" fact in the proof context.  This is more appropriate than the
  3257 (historical) "prems", which refers to all assumptions of the current
  3258 context, including those from the target locale, proof body etc.
  3259 
  3260 * Isar: 'print_statement' prints theorems from the current theory or
  3261 proof context in long statement form, according to the syntax of a
  3262 top-level lemma.
  3263 
  3264 * Isar: 'obtain' takes an optional case name for the local context
  3265 introduction rule (default "that").
  3266 
  3267 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  3268 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  3269 to occur.
  3270 
  3271 * Pure: syntax "CONST name" produces a fully internalized constant
  3272 according to the current context.  This is particularly useful for
  3273 syntax translations that should refer to internal constant
  3274 representations independently of name spaces.
  3275 
  3276 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  3277 instead of "FOO ". This allows multiple binder declarations to coexist
  3278 in the same context.  INCOMPATIBILITY.
  3279 
  3280 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  3281 primitive that also works in a locale context (both for constants and
  3282 fixed variables). Type declaration and internal syntactic representation
  3283 of given constants retrieved from the context. Likewise, the
  3284 'no_notation' command allows to remove given syntax annotations from the
  3285 current context.
  3286 
  3287 * Isar/locales: new derived specification elements 'axiomatization',
  3288 'definition', 'abbreviation', which support type-inference, admit
  3289 object-level specifications (equality, equivalence).  See also the
  3290 isar-ref manual.  Examples:
  3291 
  3292   axiomatization
  3293     eq  (infix "===" 50) where
  3294     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  3295 
  3296   definition "f x y = x + y + 1"
  3297   definition g where "g x = f x x"
  3298 
  3299   abbreviation
  3300     neq  (infix "=!=" 50) where
  3301     "x =!= y == ~ (x === y)"
  3302 
  3303 These specifications may be also used in a locale context.  Then the
  3304 constants being introduced depend on certain fixed parameters, and the
  3305 constant name is qualified by the locale base name.  An internal
  3306 abbreviation takes care for convenient input and output, making the
  3307 parameters implicit and using the original short name.  See also
  3308 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  3309 entities from a monomorphic theory.
  3310 
  3311 Presently, abbreviations are only available 'in' a target locale, but
  3312 not inherited by general import expressions.  Also note that
  3313 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  3314 'translations' in common applications.  The "no_abbrevs" print mode
  3315 prevents folding of abbreviations in term output.
  3316 
  3317 Concrete syntax is attached to specified constants in internal form,
  3318 independently of name spaces.  The parse tree representation is
  3319 slightly different -- use 'notation' instead of raw 'syntax', and
  3320 'translations' with explicit "CONST" markup to accommodate this.
  3321 
  3322 * Pure/Isar: unified syntax for new-style specification mechanisms
  3323 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  3324 full type inference and dummy patterns ("_").  For example:
  3325 
  3326   definition "K x _ = x"
  3327 
  3328   inductive conj for A B
  3329   where "A ==> B ==> conj A B"
  3330 
  3331 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  3332 the current context.  Print mode "no_abbrevs" prevents inversion of
  3333 abbreviations on output.
  3334 
  3335 * Isar/locales: improved parameter handling: use of locales "var" and
  3336 "struct" no longer necessary; - parameter renamings are no longer
  3337 required to be injective.  For example, this allows to define
  3338 endomorphisms as locale endom = homom mult mult h.
  3339 
  3340 * Isar/locales: changed the way locales with predicates are defined.
  3341 Instead of accumulating the specification, the imported expression is
  3342 now an interpretation.  INCOMPATIBILITY: different normal form of
  3343 locale expressions.  In particular, in interpretations of locales with
  3344 predicates, goals repesenting already interpreted fragments are not
  3345 removed automatically.  Use methods `intro_locales' and
  3346 `unfold_locales'; see below.
  3347 
  3348 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  3349 provide backward reasoning on locales predicates.  The methods are
  3350 aware of interpretations and discharge corresponding goals.
  3351 `intro_locales' is less aggressive then `unfold_locales' and does not
  3352 unfold predicates to assumptions.
  3353 
  3354 * Isar/locales: the order in which locale fragments are accumulated
  3355 has changed.  This enables to override declarations from fragments due
  3356 to interpretations -- for example, unwanted simp rules.
  3357 
  3358 * Isar/locales: interpretation in theories and proof contexts has been
  3359 extended.  One may now specify (and prove) equations, which are
  3360 unfolded in interpreted theorems.  This is useful for replacing
  3361 defined concepts (constants depending on locale parameters) by
  3362 concepts already existing in the target context.  Example:
  3363 
  3364   interpretation partial_order ["op <= :: [int, int] => bool"]
  3365     where "partial_order.less (op <=) (x::int) y = (x < y)"
  3366 
  3367 Typically, the constant `partial_order.less' is created by a
  3368 definition specification element in the context of locale
  3369 partial_order.
  3370 
  3371 * Method "induct": improved internal context management to support
  3372 local fixes and defines on-the-fly. Thus explicit meta-level
  3373 connectives !!  and ==> are rarely required anymore in inductive goals
  3374 (using object-logic connectives for this purpose has been long
  3375 obsolete anyway). Common proof patterns are explained in
  3376 src/HOL/Induct/Common_Patterns.thy, see also
  3377 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  3378 examples.
  3379 
  3380 * Method "induct": improved handling of simultaneous goals. Instead of
  3381 introducing object-level conjunction, the statement is now split into
  3382 several conclusions, while the corresponding symbolic cases are nested
  3383 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  3384 see src/HOL/Induct/Common_Patterns.thy, for example.
  3385 
  3386 * Method "induct": mutual induction rules are now specified as a list
  3387 of rule sharing the same induction cases. HOL packages usually provide
  3388 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  3389 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  3390 mutual induction rules differently, i.e. like this:
  3391 
  3392   (induct rule: foo_bar.inducts)
  3393   (induct set: foo bar)
  3394   (induct pred: foo bar)
  3395   (induct type: foo bar)
  3396 
  3397 The ML function ProjectRule.projections turns old-style rules into the
  3398 new format.
  3399 
  3400 * Method "coinduct": dual of induction, see
  3401 src/HOL/Library/Coinductive_List.thy for various examples.
  3402 
  3403 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  3404 considered a legacy feature.
  3405 
  3406 * Attribute "symmetric" produces result with standardized schematic
  3407 variables (index 0).  Potential INCOMPATIBILITY.
  3408 
  3409 * Simplifier: by default the simplifier trace only shows top level
  3410 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  3411 default. Thus there is less danger of being flooded by the trace. The
  3412 trace indicates where parts have been suppressed.
  3413   
  3414 * Provers/classical: removed obsolete classical version of elim_format
  3415 attribute; classical elim/dest rules are now treated uniformly when
  3416 manipulating the claset.
  3417 
  3418 * Provers/classical: stricter checks to ensure that supplied intro,
  3419 dest and elim rules are well-formed; dest and elim rules must have at
  3420 least one premise.
  3421 
  3422 * Provers/classical: attributes dest/elim/intro take an optional
  3423 weight argument for the rule (just as the Pure versions).  Weights are
  3424 ignored by automated tools, but determine the search order of single
  3425 rule steps.
  3426 
  3427 * Syntax: input syntax now supports dummy variable binding "%_. b",
  3428 where the body does not mention the bound variable.  Note that dummy
  3429 patterns implicitly depend on their context of bounds, which makes
  3430 "{_. _}" match any set comprehension as expected.  Potential
  3431 INCOMPATIBILITY -- parse translations need to cope with syntactic
  3432 constant "_idtdummy" in the binding position.
  3433 
  3434 * Syntax: removed obsolete syntactic constant "_K" and its associated
  3435 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  3436 for example "A -> B" => "Pi A (%_. B)".
  3437 
  3438 * Pure: 'class_deps' command visualizes the subclass relation, using
  3439 the graph browser tool.
  3440 
  3441 * Pure: 'print_theory' now suppresses certain internal declarations by
  3442 default; use '!' option for full details.
  3443 
  3444 
  3445 *** HOL ***
  3446 
  3447 * Method "metis" proves goals by applying the Metis general-purpose
  3448 resolution prover (see also http://gilith.com/software/metis/).
  3449 Examples are in the directory MetisExamples.  WARNING: the
  3450 Isabelle/HOL-Metis integration does not yet work properly with
  3451 multi-threading.
  3452   
  3453 * Command 'sledgehammer' invokes external automatic theorem provers as
  3454 background processes.  It generates calls to the "metis" method if
  3455 successful. These can be pasted into the proof.  Users do not have to
  3456 wait for the automatic provers to return.  WARNING: does not really
  3457 work with multi-threading.
  3458 
  3459 * New "auto_quickcheck" feature tests outermost goal statements for
  3460 potential counter-examples.  Controlled by ML references
  3461 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  3462 5000 milliseconds).  Fails silently if statements is outside of
  3463 executable fragment, or any other codgenerator problem occurs.
  3464 
  3465 * New constant "undefined" with axiom "undefined x = undefined".
  3466 
  3467 * Added class "HOL.eq", allowing for code generation with polymorphic
  3468 equality.
  3469 
  3470 * Some renaming of class constants due to canonical name prefixing in
  3471 the new 'class' package:
  3472 
  3473     HOL.abs ~> HOL.abs_class.abs
  3474     HOL.divide ~> HOL.divide_class.divide
  3475     0 ~> HOL.zero_class.zero
  3476     1 ~> HOL.one_class.one
  3477     op + ~> HOL.plus_class.plus
  3478     op - ~> HOL.minus_class.minus
  3479     uminus ~> HOL.minus_class.uminus
  3480     op * ~> HOL.times_class.times
  3481     op < ~> HOL.ord_class.less
  3482     op <= > HOL.ord_class.less_eq
  3483     Nat.power ~> Power.power_class.power
  3484     Nat.size ~> Nat.size_class.size
  3485     Numeral.number_of ~> Numeral.number_class.number_of
  3486     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  3487     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  3488     Orderings.min ~> Orderings.ord_class.min
  3489     Orderings.max ~> Orderings.ord_class.max
  3490     Divides.op div ~> Divides.div_class.div
  3491     Divides.op mod ~> Divides.div_class.mod
  3492     Divides.op dvd ~> Divides.div_class.dvd
  3493 
  3494 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  3495 
  3496 a) User-defined constants using any of the names "plus", "minus",
  3497 "times", "less" or "less_eq". The standard syntax translations for
  3498 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  3499 names.
  3500 
  3501 b) Variables named "plus", "minus", "times", "less", "less_eq"
  3502 INCOMPATIBILITY: use more specific names.
  3503 
  3504 c) Permutative equations (e.g. "a + b = b + a")
  3505 Since the change of names also changes the order of terms, permutative
  3506 rewrite rules may get applied in a different order. Experience shows
  3507 that this is rarely the case (only two adaptions in the whole Isabelle
  3508 distribution).  INCOMPATIBILITY: rewrite proofs
  3509 
  3510 d) ML code directly refering to constant names
  3511 This in general only affects hand-written proof tactics, simprocs and
  3512 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  3513 Consider using @{const_name} antiquotation.
  3514 
  3515 * New class "default" with associated constant "default".
  3516 
  3517 * Function "sgn" is now overloaded and available on int, real, complex
  3518 (and other numeric types), using class "sgn".  Two possible defs of
  3519 sgn are given as equational assumptions in the classes sgn_if and
  3520 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  3521 INCOMPATIBILITY.
  3522 
  3523 * Locale "partial_order" now unified with class "order" (cf. theory
  3524 Orderings), added parameter "less".  INCOMPATIBILITY.
  3525 
  3526 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  3527 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  3528 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  3529 
  3530 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  3531 changed order of proof goals in instance proofs.
  3532 
  3533 * The transitivity reasoner for partial and linear orders is set up
  3534 for classes "order" and "linorder".  Instances of the reasoner are available
  3535 in all contexts importing or interpreting the corresponding locales.
  3536 Method "order" invokes the reasoner separately; the reasoner
  3537 is also integrated with the Simplifier as a solver.  Diagnostic
  3538 command 'print_orders' shows the available instances of the reasoner
  3539 in the current context.
  3540 
  3541 * Localized monotonicity predicate in theory "Orderings"; integrated
  3542 lemmas max_of_mono and min_of_mono with this predicate.
  3543 INCOMPATIBILITY.
  3544 
  3545 * Formulation of theorem "dense" changed slightly due to integration
  3546 with new class dense_linear_order.
  3547 
  3548 * Uniform lattice theory development in HOL.
  3549 
  3550     constants "meet" and "join" now named "inf" and "sup"
  3551     constant "Meet" now named "Inf"
  3552 
  3553     classes "meet_semilorder" and "join_semilorder" now named
  3554       "lower_semilattice" and "upper_semilattice"
  3555     class "lorder" now named "lattice"
  3556     class "comp_lat" now named "complete_lattice"
  3557 
  3558     Instantiation of lattice classes allows explicit definitions
  3559     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  3560 
  3561   INCOMPATIBILITY.  Theorem renames:
  3562 
  3563     meet_left_le            ~> inf_le1
  3564     meet_right_le           ~> inf_le2
  3565     join_left_le            ~> sup_ge1
  3566     join_right_le           ~> sup_ge2
  3567     meet_join_le            ~> inf_sup_ord
  3568     le_meetI                ~> le_infI
  3569     join_leI                ~> le_supI
  3570     le_meet                 ~> le_inf_iff
  3571     le_join                 ~> ge_sup_conv
  3572     meet_idempotent         ~> inf_idem
  3573     join_idempotent         ~> sup_idem
  3574     meet_comm               ~> inf_commute
  3575     join_comm               ~> sup_commute
  3576     meet_leI1               ~> le_infI1
  3577     meet_leI2               ~> le_infI2
  3578     le_joinI1               ~> le_supI1
  3579     le_joinI2               ~> le_supI2
  3580     meet_assoc              ~> inf_assoc
  3581     join_assoc              ~> sup_assoc
  3582     meet_left_comm          ~> inf_left_commute
  3583     meet_left_idempotent    ~> inf_left_idem
  3584     join_left_comm          ~> sup_left_commute
  3585     join_left_idempotent    ~> sup_left_idem
  3586     meet_aci                ~> inf_aci
  3587     join_aci                ~> sup_aci
  3588     le_def_meet             ~> le_iff_inf
  3589     le_def_join             ~> le_iff_sup
  3590     join_absorp2            ~> sup_absorb2
  3591     join_absorp1            ~> sup_absorb1
  3592     meet_absorp1            ~> inf_absorb1
  3593     meet_absorp2            ~> inf_absorb2
  3594     meet_join_absorp        ~> inf_sup_absorb
  3595     join_meet_absorp        ~> sup_inf_absorb
  3596     distrib_join_le         ~> distrib_sup_le
  3597     distrib_meet_le         ~> distrib_inf_le
  3598 
  3599     add_meet_distrib_left   ~> add_inf_distrib_left
  3600     add_join_distrib_left   ~> add_sup_distrib_left
  3601     is_join_neg_meet        ~> is_join_neg_inf
  3602     is_meet_neg_join        ~> is_meet_neg_sup
  3603     add_meet_distrib_right  ~> add_inf_distrib_right
  3604     add_join_distrib_right  ~> add_sup_distrib_right
  3605     add_meet_join_distribs  ~> add_sup_inf_distribs
  3606     join_eq_neg_meet        ~> sup_eq_neg_inf
  3607     meet_eq_neg_join        ~> inf_eq_neg_sup
  3608     add_eq_meet_join        ~> add_eq_inf_sup
  3609     meet_0_imp_0            ~> inf_0_imp_0
  3610     join_0_imp_0            ~> sup_0_imp_0
  3611     meet_0_eq_0             ~> inf_0_eq_0
  3612     join_0_eq_0             ~> sup_0_eq_0
  3613     neg_meet_eq_join        ~> neg_inf_eq_sup
  3614     neg_join_eq_meet        ~> neg_sup_eq_inf
  3615     join_eq_if              ~> sup_eq_if
  3616 
  3617     mono_meet               ~> mono_inf
  3618     mono_join               ~> mono_sup
  3619     meet_bool_eq            ~> inf_bool_eq
  3620     join_bool_eq            ~> sup_bool_eq
  3621     meet_fun_eq             ~> inf_fun_eq
  3622     join_fun_eq             ~> sup_fun_eq
  3623     meet_set_eq             ~> inf_set_eq
  3624     join_set_eq             ~> sup_set_eq
  3625     meet1_iff               ~> inf1_iff
  3626     meet2_iff               ~> inf2_iff
  3627     meet1I                  ~> inf1I
  3628     meet2I                  ~> inf2I
  3629     meet1D1                 ~> inf1D1
  3630     meet2D1                 ~> inf2D1
  3631     meet1D2                 ~> inf1D2
  3632     meet2D2                 ~> inf2D2
  3633     meet1E                  ~> inf1E
  3634     meet2E                  ~> inf2E
  3635     join1_iff               ~> sup1_iff
  3636     join2_iff               ~> sup2_iff
  3637     join1I1                 ~> sup1I1
  3638     join2I1                 ~> sup2I1
  3639     join1I1                 ~> sup1I1
  3640     join2I2                 ~> sup1I2
  3641     join1CI                 ~> sup1CI
  3642     join2CI                 ~> sup2CI
  3643     join1E                  ~> sup1E
  3644     join2E                  ~> sup2E
  3645 
  3646     is_meet_Meet            ~> is_meet_Inf
  3647     Meet_bool_def           ~> Inf_bool_def
  3648     Meet_fun_def            ~> Inf_fun_def
  3649     Meet_greatest           ~> Inf_greatest
  3650     Meet_lower              ~> Inf_lower
  3651     Meet_set_def            ~> Inf_set_def
  3652 
  3653     Sup_def                 ~> Sup_Inf
  3654     Sup_bool_eq             ~> Sup_bool_def
  3655     Sup_fun_eq              ~> Sup_fun_def
  3656     Sup_set_eq              ~> Sup_set_def
  3657 
  3658     listsp_meetI            ~> listsp_infI
  3659     listsp_meet_eq          ~> listsp_inf_eq
  3660 
  3661     meet_min                ~> inf_min
  3662     join_max                ~> sup_max
  3663 
  3664 * Added syntactic class "size"; overloaded constant "size" now has
  3665 type "'a::size ==> bool"
  3666 
  3667 * Internal reorganisation of `size' of datatypes: size theorems
  3668 "foo.size" are no longer subsumed by "foo.simps" (but are still
  3669 simplification rules by default!); theorems "prod.size" now named
  3670 "*.size".
  3671 
  3672 * Class "div" now inherits from class "times" rather than "type".
  3673 INCOMPATIBILITY.
  3674 
  3675 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  3676 Linorder etc.  have disappeared; operations defined in terms of
  3677 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  3678 
  3679 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  3680 
  3681 * HOL-Word: New extensive library and type for generic, fixed size
  3682 machine words, with arithemtic, bit-wise, shifting and rotating
  3683 operations, reflection into int, nat, and bool lists, automation for
  3684 linear arithmetic (by automatic reflection into nat or int), including
  3685 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  3686 arithmetic type classes, supporting automatic simplification of
  3687 numerals on all operations.
  3688 
  3689 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  3690 
  3691 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  3692 
  3693 * Code generator library theories:
  3694   - Code_Integer represents HOL integers by big integer literals in target
  3695     languages.
  3696   - Code_Char represents HOL characters by character literals in target
  3697     languages.
  3698   - Code_Char_chr like Code_Char, but also offers treatment of character
  3699     codes; includes Code_Integer.
  3700   - Executable_Set allows to generate code for finite sets using lists.
  3701   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  3702     denominator).
  3703   - Executable_Real implements a subset of real numbers, namly those
  3704     representable by rational numbers.
  3705   - Efficient_Nat implements natural numbers by integers, which in general will
  3706     result in higher efficency; pattern matching with 0/Suc is eliminated;
  3707     includes Code_Integer.
  3708   - Code_Index provides an additional datatype index which is mapped to
  3709     target-language built-in integers.
  3710   - Code_Message provides an additional datatype message_string which is isomorphic to
  3711     strings; messages are mapped to target-language strings.
  3712 
  3713 * New package for inductive predicates
  3714 
  3715   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  3716 
  3717     inductive
  3718       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3719       for z_1 :: U_1 and ... and z_n :: U_m
  3720     where
  3721       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3722     | ...
  3723 
  3724   with full support for type-inference, rather than
  3725 
  3726     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3727 
  3728     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3729     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3730 
  3731     inductive "s z_1 ... z_m"
  3732     intros
  3733       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3734       ...
  3735 
  3736   For backward compatibility, there is a wrapper allowing inductive
  3737   sets to be defined with the new package via
  3738 
  3739     inductive_set
  3740       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3741       for z_1 :: U_1 and ... and z_n :: U_m
  3742     where
  3743       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3744     | ...
  3745 
  3746   or
  3747 
  3748     inductive_set
  3749       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3750       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3751       for z_1 :: U_1 and ... and z_n :: U_m
  3752     where
  3753       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3754     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3755     | ...
  3756 
  3757   if the additional syntax "p ..." is required.
  3758 
  3759   Numerous examples can be found in the subdirectories src/HOL/Auth,
  3760   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  3761 
  3762   INCOMPATIBILITIES:
  3763 
  3764   - Since declaration and definition of inductive sets or predicates
  3765     is no longer separated, abbreviations involving the newly
  3766     introduced sets or predicates must be specified together with the
  3767     introduction rules after the 'where' keyword (see above), rather
  3768     than before the actual inductive definition.
  3769 
  3770   - The variables in induction and elimination rules are now
  3771     quantified in the order of their occurrence in the introduction
  3772     rules, rather than in alphabetical order. Since this may break
  3773     some proofs, these proofs either have to be repaired, e.g. by
  3774     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  3775     statements of the form
  3776 
  3777       case (rule_i a_i_1 ... a_i_{k_i})
  3778 
  3779     or the old order of quantification has to be restored by explicitly adding
  3780     meta-level quantifiers in the introduction rules, i.e.
  3781 
  3782       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  3783 
  3784   - The format of the elimination rules is now
  3785 
  3786       p z_1 ... z_m x_1 ... x_n ==>
  3787         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3788         ==> ... ==> P
  3789 
  3790     for predicates and
  3791 
  3792       (x_1, ..., x_n) : s z_1 ... z_m ==>
  3793         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3794         ==> ... ==> P
  3795 
  3796     for sets rather than
  3797 
  3798       x : s z_1 ... z_m ==>
  3799         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  3800         ==> ... ==> P
  3801 
  3802     This may require terms in goals to be expanded to n-tuples
  3803     (e.g. using case_tac or simplification with the split_paired_all
  3804     rule) before the above elimination rule is applicable.
  3805 
  3806   - The elimination or case analysis rules for (mutually) inductive
  3807     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  3808     list of rules "p_1_..._p_k.elims" is no longer available.
  3809 
  3810 * New package "function"/"fun" for general recursive functions,
  3811 supporting mutual and nested recursion, definitions in local contexts,
  3812 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  3813 for small examples, and the separate tutorial on the function
  3814 package. The old recdef "package" is still available as before, but
  3815 users are encouraged to use the new package.
  3816 
  3817 * Method "lexicographic_order" automatically synthesizes termination
  3818 relations as lexicographic combinations of size measures. 
  3819 
  3820 * Case-expressions allow arbitrary constructor-patterns (including
  3821 "_") and take their order into account, like in functional
  3822 programming.  Internally, this is translated into nested
  3823 case-expressions; missing cases are added and mapped to the predefined
  3824 constant "undefined". In complicated cases printing may no longer show
  3825 the original input but the internal form. Lambda-abstractions allow
  3826 the same form of pattern matching: "% pat1 => e1 | ..." is an
  3827 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  3828 variable.
  3829 
  3830 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  3831 is an abbreviation for "of_nat :: nat => int". The simplification
  3832 rules for "of_nat" have been changed to work like "int" did
  3833 previously.  Potential INCOMPATIBILITY:
  3834   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  3835   - of_nat_diff and of_nat_mult are no longer default simp rules
  3836 
  3837 * Method "algebra" solves polynomial equations over (semi)rings using
  3838 Groebner bases. The (semi)ring structure is defined by locales and the
  3839 tool setup depends on that generic context. Installing the method for
  3840 a specific type involves instantiating the locale and possibly adding
  3841 declarations for computation on the coefficients.  The method is
  3842 already instantiated for natural numbers and for the axiomatic class
  3843 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  3844 CALCULEMUS 2007 for the general principles underlying this
  3845 architecture of context-aware proof-tools.
  3846 
  3847 * Method "ferrack" implements quantifier elimination over
  3848 special-purpose dense linear orders using locales (analogous to
  3849 "algebra"). The method is already installed for class
  3850 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  3851 rat, etc.
  3852 
  3853 * Former constant "List.op @" now named "List.append".  Use ML
  3854 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  3855 circumvent possible incompatibilities when working on ML level.
  3856 
  3857 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  3858 
  3859 * New function listsum :: 'a list => 'a for arbitrary monoids.
  3860 Special syntax: "SUM x <- xs. f x" (and latex variants)
  3861 
  3862 * New syntax for Haskell-like list comprehension (input only), eg.
  3863 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  3864 
  3865 * The special syntax for function "filter" has changed from [x :
  3866 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  3867 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  3868 
  3869 * [a..b] is now defined for arbitrary linear orders.  It used to be
  3870 defined on nat only, as an abbreviation for [a..<Suc b]
  3871 INCOMPATIBILITY.
  3872 
  3873 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  3874 
  3875 * New functions "sorted" and "sort" in src/HOL/List.thy.
  3876 
  3877 * New lemma collection field_simps (an extension of ring_simps) for
  3878 manipulating (in)equations involving division. Multiplies with all
  3879 denominators that can be proved to be non-zero (in equations) or
  3880 positive/negative (in inequations).
  3881 
  3882 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  3883 have been improved and renamed to ring_simps, group_simps and
  3884 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  3885 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  3886 
  3887 * Theory Library/Commutative_Ring: switched from recdef to function
  3888 package; constants add, mul, pow now curried.  Infix syntax for
  3889 algebraic operations.
  3890 
  3891 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  3892 INCOMPATIBILITY.
  3893 
  3894 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  3895 INCOMPATIBILITY.
  3896 
  3897 * HOL/records: generalised field-update to take a function on the
  3898 field rather than the new value: r(|A := x|) is translated to A_update
  3899 (K x) r The K-combinator that is internally used is called K_record.
  3900 INCOMPATIBILITY: Usage of the plain update functions has to be
  3901 adapted.
  3902  
  3903 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  3904 * x = 0, which are required for a semiring.  Richer structures do not
  3905 inherit from semiring_0 anymore, because this property is a theorem
  3906 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  3907 there is more to prove, but this is mostly trivial.
  3908 
  3909 * Class "recpower" is generalized to arbitrary monoids, not just
  3910 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  3911 commutativity or semiring properties additionally.
  3912 
  3913 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  3914 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  3915 better use 'abbreviation'.
  3916 
  3917 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  3918 
  3919 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  3920 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  3921 significant changes for setting up numeral syntax for types:
  3922   - New constants Numeral.pred and Numeral.succ instead
  3923       of former Numeral.bin_pred and Numeral.bin_succ.
  3924   - Use integer operations instead of bin_add, bin_mult and so on.
  3925   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  3926   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  3927 
  3928 See src/HOL/Integ/IntArith.thy for an example setup.
  3929 
  3930 * Command 'normal_form' computes the normal form of a term that may
  3931 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  3932 produces ``[b, c, a]'' (without proof).  This command is suitable for
  3933 heavy-duty computations because the functions are compiled to ML
  3934 first.  Correspondingly, a method "normalization" is provided.  See
  3935 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  3936 
  3937 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  3938 25 like -->); output depends on the "iff" print_mode, the default is
  3939 "A = B" (with priority 50).
  3940 
  3941 * Relations less (<) and less_eq (<=) are also available on type bool.
  3942 Modified syntax to disallow nesting without explicit parentheses,
  3943 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  3944 INCOMPATIBILITY.
  3945 
  3946 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  3947 
  3948 * Relation composition operator "op O" now has precedence 75 and binds
  3949 stronger than union and intersection. INCOMPATIBILITY.
  3950 
  3951 * The old set interval syntax "{m..n(}" (and relatives) has been
  3952 removed.  Use "{m..<n}" (and relatives) instead.
  3953 
  3954 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3955 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3956 ``declare [[simproc del: neq]]''.
  3957 
  3958 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3959 True/False.
  3960 
  3961 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3962 
  3963 * Theorem setsum_mult renamed to setsum_right_distrib.
  3964 
  3965 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3966 ``rule'' method.
  3967 
  3968 * Reimplemented methods "sat" and "satx", with several improvements:
  3969 goals no longer need to be stated as "<prems> ==> False", equivalences
  3970 (i.e. "=" on type bool) are handled, variable names of the form
  3971 "lit_<n>" are no longer reserved, significant speedup.
  3972 
  3973 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3974 zChaff is still supported as well.
  3975 
  3976 * 'inductive' and 'datatype': provide projections of mutual rules,
  3977 bundled as foo_bar.inducts;
  3978 
  3979 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3980 Library.
  3981 
  3982 * Library: moved theory Accessible_Part to main HOL.
  3983 
  3984 * Library: added theory Coinductive_List of potentially infinite lists
  3985 as greatest fixed-point.
  3986 
  3987 * Library: added theory AssocList which implements (finite) maps as
  3988 association lists.
  3989 
  3990 * Method "evaluation" solves goals (i.e. a boolean expression)
  3991 efficiently by compiling it to ML.  The goal is "proved" (via an
  3992 oracle) if it evaluates to True.
  3993 
  3994 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3995 also when invoked by the simplifier.  This results in the Simplifier
  3996 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3997 Configuration option fast_arith_split_limit=0 recovers the old
  3998 behavior.
  3999 
  4000 * Support for hex (0x20) and binary (0b1001) numerals.
  4001 
  4002 * New method: reify eqs (t), where eqs are equations for an
  4003 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  4004 parameter, computes a term s::'b and a list xs::'a list and proves the
  4005 theorem I xs s = t. This is also known as reification or quoting. The
  4006 resulting theorem is applied to the subgoal to substitute t with I xs
  4007 s.  If t is omitted, the subgoal itself is reified.
  4008 
  4009 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  4010 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  4011 where f is supposed to be a computable function (in the sense of code
  4012 generattion). The method uses reify to compute s and xs as above then
  4013 applies corr_thm and uses normalization by evaluation to "prove" f s =
  4014 r and finally gets the theorem t = r, which is again applied to the
  4015 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  4016 
  4017 * Reflection: Automatic reification now handels binding, an example is
  4018 available in src/HOL/ex/ReflectionEx.thy
  4019 
  4020 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  4021 command 'statespace' that is similar to 'record', but introduces an
  4022 abstract specification based on the locale infrastructure instead of
  4023 HOL types.  This leads to extra flexibility in composing state spaces,
  4024 in particular multiple inheritance and renaming of components.
  4025 
  4026 
  4027 *** HOL-Complex ***
  4028 
  4029 * Hyperreal: Functions root and sqrt are now defined on negative real
  4030 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  4031 Nonnegativity side conditions have been removed from many lemmas, so
  4032 that more subgoals may now be solved by simplification; potential
  4033 INCOMPATIBILITY.
  4034 
  4035 * Real: new type classes formalize real normed vector spaces and
  4036 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  4037 and norm :: 'a => real.
  4038 
  4039 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  4040 reals into other types. The overloaded constant Reals :: 'a set is now
  4041 defined as range of_real; potential INCOMPATIBILITY.
  4042 
  4043 * Real: proper support for ML code generation, including 'quickcheck'.
  4044 Reals are implemented as arbitrary precision rationals.
  4045 
  4046 * Hyperreal: Several constants that previously worked only for the
  4047 reals have been generalized, so they now work over arbitrary vector
  4048 spaces. Type annotations may need to be added in some cases; potential
  4049 INCOMPATIBILITY.
  4050 
  4051   Infinitesimal  :: ('a::real_normed_vector) star set
  4052   HFinite        :: ('a::real_normed_vector) star set
  4053   HInfinite      :: ('a::real_normed_vector) star set
  4054   approx         :: ('a::real_normed_vector) star => 'a star => bool
  4055   monad          :: ('a::real_normed_vector) star => 'a star set
  4056   galaxy         :: ('a::real_normed_vector) star => 'a star set
  4057   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  4058   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  4059   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  4060   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  4061   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  4062   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  4063   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  4064   sgn            :: 'a::real_normed_vector => 'a
  4065   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  4066 
  4067 * Complex: Some complex-specific constants are now abbreviations for
  4068 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  4069 hnorm.  Other constants have been entirely removed in favor of the
  4070 polymorphic versions (INCOMPATIBILITY):
  4071 
  4072   approx        <-- capprox
  4073   HFinite       <-- CFinite
  4074   HInfinite     <-- CInfinite
  4075   Infinitesimal <-- CInfinitesimal
  4076   monad         <-- cmonad
  4077   galaxy        <-- cgalaxy
  4078   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  4079   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  4080   (ns)deriv     <-- (ns)cderiv
  4081 
  4082 
  4083 *** HOL-Algebra ***
  4084 
  4085 * Formalisation of ideals and the quotient construction over rings.
  4086 
  4087 * Order and lattice theory no longer based on records.
  4088 INCOMPATIBILITY.
  4089 
  4090 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  4091 greatest_closed.  INCOMPATIBILITY.
  4092 
  4093 * Method algebra is now set up via an attribute.  For examples see
  4094 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  4095 of algebraic structures.
  4096 
  4097 * Renamed theory CRing to Ring.
  4098 
  4099 
  4100 *** HOL-Nominal ***
  4101 
  4102 * Substantial, yet incomplete support for nominal datatypes (binding
  4103 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  4104 src/HOL/Nominal/Examples.  Prospective users should consult
  4105 http://isabelle.in.tum.de/nominal/
  4106 
  4107 
  4108 *** ML ***
  4109 
  4110 * ML basics: just one true type int, which coincides with IntInf.int
  4111 (even on SML/NJ).
  4112 
  4113 * ML within Isar: antiquotations allow to embed statically-checked
  4114 formal entities in the source, referring to the context available at
  4115 compile-time.  For example:
  4116 
  4117 ML {* @{sort "{zero,one}"} *}
  4118 ML {* @{typ "'a => 'b"} *}
  4119 ML {* @{term "%x. x"} *}
  4120 ML {* @{prop "x == y"} *}
  4121 ML {* @{ctyp "'a => 'b"} *}
  4122 ML {* @{cterm "%x. x"} *}
  4123 ML {* @{cprop "x == y"} *}
  4124 ML {* @{thm asm_rl} *}
  4125 ML {* @{thms asm_rl} *}
  4126 ML {* @{type_name c} *}
  4127 ML {* @{type_syntax c} *}
  4128 ML {* @{const_name c} *}
  4129 ML {* @{const_syntax c} *}
  4130 ML {* @{context} *}
  4131 ML {* @{theory} *}
  4132 ML {* @{theory Pure} *}
  4133 ML {* @{theory_ref} *}
  4134 ML {* @{theory_ref Pure} *}
  4135 ML {* @{simpset} *}
  4136 ML {* @{claset} *}
  4137 ML {* @{clasimpset} *}
  4138 
  4139 The same works for sources being ``used'' within an Isar context.
  4140 
  4141 * ML in Isar: improved error reporting; extra verbosity with
  4142 ML_Context.trace enabled.
  4143 
  4144 * Pure/General/table.ML: the join operations now works via exceptions
  4145 DUP/SAME instead of type option. This is simpler in simple cases, and
  4146 admits slightly more efficient complex applications.
  4147 
  4148 * Pure: 'advanced' translation functions (parse_translation etc.) now
  4149 use Context.generic instead of just theory.
  4150 
  4151 * Pure: datatype Context.generic joins theory/Proof.context and
  4152 provides some facilities for code that works in either kind of
  4153 context, notably GenericDataFun for uniform theory and proof data.
  4154 
  4155 * Pure: simplified internal attribute type, which is now always
  4156 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  4157 local (Proof.context) attributes have been discontinued, while
  4158 minimizing code duplication. Thm.rule_attribute and
  4159 Thm.declaration_attribute build canonical attributes; see also structure
  4160 Context for further operations on Context.generic, notably
  4161 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  4162 declarations and definitions.
  4163 
  4164 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  4165 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  4166 init only required for impure data. INCOMPATIBILITY: empty really need
  4167 to be empty (no dependencies on theory content!)
  4168 
  4169 * Pure/kernel: consts certification ignores sort constraints given in
  4170 signature declarations. (This information is not relevant to the
  4171 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  4172 potential INCOMPATIBILITY.
  4173 
  4174 * Pure: axiomatic type classes are now purely definitional, with
  4175 explicit proofs of class axioms and super class relations performed
  4176 internally. See Pure/axclass.ML for the main internal interfaces --
  4177 notably AxClass.define_class supercedes AxClass.add_axclass, and
  4178 AxClass.axiomatize_class/classrel/arity supersede
  4179 Sign.add_classes/classrel/arities.
  4180 
  4181 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  4182 global/local versions on theory vs. Proof.context have been
  4183 discontinued; Attrib.syntax and Method.syntax have been adapted
  4184 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  4185 attributes, methods, etc.
  4186 
  4187 * Pure: several functions of signature "... -> theory -> theory * ..."
  4188 have been reoriented to "... -> theory -> ... * theory" in order to
  4189 allow natural usage in combination with the ||>, ||>>, |-> and
  4190 fold_map combinators.
  4191 
  4192 * Pure: official theorem names (closed derivations) and additional
  4193 comments (tags) are now strictly separate.  Name hints -- which are
  4194 maintained as tags -- may be attached any time without affecting the
  4195 derivation.
  4196 
  4197 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  4198 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  4199 achieve the old behaviour.
  4200 
  4201 * Pure: the "Goal" constant is now called "prop", supporting a
  4202 slightly more general idea of ``protecting'' meta-level rule
  4203 statements.
  4204 
  4205 * Pure: Logic.(un)varify only works in a global context, which is now
  4206 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  4207 Logic.legacy_(un)varify as temporary workaround.
  4208 
  4209 * Pure: structure Name provides scalable operations for generating
  4210 internal variable names, notably Name.variants etc.  This replaces
  4211 some popular functions from term.ML:
  4212 
  4213   Term.variant		->  Name.variant
  4214   Term.variantlist	->  Name.variant_list
  4215   Term.invent_names	->  Name.invent_list
  4216 
  4217 Note that low-level renaming rarely occurs in new code -- operations
  4218 from structure Variable are used instead (see below).
  4219 
  4220 * Pure: structure Variable provides fundamental operations for proper
  4221 treatment of fixed/schematic variables in a context.  For example,
  4222 Variable.import introduces fixes for schematics of given facts and
  4223 Variable.export reverses the effect (up to renaming) -- this replaces
  4224 various freeze_thaw operations.
  4225 
  4226 * Pure: structure Goal provides simple interfaces for
  4227 init/conclude/finish and tactical prove operations (replacing former
  4228 Tactic.prove).  Goal.prove is the canonical way to prove results
  4229 within a given context; Goal.prove_global is a degraded version for
  4230 theory level goals, including a global Drule.standard.  Note that
  4231 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  4232 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  4233 in a locale context).
  4234 
  4235 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  4236 and type checking (Syntax.check_term etc.), with common combinations
  4237 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  4238 which are considered legacy and await removal.
  4239 
  4240 * Pure/Syntax: generic interfaces for type unchecking
  4241 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  4242 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  4243 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  4244 available for convenience, but refer to the very same operations using
  4245 a mere theory instead of a full context.
  4246 
  4247 * Isar: simplified treatment of user-level errors, using exception
  4248 ERROR of string uniformly.  Function error now merely raises ERROR,
  4249 without any side effect on output channels.  The Isar toplevel takes
  4250 care of proper display of ERROR exceptions.  ML code may use plain
  4251 handle/can/try; cat_error may be used to concatenate errors like this:
  4252 
  4253   ... handle ERROR msg => cat_error msg "..."
  4254 
  4255 Toplevel ML code (run directly or through the Isar toplevel) may be
  4256 embedded into the Isar toplevel with exception display/debug like
  4257 this:
  4258 
  4259   Isar.toplevel (fn () => ...)
  4260 
  4261 INCOMPATIBILITY, removed special transform_error facilities, removed
  4262 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  4263 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  4264 -- use plain ERROR instead.
  4265 
  4266 * Isar: theory setup now has type (theory -> theory), instead of a
  4267 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  4268 
  4269 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  4270 ProofContext.debug/verbose flags.
  4271 
  4272 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  4273 theory before entering a proof state.  Transactions now always see a
  4274 quasi-functional intermediate checkpoint, both in interactive and
  4275 batch mode.
  4276 
  4277 * Isar: simplified interfaces for outer syntax.  Renamed
  4278 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  4279 OuterSyntax.add_parsers -- this functionality is now included in
  4280 OuterSyntax.command etc.  INCOMPATIBILITY.
  4281 
  4282 * Simplifier: the simpset of a running simplification process now
  4283 contains a proof context (cf. Simplifier.the_context), which is the
  4284 very context that the initial simpset has been retrieved from (by
  4285 simpset_of/local_simpset_of).  Consequently, all plug-in components
  4286 (solver, looper etc.) may depend on arbitrary proof data.
  4287 
  4288 * Simplifier.inherit_context inherits the proof context (plus the
  4289 local bounds) of the current simplification process; any simproc
  4290 etc. that calls the Simplifier recursively should do this!  Removed
  4291 former Simplifier.inherit_bounds, which is already included here --
  4292 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  4293 specify an explicit context using Simplifier.context/theory_context.
  4294 
  4295 * Simplifier/Classical Reasoner: more abstract interfaces
  4296 change_simpset/claset for modifying the simpset/claset reference of a
  4297 theory; raw versions simpset/claset_ref etc. have been discontinued --
  4298 INCOMPATIBILITY.
  4299 
  4300 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  4301 "Trueprop" etc.
  4302 
  4303 
  4304 *** System ***
  4305 
  4306 * settings: the default heap location within ISABELLE_HOME_USER now
  4307 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  4308 Isabelle installations.
  4309 
  4310 * isabelle-process: option -S (secure mode) disables some critical
  4311 operations, notably runtime compilation and evaluation of ML source
  4312 code.
  4313 
  4314 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  4315 
  4316 * Support for parallel execution, using native multicore support of
  4317 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  4318 independent theories, according to the given theory header
  4319 specifications. The maximum number of worker threads is specified via
  4320 usedir option -M or the "max-threads" setting in Proof General. A
  4321 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  4322 to 6 on a 8-core machine.  User-code needs to observe certain
  4323 guidelines for thread-safe programming, see appendix A in the Isar
  4324 Implementation manual.
  4325 
  4326 
  4327 
  4328 New in Isabelle2005 (October 2005)
  4329 ----------------------------------
  4330 
  4331 *** General ***
  4332 
  4333 * Theory headers: the new header syntax for Isar theories is
  4334 
  4335   theory <name>
  4336   imports <theory1> ... <theoryN>
  4337   uses <file1> ... <fileM>
  4338   begin
  4339 
  4340 where the 'uses' part is optional.  The previous syntax
  4341 
  4342   theory <name> = <theory1> + ... + <theoryN>:
  4343 
  4344 will disappear in the next release.  Use isatool fixheaders to convert
  4345 existing theory files.  Note that there is no change in ancient
  4346 non-Isar theories now, but these will disappear soon.
  4347 
  4348 * Theory loader: parent theories can now also be referred to via
  4349 relative and absolute paths.
  4350 
  4351 * Command 'find_theorems' searches for a list of criteria instead of a
  4352 list of constants. Known criteria are: intro, elim, dest, name:string,
  4353 simp:term, and any term. Criteria can be preceded by '-' to select
  4354 theorems that do not match. Intro, elim, dest select theorems that
  4355 match the current goal, name:s selects theorems whose fully qualified
  4356 name contain s, and simp:term selects all simplification rules whose
  4357 lhs match term.  Any other term is interpreted as pattern and selects
  4358 all theorems matching the pattern. Available in ProofGeneral under
  4359 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  4360 
  4361   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  4362 
  4363 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  4364 matching the current goal as introduction rule and not having "HOL."
  4365 in their name (i.e. not being defined in theory HOL).
  4366 
  4367 * Command 'thms_containing' has been discontinued in favour of
  4368 'find_theorems'; INCOMPATIBILITY.
  4369 
  4370 * Communication with Proof General is now 8bit clean, which means that
  4371 Unicode text in UTF-8 encoding may be used within theory texts (both
  4372 formal and informal parts).  Cf. option -U of the Isabelle Proof
  4373 General interface.  Here are some simple examples (cf. src/HOL/ex):
  4374 
  4375   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  4376   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  4377 
  4378 * Improved efficiency of the Simplifier and, to a lesser degree, the
  4379 Classical Reasoner.  Typical big applications run around 2 times
  4380 faster.
  4381 
  4382 
  4383 *** Document preparation ***
  4384 
  4385 * Commands 'display_drafts' and 'print_drafts' perform simple output
  4386 of raw sources.  Only those symbols that do not require additional
  4387 LaTeX packages (depending on comments in isabellesym.sty) are
  4388 displayed properly, everything else is left verbatim.  isatool display
  4389 and isatool print are used as front ends (these are subject to the
  4390 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  4391 
  4392 * Command tags control specific markup of certain regions of text,
  4393 notably folding and hiding.  Predefined tags include "theory" (for
  4394 theory begin and end), "proof" for proof commands, and "ML" for
  4395 commands involving ML code; the additional tags "visible" and
  4396 "invisible" are unused by default.  Users may give explicit tag
  4397 specifications in the text, e.g. ''by %invisible (auto)''.  The
  4398 interpretation of tags is determined by the LaTeX job during document
  4399 preparation: see option -V of isatool usedir, or options -n and -t of
  4400 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  4401 \isadroptag.
  4402 
  4403 Several document versions may be produced at the same time via isatool
  4404 usedir (the generated index.html will link all of them).  Typical
  4405 specifications include ''-V document=theory,proof,ML'' to present
  4406 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  4407 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  4408 these parts without any formal replacement text.  The Isabelle site
  4409 default settings produce ''document'' and ''outline'' versions as
  4410 specified above.
  4411 
  4412 * Several new antiquotations:
  4413 
  4414   @{term_type term} prints a term with its type annotated;
  4415 
  4416   @{typeof term} prints the type of a term;
  4417 
  4418   @{const const} is the same as @{term const}, but checks that the
  4419   argument is a known logical constant;
  4420 
  4421   @{term_style style term} and @{thm_style style thm} print a term or
  4422   theorem applying a "style" to it
  4423 
  4424   @{ML text}
  4425 
  4426 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  4427 definitions, equations, inequations etc., 'concl' printing only the
  4428 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  4429 to print the specified premise.  TermStyle.add_style provides an ML
  4430 interface for introducing further styles.  See also the "LaTeX Sugar"
  4431 document practical applications.  The ML antiquotation prints
  4432 type-checked ML expressions verbatim.
  4433 
  4434 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  4435 and 'text' support optional locale specification '(in loc)', which
  4436 specifies the default context for interpreting antiquotations.  For
  4437 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  4438 
  4439 * Option 'locale=NAME' of antiquotations specifies an alternative
  4440 context interpreting the subsequent argument.  For example: @{thm
  4441 [locale=lattice] inf_assoc}.
  4442 
  4443 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  4444 a proof context.
  4445 
  4446 * Proper output of antiquotations for theory commands involving a
  4447 proof context (such as 'locale' or 'theorem (in loc) ...').
  4448 
  4449 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  4450 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  4451 
  4452 * isatool usedir: new option -C (default true) controls whether option
  4453 -D should include a copy of the original document directory; -C false
  4454 prevents unwanted effects such as copying of administrative CVS data.
  4455 
  4456 
  4457 *** Pure ***
  4458 
  4459 * Considerably improved version of 'constdefs' command.  Now performs
  4460 automatic type-inference of declared constants; additional support for
  4461 local structure declarations (cf. locales and HOL records), see also
  4462 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  4463 sequential dependencies of definitions within a single 'constdefs'
  4464 section; moreover, the declared name needs to be an identifier.  If
  4465 all fails, consider to fall back on 'consts' and 'defs' separately.
  4466 
  4467 * Improved indexed syntax and implicit structures.  First of all,
  4468 indexed syntax provides a notational device for subscripted
  4469 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  4470 expressions.  Secondly, in a local context with structure
  4471 declarations, number indexes \<^sub>n or the empty index (default
  4472 number 1) refer to a certain fixed variable implicitly; option
  4473 show_structs controls printing of implicit structures.  Typical
  4474 applications of these concepts involve record types and locales.
  4475 
  4476 * New command 'no_syntax' removes grammar declarations (and
  4477 translations) resulting from the given syntax specification, which is
  4478 interpreted in the same manner as for the 'syntax' command.
  4479 
  4480 * 'Advanced' translation functions (parse_translation etc.) may depend
  4481 on the signature of the theory context being presently used for
  4482 parsing/printing, see also isar-ref manual.
  4483 
  4484 * Improved 'oracle' command provides a type-safe interface to turn an
  4485 ML expression of type theory -> T -> term into a primitive rule of
  4486 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  4487 is already included here); see also FOL/ex/IffExample.thy;
  4488 INCOMPATIBILITY.
  4489 
  4490 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  4491 before); "cI" is no longer bound, use "c.intro" instead.
  4492 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  4493 axclasses vs. locales.
  4494 
  4495 * Improved internal renaming of symbolic identifiers -- attach primes
  4496 instead of base 26 numbers.
  4497 
  4498 * New flag show_question_marks controls printing of leading question
  4499 marks in schematic variable names.
  4500 
  4501 * In schematic variable names, *any* symbol following \<^isub> or
  4502 \<^isup> is now treated as part of the base name.  For example, the
  4503 following works without printing of awkward ".0" indexes:
  4504 
  4505   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  4506     by simp
  4507 
  4508 * Inner syntax includes (*(*nested*) comments*).
  4509 
  4510 * Pretty printer now supports unbreakable blocks, specified in mixfix
  4511 annotations as "(00...)".
  4512 
  4513 * Clear separation of logical types and nonterminals, where the latter
  4514 may only occur in 'syntax' specifications or type abbreviations.
  4515 Before that distinction was only partially implemented via type class
  4516 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  4517 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  4518 exotic syntax specifications may require further adaption
  4519 (e.g. Cube/Cube.thy).
  4520 
  4521 * Removed obsolete type class "logic", use the top sort {} instead.
  4522 Note that non-logical types should be declared as 'nonterminals'
  4523 rather than 'types'.  INCOMPATIBILITY for new object-logic
  4524 specifications.
  4525 
  4526 * Attributes 'induct' and 'cases': type or set names may now be
  4527 locally fixed variables as well.
  4528 
  4529 * Simplifier: can now control the depth to which conditional rewriting
  4530 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  4531 Limit.
  4532 
  4533 * Simplifier: simplification procedures may now take the current
  4534 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  4535 interface), which is very useful for calling the Simplifier
  4536 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  4537 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  4538 low-level mk_simproc no longer applies Logic.varify internally, to
  4539 allow for use in a context of fixed variables.
  4540 
  4541 * thin_tac now works even if the assumption being deleted contains !!
  4542 or ==>.  More generally, erule now works even if the major premise of
  4543 the elimination rule contains !! or ==>.
  4544 
  4545 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  4546 
  4547 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  4548 from Pure, which contains all common declarations already.  Both
  4549 theories are defined via plain Isabelle/Isar .thy files.
  4550 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  4551 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  4552 use isatool fixcpure to adapt your theory and ML sources.
  4553 
  4554 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  4555 selections of theorems in named facts via index ranges.
  4556 
  4557 * 'print_theorems': in theory mode, really print the difference
  4558 wrt. the last state (works for interactive theory development only),
  4559 in proof mode print all local facts (cf. 'print_facts');
  4560 
  4561 * 'hide': option '(open)' hides only base names.
  4562 
  4563 * More efficient treatment of intermediate checkpoints in interactive
  4564 theory development.
  4565 
  4566 * Code generator is now invoked via code_module (incremental code
  4567 generation) and code_library (modular code generation, ML structures
  4568 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  4569 must be quoted when used as identifiers.
  4570 
  4571 * New 'value' command for reading, evaluating and printing terms using
  4572 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  4573 quoted when used as identifier.
  4574 
  4575 
  4576 *** Locales ***
  4577 
  4578 * New commands for the interpretation of locale expressions in
  4579 theories (1), locales (2) and proof contexts (3).  These generate
  4580 proof obligations from the expression specification.  After the
  4581 obligations have been discharged, theorems of the expression are added
  4582 to the theory, target locale or proof context.  The synopsis of the
  4583 commands is a follows:
  4584 
  4585   (1) interpretation expr inst
  4586   (2) interpretation target < expr
  4587   (3) interpret expr inst
  4588 
  4589 Interpretation in theories and proof contexts require a parameter
  4590 instantiation of terms from the current context.  This is applied to
  4591 specifications and theorems of the interpreted expression.
  4592 Interpretation in locales only permits parameter renaming through the
  4593 locale expression.  Interpretation is smart in that interpretations
  4594 that are active already do not occur in proof obligations, neither are
  4595 instantiated theorems stored in duplicate.  Use 'print_interps' to
  4596 inspect active interpretations of a particular locale.  For details,
  4597 see the Isar Reference manual.  Examples can be found in
  4598 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  4599 
  4600 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  4601 'interpret' instead.
  4602 
  4603 * New context element 'constrains' for adding type constraints to
  4604 parameters.
  4605 
  4606 * Context expressions: renaming of parameters with syntax
  4607 redeclaration.
  4608 
  4609 * Locale declaration: 'includes' disallowed.
  4610 
  4611 * Proper static binding of attribute syntax -- i.e. types / terms /
  4612 facts mentioned as arguments are always those of the locale definition
  4613 context, independently of the context of later invocations.  Moreover,
  4614 locale operations (renaming and type / term instantiation) are applied
  4615 to attribute arguments as expected.
  4616 
  4617 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  4618 actual attributes; rare situations may require Attrib.attribute to
  4619 embed those attributes into Attrib.src that lack concrete syntax.
  4620 Attribute implementations need to cooperate properly with the static
  4621 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  4622 Attrib.XXX_thm etc. already do the right thing without further
  4623 intervention.  Only unusual applications -- such as "where" or "of"
  4624 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  4625 on the context and the facts involved -- may have to assign parsed
  4626 values to argument tokens explicitly.
  4627 
  4628 * Changed parameter management in theorem generation for long goal
  4629 statements with 'includes'.  INCOMPATIBILITY: produces a different
  4630 theorem statement in rare situations.
  4631 
  4632 * Locale inspection command 'print_locale' omits notes elements.  Use
  4633 'print_locale!' to have them included in the output.
  4634 
  4635 
  4636 *** Provers ***
  4637 
  4638 * Provers/hypsubst.ML: improved version of the subst method, for
  4639 single-step rewriting: it now works in bound variable contexts. New is
  4640 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  4641 rewrite a different subterm than the original subst method, which is
  4642 still available as 'simplesubst'.
  4643 
  4644 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  4645 and quasi orders.
  4646 
  4647 * Provers/trancl.ML: new transitivity reasoner for transitive and
  4648 reflexive-transitive closure of relations.
  4649 
  4650 * Provers/blast.ML: new reference depth_limit to make blast's depth
  4651 limit (previously hard-coded with a value of 20) user-definable.
  4652 
  4653 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  4654 is peformed already.  Object-logics merely need to finish their
  4655 initial simpset configuration as before.  INCOMPATIBILITY.
  4656 
  4657 
  4658 *** HOL ***
  4659 
  4660 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  4661 
  4662   syntax (epsilon)
  4663     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  4664 
  4665 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  4666 and x-symbol; use option '-m epsilon' to get it actually printed.
  4667 Moreover, the mathematically important symbolic identifier \<epsilon>
  4668 becomes available as variable, constant etc.  INCOMPATIBILITY,
  4669 
  4670 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  4671 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  4672 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  4673 support corresponding Isar calculations.
  4674 
  4675 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  4676 instead of ":".
  4677 
  4678 * theory SetInterval: changed the syntax for open intervals:
  4679 
  4680   Old       New
  4681   {..n(}    {..<n}
  4682   {)n..}    {n<..}
  4683   {m..n(}   {m..<n}
  4684   {)m..n}   {m<..n}
  4685   {)m..n(}  {m<..<n}
  4686 
  4687 The old syntax is still supported but will disappear in the next
  4688 release.  For conversion use the following Emacs search and replace
  4689 patterns (these are not perfect but work quite well):
  4690 
  4691   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  4692   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  4693 
  4694 * Theory Commutative_Ring (in Library): method comm_ring for proving
  4695 equalities in commutative rings; method 'algebra' provides a generic
  4696 interface.
  4697 
  4698 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  4699 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  4700 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  4701 be a tuple pattern.
  4702 
  4703 Some new syntax forms are available:
  4704 
  4705   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  4706   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  4707   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  4708   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  4709 
  4710 The latter form "\<Sum>x < k. e" used to be based on a separate
  4711 function "Summation", which has been discontinued.
  4712 
  4713 * theory Finite_Set: in structured induction proofs, the insert case
  4714 is now 'case (insert x F)' instead of the old counterintuitive 'case
  4715 (insert F x)'.
  4716 
  4717 * The 'refute' command has been extended to support a much larger
  4718 fragment of HOL, including axiomatic type classes, constdefs and
  4719 typedefs, inductive datatypes and recursion.
  4720 
  4721 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  4722 Requires zChaff with proof generation to be installed.  See
  4723 HOL/ex/SAT_Examples.thy for examples.
  4724 
  4725 * Datatype induction via method 'induct' now preserves the name of the
  4726 induction variable. For example, when proving P(xs::'a list) by
  4727 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  4728 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  4729 in unstructured proof scripts.
  4730 
  4731 * Reworked implementation of records.  Improved scalability for
  4732 records with many fields, avoiding performance problems for type
  4733 inference. Records are no longer composed of nested field types, but
  4734 of nested extension types. Therefore the record type only grows linear
  4735 in the number of extensions and not in the number of fields.  The
  4736 top-level (users) view on records is preserved.  Potential
  4737 INCOMPATIBILITY only in strange cases, where the theory depends on the
  4738 old record representation. The type generated for a record is called
  4739 <record_name>_ext_type.
  4740 
  4741 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  4742 proofs triggered by a record definition or a simproc (if
  4743 quick_and_dirty is enabled).  Definitions of large records can take
  4744 quite long.
  4745 
  4746 New simproc record_upd_simproc for simplification of multiple record
  4747 updates enabled by default.  Moreover, trivial updates are also
  4748 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  4749 occasionally, since simplification is more powerful by default.
  4750 
  4751 * typedef: proper support for polymorphic sets, which contain extra
  4752 type-variables in the term.
  4753 
  4754 * Simplifier: automatically reasons about transitivity chains
  4755 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  4756 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  4757 old proofs break occasionally as simplification may now solve more
  4758 goals than previously.
  4759 
  4760 * Simplifier: converts x <= y into x = y if assumption y <= x is
  4761 present.  Works for all partial orders (class "order"), in particular
  4762 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  4763 just like y <= x.
  4764 
  4765 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  4766 bound variable or a constant then the let is unfolded.  Otherwise
  4767 first a is simplified to b, and then f b is simplified to g. If
  4768 possible we abstract b from g arriving at "let x = b in h x",
  4769 otherwise we unfold the let and arrive at g.  The simproc can be
  4770 enabled/disabled by the reference use_let_simproc.  Potential
  4771 INCOMPATIBILITY since simplification is more powerful by default.
  4772 
  4773 * Classical reasoning: the meson method now accepts theorems as arguments.
  4774 
  4775 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  4776 jobs to provide advice on the provability of subgoals.
  4777 
  4778 * Theory OrderedGroup and Ring_and_Field: various additions and
  4779 improvements to faciliate calculations involving equalities and
  4780 inequalities.
  4781 
  4782 The following theorems have been eliminated or modified
  4783 (INCOMPATIBILITY):
  4784 
  4785   abs_eq             now named abs_of_nonneg
  4786   abs_of_ge_0        now named abs_of_nonneg
  4787   abs_minus_eq       now named abs_of_nonpos
  4788   imp_abs_id         now named abs_of_nonneg
  4789   imp_abs_neg_id     now named abs_of_nonpos
  4790   mult_pos           now named mult_pos_pos
  4791   mult_pos_le        now named mult_nonneg_nonneg
  4792   mult_pos_neg_le    now named mult_nonneg_nonpos
  4793   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  4794   mult_neg           now named mult_neg_neg
  4795   mult_neg_le        now named mult_nonpos_nonpos
  4796 
  4797 * The following lemmas in Ring_and_Field have been added to the simplifier:
  4798      
  4799      zero_le_square
  4800      not_square_less_zero 
  4801 
  4802   The following lemmas have been deleted from Real/RealPow:
  4803   
  4804      realpow_zero_zero
  4805      realpow_two
  4806      realpow_less
  4807      zero_le_power
  4808      realpow_two_le
  4809      abs_realpow_two
  4810      realpow_two_abs     
  4811 
  4812 * Theory Parity: added rules for simplifying exponents.
  4813 
  4814 * Theory List:
  4815 
  4816 The following theorems have been eliminated or modified
  4817 (INCOMPATIBILITY):
  4818 
  4819   list_all_Nil       now named list_all.simps(1)
  4820   list_all_Cons      now named list_all.simps(2)
  4821   list_all_conv      now named list_all_iff
  4822   set_mem_eq         now named mem_iff
  4823 
  4824 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  4825 asymptotic "big O" calculations.  See the notes in BigO.thy.
  4826 
  4827 
  4828 *** HOL-Complex ***
  4829 
  4830 * Theory RealDef: better support for embedding natural numbers and
  4831 integers in the reals.
  4832 
  4833 The following theorems have been eliminated or modified
  4834 (INCOMPATIBILITY):
  4835 
  4836   exp_ge_add_one_self  now requires no hypotheses
  4837   real_of_int_add      reversed direction of equality (use [symmetric])
  4838   real_of_int_minus    reversed direction of equality (use [symmetric])
  4839   real_of_int_diff     reversed direction of equality (use [symmetric])
  4840   real_of_int_mult     reversed direction of equality (use [symmetric])
  4841 
  4842 * Theory RComplete: expanded support for floor and ceiling functions.
  4843 
  4844 * Theory Ln is new, with properties of the natural logarithm
  4845 
  4846 * Hyperreal: There is a new type constructor "star" for making
  4847 nonstandard types.  The old type names are now type synonyms:
  4848 
  4849   hypreal = real star
  4850   hypnat = nat star
  4851   hcomplex = complex star
  4852 
  4853 * Hyperreal: Many groups of similarly-defined constants have been
  4854 replaced by polymorphic versions (INCOMPATIBILITY):
  4855 
  4856   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  4857 
  4858   starset      <-- starsetNat, starsetC
  4859   *s*          <-- *sNat*, *sc*
  4860   starset_n    <-- starsetNat_n, starsetC_n
  4861   *sn*         <-- *sNatn*, *scn*
  4862   InternalSets <-- InternalNatSets, InternalCSets
  4863 
  4864   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  4865   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  4866   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  4867   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  4868   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  4869 
  4870 * Hyperreal: Many type-specific theorems have been removed in favor of
  4871 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  4872 
  4873   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  4874   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  4875   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  4876   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  4877   right_minus <-- hypreal_add_minus
  4878   left_minus <-- {hypreal,hcomplex}_add_minus_left
  4879   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  4880   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  4881   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  4882   mult_1_right <-- hcomplex_mult_one_right
  4883   mult_zero_left <-- hcomplex_mult_zero_left
  4884   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  4885   right_distrib <-- hypnat_add_mult_distrib2
  4886   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  4887   right_inverse <-- hypreal_mult_inverse
  4888   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  4889   order_refl <-- {hypreal,hypnat}_le_refl
  4890   order_trans <-- {hypreal,hypnat}_le_trans
  4891   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  4892   order_less_le <-- {hypreal,hypnat}_less_le
  4893   linorder_linear <-- {hypreal,hypnat}_le_linear
  4894   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  4895   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  4896   add_nonneg_nonneg <-- hypreal_le_add_order
  4897 
  4898 * Hyperreal: Separate theorems having to do with type-specific
  4899 versions of constants have been merged into theorems that apply to the
  4900 new polymorphic constants (INCOMPATIBILITY):
  4901 
  4902   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  4903   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  4904   STAR_Un <-- {STAR,NatStar,STARC}_Un
  4905   STAR_Int <-- {STAR,NatStar,STARC}_Int
  4906   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  4907   STAR_subset <-- {STAR,NatStar,STARC}_subset
  4908   STAR_mem <-- {STAR,NatStar,STARC}_mem
  4909   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  4910   STAR_diff <-- {STAR,STARC}_diff
  4911   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  4912     STARC_hcomplex_of_complex}_image_subset
  4913   starset_n_Un <-- starset{Nat,C}_n_Un
  4914   starset_n_Int <-- starset{Nat,C}_n_Int
  4915   starset_n_Compl <-- starset{Nat,C}_n_Compl
  4916   starset_n_diff <-- starset{Nat,C}_n_diff
  4917   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  4918   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  4919   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  4920   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  4921   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  4922   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  4923   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  4924   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  4925   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  4926   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  4927   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  4928   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  4929   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  4930   starfun_diff <-- starfun{C,RC,CR}_diff
  4931   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  4932   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  4933   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  4934   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  4935   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  4936   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  4937   starfun_Id <-- starfunC_Id
  4938   starfun_approx <-- starfun{Nat,CR}_approx
  4939   starfun_capprox <-- starfun{C,RC}_capprox
  4940   starfun_abs <-- starfunNat_rabs
  4941   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  4942   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  4943   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  4944   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  4945   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  4946   starfun_add_approx <-- starfunCR_add_approx
  4947   starfun_inverse_inverse <-- starfunC_inverse_inverse
  4948   starfun_divide <-- starfun{C,CR,RC}_divide
  4949   starfun_n <-- starfun{Nat,C}_n
  4950   starfun_n_mult <-- starfun{Nat,C}_n_mult
  4951   starfun_n_add <-- starfun{Nat,C}_n_add
  4952   starfun_n_add_minus <-- starfunNat_n_add_minus
  4953   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4954   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4955   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4956 
  4957   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4958   star_n_minus <-- {hypreal,hcomplex}_minus
  4959   star_n_diff <-- {hypreal,hcomplex}_diff
  4960   star_n_mult <-- {hypreal,hcomplex}_mult
  4961   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4962   star_n_le <-- {hypreal,hypnat}_le
  4963   star_n_less <-- {hypreal,hypnat}_less
  4964   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4965   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4966   star_n_abs <-- hypreal_hrabs
  4967   star_n_divide <-- hcomplex_divide
  4968 
  4969   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4970   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4971   star_of_diff <-- hypreal_of_real_diff
  4972   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4973   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4974   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4975   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4976   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4977   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4978   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4979   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4980   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4981   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4982   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4983   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4984   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4985   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4986   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4987   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4988   star_of_power <-- hypreal_of_real_power
  4989   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4990 
  4991 * Hyperreal: new method "transfer" that implements the transfer
  4992 principle of nonstandard analysis. With a subgoal that mentions
  4993 nonstandard types like "'a star", the command "apply transfer"
  4994 replaces it with an equivalent one that mentions only standard types.
  4995 To be successful, all free variables must have standard types; non-
  4996 standard variables must have explicit universal quantifiers.
  4997 
  4998 * Hyperreal: A theory of Taylor series.
  4999 
  5000 
  5001 *** HOLCF ***
  5002 
  5003 * Discontinued special version of 'constdefs' (which used to support
  5004 continuous functions) in favor of the general Pure one with full
  5005 type-inference.
  5006 
  5007 * New simplification procedure for solving continuity conditions; it
  5008 is much faster on terms with many nested lambda abstractions (cubic
  5009 instead of exponential time).
  5010 
  5011 * New syntax for domain package: selector names are now optional.
  5012 Parentheses should be omitted unless argument is lazy, for example:
  5013 
  5014   domain 'a stream = cons "'a" (lazy "'a stream")
  5015 
  5016 * New command 'fixrec' for defining recursive functions with pattern
  5017 matching; defining multiple functions with mutual recursion is also
  5018 supported.  Patterns may include the constants cpair, spair, up, sinl,
  5019 sinr, or any data constructor defined by the domain package. The given
  5020 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  5021 syntax and examples.
  5022 
  5023 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  5024 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  5025 but the proof obligation additionally includes an admissibility
  5026 requirement. The packages generate instances of class cpo or pcpo,
  5027 with continuity and strictness theorems for Rep and Abs.
  5028 
  5029 * HOLCF: Many theorems have been renamed according to a more standard naming
  5030 scheme (INCOMPATIBILITY):
  5031 
  5032   foo_inject:  "foo$x = foo$y ==> x = y"
  5033   foo_eq:      "(foo$x = foo$y) = (x = y)"
  5034   foo_less:    "(foo$x << foo$y) = (x << y)"
  5035   foo_strict:  "foo$UU = UU"
  5036   foo_defined: "... ==> foo$x ~= UU"
  5037   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  5038 
  5039 
  5040 *** ZF ***
  5041 
  5042 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  5043 including the First Isomorphism Theorem (on quotienting by the kernel
  5044 of a homomorphism).
  5045 
  5046 * ZF/Simplifier: install second copy of type solver that actually
  5047 makes use of TC rules declared to Isar proof contexts (or locales);
  5048 the old version is still required for ML proof scripts.
  5049 
  5050 
  5051 *** Cube ***
  5052 
  5053 * Converted to Isar theory format; use locales instead of axiomatic
  5054 theories.
  5055 
  5056 
  5057 *** ML ***
  5058 
  5059 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  5060 for ||>, ||>>, |>>,
  5061 
  5062 * Pure/library.ML no longer defines its own option datatype, but uses
  5063 that of the SML basis, which has constructors NONE and SOME instead of
  5064 None and Some, as well as exception Option.Option instead of OPTION.
  5065 The functions the, if_none, is_some, is_none have been adapted
  5066 accordingly, while Option.map replaces apsome.
  5067 
  5068 * Pure/library.ML: the exception LIST has been given up in favour of
  5069 the standard exceptions Empty and Subscript, as well as
  5070 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  5071 superceded by the standard hd and tl functions etc.
  5072 
  5073 A number of basic list functions are no longer exported to the ML
  5074 toplevel, as they are variants of predefined functions.  The following
  5075 suggests how one can translate existing code:
  5076 
  5077     rev_append xs ys = List.revAppend (xs, ys)
  5078     nth_elem (i, xs) = List.nth (xs, i)
  5079     last_elem xs = List.last xs
  5080     flat xss = List.concat xss
  5081     seq fs = List.app fs
  5082     partition P xs = List.partition P xs
  5083     mapfilter f xs = List.mapPartial f xs
  5084 
  5085 * Pure/library.ML: several combinators for linear functional
  5086 transformations, notably reverse application and composition:
  5087 
  5088   x |> f                f #> g
  5089   (x, y) |-> f          f #-> g
  5090 
  5091 * Pure/library.ML: introduced/changed precedence of infix operators:
  5092 
  5093   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  5094   infix 2 ?;
  5095   infix 3 o oo ooo oooo;
  5096   infix 4 ~~ upto downto;
  5097 
  5098 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  5099 infix operators.
  5100 
  5101 * Pure/library.ML: natural list combinators fold, fold_rev, and
  5102 fold_map support linear functional transformations and nesting.  For
  5103 example:
  5104 
  5105   fold f [x1, ..., xN] y =
  5106     y |> f x1 |> ... |> f xN
  5107 
  5108   (fold o fold) f [xs1, ..., xsN] y =
  5109     y |> fold f xs1 |> ... |> fold f xsN
  5110 
  5111   fold f [x1, ..., xN] =
  5112     f x1 #> ... #> f xN
  5113 
  5114   (fold o fold) f [xs1, ..., xsN] =
  5115     fold f xs1 #> ... #> fold f xsN
  5116 
  5117 * Pure/library.ML: the following selectors on type 'a option are
  5118 available:
  5119 
  5120   the:               'a option -> 'a  (*partial*)
  5121   these:             'a option -> 'a  where 'a = 'b list
  5122   the_default: 'a -> 'a option -> 'a
  5123   the_list:          'a option -> 'a list
  5124 
  5125 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  5126 basic operations for association lists, following natural argument
  5127 order; moreover the explicit equality predicate passed here avoids
  5128 potentially expensive polymorphic runtime equality checks.
  5129 The old functions may be expressed as follows:
  5130 
  5131   assoc = uncurry (AList.lookup (op =))
  5132   assocs = these oo AList.lookup (op =)
  5133   overwrite = uncurry (AList.update (op =)) o swap
  5134 
  5135 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  5136 
  5137   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  5138   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  5139 
  5140 replacing make_keylist and keyfilter (occassionally used)
  5141 Naive rewrites:
  5142 
  5143   make_keylist = AList.make
  5144   keyfilter = AList.find (op =)
  5145 
  5146 * eq_fst and eq_snd now take explicit equality parameter, thus
  5147   avoiding eqtypes. Naive rewrites:
  5148 
  5149     eq_fst = eq_fst (op =)
  5150     eq_snd = eq_snd (op =)
  5151 
  5152 * Removed deprecated apl and apr (rarely used).
  5153   Naive rewrites:
  5154 
  5155     apl (n, op) =>>= curry op n
  5156     apr (op, m) =>>= fn n => op (n, m)
  5157 
  5158 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  5159 provides a reasonably efficient light-weight implementation of sets as
  5160 lists.
  5161 
  5162 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  5163 few new operations; existing lookup and update are now curried to
  5164 follow natural argument order (for use with fold etc.);
  5165 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  5166 
  5167 * Pure/General: output via the Isabelle channels of
  5168 writeln/warning/error etc. is now passed through Output.output, with a
  5169 hook for arbitrary transformations depending on the print_mode
  5170 (cf. Output.add_mode -- the first active mode that provides a output
  5171 function wins).  Already formatted output may be embedded into further
  5172 text via Output.raw; the result of Pretty.string_of/str_of and derived
  5173 functions (string_of_term/cterm/thm etc.) is already marked raw to
  5174 accommodate easy composition of diagnostic messages etc.  Programmers
  5175 rarely need to care about Output.output or Output.raw at all, with
  5176 some notable exceptions: Output.output is required when bypassing the
  5177 standard channels (writeln etc.), or in token translations to produce
  5178 properly formatted results; Output.raw is required when capturing
  5179 already output material that will eventually be presented to the user
  5180 a second time.  For the default print mode, both Output.output and
  5181 Output.raw have no effect.
  5182 
  5183 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  5184 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  5185 cumulative results are displayed at the end of a batch session.
  5186 
  5187 * Pure/General: File.sysify_path and File.quote_sysify path have been
  5188 replaced by File.platform_path and File.shell_path (with appropriate
  5189 hooks).  This provides a clean interface for unusual systems where the
  5190 internal and external process view of file names are different.
  5191 
  5192 * Pure: more efficient orders for basic syntactic entities: added
  5193 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  5194 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  5195 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  5196 orders now -- potential INCOMPATIBILITY for code that depends on a
  5197 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  5198 Library.sort_strings on result).
  5199 
  5200 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  5201 fold_types traverse types/terms from left to right, observing natural
  5202 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  5203 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  5204 
  5205 * Pure: name spaces have been refined, with significant changes of the
  5206 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  5207 to extern(_table).  The plain name entry path is superceded by a
  5208 general 'naming' context, which also includes the 'policy' to produce
  5209 a fully qualified name and external accesses of a fully qualified
  5210 name; NameSpace.extend is superceded by context dependent
  5211 Sign.declare_name.  Several theory and proof context operations modify
  5212 the naming context.  Especially note Theory.restore_naming and
  5213 ProofContext.restore_naming to get back to a sane state; note that
  5214 Theory.add_path is no longer sufficient to recover from
  5215 Theory.absolute_path in particular.
  5216 
  5217 * Pure: new flags short_names (default false) and unique_names
  5218 (default true) for controlling output of qualified names.  If
  5219 short_names is set, names are printed unqualified.  If unique_names is
  5220 reset, the name prefix is reduced to the minimum required to achieve
  5221 the original result when interning again, even if there is an overlap
  5222 with earlier declarations.
  5223 
  5224 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  5225 now 'extend', and 'merge' gets an additional Pretty.pp argument
  5226 (useful for printing error messages).  INCOMPATIBILITY.
  5227 
  5228 * Pure: major reorganization of the theory context.  Type Sign.sg and
  5229 Theory.theory are now identified, referring to the universal
  5230 Context.theory (see Pure/context.ML).  Actual signature and theory
  5231 content is managed as theory data.  The old code and interfaces were
  5232 spread over many files and structures; the new arrangement introduces
  5233 considerable INCOMPATIBILITY to gain more clarity:
  5234 
  5235   Context -- theory management operations (name, identity, inclusion,
  5236     parents, ancestors, merge, etc.), plus generic theory data;
  5237 
  5238   Sign -- logical signature and syntax operations (declaring consts,
  5239     types, etc.), plus certify/read for common entities;
  5240 
  5241   Theory -- logical theory operations (stating axioms, definitions,
  5242     oracles), plus a copy of logical signature operations (consts,
  5243     types, etc.); also a few basic management operations (Theory.copy,
  5244     Theory.merge, etc.)
  5245 
  5246 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  5247 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  5248 for convenience -- they merely return the theory.
  5249 
  5250 * Pure: type Type.tsig is superceded by theory in most interfaces.
  5251 
  5252 * Pure: the Isar proof context type is already defined early in Pure
  5253 as Context.proof (note that ProofContext.context and Proof.context are
  5254 aliases, where the latter is the preferred name).  This enables other
  5255 Isabelle components to refer to that type even before Isar is present.
  5256 
  5257 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  5258 typeK, constK, axiomK, oracleK), but provide explicit operations for
  5259 any of these kinds.  For example, Sign.intern typeK is now
  5260 Sign.intern_type, Theory.hide_space Sign.typeK is now
  5261 Theory.hide_types.  Also note that former
  5262 Theory.hide_classes/types/consts are now
  5263 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  5264 internalize their arguments!  INCOMPATIBILITY.
  5265 
  5266 * Pure: get_thm interface (of PureThy and ProofContext) expects
  5267 datatype thmref (with constructors Name and NameSelection) instead of
  5268 plain string -- INCOMPATIBILITY;
  5269 
  5270 * Pure: cases produced by proof methods specify options, where NONE
  5271 means to remove case bindings -- INCOMPATIBILITY in
  5272 (RAW_)METHOD_CASES.
  5273 
  5274 * Pure: the following operations retrieve axioms or theorems from a
  5275 theory node or theory hierarchy, respectively:
  5276 
  5277   Theory.axioms_of: theory -> (string * term) list
  5278   Theory.all_axioms_of: theory -> (string * term) list
  5279   PureThy.thms_of: theory -> (string * thm) list
  5280   PureThy.all_thms_of: theory -> (string * thm) list
  5281 
  5282 * Pure: print_tac now outputs the goal through the trace channel.
  5283 
  5284 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  5285 Reference Toplevel.debug (default false) controls detailed printing
  5286 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  5287 controls execution profiling -- set to 1 for time and 2 for space
  5288 (both increase the runtime).
  5289 
  5290 * Isar session: The initial use of ROOT.ML is now always timed,
  5291 i.e. the log will show the actual process times, in contrast to the
  5292 elapsed wall-clock time that the outer shell wrapper produces.
  5293 
  5294 * Simplifier: improved handling of bound variables (nameless
  5295 representation, avoid allocating new strings).  Simprocs that invoke
  5296 the Simplifier recursively should use Simplifier.inherit_bounds to
  5297 avoid local name clashes.  Failure to do so produces warnings
  5298 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  5299 for further details.
  5300 
  5301 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  5302 bindings for all theorems stored within a given theory; this may help
  5303 in porting non-Isar theories to Isar ones, while keeping ML proof
  5304 scripts for the time being.
  5305 
  5306 * ML operator HTML.with_charset specifies the charset begin used for
  5307 generated HTML files.  For example:
  5308 
  5309   HTML.with_charset "utf-8" use_thy "Hebrew";
  5310   HTML.with_charset "utf-8" use_thy "Chinese";
  5311 
  5312 
  5313 *** System ***
  5314 
  5315 * Allow symlinks to all proper Isabelle executables (Isabelle,
  5316 isabelle, isatool etc.).
  5317 
  5318 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  5319 isatool doc, isatool mkdir, display_drafts etc.).
  5320 
  5321 * isatool usedir: option -f allows specification of the ML file to be
  5322 used by Isabelle; default is ROOT.ML.
  5323 
  5324 * New isatool version outputs the version identifier of the Isabelle
  5325 distribution being used.
  5326 
  5327 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  5328 (containing Boolean satisfiability problems) into Isabelle/HOL
  5329 theories.
  5330 
  5331 
  5332 
  5333 New in Isabelle2004 (April 2004)
  5334 --------------------------------
  5335 
  5336 *** General ***
  5337 
  5338 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  5339   Replaces linorder.ML.
  5340 
  5341 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  5342   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  5343   (\<a>...\<z>), are now considered normal letters, and can therefore
  5344   be used anywhere where an ASCII letter (a...zA...Z) has until
  5345   now. COMPATIBILITY: This obviously changes the parsing of some
  5346   terms, especially where a symbol has been used as a binder, say
  5347   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  5348   as an identifier.  Fix it by inserting a space around former
  5349   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  5350   existing theory and ML files.
  5351 
  5352 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  5353 
  5354 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  5355   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  5356   a normal (but invisible) letter. For multiple letter subscripts repeat
  5357   \<^isub> like this: x\<^isub>1\<^isub>2.
  5358 
  5359 * Pure: There are now sub-/superscripts that can span more than one
  5360   character. Text between \<^bsub> and \<^esub> is set in subscript in
  5361   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  5362   superscript. The new control characters are not identifier parts.
  5363 
  5364 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  5365   content of "..." to the latex file instead of \isacntrl... . The "..."
  5366   may consist of any printable characters excluding the end bracket >.
  5367 
  5368 * Pure: Using new Isar command "finalconsts" (or the ML functions
  5369   Theory.add_finals or Theory.add_finals_i) it is now possible to
  5370   declare constants "final", which prevents their being given a definition
  5371   later.  It is useful for constants whose behaviour is fixed axiomatically
  5372   rather than definitionally, such as the meta-logic connectives.
  5373 
  5374 * Pure: 'instance' now handles general arities with general sorts
  5375   (i.e. intersections of classes),
  5376 
  5377 * Presentation: generated HTML now uses a CSS style sheet to make layout
  5378   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  5379   It can be changed to alter the colors/layout of generated pages.
  5380 
  5381 
  5382 *** Isar ***
  5383 
  5384 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  5385   cut_tac, subgoal_tac and thin_tac:
  5386   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  5387     locales are no longer forced to write Isar proof scripts.
  5388     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  5389     emulations.
  5390   - INCOMPATIBILITY: names of variables to be instantiated may no
  5391     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  5392     This is consistent with the instantiation attribute "where".
  5393 
  5394 * Attributes "where" and "of":
  5395   - Now take type variables of instantiated theorem into account when reading
  5396     the instantiation string.  This fixes a bug that caused instantiated
  5397     theorems to have too special types in some circumstances.
  5398   - "where" permits explicit instantiations of type variables.
  5399 
  5400 * Calculation commands "moreover" and "also" no longer interfere with
  5401   current facts ("this"), admitting arbitrary combinations with "then"
  5402   and derived forms.
  5403 
  5404 * Locales:
  5405   - Goal statements involving the context element "includes" no longer
  5406     generate theorems with internal delta predicates (those ending on
  5407     "_axioms") in the premise.
  5408     Resolve particular premise with <locale>.intro to obtain old form.
  5409   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  5410     specification and "includes" elements in goal statement.
  5411   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  5412     [intro?] and [elim?] (respectively) by default.
  5413   - Experimental command for instantiation of locales in proof contexts:
  5414         instantiate <label>[<attrs>]: <loc>
  5415     Instantiates locale <loc> and adds all its theorems to the current context
  5416     taking into account their attributes.  Label and attrs are optional
  5417     modifiers, like in theorem declarations.  If present, names of
  5418     instantiated theorems are qualified with <label>, and the attributes
  5419     <attrs> are applied after any attributes these theorems might have already.
  5420       If the locale has assumptions, a chained fact of the form
  5421     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  5422     are derived.  The command does not support old-style locales declared
  5423     with "locale (open)".
  5424       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  5425 
  5426 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  5427   (Isar) contexts.
  5428 
  5429 
  5430 *** HOL ***
  5431 
  5432 * Proof import: new image HOL4 contains the imported library from
  5433   the HOL4 system with about 2500 theorems. It is imported by
  5434   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  5435   can be used like any other Isabelle image.  See
  5436   HOL/Import/HOL/README for more information.
  5437 
  5438 * Simplifier:
  5439   - Much improved handling of linear and partial orders.
  5440     Reasoners for linear and partial orders are set up for type classes
  5441     "linorder" and "order" respectively, and are added to the default simpset
  5442     as solvers.  This means that the simplifier can build transitivity chains
  5443     to solve goals from the assumptions.
  5444   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  5445     of blast or auto after simplification become unnecessary because the goal
  5446     is solved by simplification already.
  5447 
  5448 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  5449     all proved in axiomatic type classes for semirings, rings and fields.
  5450 
  5451 * Numerics:
  5452   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  5453     now formalized using the Ring_and_Field theory mentioned above.
  5454   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  5455     than before, because now they are set up once in a generic manner.
  5456   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  5457     Look for the general versions in Ring_and_Field (and Power if they concern
  5458     exponentiation).
  5459 
  5460 * Type "rat" of the rational numbers is now available in HOL-Complex.
  5461 
  5462 * Records:
  5463   - Record types are now by default printed with their type abbreviation
  5464     instead of the list of all field types. This can be configured via
  5465     the reference "print_record_type_abbr".
  5466   - Simproc "record_upd_simproc" for simplification of multiple updates added
  5467     (not enabled by default).
  5468   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  5469     EX x. x = sel r to True (not enabled by default).
  5470   - Tactic "record_split_simp_tac" to split and simplify records added.
  5471 
  5472 * 'specification' command added, allowing for definition by
  5473   specification.  There is also an 'ax_specification' command that
  5474   introduces the new constants axiomatically.
  5475 
  5476 * arith(_tac) is now able to generate counterexamples for reals as well.
  5477 
  5478 * HOL-Algebra: new locale "ring" for non-commutative rings.
  5479 
  5480 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  5481   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  5482 
  5483 * HOL-Matrix: a first theory for matrices in HOL with an application of
  5484   matrix theory to linear programming.
  5485 
  5486 * Unions and Intersections:
  5487   The latex output syntax of UN and INT has been changed
  5488   from "\Union x \in A. B" to "\Union_{x \in A} B"
  5489   i.e. the index formulae has become a subscript.
  5490   Similarly for "\Union x. B", and for \Inter instead of \Union.
  5491 
  5492 * Unions and Intersections over Intervals:
  5493   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  5494   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  5495   like in normal math, and corresponding versions for < and for intersection.
  5496 
  5497 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  5498   lexicographic dictonary ordering has been added as "lexord".
  5499 
  5500 * ML: the legacy theory structures Int and List have been removed. They had
  5501   conflicted with ML Basis Library structures having the same names.
  5502 
  5503 * 'refute' command added to search for (finite) countermodels.  Only works
  5504   for a fragment of HOL.  The installation of an external SAT solver is
  5505   highly recommended.  See "HOL/Refute.thy" for details.
  5506 
  5507 * 'quickcheck' command: Allows to find counterexamples by evaluating
  5508   formulae under an assignment of free variables to random values.
  5509   In contrast to 'refute', it can deal with inductive datatypes,
  5510   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  5511   for examples.
  5512 
  5513 
  5514 *** HOLCF ***
  5515 
  5516 * Streams now come with concatenation and are part of the HOLCF image
  5517 
  5518 
  5519 
  5520 New in Isabelle2003 (May 2003)
  5521 ------------------------------
  5522 
  5523 *** General ***
  5524 
  5525 * Provers/simplifier:
  5526 
  5527   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  5528     Assumptions are now subject to complete mutual simplification,
  5529     not just from left to right. The simplifier now preserves
  5530     the order of assumptions.
  5531 
  5532     Potential INCOMPATIBILITY:
  5533 
  5534     -- simp sometimes diverges where the old version did
  5535        not, e.g. invoking simp on the goal
  5536 
  5537         [| P (f x); y = x; f x = f y |] ==> Q
  5538 
  5539        now gives rise to the infinite reduction sequence
  5540 
  5541         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  5542 
  5543        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  5544        kind of problem.
  5545 
  5546     -- Tactics combining classical reasoner and simplification (such as auto)
  5547        are also affected by this change, because many of them rely on
  5548        simp. They may sometimes diverge as well or yield a different numbers
  5549        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  5550        in case of problems. Sometimes subsequent calls to the classical
  5551        reasoner will fail because a preceeding call to the simplifier too
  5552        eagerly simplified the goal, e.g. deleted redundant premises.
  5553 
  5554   - The simplifier trace now shows the names of the applied rewrite rules
  5555 
  5556   - You can limit the number of recursive invocations of the simplifier
  5557     during conditional rewriting (where the simplifie tries to solve the
  5558     conditions before applying the rewrite rule):
  5559     ML "simp_depth_limit := n"
  5560     where n is an integer. Thus you can force termination where previously
  5561     the simplifier would diverge.
  5562 
  5563   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  5564 
  5565   - No longer aborts on failed congruence proof.  Instead, the
  5566     congruence is ignored.
  5567 
  5568 * Pure: New generic framework for extracting programs from constructive
  5569   proofs. See HOL/Extraction.thy for an example instantiation, as well
  5570   as HOL/Extraction for some case studies.
  5571 
  5572 * Pure: The main goal of the proof state is no longer shown by default, only
  5573 the subgoals. This behaviour is controlled by a new flag.
  5574    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  5575 (ML: Proof.show_main_goal).
  5576 
  5577 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  5578 rules whose conclusion matches subgoal 1:
  5579       PG menu: Isabelle/Isar -> Show me -> matching rules
  5580 The rules are ordered by how closely they match the subgoal.
  5581 In particular, rules that solve a subgoal outright are displayed first
  5582 (or rather last, the way they are printed).
  5583 (ML: ProofGeneral.print_intros())
  5584 
  5585 * Pure: New flag trace_unify_fail causes unification to print
  5586 diagnostic information (PG: in trace buffer) when it fails. This is
  5587 useful for figuring out why single step proofs like rule, erule or
  5588 assumption failed.
  5589 
  5590 * Pure: Locale specifications now produce predicate definitions
  5591 according to the body of text (covering assumptions modulo local
  5592 definitions); predicate "loc_axioms" covers newly introduced text,
  5593 while "loc" is cumulative wrt. all included locale expressions; the
  5594 latter view is presented only on export into the global theory
  5595 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  5596 on the old view without predicates;
  5597 
  5598 * Pure: predefined locales "var" and "struct" are useful for sharing
  5599 parameters (as in CASL, for example); just specify something like
  5600 ``var x + var y + struct M'' as import;
  5601 
  5602 * Pure: improved thms_containing: proper indexing of facts instead of
  5603 raw theorems; check validity of results wrt. current name space;
  5604 include local facts of proof configuration (also covers active
  5605 locales), cover fixed variables in index; may use "_" in term
  5606 specification; an optional limit for the number of printed facts may
  5607 be given (the default is 40);
  5608 
  5609 * Pure: disallow duplicate fact bindings within new-style theory files
  5610 (batch-mode only);
  5611 
  5612 * Provers: improved induct method: assumptions introduced by case
  5613 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  5614 the goal statement); "foo" still refers to all facts collectively;
  5615 
  5616 * Provers: the function blast.overloaded has been removed: all constants
  5617 are regarded as potentially overloaded, which improves robustness in exchange
  5618 for slight decrease in efficiency;
  5619 
  5620 * Provers/linorder: New generic prover for transitivity reasoning over
  5621 linear orders.  Note: this prover is not efficient!
  5622 
  5623 * Isar: preview of problems to finish 'show' now produce an error
  5624 rather than just a warning (in interactive mode);
  5625 
  5626 
  5627 *** HOL ***
  5628 
  5629 * arith(_tac)
  5630 
  5631  - Produces a counter example if it cannot prove a goal.
  5632    Note that the counter example may be spurious if the goal is not a formula
  5633    of quantifier-free linear arithmetic.
  5634    In ProofGeneral the counter example appears in the trace buffer.
  5635 
  5636  - Knows about div k and mod k where k is a numeral of type nat or int.
  5637 
  5638  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  5639    linear arithmetic fails. This takes account of quantifiers and divisibility.
  5640    Presburger arithmetic can also be called explicitly via presburger(_tac).
  5641 
  5642 * simp's arithmetic capabilities have been enhanced a bit: it now
  5643 takes ~= in premises into account (by performing a case split);
  5644 
  5645 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  5646 are distributed over a sum of terms;
  5647 
  5648 * New tactic "trans_tac" and method "trans" instantiate
  5649 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  5650 "<=", "<" and "=").
  5651 
  5652 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  5653 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  5654 
  5655 * 'typedef' command has new option "open" to suppress the set
  5656 definition;
  5657 
  5658 * functions Min and Max on finite sets have been introduced (theory
  5659 Finite_Set);
  5660 
  5661 * attribute [symmetric] now works for relations as well; it turns
  5662 (x,y) : R^-1 into (y,x) : R, and vice versa;
  5663 
  5664 * induct over a !!-quantified statement (say !!x1..xn):
  5665   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  5666 
  5667 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  5668 %x. None. Warning: empty_def now refers to the previously hidden definition
  5669 of the empty set.
  5670 
  5671 * Algebra: formalization of classical algebra.  Intended as base for
  5672 any algebraic development in Isabelle.  Currently covers group theory
  5673 (up to Sylow's theorem) and ring theory (Universal Property of
  5674 Univariate Polynomials).  Contributions welcome;
  5675 
  5676 * GroupTheory: deleted, since its material has been moved to Algebra;
  5677 
  5678 * Complex: new directory of the complex numbers with numeric constants,
  5679 nonstandard complex numbers, and some complex analysis, standard and
  5680 nonstandard (Jacques Fleuriot);
  5681 
  5682 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  5683 
  5684 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  5685 Fleuriot);
  5686 
  5687 * Real/HahnBanach: updated and adapted to locales;
  5688 
  5689 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  5690 Gray and Kramer);
  5691 
  5692 * UNITY: added the Meier-Sanders theory of progress sets;
  5693 
  5694 * MicroJava: bytecode verifier and lightweight bytecode verifier
  5695 as abstract algorithms, instantiated to the JVM;
  5696 
  5697 * Bali: Java source language formalization. Type system, operational
  5698 semantics, axiomatic semantics. Supported language features:
  5699 classes, interfaces, objects,virtual methods, static methods,
  5700 static/instance fields, arrays, access modifiers, definite
  5701 assignment, exceptions.
  5702 
  5703 
  5704 *** ZF ***
  5705 
  5706 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  5707 universe, etc.);
  5708 
  5709 * Main ZF: virtually all theories converted to new-style format;
  5710 
  5711 
  5712 *** ML ***
  5713 
  5714 * Pure: Tactic.prove provides sane interface for internal proofs;
  5715 omits the infamous "standard" operation, so this is more appropriate
  5716 than prove_goalw_cterm in many situations (e.g. in simprocs);
  5717 
  5718 * Pure: improved error reporting of simprocs;
  5719 
  5720 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  5721 up simprocs;
  5722 
  5723 
  5724 *** Document preparation ***
  5725 
  5726 * uses \par instead of \\ for line breaks in theory text. This may
  5727 shift some page breaks in large documents. To get the old behaviour
  5728 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  5729 
  5730 * minimized dependencies of isabelle.sty and isabellesym.sty on
  5731 other packages
  5732 
  5733 * \<euro> now needs package babel/greek instead of marvosym (which
  5734 broke \Rightarrow)
  5735 
  5736 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  5737 textcomp package)
  5738 
  5739 
  5740 
  5741 New in Isabelle2002 (March 2002)
  5742 --------------------------------
  5743 
  5744 *** Document preparation ***
  5745 
  5746 * greatly simplified document preparation setup, including more
  5747 graceful interpretation of isatool usedir -i/-d/-D options, and more
  5748 instructive isatool mkdir; users should basically be able to get
  5749 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  5750 users may run a separate document processing stage manually like this:
  5751 "isatool usedir -D output HOL Test && isatool document Test/output";
  5752 
  5753 * theory dependency graph may now be incorporated into documents;
  5754 isatool usedir -g true will produce session_graph.eps/.pdf for use
  5755 with \includegraphics of LaTeX;
  5756 
  5757 * proper spacing of consecutive markup elements, especially text
  5758 blocks after section headings;
  5759 
  5760 * support bold style (for single symbols only), input syntax is like
  5761 this: "\<^bold>\<alpha>" or "\<^bold>A";
  5762 
  5763 * \<bullet> is now output as bold \cdot by default, which looks much
  5764 better in printed text;
  5765 
  5766 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  5767 note that these symbols are currently unavailable in Proof General /
  5768 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  5769 
  5770 * isatool latex no longer depends on changed TEXINPUTS, instead
  5771 isatool document copies the Isabelle style files to the target
  5772 location;
  5773 
  5774 
  5775 *** Isar ***
  5776 
  5777 * Pure/Provers: improved proof by cases and induction;
  5778   - 'case' command admits impromptu naming of parameters (such as
  5779     "case (Suc n)");
  5780   - 'induct' method divinates rule instantiation from the inductive
  5781     claim; no longer requires excessive ?P bindings for proper
  5782     instantiation of cases;
  5783   - 'induct' method properly enumerates all possibilities of set/type
  5784     rules; as a consequence facts may be also passed through *type*
  5785     rules without further ado;
  5786   - 'induct' method now derives symbolic cases from the *rulified*
  5787     rule (before it used to rulify cases stemming from the internal
  5788     atomized version); this means that the context of a non-atomic
  5789     statement becomes is included in the hypothesis, avoiding the
  5790     slightly cumbersome show "PROP ?case" form;
  5791   - 'induct' may now use elim-style induction rules without chaining
  5792     facts, using ``missing'' premises from the goal state; this allows
  5793     rules stemming from inductive sets to be applied in unstructured
  5794     scripts, while still benefitting from proper handling of non-atomic
  5795     statements; NB: major inductive premises need to be put first, all
  5796     the rest of the goal is passed through the induction;
  5797   - 'induct' proper support for mutual induction involving non-atomic
  5798     rule statements (uses the new concept of simultaneous goals, see
  5799     below);
  5800   - append all possible rule selections, but only use the first
  5801     success (no backtracking);
  5802   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  5803   - undeclared rule case names default to numbers 1, 2, 3, ...;
  5804   - added 'print_induct_rules' (covered by help item in recent Proof
  5805     General versions);
  5806   - moved induct/cases attributes to Pure, methods to Provers;
  5807   - generic method setup instantiated for FOL and HOL;
  5808 
  5809 * Pure: support multiple simultaneous goal statements, for example
  5810 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  5811 meta-level mechanism, this acts as if several individual goals had
  5812 been stated separately; in particular common proof methods need to be
  5813 repeated in order to cover all claims; note that a single elimination
  5814 step is *not* sufficient to establish the two conjunctions, so this
  5815 fails:
  5816 
  5817   assume "A & B" then have A and B ..   (*".." fails*)
  5818 
  5819 better use "obtain" in situations as above; alternative refer to
  5820 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  5821 
  5822 * Pure: proper integration with ``locales''; unlike the original
  5823 version by Florian Kammller, Isar locales package high-level proof
  5824 contexts rather than raw logical ones (e.g. we admit to include
  5825 attributes everywhere); operations on locales include merge and
  5826 rename; support for implicit arguments (``structures''); simultaneous
  5827 type-inference over imports and text; see also HOL/ex/Locales.thy for
  5828 some examples;
  5829 
  5830 * Pure: the following commands have been ``localized'', supporting a
  5831 target locale specification "(in name)": 'lemma', 'theorem',
  5832 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  5833 stored both within the locale and at the theory level (exported and
  5834 qualified by the locale name);
  5835 
  5836 * Pure: theory goals may now be specified in ``long'' form, with
  5837 ad-hoc contexts consisting of arbitrary locale elements. for example
  5838 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  5839 definitions may be given, too); the result is a meta-level rule with
  5840 the context elements being discharged in the obvious way;
  5841 
  5842 * Pure: new proof command 'using' allows to augment currently used
  5843 facts after a goal statement ('using' is syntactically analogous to
  5844 'apply', but acts on the goal's facts only); this allows chained facts
  5845 to be separated into parts given before and after a claim, as in
  5846 ``from a and b have C using d and e <proof>'';
  5847 
  5848 * Pure: renamed "antecedent" case to "rule_context";
  5849 
  5850 * Pure: new 'judgment' command records explicit information about the
  5851 object-logic embedding (used by several tools internally); no longer
  5852 use hard-wired "Trueprop";
  5853 
  5854 * Pure: added 'corollary' command;
  5855 
  5856 * Pure: fixed 'token_translation' command;
  5857 
  5858 * Pure: removed obsolete 'exported' attribute;
  5859 
  5860 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  5861 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  5862 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  5863 
  5864 * Pure: method 'atomize' presents local goal premises as object-level
  5865 statements (atomic meta-level propositions); setup controlled via
  5866 rewrite rules declarations of 'atomize' attribute; example
  5867 application: 'induct' method with proper rule statements in improper
  5868 proof *scripts*;
  5869 
  5870 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  5871 now consider the syntactic context of assumptions, giving a better
  5872 chance to get type-inference of the arguments right (this is
  5873 especially important for locales);
  5874 
  5875 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  5876 mode;
  5877 
  5878 * Pure/obtain: the formal conclusion "thesis", being marked as
  5879 ``internal'', may no longer be reference directly in the text;
  5880 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  5881 situations;
  5882 
  5883 * Pure: generic 'sym' attribute which declares a rule both as pure
  5884 'elim?' and for the 'symmetric' operation;
  5885 
  5886 * Pure: marginal comments ``--'' may now occur just anywhere in the
  5887 text; the fixed correlation with particular command syntax has been
  5888 discontinued;
  5889 
  5890 * Pure: new method 'rules' is particularly well-suited for proof
  5891 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  5892 but often produces more compact proof terms with less detours;
  5893 
  5894 * Pure/Provers/classical: simplified integration with pure rule
  5895 attributes and methods; the classical "intro?/elim?/dest?"
  5896 declarations coincide with the pure ones; the "rule" method no longer
  5897 includes classically swapped intros; "intro" and "elim" methods no
  5898 longer pick rules from the context; also got rid of ML declarations
  5899 AddXIs/AddXEs/AddXDs; all of this has some potential for
  5900 INCOMPATIBILITY;
  5901 
  5902 * Provers/classical: attribute 'swapped' produces classical inversions
  5903 of introduction rules;
  5904 
  5905 * Provers/simplifier: 'simplified' attribute may refer to explicit
  5906 rules instead of full simplifier context; 'iff' attribute handles
  5907 conditional rules;
  5908 
  5909 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  5910 
  5911 * HOL: 'recdef' now fails on unfinished automated proofs, use
  5912 "(permissive)" option to recover old behavior;
  5913 
  5914 * HOL: 'inductive' no longer features separate (collective) attributes
  5915 for 'intros' (was found too confusing);
  5916 
  5917 * HOL: properly declared induction rules less_induct and
  5918 wf_induct_rule;
  5919 
  5920 
  5921 *** HOL ***
  5922 
  5923 * HOL: moved over to sane numeral syntax; the new policy is as
  5924 follows:
  5925 
  5926   - 0 and 1 are polymorphic constants, which are defined on any
  5927   numeric type (nat, int, real etc.);
  5928 
  5929   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  5930   binary representation internally;
  5931 
  5932   - type nat has special constructor Suc, and generally prefers Suc 0
  5933   over 1::nat and Suc (Suc 0) over 2::nat;
  5934 
  5935 This change may cause significant problems of INCOMPATIBILITY; here
  5936 are some hints on converting existing sources:
  5937 
  5938   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  5939   entities, so expressions involving "-" (unary or binary minus) need
  5940   to be spaced properly;
  5941 
  5942   - existing occurrences of "1" may need to be constraint "1::nat" or
  5943   even replaced by Suc 0; similar for old "2";
  5944 
  5945   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  5946 
  5947   - remove all special provisions on numerals in proofs;
  5948 
  5949 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  5950 representation (depends on bin_arith_simps in the default context);
  5951 
  5952 * HOL: symbolic syntax for x^2 (numeral 2);
  5953 
  5954 * HOL: the class of all HOL types is now called "type" rather than
  5955 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5956 in axclass/classes, instance/arities, and (usually rare) occurrences
  5957 in typings (of consts etc.); internally the class is called
  5958 "HOL.type", ML programs should refer to HOLogic.typeS;
  5959 
  5960 * HOL/record package improvements:
  5961   - new derived operations "fields" to build a partial record section,
  5962     "extend" to promote a fixed record to a record scheme, and
  5963     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5964     declared as simp by default;
  5965   - shared operations ("more", "fields", etc.) now need to be always
  5966     qualified) --- potential INCOMPATIBILITY;
  5967   - removed "make_scheme" operations (use "make" with "extend") --
  5968     INCOMPATIBILITY;
  5969   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5970   - provides cases/induct rules for use with corresponding Isar
  5971     methods (for concrete records, record schemes, concrete more
  5972     parts, and schematic more parts -- in that order);
  5973   - internal definitions directly based on a light-weight abstract
  5974     theory of product types over typedef rather than datatype;
  5975 
  5976 * HOL: generic code generator for generating executable ML code from
  5977 specifications; specific support for HOL constructs such as inductive
  5978 datatypes and sets, as well as recursive functions; can be invoked
  5979 via 'generate_code' theory section;
  5980 
  5981 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5982 
  5983 * HOL: consolidated and renamed several theories.  In particular:
  5984         Ord.thy has been absorbed into HOL.thy
  5985         String.thy has been absorbed into List.thy
  5986 
  5987 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5988 (beware of argument permutation!);
  5989 
  5990 * HOL: linorder_less_split superseded by linorder_cases;
  5991 
  5992 * HOL/List: "nodups" renamed to "distinct";
  5993 
  5994 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5995 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5996   - Ex_def has changed, now need to use some_eq_ex
  5997 
  5998 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5999 in this (rare) case use:
  6000 
  6001   delSWrapper "split_all_tac"
  6002   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  6003 
  6004 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  6005 MAY FAIL;
  6006 
  6007 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  6008 Isabelle's type classes, ^ on functions and relations has too general
  6009 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  6010 necessary to attach explicit type constraints;
  6011 
  6012 * HOL/Relation: the prefix name of the infix "O" has been changed from
  6013 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  6014 renamed accordingly (eg "compI" -> "rel_compI").
  6015 
  6016 * HOL: syntax translations now work properly with numerals and records
  6017 expressions;
  6018 
  6019 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  6020 of "lam" -- INCOMPATIBILITY;
  6021 
  6022 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  6023 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  6024 renamed "Product_Type.unit";
  6025 
  6026 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  6027 
  6028 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  6029 the "cases" method);
  6030 
  6031 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  6032 Florian Kammller);
  6033 
  6034 * HOL/IMP: updated and converted to new-style theory format; several
  6035 parts turned into readable document, with proper Isar proof texts and
  6036 some explanations (by Gerwin Klein);
  6037 
  6038 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  6039 
  6040 * HOL-Hyperreal is now a logic image;
  6041 
  6042 
  6043 *** HOLCF ***
  6044 
  6045 * Isar: consts/constdefs supports mixfix syntax for continuous
  6046 operations;
  6047 
  6048 * Isar: domain package adapted to new-style theory format, e.g. see
  6049 HOLCF/ex/Dnat.thy;
  6050 
  6051 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  6052 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  6053 lift.induct_tac, always use UU instead of Undef;
  6054 
  6055 * HOLCF/IMP: updated and converted to new-style theory;
  6056 
  6057 
  6058 *** ZF ***
  6059 
  6060 * Isar: proper integration of logic-specific tools and packages,
  6061 including theory commands '(co)inductive', '(co)datatype',
  6062 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  6063 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  6064 
  6065 * theory Main no longer includes AC; for the Axiom of Choice, base
  6066 your theory on Main_ZFC;
  6067 
  6068 * the integer library now covers quotients and remainders, with many
  6069 laws relating division to addition, multiplication, etc.;
  6070 
  6071 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  6072 typeless version of the formalism;
  6073 
  6074 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  6075 format;
  6076 
  6077 * ZF/Induct: new directory for examples of inductive definitions,
  6078 including theory Multiset for multiset orderings; converted to
  6079 new-style theory format;
  6080 
  6081 * ZF: many new theorems about lists, ordinals, etc.;
  6082 
  6083 
  6084 *** General ***
  6085 
  6086 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  6087 variable proof controls level of detail: 0 = no proofs (only oracle
  6088 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  6089 also ref manual for further ML interfaces;
  6090 
  6091 * Pure/axclass: removed obsolete ML interface
  6092 goal_subclass/goal_arity;
  6093 
  6094 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  6095 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  6096 separate tokens, so expressions involving minus need to be spaced
  6097 properly;
  6098 
  6099 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  6100 rather than "infixl" or "infixr";
  6101 
  6102 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  6103 sort constraint specifications in type inference; e.g. "x::_::foo"
  6104 ensures that the type of "x" is of sort "foo" (but not necessarily a
  6105 type variable);
  6106 
  6107 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  6108 control output of nested => (types); the default behavior is
  6109 "type_brackets";
  6110 
  6111 * Pure/syntax: builtin parse translation for "_constify" turns valued
  6112 tokens into AST constants;
  6113 
  6114 * Pure/syntax: prefer later declarations of translations and print
  6115 translation functions; potential INCOMPATIBILITY: need to reverse
  6116 multiple declarations for same syntax element constant;
  6117 
  6118 * Pure/show_hyps reset by default (in accordance to existing Isar
  6119 practice);
  6120 
  6121 * Provers/classical: renamed addaltern to addafter, addSaltern to
  6122 addSafter;
  6123 
  6124 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  6125 as well;
  6126 
  6127 * system: tested support for MacOS X; should be able to get Isabelle +
  6128 Proof General to work in a plain Terminal after installing Poly/ML
  6129 (e.g. from the Isabelle distribution area) and GNU bash alone
  6130 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  6131 support requires further installations, e.g. from
  6132 http://fink.sourceforge.net/);
  6133 
  6134 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  6135 
  6136 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  6137 of 40 MB), cf. ML_OPTIONS;
  6138 
  6139 * system: Proof General keywords specification is now part of the
  6140 Isabelle distribution (see etc/isar-keywords.el);
  6141 
  6142 * system: support for persistent Proof General sessions (refrain from
  6143 outdating all loaded theories on startup); user may create writable
  6144 logic images like this: ``isabelle -q HOL Test'';
  6145 
  6146 * system: smart selection of Isabelle process versus Isabelle
  6147 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  6148 run both "isabelle" and "Isabelle" even if file names are badly
  6149 damaged (executable inspects the case of the first letter of its own
  6150 name); added separate "isabelle-process" and "isabelle-interface";
  6151 
  6152 * system: refrain from any attempt at filtering input streams; no
  6153 longer support ``8bit'' encoding of old isabelle font, instead proper
  6154 iso-latin characters may now be used; the related isatools
  6155 "symbolinput" and "nonascii" have disappeared as well;
  6156 
  6157 * system: removed old "xterm" interface (the print modes "xterm" and
  6158 "xterm_color" are still available for direct use in a suitable
  6159 terminal);
  6160 
  6161 
  6162 
  6163 New in Isabelle99-2 (February 2001)
  6164 -----------------------------------
  6165 
  6166 *** Overview of INCOMPATIBILITIES ***
  6167 
  6168 * HOL: please note that theories in the Library and elsewhere often use the
  6169 new-style (Isar) format; to refer to their theorems in an ML script you must
  6170 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  6171 
  6172 * HOL: inductive package no longer splits induction rule aggressively,
  6173 but only as far as specified by the introductions given; the old
  6174 format may be recovered via ML function complete_split_rule or attribute
  6175 'split_rule (complete)';
  6176 
  6177 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  6178 gfp_Tarski to gfp_unfold;
  6179 
  6180 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  6181 
  6182 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  6183 relation); infix "^^" has been renamed "``"; infix "``" has been
  6184 renamed "`"; "univalent" has been renamed "single_valued";
  6185 
  6186 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  6187 operation;
  6188 
  6189 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  6190 
  6191 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  6192 
  6193 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  6194 consequence, it is no longer monotonic wrt. the local goal context
  6195 (which is now passed through the inductive cases);
  6196 
  6197 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  6198 \<gg> to \<ggreater>;
  6199 
  6200 
  6201 *** Document preparation ***
  6202 
  6203 * \isabellestyle{NAME} selects version of Isabelle output (currently
  6204 available: are "it" for near math-mode best-style output, "sl" for
  6205 slanted text style, and "tt" for plain type-writer; if no
  6206 \isabellestyle command is given, output is according to slanted
  6207 type-writer);
  6208 
  6209 * support sub/super scripts (for single symbols only), input syntax is
  6210 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  6211 
  6212 * some more standard symbols; see Appendix A of the system manual for
  6213 the complete list of symbols defined in isabellesym.sty;
  6214 
  6215 * improved isabelle style files; more abstract symbol implementation
  6216 (should now use \isamath{...} and \isatext{...} in custom symbol
  6217 definitions);
  6218 
  6219 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  6220 state; Note that presentation of goal states does not conform to
  6221 actual human-readable proof documents.  Please do not include goal
  6222 states into document output unless you really know what you are doing!
  6223 
  6224 * proper indentation of antiquoted output with proportional LaTeX
  6225 fonts;
  6226 
  6227 * no_document ML operator temporarily disables LaTeX document
  6228 generation;
  6229 
  6230 * isatool unsymbolize tunes sources for plain ASCII communication;
  6231 
  6232 
  6233 *** Isar ***
  6234 
  6235 * Pure: Isar now suffers initial goal statements to contain unbound
  6236 schematic variables (this does not conform to actual readable proof
  6237 documents, due to unpredictable outcome and non-compositional proof
  6238 checking); users who know what they are doing may use schematic goals
  6239 for Prolog-style synthesis of proven results;
  6240 
  6241 * Pure: assumption method (an implicit finishing) now handles actual
  6242 rules as well;
  6243 
  6244 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  6245 initial goal, declare "that" only as Pure intro (only for single
  6246 steps); the "that" rule assumption may now be involved in implicit
  6247 finishing, thus ".." becomes a feasible for trivial obtains;
  6248 
  6249 * Pure: default proof step now includes 'intro_classes'; thus trivial
  6250 instance proofs may be performed by "..";
  6251 
  6252 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  6253 statements as well;
  6254 
  6255 * Pure: more robust selection of calculational rules;
  6256 
  6257 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  6258 rule (as well as the assumption rule);
  6259 
  6260 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  6261 lemmas, using the graph browser tool;
  6262 
  6263 * Pure: predict failure of "show" in interactive mode;
  6264 
  6265 * Pure: 'thms_containing' now takes actual terms as arguments;
  6266 
  6267 * HOL: improved method 'induct' --- now handles non-atomic goals
  6268 (potential INCOMPATIBILITY); tuned error handling;
  6269 
  6270 * HOL: cases and induct rules now provide explicit hints about the
  6271 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  6272 any remaining facts are inserted into the goal verbatim;
  6273 
  6274 * HOL: local contexts (aka cases) may now contain term bindings as
  6275 well; the 'cases' and 'induct' methods new provide a ?case binding for
  6276 the result to be shown in each case;
  6277 
  6278 * HOL: added 'recdef_tc' command;
  6279 
  6280 * isatool convert assists in eliminating legacy ML scripts;
  6281 
  6282 
  6283 *** HOL ***
  6284 
  6285 * HOL/Library: a collection of generic theories to be used together
  6286 with main HOL; the theory loader path already includes this directory
  6287 by default; the following existing theories have been moved here:
  6288 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  6289 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  6290 
  6291 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  6292 modelling and verification task performed in Isabelle/HOL +
  6293 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  6294 
  6295 * HOL/Algebra: special summation operator SUM no longer exists, it has
  6296 been replaced by setsum; infix 'assoc' now has priority 50 (like
  6297 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  6298 'domain', this makes the theory consistent with mathematical
  6299 literature;
  6300 
  6301 * HOL basics: added overloaded operations "inverse" and "divide"
  6302 (infix "/"), syntax for generic "abs" operation, generic summation
  6303 operator \<Sum>;
  6304 
  6305 * HOL/typedef: simplified package, provide more useful rules (see also
  6306 HOL/subset.thy);
  6307 
  6308 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  6309 now expressed as a proper nested rule (old-style tactic scripts may
  6310 require atomize_strip_tac to cope with non-atomic premises);
  6311 
  6312 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  6313 to "split_conv" (old name still available for compatibility);
  6314 
  6315 * HOL: improved concrete syntax for strings (e.g. allows translation
  6316 rules with string literals);
  6317 
  6318 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  6319  and Fleuriot's mechanization of analysis, including the transcendental
  6320  functions for the reals;
  6321 
  6322 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  6323 
  6324 
  6325 *** CTT ***
  6326 
  6327 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  6328 "lam" is displayed as TWO lambda-symbols
  6329 
  6330 * CTT: theory Main now available, containing everything (that is, Bool
  6331 and Arith);
  6332 
  6333 
  6334 *** General ***
  6335 
  6336 * Pure: the Simplifier has been implemented properly as a derived rule
  6337 outside of the actual kernel (at last!); the overall performance
  6338 penalty in practical applications is about 50%, while reliability of
  6339 the Isabelle inference kernel has been greatly improved;
  6340 
  6341 * print modes "brackets" and "no_brackets" control output of nested =>
  6342 (types) and ==> (props); the default behaviour is "brackets";
  6343 
  6344 * Provers: fast_tac (and friends) now handle actual object-logic rules
  6345 as assumptions as well;
  6346 
  6347 * system: support Poly/ML 4.0;
  6348 
  6349 * system: isatool install handles KDE version 1 or 2;
  6350 
  6351 
  6352 
  6353 New in Isabelle99-1 (October 2000)
  6354 ----------------------------------
  6355 
  6356 *** Overview of INCOMPATIBILITIES ***
  6357 
  6358 * HOL: simplification of natural numbers is much changed; to partly
  6359 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  6360 issue the following ML commands:
  6361 
  6362   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  6363   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  6364 
  6365 * HOL: simplification no longer dives into case-expressions; this is
  6366 controlled by "t.weak_case_cong" for each datatype t;
  6367 
  6368 * HOL: nat_less_induct renamed to less_induct;
  6369 
  6370 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  6371 fixsome to patch .thy and .ML sources automatically;
  6372 
  6373   select_equality  -> some_equality
  6374   select_eq_Ex     -> some_eq_ex
  6375   selectI2EX       -> someI2_ex
  6376   selectI2         -> someI2
  6377   selectI          -> someI
  6378   select1_equality -> some1_equality
  6379   Eps_sym_eq       -> some_sym_eq_trivial
  6380   Eps_eq           -> some_eq_trivial
  6381 
  6382 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  6383 
  6384 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  6385 instead);
  6386 
  6387 * HOL: the recursion equations generated by 'recdef' are now called
  6388 f.simps instead of f.rules;
  6389 
  6390 * HOL: qed_spec_mp now also handles bounded ALL as well;
  6391 
  6392 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  6393 sometimes be needed;
  6394 
  6395 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  6396 
  6397 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  6398 
  6399 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  6400 product is now "<*>" instead of "Times"; the lexicographic product is
  6401 now "<*lex*>" instead of "**";
  6402 
  6403 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  6404 of main HOL, but was unused); better use HOL's datatype package;
  6405 
  6406 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  6407 the old syntax may be recovered as follows:
  6408 
  6409   syntax (symbols)
  6410     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  6411       (infixl "\\<oplus>" 100)
  6412 
  6413 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  6414 
  6415 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  6416 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  6417 internally;
  6418 
  6419 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  6420 changed from A/r to A//r;
  6421 
  6422 * ZF: new treatment of arithmetic (nat & int) may break some old
  6423 proofs;
  6424 
  6425 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  6426 rulify -> rule_format, elimify -> elim_format, ...);
  6427 
  6428 * Isar/Provers: intro/elim/dest attributes changed; renamed
  6429 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  6430 should have to change intro!! to intro? only); replaced "delrule" by
  6431 "rule del";
  6432 
  6433 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  6434 
  6435 * Provers: strengthened force_tac by using new first_best_tac;
  6436 
  6437 * LaTeX document preparation: several changes of isabelle.sty (see
  6438 lib/texinputs);
  6439 
  6440 
  6441 *** Document preparation ***
  6442 
  6443 * formal comments (text blocks etc.) in new-style theories may now
  6444 contain antiquotations of thm/prop/term/typ/text to be presented
  6445 according to latex print mode; concrete syntax is like this:
  6446 @{term[show_types] "f(x) = a + x"};
  6447 
  6448 * isatool mkdir provides easy setup of Isabelle session directories,
  6449 including proper document sources;
  6450 
  6451 * generated LaTeX sources are now deleted after successful run
  6452 (isatool document -c); may retain a copy somewhere else via -D option
  6453 of isatool usedir;
  6454 
  6455 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  6456 style files, achieving self-contained LaTeX sources and simplifying
  6457 LaTeX debugging;
  6458 
  6459 * old-style theories now produce (crude) LaTeX output as well;
  6460 
  6461 * browser info session directories are now self-contained (may be put
  6462 on WWW server seperately); improved graphs of nested sessions; removed
  6463 graph for 'all sessions';
  6464 
  6465 * several improvements in isabelle style files; \isabellestyle{it}
  6466 produces fake math mode output; \isamarkupheader is now \section by
  6467 default; see lib/texinputs/isabelle.sty etc.;
  6468 
  6469 
  6470 *** Isar ***
  6471 
  6472 * Isar/Pure: local results and corresponding term bindings are now
  6473 subject to Hindley-Milner polymorphism (similar to ML); this
  6474 accommodates incremental type-inference very nicely;
  6475 
  6476 * Isar/Pure: new derived language element 'obtain' supports
  6477 generalized existence reasoning;
  6478 
  6479 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  6480 support accumulation of results, without applying any rules yet;
  6481 useful to collect intermediate results without explicit name
  6482 references, and for use with transitivity rules with more than 2
  6483 premises;
  6484 
  6485 * Isar/Pure: scalable support for case-analysis type proofs: new
  6486 'case' language element refers to local contexts symbolically, as
  6487 produced by certain proof methods; internally, case names are attached
  6488 to theorems as "tags";
  6489 
  6490 * Isar/Pure: theory command 'hide' removes declarations from
  6491 class/type/const name spaces;
  6492 
  6493 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  6494 indicate potential overloading;
  6495 
  6496 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  6497 
  6498 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  6499 "{a,b,c}" instead of {a,b,c};
  6500 
  6501 * Isar/Pure now provides its own version of intro/elim/dest
  6502 attributes; useful for building new logics, but beware of confusion
  6503 with the version in Provers/classical;
  6504 
  6505 * Isar/Pure: the local context of (non-atomic) goals is provided via
  6506 case name 'antecedent';
  6507 
  6508 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  6509 to the current context is now done automatically);
  6510 
  6511 * Isar/Pure: theory command 'method_setup' provides a simple interface
  6512 for definining proof methods in ML;
  6513 
  6514 * Isar/Provers: intro/elim/dest attributes changed; renamed
  6515 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  6516 most cases, one should have to change intro!! to intro? only);
  6517 replaced "delrule" by "rule del";
  6518 
  6519 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  6520 'symmetric' attribute (the latter supercedes [RS sym]);
  6521 
  6522 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  6523 method modifier); 'simp' method: 'only:' modifier removes loopers as
  6524 well (including splits);
  6525 
  6526 * Isar/Provers: Simplifier and Classical methods now support all kind
  6527 of modifiers used in the past, including 'cong', 'iff', etc.
  6528 
  6529 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  6530 of Simplifier and Classical reasoner);
  6531 
  6532 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  6533 now support named cases; major packages (inductive, datatype, primrec,
  6534 recdef) support case names and properly name parameters;
  6535 
  6536 * Isar/HOL: new transitivity rules for substitution in inequalities --
  6537 monotonicity conditions are extracted to be proven at end of
  6538 calculations;
  6539 
  6540 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  6541 method anyway;
  6542 
  6543 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  6544 split_if split_if_asm; datatype package provides theorems foo.splits =
  6545 foo.split foo.split_asm for each datatype;
  6546 
  6547 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  6548 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  6549 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  6550 use "(cases (simplified))" method in proper proof texts);
  6551 
  6552 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  6553 
  6554 * Isar: names of theorems etc. may be natural numbers as well;
  6555 
  6556 * Isar: 'pr' command: optional arguments for goals_limit and
  6557 ProofContext.prems_limit; no longer prints theory contexts, but only
  6558 proof states;
  6559 
  6560 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  6561 additional print modes to be specified; e.g. "pr(latex)" will print
  6562 proof state according to the Isabelle LaTeX style;
  6563 
  6564 * Isar: improved support for emulating tactic scripts, including proof
  6565 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  6566 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  6567 (for HOL datatypes);
  6568 
  6569 * Isar: simplified (more robust) goal selection of proof methods: 1st
  6570 goal, all goals, or explicit goal specifier (tactic emulation); thus
  6571 'proof method scripts' have to be in depth-first order;
  6572 
  6573 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  6574 
  6575 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  6576 should instead use individual commands for printing items
  6577 (print_commands, print_methods etc.);
  6578 
  6579 * Isar: added 'nothing' --- the empty list of theorems;
  6580 
  6581 
  6582 *** HOL ***
  6583 
  6584 * HOL/MicroJava: formalization of a fragment of Java, together with a
  6585 corresponding virtual machine and a specification of its bytecode
  6586 verifier and a lightweight bytecode verifier, including proofs of
  6587 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  6588 Cornelia Pusch (see also the homepage of project Bali at
  6589 http://isabelle.in.tum.de/Bali/);
  6590 
  6591 * HOL/Algebra: new theory of rings and univariate polynomials, by
  6592 Clemens Ballarin;
  6593 
  6594 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  6595 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  6596 Rasmussen;
  6597 
  6598 * HOL/Lattice: fundamental concepts of lattice theory and order
  6599 structures, including duals, properties of bounds versus algebraic
  6600 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  6601 Theorem for complete lattices etc.; may also serve as a demonstration
  6602 for abstract algebraic reasoning using axiomatic type classes, and
  6603 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  6604 
  6605 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  6606 von Oheimb;
  6607 
  6608 * HOL/IMPP: extension of IMP with local variables and mutually
  6609 recursive procedures, by David von Oheimb;
  6610 
  6611 * HOL/Lambda: converted into new-style theory and document;
  6612 
  6613 * HOL/ex/Multiquote: example of multiple nested quotations and
  6614 anti-quotations -- basically a generalized version of de-Bruijn
  6615 representation; very useful in avoiding lifting of operations;
  6616 
  6617 * HOL/record: added general record equality rule to simpset; fixed
  6618 select-update simplification procedure to handle extended records as
  6619 well; admit "r" as field name;
  6620 
  6621 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  6622 other numeric types and also as the identity of groups, rings, etc.;
  6623 
  6624 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  6625 Types nat and int belong to this axclass;
  6626 
  6627 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  6628    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  6629    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  6630   two terms #m*u and #n*u are replaced by #(m+n)*u
  6631     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  6632   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  6633     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  6634 
  6635 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  6636 powerful prover for predicate logic but knows nothing of clasets; see
  6637 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  6638 
  6639 * HOL: new version of "case_tac" subsumes both boolean case split and
  6640 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  6641 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  6642 
  6643 * HOL: simplification no longer dives into case-expressions: only the
  6644 selector expression is simplified, but not the remaining arms; to
  6645 enable full simplification of case-expressions for datatype t, you may
  6646 remove t.weak_case_cong from the simpset, either globally (Delcongs
  6647 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  6648 
  6649 * HOL/recdef: the recursion equations generated by 'recdef' for
  6650 function 'f' are now called f.simps instead of f.rules; if all
  6651 termination conditions are proved automatically, these simplification
  6652 rules are added to the simpset, as in primrec; rules may be named
  6653 individually as well, resulting in a separate list of theorems for
  6654 each equation;
  6655 
  6656 * HOL/While is a new theory that provides a while-combinator. It
  6657 permits the definition of tail-recursive functions without the
  6658 provision of a termination measure. The latter is necessary once the
  6659 invariant proof rule for while is applied.
  6660 
  6661 * HOL: new (overloaded) notation for the set of elements below/above
  6662 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  6663 
  6664 * HOL: theorems impI, allI, ballI bound as "strip";
  6665 
  6666 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  6667 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  6668 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  6669 
  6670 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  6671 
  6672 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  6673 main HOL, but was unused);
  6674 
  6675 * HOL: fewer consts declared as global (e.g. have to refer to
  6676 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  6677 
  6678 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  6679 in case of overlap with user translations (e.g. judgements over
  6680 tuples); (note that the underlying logical represenation is still
  6681 bogus);
  6682 
  6683 
  6684 *** ZF ***
  6685 
  6686 * ZF: simplification automatically cancels common terms in arithmetic
  6687 expressions over nat and int;
  6688 
  6689 * ZF: new treatment of nat to minimize type-checking: all operators
  6690 coerce their operands to a natural number using the function natify,
  6691 making the algebraic laws unconditional;
  6692 
  6693 * ZF: as above, for int: operators coerce their operands to an integer
  6694 using the function intify;
  6695 
  6696 * ZF: the integer library now contains many of the usual laws for the
  6697 orderings, including $<=, and monotonicity laws for $+ and $*;
  6698 
  6699 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  6700 simplification;
  6701 
  6702 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  6703 to the simplifier and classical reasoner simultaneously;
  6704 
  6705 
  6706 *** General ***
  6707 
  6708 * Provers: blast_tac now handles actual object-logic rules as
  6709 assumptions; note that auto_tac uses blast_tac internally as well;
  6710 
  6711 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  6712 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  6713 
  6714 * Provers: delrules now handles destruct rules as well (no longer need
  6715 explicit make_elim);
  6716 
  6717 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  6718   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  6719 use instead the strong form,
  6720   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  6721 in HOL, FOL and ZF the function cla_make_elim will create such rules
  6722 from destruct-rules;
  6723 
  6724 * Provers: Simplifier.easy_setup provides a fast path to basic
  6725 Simplifier setup for new object-logics;
  6726 
  6727 * Pure: AST translation rules no longer require constant head on LHS;
  6728 
  6729 * Pure: improved name spaces: ambiguous output is qualified; support
  6730 for hiding of names;
  6731 
  6732 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  6733 XSYMBOL_HOME; no longer need to do manual configuration in most
  6734 situations;
  6735 
  6736 * system: compression of ML heaps images may now be controlled via -c
  6737 option of isabelle and isatool usedir (currently only observed by
  6738 Poly/ML);
  6739 
  6740 * system: isatool installfonts may handle X-Symbol fonts as well (very
  6741 useful for remote X11);
  6742 
  6743 * system: provide TAGS file for Isabelle sources;
  6744 
  6745 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  6746 order;
  6747 
  6748 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  6749 timing flag supersedes proof_timing and Toplevel.trace;
  6750 
  6751 * ML: new combinators |>> and |>>> for incremental transformations
  6752 with secondary results (e.g. certain theory extensions):
  6753 
  6754 * ML: PureThy.add_defs gets additional argument to indicate potential
  6755 overloading (usually false);
  6756 
  6757 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  6758 results;
  6759 
  6760 
  6761 
  6762 New in Isabelle99 (October 1999)
  6763 --------------------------------
  6764 
  6765 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6766 
  6767 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  6768 are no longer simplified.  (This allows the simplifier to unfold recursive
  6769 functional programs.)  To restore the old behaviour, declare
  6770 
  6771     Delcongs [if_weak_cong];
  6772 
  6773 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  6774 complement;
  6775 
  6776 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  6777 
  6778 * HOL/datatype: mutual_induct_tac no longer exists --
  6779   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  6780 
  6781 * HOL/typedef: fixed type inference for representing set; type
  6782 arguments now have to occur explicitly on the rhs as type constraints;
  6783 
  6784 * ZF: The con_defs part of an inductive definition may no longer refer
  6785 to constants declared in the same theory;
  6786 
  6787 * HOL, ZF: the function mk_cases, generated by the inductive
  6788 definition package, has lost an argument.  To simplify its result, it
  6789 uses the default simpset instead of a supplied list of theorems.
  6790 
  6791 * HOL/List: the constructors of type list are now Nil and Cons;
  6792 
  6793 * Simplifier: the type of the infix ML functions
  6794         setSSolver addSSolver setSolver addSolver
  6795 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  6796 for packaging solvers. A solver is created via
  6797         mk_solver: string -> (thm list -> int -> tactic) -> solver
  6798 where the string argument is only a comment.
  6799 
  6800 
  6801 *** Proof tools ***
  6802 
  6803 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  6804 decision procedure for linear arithmetic. Currently it is used for
  6805 types `nat', `int', and `real' in HOL (see below); it can, should and
  6806 will be instantiated for other types and logics as well.
  6807 
  6808 * The simplifier now accepts rewrite rules with flexible heads, eg
  6809      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  6810   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  6811   matching.
  6812 
  6813 
  6814 *** General ***
  6815 
  6816 * New Isabelle/Isar subsystem provides an alternative to traditional
  6817 tactical theorem proving; together with the ProofGeneral/isar user
  6818 interface it offers an interactive environment for developing human
  6819 readable proof documents (Isar == Intelligible semi-automated
  6820 reasoning); for further information see isatool doc isar-ref,
  6821 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  6822 
  6823 * improved and simplified presentation of theories: better HTML markup
  6824 (including colors), graph views in several sizes; isatool usedir now
  6825 provides a proper interface for user theories (via -P option); actual
  6826 document preparation based on (PDF)LaTeX is available as well (for
  6827 new-style theories only); see isatool doc system for more information;
  6828 
  6829 * native support for Proof General, both for classic Isabelle and
  6830 Isabelle/Isar;
  6831 
  6832 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  6833 using the graph browser tool;
  6834 
  6835 * Isabelle manuals now also available as PDF;
  6836 
  6837 * theory loader rewritten from scratch (may not be fully
  6838 bug-compatible); old loadpath variable has been replaced by show_path,
  6839 add_path, del_path, reset_path functions; new operations such as
  6840 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  6841 isatool doc ref);
  6842 
  6843 * improved isatool install: option -k creates KDE application icon,
  6844 option -p DIR installs standalone binaries;
  6845 
  6846 * added ML_PLATFORM setting (useful for cross-platform installations);
  6847 more robust handling of platform specific ML images for SML/NJ;
  6848 
  6849 * the settings environment is now statically scoped, i.e. it is never
  6850 created again in sub-processes invoked from isabelle, isatool, or
  6851 Isabelle;
  6852 
  6853 * path element specification '~~' refers to '$ISABELLE_HOME';
  6854 
  6855 * in locales, the "assumes" and "defines" parts may be omitted if
  6856 empty;
  6857 
  6858 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  6859 long arrows);
  6860 
  6861 * new print_mode "HTML";
  6862 
  6863 * new flag show_tags controls display of tags of theorems (which are
  6864 basically just comments that may be attached by some tools);
  6865 
  6866 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  6867 mode and goal output format:
  6868 
  6869 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  6870 244c244
  6871 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  6872 ---
  6873 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  6874 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  6875 181c181
  6876 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  6877 ---
  6878 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  6879 
  6880 * function bind_thms stores lists of theorems (cf. bind_thm);
  6881 
  6882 * new shorthand tactics ftac, eatac, datac, fatac;
  6883 
  6884 * qed (and friends) now accept "" as result name; in that case the
  6885 theorem is not stored, but proper checks and presentation of the
  6886 result still apply;
  6887 
  6888 * theorem database now also indexes constants "Trueprop", "all",
  6889 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  6890 
  6891 
  6892 *** HOL ***
  6893 
  6894 ** HOL arithmetic **
  6895 
  6896 * There are now decision procedures for linear arithmetic over nat and
  6897 int:
  6898 
  6899 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  6900 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  6901 are treated as atomic; subformulae not involving type `nat' or `int'
  6902 are ignored; quantified subformulae are ignored unless they are
  6903 positive universal or negative existential. The tactic has to be
  6904 invoked by hand and can be a little bit slow. In particular, the
  6905 running time is exponential in the number of occurrences of `min' and
  6906 `max', and `-' on `nat'.
  6907 
  6908 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  6909 (negated) (in)equalities among the premises and the conclusion into
  6910 account (i.e. no compound formulae) and does not know about `min' and
  6911 `max', and `-' on `nat'. It is fast and is used automatically by the
  6912 simplifier.
  6913 
  6914 NB: At the moment, these decision procedures do not cope with mixed
  6915 nat/int formulae where the two parts interact, such as `m < n ==>
  6916 int(m) < int(n)'.
  6917 
  6918 * HOL/Numeral provides a generic theory of numerals (encoded
  6919 efficiently as bit strings); setup for types nat/int/real is in place;
  6920 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  6921 int, existing theories and proof scripts may require a few additional
  6922 type constraints;
  6923 
  6924 * integer division and remainder can now be performed on constant
  6925 arguments;
  6926 
  6927 * many properties of integer multiplication, division and remainder
  6928 are now available;
  6929 
  6930 * An interface to the Stanford Validity Checker (SVC) is available through the
  6931 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  6932 are proved automatically.  SVC must be installed separately, and its results
  6933 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  6934 invocation of the underlying oracle).  For SVC see
  6935   http://verify.stanford.edu/SVC
  6936 
  6937 * IsaMakefile: the HOL-Real target now builds an actual image;
  6938 
  6939 
  6940 ** HOL misc **
  6941 
  6942 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  6943 (in Isabelle/Isar) -- by Gertrud Bauer;
  6944 
  6945 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  6946 analysis for assembly languages with subtypes;
  6947 
  6948 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  6949 -- avoids syntactic ambiguities and treats state, transition, and
  6950 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  6951 changed syntax and (many) tactics;
  6952 
  6953 * HOL/inductive: Now also handles more general introduction rules such
  6954   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6955   theorems are now maintained within the theory (maintained via the
  6956   "mono" attribute);
  6957 
  6958 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6959   (using function types) such as
  6960 
  6961   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6962 
  6963 * HOL/record: record_simproc (part of the default simpset) takes care
  6964 of selectors applied to updated records; record_split_tac is no longer
  6965 part of the default claset; update_defs may now be removed from the
  6966 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6967 
  6968   claset_ref () := claset() addSWrapper record_split_wrapper;
  6969   Delsimprocs [record_simproc]
  6970 
  6971 * HOL/typedef: fixed type inference for representing set; type
  6972 arguments now have to occur explicitly on the rhs as type constraints;
  6973 
  6974 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6975 names rather than an ML expression;
  6976 
  6977 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6978 supplied later.  Program schemes can be defined, such as
  6979     "While B C s = (if B s then While B C (C s) else s)"
  6980 where the well-founded relation can be chosen after B and C have been given.
  6981 
  6982 * HOL/List: the constructors of type list are now Nil and Cons;
  6983 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6984 course, ML tools referring to List.list.op # etc. have to be adapted;
  6985 
  6986 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6987 disabled by default; run isabelle with option -m HOL to get back to
  6988 the original Gordon/HOL-style output;
  6989 
  6990 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6991 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6992 
  6993 * HOL basic syntax simplified (more orthogonal): all variants of
  6994 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6995 Eps operator is provided as well: "SOME x. P[x]";
  6996 
  6997 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6998 
  6999 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  7000 thus available for user theories;
  7001 
  7002 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  7003 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  7004 time;
  7005 
  7006 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  7007 several times and then mp;
  7008 
  7009 
  7010 *** LK ***
  7011 
  7012 * the notation <<...>> is now available as a notation for sequences of
  7013 formulas;
  7014 
  7015 * the simplifier is now installed
  7016 
  7017 * the axiom system has been generalized (thanks to Soren Heilmann)
  7018 
  7019 * the classical reasoner now has a default rule database
  7020 
  7021 
  7022 *** ZF ***
  7023 
  7024 * new primrec section allows primitive recursive functions to be given
  7025 directly (as in HOL) over datatypes and the natural numbers;
  7026 
  7027 * new tactics induct_tac and exhaust_tac for induction (or case
  7028 analysis) over datatypes and the natural numbers;
  7029 
  7030 * the datatype declaration of type T now defines the recursor T_rec;
  7031 
  7032 * simplification automatically does freeness reasoning for datatype
  7033 constructors;
  7034 
  7035 * automatic type-inference, with AddTCs command to insert new
  7036 type-checking rules;
  7037 
  7038 * datatype introduction rules are now added as Safe Introduction rules
  7039 to the claset;
  7040 
  7041 * the syntax "if P then x else y" is now available in addition to
  7042 if(P,x,y);
  7043 
  7044 
  7045 *** Internal programming interfaces ***
  7046 
  7047 * tuned simplifier trace output; new flag debug_simp;
  7048 
  7049 * structures Vartab / Termtab (instances of TableFun) offer efficient
  7050 tables indexed by indexname_ord / term_ord (compatible with aconv);
  7051 
  7052 * AxClass.axclass_tac lost the theory argument;
  7053 
  7054 * tuned current_goals_markers semantics: begin / end goal avoids
  7055 printing empty lines;
  7056 
  7057 * removed prs and prs_fn hook, which was broken because it did not
  7058 include \n in its semantics, forcing writeln to add one
  7059 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  7060 string -> unit if you really want to output text without newline;
  7061 
  7062 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  7063 plain output, interface builders may have to enable 'isabelle_font'
  7064 mode to get Isabelle font glyphs as before;
  7065 
  7066 * refined token_translation interface; INCOMPATIBILITY: output length
  7067 now of type real instead of int;
  7068 
  7069 * theory loader actions may be traced via new ThyInfo.add_hook
  7070 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  7071 your own database of information attached to *whole* theories -- as
  7072 opposed to intra-theory data slots offered via TheoryDataFun;
  7073 
  7074 * proper handling of dangling sort hypotheses (at last!);
  7075 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  7076 extra sort hypotheses that can be witnessed from the type signature;
  7077 the force_strip_shyps flag is gone, any remaining shyps are simply
  7078 left in the theorem (with a warning issued by strip_shyps_warning);
  7079 
  7080 
  7081 
  7082 New in Isabelle98-1 (October 1998)
  7083 ----------------------------------
  7084 
  7085 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  7086 
  7087 * several changes of automated proof tools;
  7088 
  7089 * HOL: major changes to the inductive and datatype packages, including
  7090 some minor incompatibilities of theory syntax;
  7091 
  7092 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  7093 called `inj_on';
  7094 
  7095 * HOL: removed duplicate thms in Arith:
  7096   less_imp_add_less  should be replaced by  trans_less_add1
  7097   le_imp_add_le      should be replaced by  trans_le_add1
  7098 
  7099 * HOL: unary minus is now overloaded (new type constraints may be
  7100 required);
  7101 
  7102 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  7103 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  7104 now taken as an integer constant.
  7105 
  7106 * Pure: ML function 'theory_of' renamed to 'theory';
  7107 
  7108 
  7109 *** Proof tools ***
  7110 
  7111 * Simplifier:
  7112   1. Asm_full_simp_tac is now more aggressive.
  7113      1. It will sometimes reorient premises if that increases their power to
  7114         simplify.
  7115      2. It does no longer proceed strictly from left to right but may also
  7116         rotate premises to achieve further simplification.
  7117      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  7118      old Asm_full_simp_tac in that it does not rotate premises.
  7119   2. The simplifier now knows a little bit about nat-arithmetic.
  7120 
  7121 * Classical reasoner: wrapper mechanism for the classical reasoner now
  7122 allows for selected deletion of wrappers, by introduction of names for
  7123 wrapper functionals.  This implies that addbefore, addSbefore,
  7124 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  7125 and that adding two tactics with the same name overwrites the first
  7126 one (emitting a warning).
  7127   type wrapper = (int -> tactic) -> (int -> tactic)
  7128   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  7129   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  7130   delWrapper, delSWrapper: claset *  string            -> claset
  7131   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  7132 
  7133 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  7134 semantics; addbefore now affects only the unsafe part of step_tac
  7135 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  7136 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  7137 by Force_tac;
  7138 
  7139 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  7140 compWrapper; added safe wrapper (and access functions for it);
  7141 
  7142 * HOL/split_all_tac is now much faster and fails if there is nothing
  7143 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  7144 and the names of the automatically generated variables have changed.
  7145 split_all_tac has moved within claset() from unsafe wrappers to safe
  7146 wrappers, which means that !!-bound variables are split much more
  7147 aggressively, and safe_tac and clarify_tac now split such variables.
  7148 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  7149 Note: the same holds for record_split_tac, which does the job of
  7150 split_all_tac for record fields.
  7151 
  7152 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  7153 permanently to the default simpset using Addsplits just like
  7154 Addsimps. They can be removed via Delsplits just like
  7155 Delsimps. Lower-case versions are also available.
  7156 
  7157 * HOL/Simplifier: The rule split_if is now part of the default
  7158 simpset. This means that the simplifier will eliminate all occurrences
  7159 of if-then-else in the conclusion of a goal. To prevent this, you can
  7160 either remove split_if completely from the default simpset by
  7161 `Delsplits [split_if]' or remove it in a specific call of the
  7162 simplifier using `... delsplits [split_if]'.  You can also add/delete
  7163 other case splitting rules to/from the default simpset: every datatype
  7164 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  7165 t is the name of the datatype).
  7166 
  7167 * Classical reasoner / Simplifier combination: new force_tac (and
  7168 derivatives Force_tac, force) combines rewriting and classical
  7169 reasoning (and whatever other tools) similarly to auto_tac, but is
  7170 aimed to solve the given subgoal completely.
  7171 
  7172 
  7173 *** General ***
  7174 
  7175 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  7176 and `goalw': the theory is no longer needed as an explicit argument -
  7177 the current theory context is used; assumptions are no longer returned
  7178 at the ML-level unless one of them starts with ==> or !!; it is
  7179 recommended to convert to these new commands using isatool fixgoal
  7180 (backup your sources first!);
  7181 
  7182 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  7183 the current theory context, and 'theory' to lookup stored theories;
  7184 
  7185 * new theory section 'locale' for declaring constants, assumptions and
  7186 definitions that have local scope;
  7187 
  7188 * new theory section 'nonterminals' for purely syntactic types;
  7189 
  7190 * new theory section 'setup' for generic ML setup functions
  7191 (e.g. package initialization);
  7192 
  7193 * the distribution now includes Isabelle icons: see
  7194 lib/logo/isabelle-{small,tiny}.xpm;
  7195 
  7196 * isatool install - install binaries with absolute references to
  7197 ISABELLE_HOME/bin;
  7198 
  7199 * isatool logo -- create instances of the Isabelle logo (as EPS);
  7200 
  7201 * print mode 'emacs' reserved for Isamode;
  7202 
  7203 * support multiple print (ast) translations per constant name;
  7204 
  7205 * theorems involving oracles are now printed with a suffixed [!];
  7206 
  7207 
  7208 *** HOL ***
  7209 
  7210 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  7211 
  7212 * HOL/inductive package reorganized and improved: now supports mutual
  7213 definitions such as
  7214 
  7215   inductive EVEN ODD
  7216     intrs
  7217       null "0 : EVEN"
  7218       oddI "n : EVEN ==> Suc n : ODD"
  7219       evenI "n : ODD ==> Suc n : EVEN"
  7220 
  7221 new theorem list "elims" contains an elimination rule for each of the
  7222 recursive sets; inductive definitions now handle disjunctive premises
  7223 correctly (also ZF);
  7224 
  7225 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  7226 "mutual_induct" no longer exists - the induction rule is always
  7227 contained in "induct";
  7228 
  7229 
  7230 * HOL/datatype package re-implemented and greatly improved: now
  7231 supports mutually recursive datatypes such as
  7232 
  7233   datatype
  7234     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  7235             | SUM ('a aexp) ('a aexp)
  7236             | DIFF ('a aexp) ('a aexp)
  7237             | NUM 'a
  7238   and
  7239     'a bexp = LESS ('a aexp) ('a aexp)
  7240             | AND ('a bexp) ('a bexp)
  7241             | OR ('a bexp) ('a bexp)
  7242 
  7243 as well as indirectly recursive datatypes such as
  7244 
  7245   datatype
  7246     ('a, 'b) term = Var 'a
  7247                   | App 'b ((('a, 'b) term) list)
  7248 
  7249 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  7250 induction on mutually / indirectly recursive datatypes.
  7251 
  7252 Primrec equations are now stored in theory and can be accessed via
  7253 <function_name>.simps.
  7254 
  7255 INCOMPATIBILITIES:
  7256 
  7257   - Theories using datatypes must now have theory Datatype as an
  7258     ancestor.
  7259   - The specific <typename>.induct_tac no longer exists - use the
  7260     generic induct_tac instead.
  7261   - natE has been renamed to nat.exhaust - use exhaust_tac
  7262     instead of res_inst_tac ... natE. Note that the variable
  7263     names in nat.exhaust differ from the names in natE, this
  7264     may cause some "fragile" proofs to fail.
  7265   - The theorems split_<typename>_case and split_<typename>_case_asm
  7266     have been renamed to <typename>.split and <typename>.split_asm.
  7267   - Since default sorts of type variables are now handled correctly,
  7268     some datatype definitions may have to be annotated with explicit
  7269     sort constraints.
  7270   - Primrec definitions no longer require function name and type
  7271     of recursive argument.
  7272 
  7273 Consider using isatool fixdatatype to adapt your theories and proof
  7274 scripts to the new package (backup your sources first!).
  7275 
  7276 
  7277 * HOL/record package: considerably improved implementation; now
  7278 includes concrete syntax for record types, terms, updates; theorems
  7279 for surjective pairing and splitting !!-bound record variables; proof
  7280 support is as follows:
  7281 
  7282   1) standard conversions (selectors or updates applied to record
  7283 constructor terms) are part of the standard simpset;
  7284 
  7285   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  7286 made part of standard simpset and claset via addIffs;
  7287 
  7288   3) a tactic for record field splitting (record_split_tac) is part of
  7289 the standard claset (addSWrapper);
  7290 
  7291 To get a better idea about these rules you may retrieve them via
  7292 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  7293 the name of your record type.
  7294 
  7295 The split tactic 3) conceptually simplifies by the following rule:
  7296 
  7297   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  7298 
  7299 Thus any record variable that is bound by meta-all will automatically
  7300 blow up into some record constructor term, consequently the
  7301 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  7302 solve record problems automatically.
  7303 
  7304 
  7305 * reorganized the main HOL image: HOL/Integ and String loaded by
  7306 default; theory Main includes everything;
  7307 
  7308 * automatic simplification of integer sums and comparisons, using cancellation;
  7309 
  7310 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  7311 
  7312 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  7313 
  7314 * many new identities for unions, intersections, set difference, etc.;
  7315 
  7316 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  7317 called split_if, split_split, split_sum_case and split_nat_case (to go
  7318 with add/delsplits);
  7319 
  7320 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  7321 (?x::unit) = (); this is made part of the default simpset, which COULD
  7322 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  7323 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  7324 unit_abs_eta_conv is added in order to counter the effect of
  7325 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  7326 %u.f();
  7327 
  7328 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  7329 makes more sense);
  7330 
  7331 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  7332   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  7333   disjointness reasoning but breaking a few old proofs.
  7334 
  7335 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  7336 to 'converse' from 'inverse' (for compatibility with ZF and some
  7337 literature);
  7338 
  7339 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  7340 the well-founded relation;
  7341 
  7342 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  7343     Compl A.  The "Compl" syntax remains available as input syntax for this
  7344     release ONLY.
  7345 
  7346 * HOL/Update: new theory of function updates:
  7347     f(a:=b) == %x. if x=a then b else f x
  7348 may also be iterated as in f(a:=b,c:=d,...);
  7349 
  7350 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  7351 
  7352 * HOL/List:
  7353   - new function list_update written xs[i:=v] that updates the i-th
  7354     list position. May also be iterated as in xs[i:=a,j:=b,...].
  7355   - new function `upt' written [i..j(] which generates the list
  7356     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  7357     bound write [i..j], which is a shorthand for [i..j+1(].
  7358   - new lexicographic orderings and corresponding wellfoundedness theorems.
  7359 
  7360 * HOL/Arith:
  7361   - removed 'pred' (predecessor) function;
  7362   - generalized some theorems about n-1;
  7363   - many new laws about "div" and "mod";
  7364   - new laws about greatest common divisors (see theory ex/Primes);
  7365 
  7366 * HOL/Relation: renamed the relational operator r^-1 "converse"
  7367 instead of "inverse";
  7368 
  7369 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  7370   of the multiset ordering;
  7371 
  7372 * directory HOL/Real: a construction of the reals using Dedekind cuts
  7373   (not included by default);
  7374 
  7375 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  7376 
  7377 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  7378   programs, i.e. different program variables may have different types.
  7379 
  7380 * calling (stac rew i) now fails if "rew" has no effect on the goal
  7381   [previously, this check worked only if the rewrite rule was unconditional]
  7382   Now rew can involve either definitions or equalities (either == or =).
  7383 
  7384 
  7385 *** ZF ***
  7386 
  7387 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  7388   only the theorems proved on ZF.ML;
  7389 
  7390 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  7391   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  7392   disjointness reasoning but breaking a few old proofs.
  7393 
  7394 * ZF/Update: new theory of function updates
  7395     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  7396   may also be iterated as in f(a:=b,c:=d,...);
  7397 
  7398 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  7399 
  7400 * calling (stac rew i) now fails if "rew" has no effect on the goal
  7401   [previously, this check worked only if the rewrite rule was unconditional]
  7402   Now rew can involve either definitions or equalities (either == or =).
  7403 
  7404 * case_tac provided for compatibility with HOL
  7405     (like the old excluded_middle_tac, but with subgoals swapped)
  7406 
  7407 
  7408 *** Internal programming interfaces ***
  7409 
  7410 * Pure: several new basic modules made available for general use, see
  7411 also src/Pure/README;
  7412 
  7413 * improved the theory data mechanism to support encapsulation (data
  7414 kind name replaced by private Object.kind, acting as authorization
  7415 key); new type-safe user interface via functor TheoryDataFun; generic
  7416 print_data function becomes basically useless;
  7417 
  7418 * removed global_names compatibility flag -- all theory declarations
  7419 are qualified by default;
  7420 
  7421 * module Pure/Syntax now offers quote / antiquote translation
  7422 functions (useful for Hoare logic etc. with implicit dependencies);
  7423 see HOL/ex/Antiquote for an example use;
  7424 
  7425 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  7426 cterm -> thm;
  7427 
  7428 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  7429 subgoal;
  7430 
  7431 * Display.print_goals function moved to Locale.print_goals;
  7432 
  7433 * standard print function for goals supports current_goals_markers
  7434 variable for marking begin of proof, end of proof, start of goal; the
  7435 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  7436 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  7437 for example;
  7438 
  7439 
  7440 
  7441 New in Isabelle98 (January 1998)
  7442 --------------------------------
  7443 
  7444 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  7445 
  7446 * changed lexical syntax of terms / types: dots made part of long
  7447 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  7448 
  7449 * simpset (and claset) reference variable replaced by functions
  7450 simpset / simpset_ref;
  7451 
  7452 * no longer supports theory aliases (via merge) and non-trivial
  7453 implicit merge of thms' signatures;
  7454 
  7455 * most internal names of constants changed due to qualified names;
  7456 
  7457 * changed Pure/Sequence interface (see Pure/seq.ML);
  7458 
  7459 
  7460 *** General Changes ***
  7461 
  7462 * hierachically structured name spaces (for consts, types, axms, thms
  7463 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  7464 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  7465 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  7466 long_names for fully qualified output names; NOTE: ML programs
  7467 (special tactics, packages etc.) referring to internal names may have
  7468 to be adapted to cope with fully qualified names; in case of severe
  7469 backward campatibility problems try setting 'global_names' at compile
  7470 time to have enrything declared within a flat name space; one may also
  7471 fine tune name declarations in theories via the 'global' and 'local'
  7472 section;
  7473 
  7474 * reimplemented the implicit simpset and claset using the new anytype
  7475 data filed in signatures; references simpset:simpset ref etc. are
  7476 replaced by functions simpset:unit->simpset and
  7477 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  7478 to patch your ML files accordingly;
  7479 
  7480 * HTML output now includes theory graph data for display with Java
  7481 applet or isatool browser; data generated automatically via isatool
  7482 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  7483 
  7484 * defs may now be conditional; improved rewrite_goals_tac to handle
  7485 conditional equations;
  7486 
  7487 * defs now admits additional type arguments, using TYPE('a) syntax;
  7488 
  7489 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  7490 creates a new theory node; implicit merge of thms' signatures is
  7491 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  7492 transfer:theory->thm->thm in (rare) cases;
  7493 
  7494 * improved handling of draft signatures / theories; draft thms (and
  7495 ctyps, cterms) are automatically promoted to real ones;
  7496 
  7497 * slightly changed interfaces for oracles: admit many per theory, named
  7498 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  7499 
  7500 * print_goals: optional output of const types (set show_consts and
  7501 show_types);
  7502 
  7503 * improved output of warnings (###) and errors (***);
  7504 
  7505 * subgoal_tac displays a warning if the new subgoal has type variables;
  7506 
  7507 * removed old README and Makefiles;
  7508 
  7509 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  7510 
  7511 * removed obsolete init_pps and init_database;
  7512 
  7513 * deleted the obsolete tactical STATE, which was declared by
  7514     fun STATE tacfun st = tacfun st st;
  7515 
  7516 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  7517 (which abbreviates $HOME);
  7518 
  7519 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  7520 use isatool fixseq to adapt your ML programs (this works for fully
  7521 qualified references to the Sequence structure only!);
  7522 
  7523 * use_thy no longer requires writable current directory; it always
  7524 reloads .ML *and* .thy file, if either one is out of date;
  7525 
  7526 
  7527 *** Classical Reasoner ***
  7528 
  7529 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  7530 tactics that use classical reasoning to simplify a subgoal without
  7531 splitting it into several subgoals;
  7532 
  7533 * Safe_tac: like safe_tac but uses the default claset;
  7534 
  7535 
  7536 *** Simplifier ***
  7537 
  7538 * added simplification meta rules:
  7539     (asm_)(full_)simplify: simpset -> thm -> thm;
  7540 
  7541 * simplifier.ML no longer part of Pure -- has to be loaded by object
  7542 logics (again);
  7543 
  7544 * added prems argument to simplification procedures;
  7545 
  7546 * HOL, FOL, ZF: added infix function `addsplits':
  7547   instead of `<simpset> setloop (split_tac <thms>)'
  7548   you can simply write `<simpset> addsplits <thms>'
  7549 
  7550 
  7551 *** Syntax ***
  7552 
  7553 * TYPE('a) syntax for type reflection terms;
  7554 
  7555 * no longer handles consts with name "" -- declare as 'syntax' instead;
  7556 
  7557 * pretty printer: changed order of mixfix annotation preference (again!);
  7558 
  7559 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  7560 
  7561 
  7562 *** HOL ***
  7563 
  7564 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  7565   with `addloop' of the simplifier to faciliate case splitting in premises.
  7566 
  7567 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  7568 
  7569 * HOL/Auth: new protocol proofs including some for the Internet
  7570   protocol TLS;
  7571 
  7572 * HOL/Map: new theory of `maps' a la VDM;
  7573 
  7574 * HOL/simplifier: simplification procedures nat_cancel_sums for
  7575 cancelling out common nat summands from =, <, <= (in)equalities, or
  7576 differences; simplification procedures nat_cancel_factor for
  7577 cancelling common factor from =, <, <= (in)equalities over natural
  7578 sums; nat_cancel contains both kinds of procedures, it is installed by
  7579 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  7580 
  7581 * HOL/simplifier: terms of the form
  7582   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  7583   are rewritten to
  7584   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  7585   and those of the form
  7586   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  7587   are rewritten to
  7588   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  7589 
  7590 * HOL/datatype
  7591   Each datatype `t' now comes with a theorem `split_t_case' of the form
  7592 
  7593   P(t_case f1 ... fn x) =
  7594      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  7595         ...
  7596        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  7597      )
  7598 
  7599   and a theorem `split_t_case_asm' of the form
  7600 
  7601   P(t_case f1 ... fn x) =
  7602     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  7603         ...
  7604        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  7605      )
  7606   which can be added to a simpset via `addsplits'. The existing theorems
  7607   expand_list_case and expand_option_case have been renamed to
  7608   split_list_case and split_option_case.
  7609 
  7610 * HOL/Arithmetic:
  7611   - `pred n' is automatically converted to `n-1'.
  7612     Users are strongly encouraged not to use `pred' any longer,
  7613     because it will disappear altogether at some point.
  7614   - Users are strongly encouraged to write "0 < n" rather than
  7615     "n ~= 0". Theorems and proof tools have been modified towards this
  7616     `standard'.
  7617 
  7618 * HOL/Lists:
  7619   the function "set_of_list" has been renamed "set" (and its theorems too);
  7620   the function "nth" now takes its arguments in the reverse order and
  7621   has acquired the infix notation "!" as in "xs!n".
  7622 
  7623 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  7624 
  7625 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  7626   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  7627 
  7628 * HOL/record: extensible records with schematic structural subtyping
  7629 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  7630 still lacks various theorems and concrete record syntax;
  7631 
  7632 
  7633 *** HOLCF ***
  7634 
  7635 * removed "axioms" and "generated by" sections;
  7636 
  7637 * replaced "ops" section by extended "consts" section, which is capable of
  7638   handling the continuous function space "->" directly;
  7639 
  7640 * domain package:
  7641   . proves theorems immediately and stores them in the theory,
  7642   . creates hierachical name space,
  7643   . now uses normal mixfix annotations (instead of cinfix...),
  7644   . minor changes to some names and values (for consistency),
  7645   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  7646   . separator between mutual domain defs: changed "," to "and",
  7647   . improved handling of sort constraints;  now they have to
  7648     appear on the left-hand side of the equations only;
  7649 
  7650 * fixed LAM <x,y,zs>.b syntax;
  7651 
  7652 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  7653 adm (%x. P (t x)), where P is chainfinite and t continuous;
  7654 
  7655 
  7656 *** FOL and ZF ***
  7657 
  7658 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  7659   with `addloop' of the simplifier to faciliate case splitting in premises.
  7660 
  7661 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  7662 in HOL, they strip ALL and --> from proved theorems;
  7663 
  7664 
  7665 
  7666 New in Isabelle94-8 (May 1997)
  7667 ------------------------------
  7668 
  7669 *** General Changes ***
  7670 
  7671 * new utilities to build / run / maintain Isabelle etc. (in parts
  7672 still somewhat experimental); old Makefiles etc. still functional;
  7673 
  7674 * new 'Isabelle System Manual';
  7675 
  7676 * INSTALL text, together with ./configure and ./build scripts;
  7677 
  7678 * reimplemented type inference for greater efficiency, better error
  7679 messages and clean internal interface;
  7680 
  7681 * prlim command for dealing with lots of subgoals (an easier way of
  7682 setting goals_limit);
  7683 
  7684 
  7685 *** Syntax ***
  7686 
  7687 * supports alternative (named) syntax tables (parser and pretty
  7688 printer); internal interface is provided by add_modesyntax(_i);
  7689 
  7690 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  7691 be used in conjunction with the Isabelle symbol font; uses the
  7692 "symbols" syntax table;
  7693 
  7694 * added token_translation interface (may translate name tokens in
  7695 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  7696 the current print_mode); IMPORTANT: user print translation functions
  7697 are responsible for marking newly introduced bounds
  7698 (Syntax.mark_boundT);
  7699 
  7700 * token translations for modes "xterm" and "xterm_color" that display
  7701 names in bold, underline etc. or colors (which requires a color
  7702 version of xterm);
  7703 
  7704 * infixes may now be declared with names independent of their syntax;
  7705 
  7706 * added typed_print_translation (like print_translation, but may
  7707 access type of constant);
  7708 
  7709 
  7710 *** Classical Reasoner ***
  7711 
  7712 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  7713 some limitations.  Blast_tac...
  7714   + ignores addss, addbefore, addafter; this restriction is intrinsic
  7715   + ignores elimination rules that don't have the correct format
  7716         (the conclusion MUST be a formula variable)
  7717   + ignores types, which can make HOL proofs fail
  7718   + rules must not require higher-order unification, e.g. apply_type in ZF
  7719     [message "Function Var's argument not a bound variable" relates to this]
  7720   + its proof strategy is more general but can actually be slower
  7721 
  7722 * substitution with equality assumptions no longer permutes other
  7723 assumptions;
  7724 
  7725 * minor changes in semantics of addafter (now called addaltern); renamed
  7726 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  7727 (and access functions for it);
  7728 
  7729 * improved combination of classical reasoner and simplifier:
  7730   + functions for handling clasimpsets
  7731   + improvement of addss: now the simplifier is called _after_ the
  7732     safe steps.
  7733   + safe variant of addss called addSss: uses safe simplifications
  7734     _during_ the safe steps. It is more complete as it allows multiple
  7735     instantiations of unknowns (e.g. with slow_tac).
  7736 
  7737 *** Simplifier ***
  7738 
  7739 * added interface for simplification procedures (functions that
  7740 produce *proven* rewrite rules on the fly, depending on current
  7741 redex);
  7742 
  7743 * ordering on terms as parameter (used for ordered rewriting);
  7744 
  7745 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  7746 
  7747 * the solver is now split into a safe and an unsafe part.
  7748 This should be invisible for the normal user, except that the
  7749 functions setsolver and addsolver have been renamed to setSolver and
  7750 addSolver; added safe_asm_full_simp_tac;
  7751 
  7752 
  7753 *** HOL ***
  7754 
  7755 * a generic induction tactic `induct_tac' which works for all datatypes and
  7756 also for type `nat';
  7757 
  7758 * a generic case distinction tactic `exhaust_tac' which works for all
  7759 datatypes and also for type `nat';
  7760 
  7761 * each datatype comes with a function `size';
  7762 
  7763 * patterns in case expressions allow tuple patterns as arguments to
  7764 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  7765 
  7766 * primrec now also works with type nat;
  7767 
  7768 * recdef: a new declaration form, allows general recursive functions to be
  7769 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  7770 
  7771 * the constant for negation has been renamed from "not" to "Not" to
  7772 harmonize with FOL, ZF, LK, etc.;
  7773 
  7774 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  7775 infinite lists;
  7776 
  7777 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  7778 
  7779 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  7780 problems in commutative rings, using axiomatic type classes for + and *;
  7781 
  7782 * more examples in HOL/MiniML and HOL/Auth;
  7783 
  7784 * more default rewrite rules for quantifiers, union/intersection;
  7785 
  7786 * a new constant `arbitrary == @x.False';
  7787 
  7788 * HOLCF/IOA replaces old HOL/IOA;
  7789 
  7790 * HOLCF changes: derived all rules and arities
  7791   + axiomatic type classes instead of classes
  7792   + typedef instead of faking type definitions
  7793   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  7794   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  7795   + eliminated the types void, one, tr
  7796   + use unit lift and bool lift (with translations) instead of one and tr
  7797   + eliminated blift from Lift3.thy (use Def instead of blift)
  7798   all eliminated rules are derived as theorems --> no visible changes ;
  7799 
  7800 
  7801 *** ZF ***
  7802 
  7803 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  7804 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  7805 as ZF_cs addSIs [equalityI];
  7806 
  7807 
  7808 
  7809 New in Isabelle94-7 (November 96)
  7810 ---------------------------------
  7811 
  7812 * allowing negative levels (as offsets) in prlev and choplev;
  7813 
  7814 * super-linear speedup for large simplifications;
  7815 
  7816 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  7817 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  7818 FAIL); can suppress it using the command Delsimps (ex_simps @
  7819 all_simps); De Morgan laws are also now included, by default;
  7820 
  7821 * improved printing of ==>  :  ~:
  7822 
  7823 * new object-logic "Sequents" adds linear logic, while replacing LK
  7824 and Modal (thanks to Sara Kalvala);
  7825 
  7826 * HOL/Auth: correctness proofs for authentication protocols;
  7827 
  7828 * HOL: new auto_tac combines rewriting and classical reasoning (many
  7829 examples on HOL/Auth);
  7830 
  7831 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  7832 the rewriter and classical reasoner simultaneously;
  7833 
  7834 * function uresult no longer returns theorems in "standard" format;
  7835 regain previous version by: val uresult = standard o uresult;
  7836 
  7837 
  7838 
  7839 New in Isabelle94-6
  7840 -------------------
  7841 
  7842 * oracles -- these establish an interface between Isabelle and trusted
  7843 external reasoners, which may deliver results as theorems;
  7844 
  7845 * proof objects (in particular record all uses of oracles);
  7846 
  7847 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  7848 
  7849 * "constdefs" section in theory files;
  7850 
  7851 * "primrec" section (HOL) no longer requires names;
  7852 
  7853 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  7854 
  7855 
  7856 
  7857 New in Isabelle94-5
  7858 -------------------
  7859 
  7860 * reduced space requirements;
  7861 
  7862 * automatic HTML generation from theories;
  7863 
  7864 * theory files no longer require "..." (quotes) around most types;
  7865 
  7866 * new examples, including two proofs of the Church-Rosser theorem;
  7867 
  7868 * non-curried (1994) version of HOL is no longer distributed;
  7869 
  7870 
  7871 
  7872 New in Isabelle94-4
  7873 -------------------
  7874 
  7875 * greatly reduced space requirements;
  7876 
  7877 * theory files (.thy) no longer require \...\ escapes at line breaks;
  7878 
  7879 * searchable theorem database (see the section "Retrieving theorems" on
  7880 page 8 of the Reference Manual);
  7881 
  7882 * new examples, including Grabczewski's monumental case study of the
  7883 Axiom of Choice;
  7884 
  7885 * The previous version of HOL renamed to Old_HOL;
  7886 
  7887 * The new version of HOL (previously called CHOL) uses a curried syntax
  7888 for functions.  Application looks like f a b instead of f(a,b);
  7889 
  7890 * Mutually recursive inductive definitions finally work in HOL;
  7891 
  7892 * In ZF, pattern-matching on tuples is now available in all abstractions and
  7893 translates to the operator "split";
  7894 
  7895 
  7896 
  7897 New in Isabelle94-3
  7898 -------------------
  7899 
  7900 * new infix operator, addss, allowing the classical reasoner to
  7901 perform simplification at each step of its search.  Example:
  7902         fast_tac (cs addss ss)
  7903 
  7904 * a new logic, CHOL, the same as HOL, but with a curried syntax
  7905 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  7906 look like (a,b) instead of <a,b>;
  7907 
  7908 * PLEASE NOTE: CHOL will eventually replace HOL!
  7909 
  7910 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  7911 It translates to the operator "split".  A new theory of integers is available;
  7912 
  7913 * In ZF, integer numerals now denote two's-complement binary integers.
  7914 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  7915 
  7916 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  7917 of the Axiom of Choice;
  7918 
  7919 
  7920 
  7921 New in Isabelle94-2
  7922 -------------------
  7923 
  7924 * Significantly faster resolution;
  7925 
  7926 * the different sections in a .thy file can now be mixed and repeated
  7927 freely;
  7928 
  7929 * Database of theorems for FOL, HOL and ZF.  New
  7930 commands including qed, qed_goal and bind_thm store theorems in the database.
  7931 
  7932 * Simple database queries: return a named theorem (get_thm) or all theorems of
  7933 a given theory (thms_of), or find out what theory a theorem was proved in
  7934 (theory_of_thm);
  7935 
  7936 * Bugs fixed in the inductive definition and datatype packages;
  7937 
  7938 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  7939 and HOL_dup_cs obsolete;
  7940 
  7941 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  7942 have been removed;
  7943 
  7944 * Simpler definition of function space in ZF;
  7945 
  7946 * new results about cardinal and ordinal arithmetic in ZF;
  7947 
  7948 * 'subtype' facility in HOL for introducing new types as subsets of existing
  7949 types;
  7950 
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