NEWS
author wenzelm
Tue, 01 Jun 2010 13:54:33 +0200
changeset 37245 873eb173ffd2
parent 37218 ffd587207d5d
child 37272 4a7fe945412d
permissions -rw-r--r--
use local /home/isatest/polyml-5.3.0 on atbroy102 to avoid problems with the SMB filesystem via homebroy;
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in Isabelle2009-2 (June 2010)
     5 ---------------------------------
     6 
     7 *** General ***
     8 
     9 * Schematic theorem statements need to be explicitly markup as such,
    10 via commands 'schematic_lemma', 'schematic_theorem',
    11 'schematic_corollary'.  Thus the relevance of the proof is made
    12 syntactically clear, which impacts performance in a parallel or
    13 asynchronous interactive environment.  Minor INCOMPATIBILITY.
    14 
    15 * Authentic syntax for *all* logical entities (type classes, type
    16 constructors, term constants): provides simple and robust
    17 correspondence between formal entities and concrete syntax.  Within
    18 the parse tree / AST representations, "constants" are decorated by
    19 their category (class, type, const) and spelled out explicitly with
    20 their full internal name.
    21 
    22 Substantial INCOMPATIBILITY concerning low-level syntax declarations
    23 and translations (translation rules and translation functions in ML).
    24 Some hints on upgrading:
    25 
    26   - Many existing uses of 'syntax' and 'translations' can be replaced
    27     by more modern 'type_notation', 'notation' and 'abbreviation',
    28     which are independent of this issue.
    29 
    30   - 'translations' require markup within the AST; the term syntax
    31     provides the following special forms:
    32 
    33       CONST c   -- produces syntax version of constant c from context
    34       XCONST c  -- literally c, checked as constant from context
    35       c         -- literally c, if declared by 'syntax'
    36 
    37     Plain identifiers are treated as AST variables -- occasionally the
    38     system indicates accidental variables via the error "rhs contains
    39     extra variables".
    40 
    41     Type classes and type constructors are marked according to their
    42     concrete syntax.  Some old translations rules need to be written
    43     for the "type" category, using type constructor application
    44     instead of pseudo-term application of the default category
    45     "logic".
    46 
    47   - 'parse_translation' etc. in ML may use the following
    48     antiquotations:
    49 
    50       @{class_syntax c}   -- type class c within parse tree / AST
    51       @{term_syntax c}    -- type constructor c within parse tree / AST
    52       @{const_syntax c}   -- ML version of "CONST c" above
    53       @{syntax_const c}   -- literally c (checked wrt. 'syntax' declarations)
    54 
    55   - Literal types within 'typed_print_translations', i.e. those *not*
    56     represented as pseudo-terms are represented verbatim.  Use @{class
    57     c} or @{type_name c} here instead of the above syntax
    58     antiquotations.
    59 
    60 Note that old non-authentic syntax was based on unqualified base
    61 names, so all of the above "constant" names would coincide.  Recall
    62 that 'print_syntax' and ML_command "set Syntax.trace_ast" help to
    63 diagnose syntax problems.
    64 
    65 * Type constructors admit general mixfix syntax, not just infix.
    66 
    67 * Concrete syntax may be attached to local entities without a proof
    68 body, too.  This works via regular mixfix annotations for 'fix',
    69 'def', 'obtain' etc. or via the explicit 'write' command, which is
    70 similar to the 'notation' command in theory specifications.
    71 
    72 * Use of cumulative prems via "!" in some proof methods has been
    73 discontinued (legacy feature).
    74 
    75 * References 'trace_simp' and 'debug_simp' have been replaced by
    76 configuration options stored in the context. Enabling tracing (the
    77 case of debugging is similar) in proofs works via
    78 
    79   using [[trace_simp = true]]
    80 
    81 Tracing is then active for all invocations of the simplifier in
    82 subsequent goal refinement steps. Tracing may also still be enabled or
    83 disabled via the ProofGeneral settings menu.
    84 
    85 * Separate commands 'hide_class', 'hide_type', 'hide_const',
    86 'hide_fact' replace the former 'hide' KIND command.  Minor
    87 INCOMPATIBILITY.
    88 
    89 
    90 *** Pure ***
    91 
    92 * Predicates of locales introduces by classes carry a mandatory
    93 "class" prefix.  INCOMPATIBILITY.
    94 
    95 * Command 'code_reflect' allows to incorporate generated ML code into
    96 runtime environment; replaces immature code_datatype antiquotation.
    97 INCOMPATIBILITY.
    98 
    99 * Empty class specifications observe default sort.  INCOMPATIBILITY.
   100 
   101 * Old 'axclass' command has been discontinued.  Use 'class' instead.
   102 INCOMPATIBILITY.
   103 
   104 * Code generator: simple concept for abstract datatypes obeying
   105 invariants.
   106 
   107 * Local theory specifications may depend on extra type variables that
   108 are not present in the result type -- arguments TYPE('a) :: 'a itself
   109 are added internally.  For example:
   110 
   111   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
   112 
   113 * Code generator: details of internal data cache have no impact on the
   114 user space functionality any longer.
   115 
   116 * Methods unfold_locales and intro_locales ignore non-locale subgoals.
   117 This is more appropriate for interpretations with 'where'.
   118 INCOMPATIBILITY.
   119 
   120 * Discontinued unnamed infix syntax (legacy feature for many years) --
   121 need to specify constant name and syntax separately.  Internal ML
   122 datatype constructors have been renamed from InfixName to Infix etc.
   123 Minor INCOMPATIBILITY.
   124 
   125 * Command 'example_proof' opens an empty proof body.  This allows to
   126 experiment with Isar, without producing any persistent result.
   127 
   128 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   129 within a local theory context, with explicit checking of the
   130 constructors involved (in contrast to the raw 'syntax' versions).
   131 
   132 * Commands 'types' and 'typedecl' now work within a local theory
   133 context -- without introducing dependencies on parameters or
   134 assumptions, which is not possible in Isabelle/Pure.
   135 
   136 * Command 'defaultsort' has been renamed to 'default_sort', it works
   137 within a local theory context.  Minor INCOMPATIBILITY.
   138 
   139 * Proof terms: Type substitutions on proof constants now use canonical
   140 order of type variables. Potential INCOMPATIBILITY for tools working
   141 with proof terms.
   142 
   143 
   144 *** HOL ***
   145 
   146 * List membership infix mem operation is only an input abbreviation.
   147 INCOMPATIBILITY.
   148 
   149 * Theory Library/Word.thy has been removed.  Use library Word/Word.thy
   150 for future developements; former Library/Word.thy is still present in
   151 the AFP entry RSAPPS.
   152 
   153 * Theorem Int.int_induct renamed to Int.int_of_nat_induct and is no
   154 longer shadowed.  INCOMPATIBILITY.
   155 
   156 * Dropped theorem duplicate comp_arith; use semiring_norm instead.
   157 INCOMPATIBILITY.
   158 
   159 * Dropped theorem RealPow.real_sq_order; use power2_le_imp_le instead.
   160 INCOMPATIBILITY.
   161 
   162 * Dropped normalizing_semiring etc; use the facts in semiring classes
   163 instead.  INCOMPATIBILITY.
   164 
   165 * Dropped several real-specific versions of lemmas about floor and
   166 ceiling; use the generic lemmas from Archimedean_Field.thy instead.
   167 INCOMPATIBILITY.
   168 
   169   floor_number_of_eq         ~> floor_number_of
   170   le_floor_eq_number_of      ~> number_of_le_floor
   171   le_floor_eq_zero           ~> zero_le_floor
   172   le_floor_eq_one            ~> one_le_floor
   173   floor_less_eq_number_of    ~> floor_less_number_of
   174   floor_less_eq_zero         ~> floor_less_zero
   175   floor_less_eq_one          ~> floor_less_one
   176   less_floor_eq_number_of    ~> number_of_less_floor
   177   less_floor_eq_zero         ~> zero_less_floor
   178   less_floor_eq_one          ~> one_less_floor
   179   floor_le_eq_number_of      ~> floor_le_number_of
   180   floor_le_eq_zero           ~> floor_le_zero
   181   floor_le_eq_one            ~> floor_le_one
   182   floor_subtract_number_of   ~> floor_diff_number_of
   183   floor_subtract_one         ~> floor_diff_one
   184   ceiling_number_of_eq       ~> ceiling_number_of
   185   ceiling_le_eq_number_of    ~> ceiling_le_number_of
   186   ceiling_le_zero_eq         ~> ceiling_le_zero
   187   ceiling_le_eq_one          ~> ceiling_le_one
   188   less_ceiling_eq_number_of  ~> number_of_less_ceiling
   189   less_ceiling_eq_zero       ~> zero_less_ceiling
   190   less_ceiling_eq_one        ~> one_less_ceiling
   191   ceiling_less_eq_number_of  ~> ceiling_less_number_of
   192   ceiling_less_eq_zero       ~> ceiling_less_zero
   193   ceiling_less_eq_one        ~> ceiling_less_one
   194   le_ceiling_eq_number_of    ~> number_of_le_ceiling
   195   le_ceiling_eq_zero         ~> zero_le_ceiling
   196   le_ceiling_eq_one          ~> one_le_ceiling
   197   ceiling_subtract_number_of ~> ceiling_diff_number_of
   198   ceiling_subtract_one       ~> ceiling_diff_one
   199 
   200 * Theory "Finite_Set": various folding_XXX locales facilitate the
   201 application of the various fold combinators on finite sets.
   202 
   203 * Library theory "RBT" renamed to "RBT_Impl"; new library theory "RBT"
   204 provides abstract red-black tree type which is backed by "RBT_Impl" as
   205 implementation.  INCOMPATIBILTY.
   206 
   207 * Command 'typedef' now works within a local theory context -- without
   208 introducing dependencies on parameters or assumptions, which is not
   209 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   210 contain multiple interpretations of local typedefs (with different
   211 non-emptiness proofs), even in a global theory context.
   212 
   213 * Theory Library/Coinductive_List has been removed -- superseded by
   214 AFP/thys/Coinductive.
   215 
   216 * Theory PReal, including the type "preal" and related operations, has
   217 been removed.  INCOMPATIBILITY.
   218 
   219 * Split off theory Big_Operators containing setsum, setprod, Inf_fin,
   220 Sup_fin, Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   221 
   222 * Theory "Rational" renamed to "Rat", for consistency with "Nat",
   223 "Int" etc.  INCOMPATIBILITY.
   224 
   225 * Constant Rat.normalize needs to be qualified.  Minor
   226 INCOMPATIBILITY.
   227 
   228 * New set of rules "ac_simps" provides combined assoc / commute
   229 rewrites for all interpretations of the appropriate generic locales.
   230 
   231 * Renamed theory "OrderedGroup" to "Groups" and split theory
   232 "Ring_and_Field" into theories "Rings" and "Fields"; for more
   233 appropriate and more consistent names suitable for name prefixes
   234 within the HOL theories.  INCOMPATIBILITY.
   235 
   236 * Some generic constants have been put to appropriate theories:
   237   - less_eq, less: Orderings
   238   - zero, one, plus, minus, uminus, times, abs, sgn: Groups
   239   - inverse, divide: Rings
   240 INCOMPATIBILITY.
   241 
   242 * More consistent naming of type classes involving orderings (and
   243 lattices):
   244 
   245     lower_semilattice                   ~> semilattice_inf
   246     upper_semilattice                   ~> semilattice_sup
   247 
   248     dense_linear_order                  ~> dense_linorder
   249 
   250     pordered_ab_group_add               ~> ordered_ab_group_add
   251     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   252     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   253     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   254     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   255     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   256     pordered_cancel_semiring            ~> ordered_cancel_semiring
   257     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   258     pordered_comm_ring                  ~> ordered_comm_ring
   259     pordered_comm_semiring              ~> ordered_comm_semiring
   260     pordered_ring                       ~> ordered_ring
   261     pordered_ring_abs                   ~> ordered_ring_abs
   262     pordered_semiring                   ~> ordered_semiring
   263 
   264     ordered_ab_group_add                ~> linordered_ab_group_add
   265     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   266     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   267     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   268     ordered_field                       ~> linordered_field
   269     ordered_field_no_lb                 ~> linordered_field_no_lb
   270     ordered_field_no_ub                 ~> linordered_field_no_ub
   271     ordered_field_dense_linear_order    ~> dense_linordered_field
   272     ordered_idom                        ~> linordered_idom
   273     ordered_ring                        ~> linordered_ring
   274     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   275     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   276     ordered_ring_strict                 ~> linordered_ring_strict
   277     ordered_semidom                     ~> linordered_semidom
   278     ordered_semiring                    ~> linordered_semiring
   279     ordered_semiring_1                  ~> linordered_semiring_1
   280     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   281     ordered_semiring_strict             ~> linordered_semiring_strict
   282 
   283   The following slightly odd type classes have been moved to a
   284   separate theory Library/Lattice_Algebras.thy:
   285 
   286     lordered_ab_group_add               ~> lattice_ab_group_add
   287     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   288     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   289     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   290     lordered_ring                       ~> lattice_ring
   291 
   292 INCOMPATIBILITY.
   293 
   294 * Refined field classes:
   295   - classes division_ring_inverse_zero, field_inverse_zero,
   296     linordered_field_inverse_zero include rule inverse 0 = 0 --
   297     subsumes former division_by_zero class;
   298   - numerous lemmas have been ported from field to division_ring.
   299 INCOMPATIBILITY.
   300 
   301 * Refined algebra theorem collections:
   302   - dropped theorem group group_simps, use algebra_simps instead;
   303   - dropped theorem group ring_simps, use field_simps instead;
   304   - proper theorem collection field_simps subsumes former theorem
   305     groups field_eq_simps and field_simps;
   306   - dropped lemma eq_minus_self_iff which is a duplicate for
   307     equal_neg_zero.
   308 INCOMPATIBILITY.
   309 
   310 * Theory Finite_Set and List: some lemmas have been generalized from
   311 sets to lattices:
   312 
   313   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
   314   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
   315   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
   316   union_Union_fold_union        ~> sup_Sup_fold_sup
   317   Inter_fold_inter              ~> Inf_fold_inf
   318   Union_fold_union              ~> Sup_fold_sup
   319   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
   320   union_UNION_fold_union        ~> sup_SUPR_fold_sup
   321   INTER_fold_inter              ~> INFI_fold_inf
   322   UNION_fold_union              ~> SUPR_fold_sup
   323 
   324 * Theory Complete_Lattice: lemmas top_def and bot_def have been
   325 replaced by the more convenient lemmas Inf_empty and Sup_empty.
   326 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
   327 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
   328 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
   329 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
   330 
   331 * HOLogic.strip_psplit: types are returned in syntactic order, similar
   332 to other strip and tuple operations.  INCOMPATIBILITY.
   333 
   334 * Reorganized theory Multiset: swapped notation of pointwise and
   335 multiset order:
   336   - pointwise ordering is instance of class order with standard syntax
   337     <= and <;
   338   - multiset ordering has syntax <=# and <#; partial order properties
   339     are provided by means of interpretation with prefix
   340     multiset_order;
   341   - less duplication, less historical organization of sections,
   342     conversion from associations lists to multisets, rudimentary code
   343     generation;
   344   - use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union,
   345     if needed.
   346 Renamed:
   347   multiset_eq_conv_count_eq -> multiset_ext_iff
   348   multi_count_ext -> multiset_ext
   349   diff_union_inverse2 -> diff_union_cancelR
   350 INCOMPATIBILITY.
   351 
   352 * Theory Permutation: replaced local "remove" by List.remove1.
   353 
   354 * Code generation: ML and OCaml code is decorated with signatures.
   355 
   356 * Theory List: added transpose.
   357 
   358 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   359 clash with new theory Quotient in Main HOL.
   360 
   361 * Library/Nat_Bijection.thy is a collection of bijective functions
   362 between nat and other types, which supersedes the older libraries
   363 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
   364 
   365   Constants:
   366   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
   367   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
   368   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
   369   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
   370   Countable.pair_encode           ~> prod_encode
   371   NatIso.prod2nat                 ~> prod_encode
   372   NatIso.nat2prod                 ~> prod_decode
   373   NatIso.sum2nat                  ~> sum_encode
   374   NatIso.nat2sum                  ~> sum_decode
   375   NatIso.list2nat                 ~> list_encode
   376   NatIso.nat2list                 ~> list_decode
   377   NatIso.set2nat                  ~> set_encode
   378   NatIso.nat2set                  ~> set_decode
   379 
   380   Lemmas:
   381   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
   382   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
   383   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
   384   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
   385   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
   386   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
   387   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
   388   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
   389   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
   390   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
   391   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
   392   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
   393   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
   394 
   395 * Sledgehammer:
   396   - Renamed ATP commands:
   397     atp_info     ~> sledgehammer running_atps
   398     atp_kill     ~> sledgehammer kill_atps
   399     atp_messages ~> sledgehammer messages
   400     atp_minimize ~> sledgehammer minimize
   401     print_atps   ~> sledgehammer available_atps
   402     INCOMPATIBILITY.
   403   - Added user's manual ("isabelle doc sledgehammer").
   404   - Added option syntax and "sledgehammer_params" to customize
   405     Sledgehammer's behavior.  See the manual for details.
   406   - Modified the Isar proof reconstruction code so that it produces
   407     direct proofs rather than proofs by contradiction.  (This feature
   408     is still experimental.)
   409   - Made Isar proof reconstruction work for SPASS, remote ATPs, and in
   410     full-typed mode.
   411   - Added support for TPTP syntax for SPASS via the "spass_tptp" ATP.
   412 
   413 * Nitpick:
   414   - Added and implemented "binary_ints" and "bits" options.
   415   - Added "std" option and implemented support for nonstandard models.
   416   - Added and implemented "finitize" option to improve the precision
   417     of infinite datatypes based on a monotonicity analysis.
   418   - Added support for quotient types.
   419   - Added support for "specification" and "ax_specification"
   420     constructs.
   421   - Added support for local definitions (for "function" and
   422     "termination" proofs).
   423   - Added support for term postprocessors.
   424   - Optimized "Multiset.multiset" and "FinFun.finfun".
   425   - Improved efficiency of "destroy_constrs" optimization.
   426   - Fixed soundness bugs related to "destroy_constrs" optimization and
   427     record getters.
   428   - Fixed soundness bug related to higher-order constructors
   429   - Improved precision of set constructs.
   430   - Added cache to speed up repeated Kodkod invocations on the same
   431     problems.
   432   - Renamed "MiniSatJNI", "zChaffJNI", "BerkMinAlloy", and
   433     "SAT4JLight" to "MiniSat_JNI", "zChaff_JNI", "BerkMin_Alloy", and
   434     "SAT4J_Light".  INCOMPATIBILITY.
   435   - Removed "skolemize", "uncurry", "sym_break", "flatten_prop",
   436     "sharing_depth", and "show_skolems" options.  INCOMPATIBILITY.
   437 
   438 * Moved the SMT binding into the HOL image.
   439 
   440 
   441 *** HOLCF ***
   442 
   443 * Variable names in lemmas generated by the domain package have
   444 changed; the naming scheme is now consistent with the HOL datatype
   445 package.  Some proof scripts may be affected, INCOMPATIBILITY.
   446 
   447 * The domain package no longer defines the function "foo_copy" for
   448 recursive domain "foo".  The reach lemma is now stated directly in
   449 terms of "foo_take".  Lemmas and proofs that mention "foo_copy" must
   450 be reformulated in terms of "foo_take", INCOMPATIBILITY.
   451 
   452 * Most definedness lemmas generated by the domain package (previously
   453 of the form "x ~= UU ==> foo$x ~= UU") now have an if-and-only-if form
   454 like "foo$x = UU <-> x = UU", which works better as a simp rule.
   455 Proof scripts that used definedness lemmas as intro rules may break,
   456 potential INCOMPATIBILITY.
   457 
   458 * Induction and casedist rules generated by the domain package now
   459 declare proper case_names (one called "bottom", and one named for each
   460 constructor).  INCOMPATIBILITY.
   461 
   462 * For mutually-recursive domains, separate "reach" and "take_lemma"
   463 rules are generated for each domain, INCOMPATIBILITY.
   464 
   465   foo_bar.reach       ~> foo.reach  bar.reach
   466   foo_bar.take_lemmas ~> foo.take_lemma  bar.take_lemma
   467 
   468 * Some lemmas generated by the domain package have been renamed for
   469 consistency with the datatype package, INCOMPATIBILITY.
   470 
   471   foo.ind        ~> foo.induct
   472   foo.finite_ind ~> foo.finite_induct
   473   foo.coind      ~> foo.coinduct
   474   foo.casedist   ~> foo.exhaust
   475   foo.exhaust    ~> foo.nchotomy
   476 
   477 * For consistency with other definition packages, the fixrec package
   478 now generates qualified theorem names, INCOMPATIBILITY.
   479 
   480   foo_simps  ~> foo.simps
   481   foo_unfold ~> foo.unfold
   482   foo_induct ~> foo.induct
   483 
   484 * The "fixrec_simp" attribute has been removed.  The "fixrec_simp"
   485 method and internal fixrec proofs now use the default simpset instead.
   486 INCOMPATIBILITY.
   487 
   488 * The "contlub" predicate has been removed.  Proof scripts should use
   489 lemma contI2 in place of monocontlub2cont, INCOMPATIBILITY.
   490 
   491 * The "admw" predicate has been removed, INCOMPATIBILITY.
   492 
   493 * The constants cpair, cfst, and csnd have been removed in favor of
   494 Pair, fst, and snd from Isabelle/HOL, INCOMPATIBILITY.
   495 
   496 
   497 *** ML ***
   498 
   499 * Renamed some important ML structures, while keeping the old names
   500 for some time as aliases within the structure Legacy:
   501 
   502   OuterKeyword  ~>  Keyword
   503   OuterLex      ~>  Token
   504   OuterParse    ~>  Parse
   505   OuterSyntax   ~>  Outer_Syntax
   506   PrintMode     ~>  Print_Mode
   507   SpecParse     ~>  Parse_Spec
   508   ThyInfo       ~>  Thy_Info
   509   ThyLoad       ~>  Thy_Load
   510   ThyOutput     ~>  Thy_Output
   511   TypeInfer     ~>  Type_Infer
   512 
   513 Note that "open Legacy" simplifies porting of sources, but forgetting
   514 to remove it again will complicate porting again in the future.
   515 
   516 * Most operations that refer to a global context are named
   517 accordingly, e.g. Simplifier.global_context or
   518 ProofContext.init_global.  There are some situations where a global
   519 context actually works, but under normal circumstances one needs to
   520 pass the proper local context through the code!
   521 
   522 * Discontinued old TheoryDataFun with its copy/init operation -- data
   523 needs to be pure.  Functor Theory_Data_PP retains the traditional
   524 Pretty.pp argument to merge, which is absent in the standard
   525 Theory_Data version.
   526 
   527 * Antiquotations for basic formal entities:
   528 
   529     @{class NAME}         -- type class
   530     @{class_syntax NAME}  -- syntax representation of the above
   531 
   532     @{type_name NAME}     -- logical type
   533     @{type_abbrev NAME}   -- type abbreviation
   534     @{nonterminal NAME}   -- type of concrete syntactic category
   535     @{type_syntax NAME}   -- syntax representation of any of the above
   536 
   537     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
   538     @{const_abbrev NAME}  -- abbreviated constant
   539     @{const_syntax NAME}  -- syntax representation of any of the above
   540 
   541 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
   542 syntax constant (cf. 'syntax' command).
   543 
   544 * Antiquotation @{make_string} inlines a function to print arbitrary
   545 values similar to the ML toplevel.  The result is compiler dependent
   546 and may fall back on "?" in certain situations.
   547 
   548 * Sorts.certify_sort and derived "cert" operations for types and terms
   549 no longer minimize sorts.  Thus certification at the boundary of the
   550 inference kernel becomes invariant under addition of class relations,
   551 which is an important monotonicity principle.  Sorts are now minimized
   552 in the syntax layer only, at the boundary between the end-user and the
   553 system.  Subtle INCOMPATIBILITY, may have to use Sign.minimize_sort
   554 explicitly in rare situations.
   555 
   556 * Renamed old-style Drule.standard to Drule.export_without_context, to
   557 emphasize that this is in no way a standard operation.
   558 INCOMPATIBILITY.
   559 
   560 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
   561 usual for resolution.  Rare INCOMPATIBILITY.
   562 
   563 * Renamed varify/unvarify operations to varify_global/unvarify_global
   564 to emphasize that these only work in a global situation (which is
   565 quite rare).
   566 
   567 * Configuration options now admit dynamic default values, depending on
   568 the context or even global references.
   569 
   570 * SHA1.digest digests strings according to SHA-1 (see RFC 3174).  It
   571 uses an efficient external library if available (for Poly/ML).
   572 
   573 * Curried take and drop in library.ML; negative length is interpreted
   574 as infinity (as in chop).  Subtle INCOMPATIBILITY.
   575 
   576 
   577 *** System ***
   578 
   579 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
   580 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
   581 proof terms are enabled unconditionally in the new HOL-Proofs image.
   582 
   583 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
   584 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
   585 respectively.
   586 
   587 * Old lib/scripts/polyml-platform is superseded by the
   588 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
   589 variant, even on a 64 bit machine.  The following example setting
   590 prefers 64 bit if available:
   591 
   592   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
   593 
   594 * The preliminary Isabelle/jEdit application demonstrates the emerging
   595 Isabelle/Scala layer for advanced prover interaction and integration.
   596 See src/Tools/jEdit or "isabelle jedit" provided by the properly built
   597 component.
   598 
   599 
   600 
   601 New in Isabelle2009-1 (December 2009)
   602 -------------------------------------
   603 
   604 *** General ***
   605 
   606 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
   607 one backslash should be used, even in ML sources.
   608 
   609 
   610 *** Pure ***
   611 
   612 * Locale interpretation propagates mixins along the locale hierarchy.
   613 The currently only available mixins are the equations used to map
   614 local definitions to terms of the target domain of an interpretation.
   615 
   616 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
   617 loc" to print all interpretations of locale "loc" in the theory.
   618 Interpretations in proofs are not shown.
   619 
   620 * Thoroughly revised locales tutorial.  New section on conditional
   621 interpretation.
   622 
   623 * On instantiation of classes, remaining undefined class parameters
   624 are formally declared.  INCOMPATIBILITY.
   625 
   626 
   627 *** Document preparation ***
   628 
   629 * New generalized style concept for printing terms: @{foo (style) ...}
   630 instead of @{foo_style style ...}  (old form is still retained for
   631 backward compatibility).  Styles can be also applied for
   632 antiquotations prop, term_type and typeof.
   633 
   634 
   635 *** HOL ***
   636 
   637 * New proof method "smt" for a combination of first-order logic with
   638 equality, linear and nonlinear (natural/integer/real) arithmetic, and
   639 fixed-size bitvectors; there is also basic support for higher-order
   640 features (esp. lambda abstractions).  It is an incomplete decision
   641 procedure based on external SMT solvers using the oracle mechanism;
   642 for the SMT solver Z3, this method is proof-producing.  Certificates
   643 are provided to avoid calling the external solvers solely for
   644 re-checking proofs.  Due to a remote SMT service there is no need for
   645 installing SMT solvers locally.  See src/HOL/SMT.
   646 
   647 * New commands to load and prove verification conditions generated by
   648 the Boogie program verifier or derived systems (e.g. the Verifying C
   649 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
   650 
   651 * New counterexample generator tool 'nitpick' based on the Kodkod
   652 relational model finder.  See src/HOL/Tools/Nitpick and
   653 src/HOL/Nitpick_Examples.
   654 
   655 * New commands 'code_pred' and 'values' to invoke the predicate
   656 compiler and to enumerate values of inductive predicates.
   657 
   658 * A tabled implementation of the reflexive transitive closure.
   659 
   660 * New implementation of quickcheck uses generic code generator;
   661 default generators are provided for all suitable HOL types, records
   662 and datatypes.  Old quickcheck can be re-activated importing theory
   663 Library/SML_Quickcheck.
   664 
   665 * New testing tool Mirabelle for automated proof tools.  Applies
   666 several tools and tactics like sledgehammer, metis, or quickcheck, to
   667 every proof step in a theory.  To be used in batch mode via the
   668 "mirabelle" utility.
   669 
   670 * New proof method "sos" (sum of squares) for nonlinear real
   671 arithmetic (originally due to John Harison). It requires theory
   672 Library/Sum_Of_Squares.  It is not a complete decision procedure but
   673 works well in practice on quantifier-free real arithmetic with +, -,
   674 *, ^, =, <= and <, i.e. boolean combinations of equalities and
   675 inequalities between polynomials.  It makes use of external
   676 semidefinite programming solvers.  Method "sos" generates a
   677 certificate that can be pasted into the proof thus avoiding the need
   678 to call an external tool every time the proof is checked.  See
   679 src/HOL/Library/Sum_Of_Squares.
   680 
   681 * New method "linarith" invokes existing linear arithmetic decision
   682 procedure only.
   683 
   684 * New command 'atp_minimal' reduces result produced by Sledgehammer.
   685 
   686 * New Sledgehammer option "Full Types" in Proof General settings menu.
   687 Causes full type information to be output to the ATPs.  This slows
   688 ATPs down considerably but eliminates a source of unsound "proofs"
   689 that fail later.
   690 
   691 * New method "metisFT": A version of metis that uses full type
   692 information in order to avoid failures of proof reconstruction.
   693 
   694 * New evaluator "approximate" approximates an real valued term using
   695 the same method as the approximation method.
   696 
   697 * Method "approximate" now supports arithmetic expressions as
   698 boundaries of intervals and implements interval splitting and Taylor
   699 series expansion.
   700 
   701 * ML antiquotation @{code_datatype} inserts definition of a datatype
   702 generated by the code generator; e.g. see src/HOL/Predicate.thy.
   703 
   704 * New theory SupInf of the supremum and infimum operators for sets of
   705 reals.
   706 
   707 * New theory Probability, which contains a development of measure
   708 theory, eventually leading to Lebesgue integration and probability.
   709 
   710 * Extended Multivariate Analysis to include derivation and Brouwer's
   711 fixpoint theorem.
   712 
   713 * Reorganization of number theory, INCOMPATIBILITY:
   714   - new number theory development for nat and int, in theories Divides
   715     and GCD as well as in new session Number_Theory
   716   - some constants and facts now suffixed with _nat and _int
   717     accordingly
   718   - former session NumberTheory now named Old_Number_Theory, including
   719     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
   720   - moved theory Pocklington from src/HOL/Library to
   721     src/HOL/Old_Number_Theory
   722 
   723 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
   724 lcm of finite and infinite sets. It is shown that they form a complete
   725 lattice.
   726 
   727 * Class semiring_div requires superclass no_zero_divisors and proof of
   728 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
   729 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
   730 generalized to class semiring_div, subsuming former theorems
   731 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
   732 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
   733 INCOMPATIBILITY.
   734 
   735 * Refinements to lattice classes and sets:
   736   - less default intro/elim rules in locale variant, more default
   737     intro/elim rules in class variant: more uniformity
   738   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
   739     le_inf_iff
   740   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
   741     sup_aci)
   742   - renamed ACI to inf_sup_aci
   743   - new class "boolean_algebra"
   744   - class "complete_lattice" moved to separate theory
   745     "Complete_Lattice"; corresponding constants (and abbreviations)
   746     renamed and with authentic syntax:
   747     Set.Inf ~>    Complete_Lattice.Inf
   748     Set.Sup ~>    Complete_Lattice.Sup
   749     Set.INFI ~>   Complete_Lattice.INFI
   750     Set.SUPR ~>   Complete_Lattice.SUPR
   751     Set.Inter ~>  Complete_Lattice.Inter
   752     Set.Union ~>  Complete_Lattice.Union
   753     Set.INTER ~>  Complete_Lattice.INTER
   754     Set.UNION ~>  Complete_Lattice.UNION
   755   - authentic syntax for
   756     Set.Pow
   757     Set.image
   758   - mere abbreviations:
   759     Set.empty               (for bot)
   760     Set.UNIV                (for top)
   761     Set.inter               (for inf, formerly Set.Int)
   762     Set.union               (for sup, formerly Set.Un)
   763     Complete_Lattice.Inter  (for Inf)
   764     Complete_Lattice.Union  (for Sup)
   765     Complete_Lattice.INTER  (for INFI)
   766     Complete_Lattice.UNION  (for SUPR)
   767   - object-logic definitions as far as appropriate
   768 
   769 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
   770 Un_subset_iff are explicitly deleted as default simp rules; then also
   771 their lattice counterparts le_inf_iff and le_sup_iff have to be
   772 deleted to achieve the desired effect.
   773 
   774 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
   775 rules by default any longer; the same applies to min_max.inf_absorb1
   776 etc.  INCOMPATIBILITY.
   777 
   778 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
   779 pred_set_conv by default.  INCOMPATIBILITY.
   780 
   781 * Power operations on relations and functions are now one dedicated
   782 constant "compow" with infix syntax "^^".  Power operation on
   783 multiplicative monoids retains syntax "^" and is now defined generic
   784 in class power.  INCOMPATIBILITY.
   785 
   786 * Relation composition "R O S" now has a more standard argument order:
   787 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
   788 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
   789 break, since the O_assoc rule was not rewritten like this.  Fix using
   790 O_assoc[symmetric].  The same applies to the curried version "R OO S".
   791 
   792 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
   793 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
   794 INCOMPATIBILITY.
   795 
   796 * Most rules produced by inductive and datatype package have mandatory
   797 prefixes.  INCOMPATIBILITY.
   798 
   799 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
   800 the attribute of the same name.  Each of the theorems in the list
   801 DERIV_intros assumes composition with an additional function and
   802 matches a variable to the derivative, which has to be solved by the
   803 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
   804 of most elementary terms.  Former Maclauren.DERIV_tac and
   805 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
   806 INCOMPATIBILITY.
   807 
   808 * Code generator attributes follow the usual underscore convention:
   809     code_unfold     replaces    code unfold
   810     code_post       replaces    code post
   811     etc.
   812   INCOMPATIBILITY.
   813 
   814 * Renamed methods:
   815     sizechange -> size_change
   816     induct_scheme -> induction_schema
   817   INCOMPATIBILITY.
   818 
   819 * Discontinued abbreviation "arbitrary" of constant "undefined".
   820 INCOMPATIBILITY, use "undefined" directly.
   821 
   822 * Renamed theorems:
   823     Suc_eq_add_numeral_1 -> Suc_eq_plus1
   824     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
   825     Suc_plus1 -> Suc_eq_plus1
   826     *anti_sym -> *antisym*
   827     vector_less_eq_def -> vector_le_def
   828   INCOMPATIBILITY.
   829 
   830 * Added theorem List.map_map as [simp].  Removed List.map_compose.
   831 INCOMPATIBILITY.
   832 
   833 * Removed predicate "M hassize n" (<--> card M = n & finite M).
   834 INCOMPATIBILITY.
   835 
   836 
   837 *** HOLCF ***
   838 
   839 * Theory Representable defines a class "rep" of domains that are
   840 representable (via an ep-pair) in the universal domain type "udom".
   841 Instances are provided for all type constructors defined in HOLCF.
   842 
   843 * The 'new_domain' command is a purely definitional version of the
   844 domain package, for representable domains.  Syntax is identical to the
   845 old domain package.  The 'new_domain' package also supports indirect
   846 recursion using previously-defined type constructors.  See
   847 src/HOLCF/ex/New_Domain.thy for examples.
   848 
   849 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
   850 on the left-hand side of an equation, and then performs
   851 simplification.  Rewriting is done using rules declared with the
   852 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
   853 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
   854 
   855 * The pattern-match compiler in 'fixrec' can now handle constructors
   856 with HOL function types.  Pattern-match combinators for the Pair
   857 constructor are pre-configured.
   858 
   859 * The 'fixrec' package now produces better fixed-point induction rules
   860 for mutually-recursive definitions:  Induction rules have conclusions
   861 of the form "P foo bar" instead of "P <foo, bar>".
   862 
   863 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
   864 been renamed to "below".  The name "below" now replaces "less" in many
   865 theorem names.  (Legacy theorem names using "less" are still supported
   866 as well.)
   867 
   868 * The 'fixrec' package now supports "bottom patterns".  Bottom
   869 patterns can be used to generate strictness rules, or to make
   870 functions more strict (much like the bang-patterns supported by the
   871 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
   872 examples.
   873 
   874 
   875 *** ML ***
   876 
   877 * Support for Poly/ML 5.3.0, with improved reporting of compiler
   878 errors and run-time exceptions, including detailed source positions.
   879 
   880 * Structure Name_Space (formerly NameSpace) now manages uniquely
   881 identified entries, with some additional information such as source
   882 position, logical grouping etc.
   883 
   884 * Theory and context data is now introduced by the simplified and
   885 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
   886 to be pure, but the old TheoryDataFun for mutable data (with explicit
   887 copy operation) is still available for some time.
   888 
   889 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
   890 provides a high-level programming interface to synchronized state
   891 variables with atomic update.  This works via pure function
   892 application within a critical section -- its runtime should be as
   893 short as possible; beware of deadlocks if critical code is nested,
   894 either directly or indirectly via other synchronized variables!
   895 
   896 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
   897 wraps raw ML references, explicitly indicating their non-thread-safe
   898 behaviour.  The Isar toplevel keeps this structure open, to
   899 accommodate Proof General as well as quick and dirty interactive
   900 experiments with references.
   901 
   902 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
   903 parallel tactical reasoning.
   904 
   905 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
   906 are similar to SUBPROOF, but are slightly more flexible: only the
   907 specified parts of the subgoal are imported into the context, and the
   908 body tactic may introduce new subgoals and schematic variables.
   909 
   910 * Old tactical METAHYPS, which does not observe the proof context, has
   911 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
   912 or Subgoal.FOCUS etc.
   913 
   914 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
   915 functors have their own ML name space there is no point to mark them
   916 separately.)  Minor INCOMPATIBILITY.
   917 
   918 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
   919 
   920 * Renamed several structures FooBar to Foo_Bar.  Occasional,
   921 INCOMPATIBILITY.
   922 
   923 * Operations of structure Skip_Proof no longer require quick_and_dirty
   924 mode, which avoids critical setmp.
   925 
   926 * Eliminated old Attrib.add_attributes, Method.add_methods and related
   927 combinators for "args".  INCOMPATIBILITY, need to use simplified
   928 Attrib/Method.setup introduced in Isabelle2009.
   929 
   930 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
   931 back on global_simpset_of, global_claset_of, global_clasimpset_of as
   932 last resort.  INCOMPATIBILITY.
   933 
   934 * Display.pretty_thm now requires a proper context (cf. former
   935 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
   936 or even Display.pretty_thm_without_context as last resort.
   937 INCOMPATIBILITY.
   938 
   939 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
   940 Syntax.pretty_typ/term directly, preferably with proper context
   941 instead of global theory.
   942 
   943 
   944 *** System ***
   945 
   946 * Further fine tuning of parallel proof checking, scales up to 8 cores
   947 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
   948 usedir option -q.
   949 
   950 * Support for additional "Isabelle components" via etc/components, see
   951 also the system manual.
   952 
   953 * The isabelle makeall tool now operates on all components with
   954 IsaMakefile, not just hardwired "logics".
   955 
   956 * Removed "compress" option from isabelle-process and isabelle usedir;
   957 this is always enabled.
   958 
   959 * Discontinued support for Poly/ML 4.x versions.
   960 
   961 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
   962 on a given logic image.  This requires the lighttpd webserver and is
   963 currently supported on Linux only.
   964 
   965 
   966 
   967 New in Isabelle2009 (April 2009)
   968 --------------------------------
   969 
   970 *** General ***
   971 
   972 * Simplified main Isabelle executables, with less surprises on
   973 case-insensitive file-systems (such as Mac OS).
   974 
   975   - The main Isabelle tool wrapper is now called "isabelle" instead of
   976     "isatool."
   977 
   978   - The former "isabelle" alias for "isabelle-process" has been
   979     removed (should rarely occur to regular users).
   980 
   981   - The former "isabelle-interface" and its alias "Isabelle" have been
   982     removed (interfaces are now regular Isabelle tools).
   983 
   984 Within scripts and make files, the Isabelle environment variables
   985 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
   986 respectively.  (The latter are still available as legacy feature.)
   987 
   988 The old isabelle-interface wrapper could react in confusing ways if
   989 the interface was uninstalled or changed otherwise.  Individual
   990 interface tool configuration is now more explicit, see also the
   991 Isabelle system manual.  In particular, Proof General is now available
   992 via "isabelle emacs".
   993 
   994 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
   995 purge installed copies of Isabelle executables and re-run "isabelle
   996 install -p ...", or use symlinks.
   997 
   998 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
   999 old ~/isabelle, which was slightly non-standard and apt to cause
  1000 surprises on case-insensitive file-systems (such as Mac OS).
  1001 
  1002 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
  1003 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
  1004 care is required when using older releases of Isabelle.  Note that
  1005 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
  1006 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
  1007 
  1008 * Proofs of fully specified statements are run in parallel on
  1009 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
  1010 a regular 4-core machine, if the initial heap space is made reasonably
  1011 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
  1012 
  1013 * The main reference manuals ("isar-ref", "implementation", and
  1014 "system") have been updated and extended.  Formally checked references
  1015 as hyperlinks are now available uniformly.
  1016 
  1017 
  1018 *** Pure ***
  1019 
  1020 * Complete re-implementation of locales.  INCOMPATIBILITY in several
  1021 respects.  The most important changes are listed below.  See the
  1022 Tutorial on Locales ("locales" manual) for details.
  1023 
  1024 - In locale expressions, instantiation replaces renaming.  Parameters
  1025 must be declared in a for clause.  To aid compatibility with previous
  1026 parameter inheritance, in locale declarations, parameters that are not
  1027 'touched' (instantiation position "_" or omitted) are implicitly added
  1028 with their syntax at the beginning of the for clause.
  1029 
  1030 - Syntax from abbreviations and definitions in locales is available in
  1031 locale expressions and context elements.  The latter is particularly
  1032 useful in locale declarations.
  1033 
  1034 - More flexible mechanisms to qualify names generated by locale
  1035 expressions.  Qualifiers (prefixes) may be specified in locale
  1036 expressions, and can be marked as mandatory (syntax: "name!:") or
  1037 optional (syntax "name?:").  The default depends for plain "name:"
  1038 depends on the situation where a locale expression is used: in
  1039 commands 'locale' and 'sublocale' prefixes are optional, in
  1040 'interpretation' and 'interpret' prefixes are mandatory.  The old
  1041 implicit qualifiers derived from the parameter names of a locale are
  1042 no longer generated.
  1043 
  1044 - Command "sublocale l < e" replaces "interpretation l < e".  The
  1045 instantiation clause in "interpretation" and "interpret" (square
  1046 brackets) is no longer available.  Use locale expressions.
  1047 
  1048 - When converting proof scripts, mandatory qualifiers in
  1049 'interpretation' and 'interpret' should be retained by default, even
  1050 if this is an INCOMPATIBILITY compared to former behavior.  In the
  1051 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
  1052 in locale expressions range over a single locale instance only.
  1053 
  1054 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
  1055 In existing theorem specifications replace the includes element by the
  1056 respective context elements of the included locale, omitting those
  1057 that are already present in the theorem specification.  Multiple
  1058 assume elements of a locale should be replaced by a single one
  1059 involving the locale predicate.  In the proof body, declarations (most
  1060 notably theorems) may be regained by interpreting the respective
  1061 locales in the proof context as required (command "interpret").
  1062 
  1063 If using "includes" in replacement of a target solely because the
  1064 parameter types in the theorem are not as general as in the target,
  1065 consider declaring a new locale with additional type constraints on
  1066 the parameters (context element "constrains").
  1067 
  1068 - Discontinued "locale (open)".  INCOMPATIBILITY.
  1069 
  1070 - Locale interpretation commands no longer attempt to simplify goal.
  1071 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
  1072 methods intro_locales and unfold_locales to clarify.
  1073 
  1074 - Locale interpretation commands no longer accept interpretation
  1075 attributes.  INCOMPATIBILITY.
  1076 
  1077 * Class declaration: so-called "base sort" must not be given in import
  1078 list any longer, but is inferred from the specification.  Particularly
  1079 in HOL, write
  1080 
  1081     class foo = ...
  1082 
  1083 instead of
  1084 
  1085     class foo = type + ...
  1086 
  1087 * Class target: global versions of theorems stemming do not carry a
  1088 parameter prefix any longer.  INCOMPATIBILITY.
  1089 
  1090 * Class 'instance' command no longer accepts attached definitions.
  1091 INCOMPATIBILITY, use proper 'instantiation' target instead.
  1092 
  1093 * Recovered hiding of consts, which was accidentally broken in
  1094 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
  1095 makes c inaccessible; consider using ``hide (open) const c'' instead.
  1096 
  1097 * Slightly more coherent Pure syntax, with updated documentation in
  1098 isar-ref manual.  Removed locales meta_term_syntax and
  1099 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
  1100 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
  1101 directly in regular applications.
  1102 
  1103 * There is a new syntactic category "float_const" for signed decimal
  1104 fractions (e.g. 123.45 or -123.45).
  1105 
  1106 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
  1107 interface with 'setup' command instead.
  1108 
  1109 * Command 'local_setup' is similar to 'setup', but operates on a local
  1110 theory context.
  1111 
  1112 * The 'axiomatization' command now only works within a global theory
  1113 context.  INCOMPATIBILITY.
  1114 
  1115 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
  1116 hypotheses.  Sorts required in the course of reasoning need to be
  1117 covered by the constraints in the initial statement, completed by the
  1118 type instance information of the background theory.  Non-trivial sort
  1119 hypotheses, which rarely occur in practice, may be specified via
  1120 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
  1121 
  1122   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
  1123 
  1124 The result contains an implicit sort hypotheses as before --
  1125 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
  1126 normalization.
  1127 
  1128 * Generalized Isar history, with support for linear undo, direct state
  1129 addressing etc.
  1130 
  1131 * Changed defaults for unify configuration options:
  1132 
  1133   unify_trace_bound = 50 (formerly 25)
  1134   unify_search_bound = 60 (formerly 30)
  1135 
  1136 * Different bookkeeping for code equations (INCOMPATIBILITY):
  1137 
  1138   a) On theory merge, the last set of code equations for a particular
  1139      constant is taken (in accordance with the policy applied by other
  1140      parts of the code generator framework).
  1141 
  1142   b) Code equations stemming from explicit declarations (e.g. code
  1143      attribute) gain priority over default code equations stemming
  1144      from definition, primrec, fun etc.
  1145 
  1146 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
  1147 
  1148 * Unified theorem tables for both code generators.  Thus [code
  1149 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
  1150 
  1151 * Command 'find_consts' searches for constants based on type and name
  1152 patterns, e.g.
  1153 
  1154     find_consts "_ => bool"
  1155 
  1156 By default, matching is against subtypes, but it may be restricted to
  1157 the whole type.  Searching by name is possible.  Multiple queries are
  1158 conjunctive and queries may be negated by prefixing them with a
  1159 hyphen:
  1160 
  1161     find_consts strict: "_ => bool" name: "Int" -"int => int"
  1162 
  1163 * New 'find_theorems' criterion "solves" matches theorems that
  1164 directly solve the current goal (modulo higher-order unification).
  1165 
  1166 * Auto solve feature for main theorem statements: whenever a new goal
  1167 is stated, "find_theorems solves" is called; any theorems that could
  1168 solve the lemma directly are listed as part of the goal state.
  1169 Cf. associated options in Proof General Isabelle settings menu,
  1170 enabled by default, with reasonable timeout for pathological cases of
  1171 higher-order unification.
  1172 
  1173 
  1174 *** Document preparation ***
  1175 
  1176 * Antiquotation @{lemma} now imitates a regular terminal proof,
  1177 demanding keyword 'by' and supporting the full method expression
  1178 syntax just like the Isar command 'by'.
  1179 
  1180 
  1181 *** HOL ***
  1182 
  1183 * Integrated main parts of former image HOL-Complex with HOL.  Entry
  1184 points Main and Complex_Main remain as before.
  1185 
  1186 * Logic image HOL-Plain provides a minimal HOL with the most important
  1187 tools available (inductive, datatype, primrec, ...).  This facilitates
  1188 experimentation and tool development.  Note that user applications
  1189 (and library theories) should never refer to anything below theory
  1190 Main, as before.
  1191 
  1192 * Logic image HOL-Main stops at theory Main, and thus facilitates
  1193 experimentation due to shorter build times.
  1194 
  1195 * Logic image HOL-NSA contains theories of nonstandard analysis which
  1196 were previously part of former HOL-Complex.  Entry point Hyperreal
  1197 remains valid, but theories formerly using Complex_Main should now use
  1198 new entry point Hypercomplex.
  1199 
  1200 * Generic ATP manager for Sledgehammer, based on ML threads instead of
  1201 Posix processes.  Avoids potentially expensive forking of the ML
  1202 process.  New thread-based implementation also works on non-Unix
  1203 platforms (Cygwin).  Provers are no longer hardwired, but defined
  1204 within the theory via plain ML wrapper functions.  Basic Sledgehammer
  1205 commands are covered in the isar-ref manual.
  1206 
  1207 * Wrapper scripts for remote SystemOnTPTP service allows to use
  1208 sledgehammer without local ATP installation (Vampire etc.). Other
  1209 provers may be included via suitable ML wrappers, see also
  1210 src/HOL/ATP_Linkup.thy.
  1211 
  1212 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
  1213 menu.
  1214 
  1215 * The metis method no longer fails because the theorem is too trivial
  1216 (contains the empty clause).
  1217 
  1218 * The metis method now fails in the usual manner, rather than raising
  1219 an exception, if it determines that it cannot prove the theorem.
  1220 
  1221 * Method "coherent" implements a prover for coherent logic (see also
  1222 src/Tools/coherent.ML).
  1223 
  1224 * Constants "undefined" and "default" replace "arbitrary".  Usually
  1225 "undefined" is the right choice to replace "arbitrary", though
  1226 logically there is no difference.  INCOMPATIBILITY.
  1227 
  1228 * Command "value" now integrates different evaluation mechanisms.  The
  1229 result of the first successful evaluation mechanism is printed.  In
  1230 square brackets a particular named evaluation mechanisms may be
  1231 specified (currently, [SML], [code] or [nbe]).  See further
  1232 src/HOL/ex/Eval_Examples.thy.
  1233 
  1234 * Normalization by evaluation now allows non-leftlinear equations.
  1235 Declare with attribute [code nbe].
  1236 
  1237 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1238 as the structured Isar versions "cases" and "induct", cf. the
  1239 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1240 are now presented as a list of individual projections
  1241 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1242 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1243 rare situations a different rule is selected --- notably nested tuple
  1244 elimination instead of former prod.exhaust: use explicit (case_tac t
  1245 rule: prod.exhaust) here.
  1246 
  1247 * Attributes "cases", "induct", "coinduct" support "del" option.
  1248 
  1249 * Removed fact "case_split_thm", which duplicates "case_split".
  1250 
  1251 * The option datatype has been moved to a new theory Option.  Renamed
  1252 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1253 
  1254 * New predicate "strict_mono" classifies strict functions on partial
  1255 orders.  With strict functions on linear orders, reasoning about
  1256 (in)equalities is facilitated by theorems "strict_mono_eq",
  1257 "strict_mono_less_eq" and "strict_mono_less".
  1258 
  1259 * Some set operations are now proper qualified constants with
  1260 authentic syntax.  INCOMPATIBILITY:
  1261 
  1262     op Int ~>   Set.Int
  1263     op Un ~>    Set.Un
  1264     INTER ~>    Set.INTER
  1265     UNION ~>    Set.UNION
  1266     Inter ~>    Set.Inter
  1267     Union ~>    Set.Union
  1268     {} ~>       Set.empty
  1269     UNIV ~>     Set.UNIV
  1270 
  1271 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1272 theory Set.
  1273 
  1274 * Auxiliary class "itself" has disappeared -- classes without any
  1275 parameter are treated as expected by the 'class' command.
  1276 
  1277 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1278 
  1279 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  1280 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  1281 
  1282 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  1283 method "approximation".  It proves formulas on real values by using
  1284 interval arithmetic.  In the formulas are also the transcendental
  1285 functions sin, cos, tan, atan, ln, exp and the constant pi are
  1286 allowed. For examples see
  1287 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  1288 
  1289 * Theory "Reflection" now resides in HOL/Library.
  1290 
  1291 * Entry point to Word library now simply named "Word".
  1292 INCOMPATIBILITY.
  1293 
  1294 * Made source layout more coherent with logical distribution
  1295 structure:
  1296 
  1297     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  1298     src/HOL/Library/Code_Message.thy ~> src/HOL/
  1299     src/HOL/Library/GCD.thy ~> src/HOL/
  1300     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  1301     src/HOL/Library/Parity.thy ~> src/HOL/
  1302     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  1303     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  1304     src/HOL/Real/Lubs.thy ~> src/HOL/
  1305     src/HOL/Real/PReal.thy ~> src/HOL/
  1306     src/HOL/Real/Rational.thy ~> src/HOL/
  1307     src/HOL/Real/RComplete.thy ~> src/HOL/
  1308     src/HOL/Real/RealDef.thy ~> src/HOL/
  1309     src/HOL/Real/RealPow.thy ~> src/HOL/
  1310     src/HOL/Real/Real.thy ~> src/HOL/
  1311     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  1312     src/HOL/Complex/Complex.thy ~> src/HOL/
  1313     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  1314     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  1315     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  1316     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  1317     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  1318     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  1319     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  1320     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  1321     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  1322     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  1323     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  1324     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  1325     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  1326     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  1327     src/HOL/Real/Float ~> src/HOL/Library/
  1328     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  1329     src/HOL/Real/RealVector.thy ~> src/HOL/
  1330 
  1331     src/HOL/arith_data.ML ~> src/HOL/Tools
  1332     src/HOL/hologic.ML ~> src/HOL/Tools
  1333     src/HOL/simpdata.ML ~> src/HOL/Tools
  1334     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  1335     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  1336     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  1337     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  1338     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  1339     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  1340     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  1341 
  1342     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  1343     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  1344     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  1345     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  1346     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  1347     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  1348 
  1349 * If methods "eval" and "evaluation" encounter a structured proof
  1350 state with !!/==>, only the conclusion is evaluated to True (if
  1351 possible), avoiding strange error messages.
  1352 
  1353 * Method "sizechange" automates termination proofs using (a
  1354 modification of) the size-change principle.  Requires SAT solver.  See
  1355 src/HOL/ex/Termination.thy for examples.
  1356 
  1357 * Simplifier: simproc for let expressions now unfolds if bound
  1358 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  1359 
  1360 * Method "arith": Linear arithmetic now ignores all inequalities when
  1361 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  1362 
  1363 * New attribute "arith" for facts that should always be used
  1364 automatically by arithmetic. It is intended to be used locally in
  1365 proofs, e.g.
  1366 
  1367   assumes [arith]: "x > 0"
  1368 
  1369 Global usage is discouraged because of possible performance impact.
  1370 
  1371 * New classes "top" and "bot" with corresponding operations "top" and
  1372 "bot" in theory Orderings; instantiation of class "complete_lattice"
  1373 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  1374 
  1375 * Changed definition lemma "less_fun_def" in order to provide an
  1376 instance for preorders on functions; use lemma "less_le" instead.
  1377 INCOMPATIBILITY.
  1378 
  1379 * Theory Orderings: class "wellorder" moved here, with explicit
  1380 induction rule "less_induct" as assumption.  For instantiation of
  1381 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  1382 INCOMPATIBILITY.
  1383 
  1384 * Theory Orderings: added class "preorder" as superclass of "order".
  1385 INCOMPATIBILITY: Instantiation proofs for order, linorder
  1386 etc. slightly changed.  Some theorems named order_class.* now named
  1387 preorder_class.*.
  1388 
  1389 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  1390 "diag" to "Id_on".
  1391 
  1392 * Theory Finite_Set: added a new fold combinator of type
  1393 
  1394   ('a => 'b => 'b) => 'b => 'a set => 'b
  1395 
  1396 Occasionally this is more convenient than the old fold combinator
  1397 which is now defined in terms of the new one and renamed to
  1398 fold_image.
  1399 
  1400 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  1401 and "ring_simps" have been replaced by "algebra_simps" (which can be
  1402 extended with further lemmas!).  At the moment both still exist but
  1403 the former will disappear at some point.
  1404 
  1405 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  1406 class recpower.  Type-specific simp rules for various recpower types
  1407 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  1408 
  1409 rat_power_0    -> power_0
  1410 rat_power_Suc  -> power_Suc
  1411 realpow_0      -> power_0
  1412 realpow_Suc    -> power_Suc
  1413 complexpow_0   -> power_0
  1414 complexpow_Suc -> power_Suc
  1415 power_poly_0   -> power_0
  1416 power_poly_Suc -> power_Suc
  1417 
  1418 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  1419 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  1420 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  1421 of lemmas from Divides has been generalized from nat to class
  1422 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  1423 renames resulting from duplicate elimination:
  1424 
  1425     dvd_def_mod ~>          dvd_eq_mod_eq_0
  1426     zero_dvd_iff ~>         dvd_0_left_iff
  1427     dvd_0 ~>                dvd_0_right
  1428     DIVISION_BY_ZERO_DIV ~> div_by_0
  1429     DIVISION_BY_ZERO_MOD ~> mod_by_0
  1430     mult_div ~>             div_mult_self2_is_id
  1431     mult_mod ~>             mod_mult_self2_is_0
  1432 
  1433 * Theory IntDiv: removed many lemmas that are instances of class-based
  1434 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  1435 rename old lemmas as follows:
  1436 
  1437 dvd_diff               -> nat_dvd_diff
  1438 dvd_zminus_iff         -> dvd_minus_iff
  1439 mod_add1_eq            -> mod_add_eq
  1440 mod_mult1_eq           -> mod_mult_right_eq
  1441 mod_mult1_eq'          -> mod_mult_left_eq
  1442 mod_mult_distrib_mod   -> mod_mult_eq
  1443 nat_mod_add_left_eq    -> mod_add_left_eq
  1444 nat_mod_add_right_eq   -> mod_add_right_eq
  1445 nat_mod_div_trivial    -> mod_div_trivial
  1446 nat_mod_mod_trivial    -> mod_mod_trivial
  1447 zdiv_zadd_self1        -> div_add_self1
  1448 zdiv_zadd_self2        -> div_add_self2
  1449 zdiv_zmult_self1       -> div_mult_self2_is_id
  1450 zdiv_zmult_self2       -> div_mult_self1_is_id
  1451 zdvd_triv_left         -> dvd_triv_left
  1452 zdvd_triv_right        -> dvd_triv_right
  1453 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  1454 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  1455 zmod_zadd_left_eq      -> mod_add_left_eq
  1456 zmod_zadd_right_eq     -> mod_add_right_eq
  1457 zmod_zadd_self1        -> mod_add_self1
  1458 zmod_zadd_self2        -> mod_add_self2
  1459 zmod_zadd1_eq          -> mod_add_eq
  1460 zmod_zdiff1_eq         -> mod_diff_eq
  1461 zmod_zdvd_zmod         -> mod_mod_cancel
  1462 zmod_zmod_cancel       -> mod_mod_cancel
  1463 zmod_zmult_self1       -> mod_mult_self2_is_0
  1464 zmod_zmult_self2       -> mod_mult_self1_is_0
  1465 zmod_1                 -> mod_by_1
  1466 zdiv_1                 -> div_by_1
  1467 zdvd_abs1              -> abs_dvd_iff
  1468 zdvd_abs2              -> dvd_abs_iff
  1469 zdvd_refl              -> dvd_refl
  1470 zdvd_trans             -> dvd_trans
  1471 zdvd_zadd              -> dvd_add
  1472 zdvd_zdiff             -> dvd_diff
  1473 zdvd_zminus_iff        -> dvd_minus_iff
  1474 zdvd_zminus2_iff       -> minus_dvd_iff
  1475 zdvd_zmultD            -> dvd_mult_right
  1476 zdvd_zmultD2           -> dvd_mult_left
  1477 zdvd_zmult_mono        -> mult_dvd_mono
  1478 zdvd_0_right           -> dvd_0_right
  1479 zdvd_0_left            -> dvd_0_left_iff
  1480 zdvd_1_left            -> one_dvd
  1481 zminus_dvd_iff         -> minus_dvd_iff
  1482 
  1483 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  1484 
  1485 * The real numbers offer decimal input syntax: 12.34 is translated
  1486 into 1234/10^2. This translation is not reversed upon output.
  1487 
  1488 * Theory Library/Polynomial defines an abstract type 'a poly of
  1489 univariate polynomials with coefficients of type 'a.  In addition to
  1490 the standard ring operations, it also supports div and mod.  Code
  1491 generation is also supported, using list-style constructors.
  1492 
  1493 * Theory Library/Inner_Product defines a class of real_inner for real
  1494 inner product spaces, with an overloaded operation inner :: 'a => 'a
  1495 => real.  Class real_inner is a subclass of real_normed_vector from
  1496 theory RealVector.
  1497 
  1498 * Theory Library/Product_Vector provides instances for the product
  1499 type 'a * 'b of several classes from RealVector and Inner_Product.
  1500 Definitions of addition, subtraction, scalar multiplication, norms,
  1501 and inner products are included.
  1502 
  1503 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  1504 addition to the field operations, numerals and case syntax are also
  1505 supported.
  1506 
  1507 * Theory Library/Diagonalize provides constructive version of Cantor's
  1508 first diagonalization argument.
  1509 
  1510 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  1511 zlcm (for int); carried together from various gcd/lcm developements in
  1512 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  1513 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  1514 may recover tupled syntax as follows:
  1515 
  1516     hide (open) const gcd
  1517     abbreviation gcd where
  1518       "gcd == (%(a, b). GCD.gcd a b)"
  1519     notation (output)
  1520       GCD.gcd ("gcd '(_, _')")
  1521 
  1522 The same works for lcm, zgcd, zlcm.
  1523 
  1524 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  1525 instantiations for algebraic structures.  Removed some duplicate
  1526 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  1527 
  1528 * ML antiquotation @{code} takes a constant as argument and generates
  1529 corresponding code in background and inserts name of the corresponding
  1530 resulting ML value/function/datatype constructor binding in place.
  1531 All occurrences of @{code} with a single ML block are generated
  1532 simultaneously.  Provides a generic and safe interface for
  1533 instrumentalizing code generation.  See
  1534 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  1535 In future you ought to refrain from ad-hoc compiling generated SML
  1536 code on the ML toplevel.  Note that (for technical reasons) @{code}
  1537 cannot refer to constants for which user-defined serializations are
  1538 set.  Refer to the corresponding ML counterpart directly in that
  1539 cases.
  1540 
  1541 * Command 'rep_datatype': instead of theorem names the command now
  1542 takes a list of terms denoting the constructors of the type to be
  1543 represented as datatype.  The characteristic theorems have to be
  1544 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  1545 have disappeared in favour of existing ones:
  1546 
  1547     unit_induct                 ~> unit.induct
  1548     prod_induct                 ~> prod.induct
  1549     sum_induct                  ~> sum.induct
  1550     Suc_Suc_eq                  ~> nat.inject
  1551     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  1552 
  1553 
  1554 *** HOL-Algebra ***
  1555 
  1556 * New locales for orders and lattices where the equivalence relation
  1557 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  1558 locales use a record structure with field eq for the equivalence.
  1559 
  1560 * New theory of factorial domains.
  1561 
  1562 * Units_l_inv and Units_r_inv are now simp rules by default.
  1563 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  1564 and/or r_inv will now also require deletion of these lemmas.
  1565 
  1566 * Renamed the following theorems, INCOMPATIBILITY:
  1567 
  1568 UpperD ~> Upper_memD
  1569 LowerD ~> Lower_memD
  1570 least_carrier ~> least_closed
  1571 greatest_carrier ~> greatest_closed
  1572 greatest_Lower_above ~> greatest_Lower_below
  1573 one_zero ~> carrier_one_zero
  1574 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  1575 
  1576 
  1577 *** HOL-Nominal ***
  1578 
  1579 * Nominal datatypes can now contain type-variables.
  1580 
  1581 * Commands 'nominal_inductive' and 'equivariance' work with local
  1582 theory targets.
  1583 
  1584 * Nominal primrec can now works with local theory targets and its
  1585 specification syntax now conforms to the general format as seen in
  1586 'inductive' etc.
  1587 
  1588 * Method "perm_simp" honours the standard simplifier attributes
  1589 (no_asm), (no_asm_use) etc.
  1590 
  1591 * The new predicate #* is defined like freshness, except that on the
  1592 left hand side can be a set or list of atoms.
  1593 
  1594 * Experimental command 'nominal_inductive2' derives strong induction
  1595 principles for inductive definitions.  In contrast to
  1596 'nominal_inductive', which can only deal with a fixed number of
  1597 binders, it can deal with arbitrary expressions standing for sets of
  1598 atoms to be avoided.  The only inductive definition we have at the
  1599 moment that needs this generalisation is the typing rule for Lets in
  1600 the algorithm W:
  1601 
  1602  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  1603  -----------------------------------------------------------------
  1604          Gamma |- Let x be t1 in t2 : T2
  1605 
  1606 In this rule one wants to avoid all the binders that are introduced by
  1607 "close Gamma T1".  We are looking for other examples where this
  1608 feature might be useful.  Please let us know.
  1609 
  1610 
  1611 *** HOLCF ***
  1612 
  1613 * Reimplemented the simplification procedure for proving continuity
  1614 subgoals.  The new simproc is extensible; users can declare additional
  1615 continuity introduction rules with the attribute [cont2cont].
  1616 
  1617 * The continuity simproc now uses a different introduction rule for
  1618 solving continuity subgoals on terms with lambda abstractions.  In
  1619 some rare cases the new simproc may fail to solve subgoals that the
  1620 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  1621 Potential INCOMPATIBILITY.
  1622 
  1623 * Command 'fixrec': specification syntax now conforms to the general
  1624 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  1625 examples.  INCOMPATIBILITY.
  1626 
  1627 
  1628 *** ZF ***
  1629 
  1630 * Proof of Zorn's Lemma for partial orders.
  1631 
  1632 
  1633 *** ML ***
  1634 
  1635 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  1636 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  1637 depends on multithreading, so timouts will not work before Poly/ML
  1638 5.2.1!
  1639 
  1640 * High-level support for concurrent ML programming, see
  1641 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  1642 particularly convenient to organize independent functional
  1643 computations.  The concept of "synchronized variables" provides a
  1644 higher-order interface for components with shared state, avoiding the
  1645 delicate details of mutexes and condition variables.  (Requires
  1646 Poly/ML 5.2.1 or later.)
  1647 
  1648 * ML bindings produced via Isar commands are stored within the Isar
  1649 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  1650 become thread-safe and work with undo as expected (concerning
  1651 top-level bindings, not side-effects on global references).
  1652 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  1653 compiler at runtime; really global bindings need to be given outside a
  1654 theory.  (Requires Poly/ML 5.2 or later.)
  1655 
  1656 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  1657 context.  Top-level ML bindings are stored within the proof context in
  1658 a purely sequential fashion, disregarding the nested proof structure.
  1659 ML bindings introduced by 'ML_prf' are discarded at the end of the
  1660 proof.  (Requires Poly/ML 5.2 or later.)
  1661 
  1662 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  1663 and Method.setup, as well as Isar commands 'attribute_setup' and
  1664 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  1665 existing code accordingly, or use plain 'setup' together with old
  1666 Method.add_method.
  1667 
  1668 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  1669 to 'a -> thm, while results are always tagged with an authentic oracle
  1670 name.  The Isar command 'oracle' is now polymorphic, no argument type
  1671 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  1672 accordingly.  Note that extra performance may be gained by producing
  1673 the cterm carefully, avoiding slow Thm.cterm_of.
  1674 
  1675 * Simplified interface for defining document antiquotations via
  1676 ThyOutput.antiquotation, ThyOutput.output, and optionally
  1677 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  1678 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  1679 examples.
  1680 
  1681 * More systematic treatment of long names, abstract name bindings, and
  1682 name space operations.  Basic operations on qualified names have been
  1683 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  1684 Long_Name.append.  Old type bstring has been mostly replaced by
  1685 abstract type binding (see structure Binding), which supports precise
  1686 qualification by packages and local theory targets, as well as proper
  1687 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  1688 bstring values into Binding.name, or better pass through abstract
  1689 bindings everywhere.  See further src/Pure/General/long_name.ML,
  1690 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  1691 
  1692 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  1693 LocalTheory.note etc.) now refer to the *full* internal name, not the
  1694 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  1695 
  1696 * Disposed old type and term read functions (Sign.read_def_typ,
  1697 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  1698 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  1699 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  1700 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  1701 resort for legacy applications.
  1702 
  1703 * Disposed old declarations, tactics, tactic combinators that refer to
  1704 the simpset or claset of an implicit theory (such as Addsimps,
  1705 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  1706 embedded ML text, or local_simpset_of with a proper context passed as
  1707 explicit runtime argument.
  1708 
  1709 * Rules and tactics that read instantiations (read_instantiate,
  1710 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  1711 context, which is required for parsing and type-checking.  Moreover,
  1712 the variables are specified as plain indexnames, not string encodings
  1713 thereof.  INCOMPATIBILITY.
  1714 
  1715 * Generic Toplevel.add_hook interface allows to analyze the result of
  1716 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  1717 for theorem dependency output of transactions resulting in a new
  1718 theory state.
  1719 
  1720 * ML antiquotations: block-structured compilation context indicated by
  1721 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  1722 
  1723   @{binding name}                         - basic name binding
  1724   @{let ?pat = term}                      - term abbreviation (HO matching)
  1725   @{note name = fact}                     - fact abbreviation
  1726   @{thm fact}                             - singleton fact (with attributes)
  1727   @{thms fact}                            - general fact (with attributes)
  1728   @{lemma prop by method}                 - singleton goal
  1729   @{lemma prop by meth1 meth2}            - singleton goal
  1730   @{lemma prop1 ... propN by method}      - general goal
  1731   @{lemma prop1 ... propN by meth1 meth2} - general goal
  1732   @{lemma (open) ...}                     - open derivation
  1733 
  1734 
  1735 *** System ***
  1736 
  1737 * The Isabelle "emacs" tool provides a specific interface to invoke
  1738 Proof General / Emacs, with more explicit failure if that is not
  1739 installed (the old isabelle-interface script silently falls back on
  1740 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  1741 installation location of the Proof General distribution.
  1742 
  1743 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  1744 the Isabelle process into a JVM/Scala application.  See
  1745 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  1746 process wrapper has been discontinued.)
  1747 
  1748 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  1749 
  1750 * Various status messages (with exact source position information) are
  1751 emitted, if proper markup print mode is enabled.  This allows
  1752 user-interface components to provide detailed feedback on internal
  1753 prover operations.
  1754 
  1755 
  1756 
  1757 New in Isabelle2008 (June 2008)
  1758 -------------------------------
  1759 
  1760 *** General ***
  1761 
  1762 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  1763 and updated, with formally checked references as hyperlinks.
  1764 
  1765 * Theory loader: use_thy (and similar operations) no longer set the
  1766 implicit ML context, which was occasionally hard to predict and in
  1767 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  1768 provides a proper context already.
  1769 
  1770 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1771 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  1772 'use' within a theory file will do the job.
  1773 
  1774 * Name space merge now observes canonical order, i.e. the second space
  1775 is inserted into the first one, while existing entries in the first
  1776 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  1777 swap theory imports.
  1778 
  1779 * Syntax: symbol \<chi> is now considered a letter.  Potential
  1780 INCOMPATIBILITY in identifier syntax etc.
  1781 
  1782 * Outer syntax: string tokens no longer admit escaped white space,
  1783 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  1784 white space without escapes.
  1785 
  1786 * Outer syntax: string tokens may contain arbitrary character codes
  1787 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  1788 "foo_bar".
  1789 
  1790 
  1791 *** Pure ***
  1792 
  1793 * Context-dependent token translations.  Default setup reverts locally
  1794 fixed variables, and adds hilite markup for undeclared frees.
  1795 
  1796 * Unused theorems can be found using the new command 'unused_thms'.
  1797 There are three ways of invoking it:
  1798 
  1799 (1) unused_thms
  1800      Only finds unused theorems in the current theory.
  1801 
  1802 (2) unused_thms thy_1 ... thy_n -
  1803      Finds unused theorems in the current theory and all of its ancestors,
  1804      excluding the theories thy_1 ... thy_n and all of their ancestors.
  1805 
  1806 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  1807      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  1808      their ancestors, excluding the theories thy_1 ... thy_n and all of
  1809      their ancestors.
  1810 
  1811 In order to increase the readability of the list produced by
  1812 unused_thms, theorems that have been created by a particular instance
  1813 of a theory command such as 'inductive' or 'function' are considered
  1814 to belong to the same "group", meaning that if at least one theorem in
  1815 this group is used, the other theorems in the same group are no longer
  1816 reported as unused.  Moreover, if all theorems in the group are
  1817 unused, only one theorem in the group is displayed.
  1818 
  1819 Note that proof objects have to be switched on in order for
  1820 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  1821 usually the case when using Proof General with the default settings).
  1822 
  1823 * Authentic naming of facts disallows ad-hoc overwriting of previous
  1824 theorems within the same name space.  INCOMPATIBILITY, need to remove
  1825 duplicate fact bindings, or even accidental fact duplications.  Note
  1826 that tools may maintain dynamically scoped facts systematically, using
  1827 PureThy.add_thms_dynamic.
  1828 
  1829 * Command 'hide' now allows to hide from "fact" name space as well.
  1830 
  1831 * Eliminated destructive theorem database, simpset, claset, and
  1832 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  1833 update of theories within ML code.
  1834 
  1835 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  1836 INCOMPATIBILITY, object-logics depending on former Pure require
  1837 additional setup PureThy.old_appl_syntax_setup; object-logics
  1838 depending on former CPure need to refer to Pure.
  1839 
  1840 * Commands 'use' and 'ML' are now purely functional, operating on
  1841 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  1842 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  1843 INCOMPATIBILITY.
  1844 
  1845 * Command 'setup': discontinued implicit version with ML reference.
  1846 
  1847 * Instantiation target allows for simultaneous specification of class
  1848 instance operations together with an instantiation proof.
  1849 Type-checking phase allows to refer to class operations uniformly.
  1850 See src/HOL/Complex/Complex.thy for an Isar example and
  1851 src/HOL/Library/Eval.thy for an ML example.
  1852 
  1853 * Indexing of literal facts: be more serious about including only
  1854 facts from the visible specification/proof context, but not the
  1855 background context (locale etc.).  Affects `prop` notation and method
  1856 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  1857 situations.
  1858 
  1859 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  1860 "(open)" option, which used to expose internal bound variables to the
  1861 proof text.
  1862 
  1863 * Isar statements: removed obsolete case "rule_context".
  1864 INCOMPATIBILITY, better use explicit fixes/assumes.
  1865 
  1866 * Locale proofs: default proof step now includes 'unfold_locales';
  1867 hence 'proof' without argument may be used to unfold locale
  1868 predicates.
  1869 
  1870 
  1871 *** Document preparation ***
  1872 
  1873 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  1874 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  1875 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  1876 spot); renamed link color from "darkblue" to "linkcolor" (default
  1877 value unchanged, can be redefined via \definecolor); no longer sets
  1878 "a4paper" option (unnecessary or even intrusive).
  1879 
  1880 * Antiquotation @{lemma A method} proves proposition A by the given
  1881 method (either a method name or a method name plus (optional) method
  1882 arguments in parentheses) and prints A just like @{prop A}.
  1883 
  1884 
  1885 *** HOL ***
  1886 
  1887 * New primrec package.  Specification syntax conforms in style to
  1888 definition/function/....  No separate induction rule is provided.  The
  1889 "primrec" command distinguishes old-style and new-style specifications
  1890 by syntax.  The former primrec package is now named OldPrimrecPackage.
  1891 When adjusting theories, beware: constants stemming from new-style
  1892 primrec specifications have authentic syntax.
  1893 
  1894 * Metis prover is now an order of magnitude faster, and also works
  1895 with multithreading.
  1896 
  1897 * Metis: the maximum number of clauses that can be produced from a
  1898 theorem is now given by the attribute max_clauses.  Theorems that
  1899 exceed this number are ignored, with a warning printed.
  1900 
  1901 * Sledgehammer no longer produces structured proofs by default. To
  1902 enable, declare [[sledgehammer_full = true]].  Attributes
  1903 reconstruction_modulus, reconstruction_sorts renamed
  1904 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  1905 
  1906 * Method "induct_scheme" derives user-specified induction rules
  1907 from well-founded induction and completeness of patterns. This factors
  1908 out some operations that are done internally by the function package
  1909 and makes them available separately.  See
  1910 src/HOL/ex/Induction_Scheme.thy for examples.
  1911 
  1912 * More flexible generation of measure functions for termination
  1913 proofs: Measure functions can be declared by proving a rule of the
  1914 form "is_measure f" and giving it the [measure_function] attribute.
  1915 The "is_measure" predicate is logically meaningless (always true), and
  1916 just guides the heuristic.  To find suitable measure functions, the
  1917 termination prover sets up the goal "is_measure ?f" of the appropriate
  1918 type and generates all solutions by prolog-style backwards proof using
  1919 the declared rules.
  1920 
  1921 This setup also deals with rules like 
  1922 
  1923   "is_measure f ==> is_measure (list_size f)"
  1924 
  1925 which accommodates nested datatypes that recurse through lists.
  1926 Similar rules are predeclared for products and option types.
  1927 
  1928 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  1929 
  1930   INCOMPATIBILITIES:
  1931 
  1932   - Definitions of overloaded constants on sets have to be replaced by
  1933     definitions on => and bool.
  1934 
  1935   - Some definitions of overloaded operators on sets can now be proved
  1936     using the definitions of the operators on => and bool.  Therefore,
  1937     the following theorems have been renamed:
  1938 
  1939       subset_def   -> subset_eq
  1940       psubset_def  -> psubset_eq
  1941       set_diff_def -> set_diff_eq
  1942       Compl_def    -> Compl_eq
  1943       Sup_set_def  -> Sup_set_eq
  1944       Inf_set_def  -> Inf_set_eq
  1945       sup_set_def  -> sup_set_eq
  1946       inf_set_def  -> inf_set_eq
  1947 
  1948   - Due to the incompleteness of the HO unification algorithm, some
  1949     rules such as subst may require manual instantiation, if some of
  1950     the unknowns in the rule is a set.
  1951 
  1952   - Higher order unification and forward proofs:
  1953     The proof pattern
  1954 
  1955       have "P (S::'a set)" <...>
  1956       then have "EX S. P S" ..
  1957 
  1958     no longer works (due to the incompleteness of the HO unification
  1959     algorithm) and must be replaced by the pattern
  1960 
  1961       have "EX S. P S"
  1962       proof
  1963         show "P S" <...>
  1964       qed
  1965 
  1966   - Calculational reasoning with subst (or similar rules):
  1967     The proof pattern
  1968 
  1969       have "P (S::'a set)" <...>
  1970       also have "S = T" <...>
  1971       finally have "P T" .
  1972 
  1973     no longer works (for similar reasons as the previous example) and
  1974     must be replaced by something like
  1975 
  1976       have "P (S::'a set)" <...>
  1977       moreover have "S = T" <...>
  1978       ultimately have "P T" by simp
  1979 
  1980   - Tactics or packages written in ML code:
  1981     Code performing pattern matching on types via
  1982 
  1983       Type ("set", [T]) => ...
  1984 
  1985     must be rewritten. Moreover, functions like strip_type or
  1986     binder_types no longer return the right value when applied to a
  1987     type of the form
  1988 
  1989       T1 => ... => Tn => U => bool
  1990 
  1991     rather than
  1992 
  1993       T1 => ... => Tn => U set
  1994 
  1995 * Merged theories Wellfounded_Recursion, Accessible_Part and
  1996 Wellfounded_Relations to theory Wellfounded.
  1997 
  1998 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  1999 
  2000 * Class finite no longer treats UNIV as class parameter.  Use class
  2001 enum from theory Library/Enum instead to achieve a similar effect.
  2002 INCOMPATIBILITY.
  2003 
  2004 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  2005 and "Cons".  INCOMPATIBILITY.
  2006 
  2007 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  2008 Potential INCOMPATIBILITY.
  2009 
  2010 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  2011 injective_fst_snd removed, use split_eta and prod_eqI instead.
  2012 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  2013 
  2014 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  2015 the same name in theory Orderings:
  2016 
  2017   less_trans
  2018   less_linear
  2019   le_imp_less_or_eq
  2020   le_less_trans
  2021   less_le_trans
  2022   less_not_sym
  2023   less_asym
  2024 
  2025 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  2026 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  2027 and different variable names.
  2028 
  2029 * Library/Option_ord.thy: Canonical order on option type.
  2030 
  2031 * Library/RBT.thy: Red-black trees, an efficient implementation of
  2032 finite maps.
  2033 
  2034 * Library/Countable.thy: Type class for countable types.
  2035 
  2036 * Theory Int: The representation of numerals has changed.  The infix
  2037 operator BIT and the bit datatype with constructors B0 and B1 have
  2038 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  2039 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  2040 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  2041 accordingly.
  2042 
  2043 * Theory Nat: definition of <= and < on natural numbers no longer
  2044 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  2045 le_def and less_def have disappeared.  Consider lemmas not_less
  2046 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  2047 
  2048 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  2049 (whose purpose mainly is for various fold_set functionals) have been
  2050 abandoned in favor of the existing algebraic classes
  2051 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  2052 lower_semilattice (resp. upper_semilattice) and linorder.
  2053 INCOMPATIBILITY.
  2054 
  2055 * Theory Transitive_Closure: induct and cases rules now declare proper
  2056 case_names ("base" and "step").  INCOMPATIBILITY.
  2057 
  2058 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  2059 lattices.  The form set-specific version is available as
  2060 Inductive.lfp_ordinal_induct_set.
  2061 
  2062 * Renamed theorems "power.simps" to "power_int.simps".
  2063 INCOMPATIBILITY.
  2064 
  2065 * Class semiring_div provides basic abstract properties of semirings
  2066 with division and modulo operations.  Subsumes former class dvd_mod.
  2067 
  2068 * Merged theories IntDef, Numeral and IntArith into unified theory
  2069 Int.  INCOMPATIBILITY.
  2070 
  2071 * Theory Library/Code_Index: type "index" now represents natural
  2072 numbers rather than integers.  INCOMPATIBILITY.
  2073 
  2074 * New class "uminus" with operation "uminus" (split of from class
  2075 "minus" which now only has operation "minus", binary).
  2076 INCOMPATIBILITY.
  2077 
  2078 * Constants "card", "internal_split", "option_map" now with authentic
  2079 syntax.  INCOMPATIBILITY.
  2080 
  2081 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  2082 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  2083 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  2084 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  2085 Sup_set_def, le_def, less_def, option_map_def now with object
  2086 equality.  INCOMPATIBILITY.
  2087 
  2088 * Records. Removed K_record, and replaced it by pure lambda term
  2089 %x. c. The simplifier setup is now more robust against eta expansion.
  2090 INCOMPATIBILITY: in cases explicitly referring to K_record.
  2091 
  2092 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  2093 
  2094 * Library/ListVector: new theory of arithmetic vector operations.
  2095 
  2096 * Library/Order_Relation: new theory of various orderings as sets of
  2097 pairs.  Defines preorders, partial orders, linear orders and
  2098 well-orders on sets and on types.
  2099 
  2100 
  2101 *** ZF ***
  2102 
  2103 * Renamed some theories to allow to loading both ZF and HOL in the
  2104 same session:
  2105 
  2106   Datatype  -> Datatype_ZF
  2107   Inductive -> Inductive_ZF
  2108   Int       -> Int_ZF
  2109   IntDiv    -> IntDiv_ZF
  2110   Nat       -> Nat_ZF
  2111   List      -> List_ZF
  2112   Main      -> Main_ZF
  2113 
  2114 INCOMPATIBILITY: ZF theories that import individual theories below
  2115 Main might need to be adapted.  Regular theory Main is still
  2116 available, as trivial extension of Main_ZF.
  2117 
  2118 
  2119 *** ML ***
  2120 
  2121 * ML within Isar: antiquotation @{const name} or @{const
  2122 name(typargs)} produces statically-checked Const term.
  2123 
  2124 * Functor NamedThmsFun: data is available to the user as dynamic fact
  2125 (of the same name).  Removed obsolete print command.
  2126 
  2127 * Removed obsolete "use_legacy_bindings" function.
  2128 
  2129 * The ``print mode'' is now a thread-local value derived from a global
  2130 template (the former print_mode reference), thus access becomes
  2131 non-critical.  The global print_mode reference is for session
  2132 management only; user-code should use print_mode_value,
  2133 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  2134 
  2135 * Functions system/system_out provide a robust way to invoke external
  2136 shell commands, with propagation of interrupts (requires Poly/ML
  2137 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  2138 
  2139 
  2140 *** System ***
  2141 
  2142 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  2143 in accordance with Proof General 3.7, which prefers GNU emacs.
  2144 
  2145 * isatool tty runs Isabelle process with plain tty interaction;
  2146 optional line editor may be specified via ISABELLE_LINE_EDITOR
  2147 setting, the default settings attempt to locate "ledit" and "rlwrap".
  2148 
  2149 * isatool browser now works with Cygwin as well, using general
  2150 "javapath" function defined in Isabelle process environment.
  2151 
  2152 * YXML notation provides a simple and efficient alternative to
  2153 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  2154 isatool yxml as described in the Isabelle system manual.
  2155 
  2156 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  2157 provides general wrapper for managing an Isabelle process in a robust
  2158 fashion, with ``cooked'' output from stdin/stderr.
  2159 
  2160 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  2161 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  2162 
  2163 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  2164 way of changing the user's settings is via
  2165 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  2166 script.
  2167 
  2168 * Multithreading.max_threads := 0 refers to the number of actual CPU
  2169 cores of the underlying machine, which is a good starting point for
  2170 optimal performance tuning.  The corresponding usedir option -M allows
  2171 "max" as an alias for "0".  WARNING: does not work on certain versions
  2172 of Mac OS (with Poly/ML 5.1).
  2173 
  2174 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  2175 adverse effect of Isabelle flooding interactive front-ends (notably
  2176 ProofGeneral / XEmacs).
  2177 
  2178 
  2179 
  2180 New in Isabelle2007 (November 2007)
  2181 -----------------------------------
  2182 
  2183 *** General ***
  2184 
  2185 * More uniform information about legacy features, notably a
  2186 warning/error of "Legacy feature: ...", depending on the state of the
  2187 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  2188 legacy features will disappear eventually.
  2189 
  2190 * Theory syntax: the header format ``theory A = B + C:'' has been
  2191 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  2192 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  2193 
  2194 * Theory syntax: the old non-Isar theory file format has been
  2195 discontinued altogether.  Note that ML proof scripts may still be used
  2196 with Isar theories; migration is usually quite simple with the ML
  2197 function use_legacy_bindings.  INCOMPATIBILITY.
  2198 
  2199 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  2200 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  2201 quotes.
  2202 
  2203 * Theory loader: be more serious about observing the static theory
  2204 header specifications (including optional directories), but not the
  2205 accidental file locations of previously successful loads.  The strict
  2206 update policy of former update_thy is now already performed by
  2207 use_thy, so the former has been removed; use_thys updates several
  2208 theories simultaneously, just as 'imports' within a theory header
  2209 specification, but without merging the results.  Potential
  2210 INCOMPATIBILITY: may need to refine theory headers and commands
  2211 ROOT.ML which depend on load order.
  2212 
  2213 * Theory loader: optional support for content-based file
  2214 identification, instead of the traditional scheme of full physical
  2215 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  2216 (cf. the system manual).  The new scheme allows to work with
  2217 non-finished theories in persistent session images, such that source
  2218 files may be moved later on without requiring reloads.
  2219 
  2220 * Theory loader: old-style ML proof scripts being *attached* to a thy
  2221 file (with the same base name as the theory) are considered a legacy
  2222 feature, which will disappear eventually. Even now, the theory loader
  2223 no longer maintains dependencies on such files.
  2224 
  2225 * Syntax: the scope for resolving ambiguities via type-inference is
  2226 now limited to individual terms, instead of whole simultaneous
  2227 specifications as before. This greatly reduces the complexity of the
  2228 syntax module and improves flexibility by separating parsing and
  2229 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  2230 'fixes' etc.) are required in rare situations.
  2231 
  2232 * Syntax: constants introduced by new-style packages ('definition',
  2233 'abbreviation' etc.) are passed through the syntax module in
  2234 ``authentic mode''. This means that associated mixfix annotations
  2235 really stick to such constants, independently of potential name space
  2236 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2237 trees are represented slightly differently, may need to adapt syntax
  2238 translations accordingly. Use CONST marker in 'translations' and
  2239 @{const_syntax} antiquotation in 'parse_translation' etc.
  2240 
  2241 * Legacy goal package: reduced interface to the bare minimum required
  2242 to keep existing proof scripts running.  Most other user-level
  2243 functions are now part of the OldGoals structure, which is *not* open
  2244 by default (consider isatool expandshort before open OldGoals).
  2245 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2246 these tend to cause confusion about the actual goal (!) context being
  2247 used here, which is not necessarily the same as the_context().
  2248 
  2249 * Command 'find_theorems': supports "*" wild-card in "name:"
  2250 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2251 support a specific search form (see ProofGeneral/CHANGES).
  2252 
  2253 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2254 by default, which means that "prems" (and also "fixed variables") are
  2255 suppressed from proof state output.  Note that the ProofGeneral
  2256 settings mechanism allows to change and save options persistently, but
  2257 older versions of Isabelle will fail to start up if a negative prems
  2258 limit is imposed.
  2259 
  2260 * Local theory targets may be specified by non-nested blocks of
  2261 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2262 contain definitions, theorems etc., including any derived mechanism
  2263 that has been implemented on top of these primitives.  This concept
  2264 generalizes the existing ``theorem (in ...)'' towards more versatility
  2265 and scalability.
  2266 
  2267 * Proof General interface: proper undo of final 'end' command;
  2268 discontinued Isabelle/classic mode (ML proof scripts).
  2269 
  2270 
  2271 *** Document preparation ***
  2272 
  2273 * Added antiquotation @{theory name} which prints the given name,
  2274 after checking that it refers to a valid ancestor theory in the
  2275 current context.
  2276 
  2277 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2278 check the given source text as ML type/structure, printing verbatim.
  2279 
  2280 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  2281 "c args == rhs" given in the current context.  (Any number of
  2282 arguments may be given on the LHS.)
  2283 
  2284 
  2285 *** Pure ***
  2286 
  2287 * The 'class' package offers a combination of axclass and locale to
  2288 achieve Haskell-like type classes in Isabelle.  Definitions and
  2289 theorems within a class context produce both relative results (with
  2290 implicit parameters according to the locale context), and polymorphic
  2291 constants with qualified polymorphism (according to the class
  2292 context).  Within the body context of a 'class' target, a separate
  2293 syntax layer ("user space type system") takes care of converting
  2294 between global polymorphic consts and internal locale representation.
  2295 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  2296 "isatool doc classes" provides a tutorial.
  2297 
  2298 * Generic code generator framework allows to generate executable
  2299 code for ML and Haskell (including Isabelle classes).  A short usage
  2300 sketch:
  2301 
  2302     internal compilation:
  2303         export_code <list of constants (term syntax)> in SML
  2304     writing SML code to a file:
  2305         export_code <list of constants (term syntax)> in SML <filename>
  2306     writing OCaml code to a file:
  2307         export_code <list of constants (term syntax)> in OCaml <filename>
  2308     writing Haskell code to a bunch of files:
  2309         export_code <list of constants (term syntax)> in Haskell <filename>
  2310 
  2311     evaluating closed propositions to True/False using code generation:
  2312         method ``eval''
  2313 
  2314 Reasonable default setup of framework in HOL.
  2315 
  2316 Theorem attributs for selecting and transforming function equations theorems:
  2317 
  2318     [code fun]:        select a theorem as function equation for a specific constant
  2319     [code fun del]:    deselect a theorem as function equation for a specific constant
  2320     [code inline]:     select an equation theorem for unfolding (inlining) in place
  2321     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  2322 
  2323 User-defined serializations (target in {SML, OCaml, Haskell}):
  2324 
  2325     code_const <and-list of constants (term syntax)>
  2326       {(target) <and-list of const target syntax>}+
  2327 
  2328     code_type <and-list of type constructors>
  2329       {(target) <and-list of type target syntax>}+
  2330 
  2331     code_instance <and-list of instances>
  2332       {(target)}+
  2333         where instance ::= <type constructor> :: <class>
  2334 
  2335     code_class <and_list of classes>
  2336       {(target) <and-list of class target syntax>}+
  2337         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  2338 
  2339 code_instance and code_class only are effective to target Haskell.
  2340 
  2341 For example usage see src/HOL/ex/Codegenerator.thy and
  2342 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  2343 generation from Isabelle/HOL theories is available via "isatool doc
  2344 codegen".
  2345 
  2346 * Code generator: consts in 'consts_code' Isar commands are now
  2347 referred to by usual term syntax (including optional type
  2348 annotations).
  2349 
  2350 * Command 'no_translations' removes translation rules from theory
  2351 syntax.
  2352 
  2353 * Overloaded definitions are now actually checked for acyclic
  2354 dependencies.  The overloading scheme is slightly more general than
  2355 that of Haskell98, although Isabelle does not demand an exact
  2356 correspondence to type class and instance declarations.
  2357 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  2358 exotic versions of overloading -- at the discretion of the user!
  2359 
  2360 Polymorphic constants are represented via type arguments, i.e. the
  2361 instantiation that matches an instance against the most general
  2362 declaration given in the signature.  For example, with the declaration
  2363 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  2364 as c(nat).  Overloading is essentially simultaneous structural
  2365 recursion over such type arguments.  Incomplete specification patterns
  2366 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  2367 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  2368 Command 'print_theory' outputs the normalized system of recursive
  2369 equations, see section "definitions".
  2370 
  2371 * Configuration options are maintained within the theory or proof
  2372 context (with name and type bool/int/string), providing a very simple
  2373 interface to a poor-man's version of general context data.  Tools may
  2374 declare options in ML (e.g. using Attrib.config_int) and then refer to
  2375 these values using Config.get etc.  Users may change options via an
  2376 associated attribute of the same name.  This form of context
  2377 declaration works particularly well with commands 'declare' or
  2378 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  2379 very easy to avoid global references, which would not observe Isar
  2380 toplevel undo/redo and fail to work with multithreading.
  2381 
  2382 Various global ML references of Pure and HOL have been turned into
  2383 configuration options:
  2384 
  2385   Unify.search_bound		unify_search_bound
  2386   Unify.trace_bound		unify_trace_bound
  2387   Unify.trace_simp		unify_trace_simp
  2388   Unify.trace_types		unify_trace_types
  2389   Simplifier.simp_depth_limit	simp_depth_limit
  2390   Blast.depth_limit		blast_depth_limit
  2391   DatatypeProp.dtK		datatype_distinctness_limit
  2392   fast_arith_neq_limit  	fast_arith_neq_limit
  2393   fast_arith_split_limit	fast_arith_split_limit
  2394 
  2395 * Named collections of theorems may be easily installed as context
  2396 data using the functor NamedThmsFun (see also
  2397 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  2398 attributes; there is also a toplevel print command.  This facility is
  2399 just a common case of general context data, which is the preferred way
  2400 for anything more complex than just a list of facts in canonical
  2401 order.
  2402 
  2403 * Isar: command 'declaration' augments a local theory by generic
  2404 declaration functions written in ML.  This enables arbitrary content
  2405 being added to the context, depending on a morphism that tells the
  2406 difference of the original declaration context wrt. the application
  2407 context encountered later on.
  2408 
  2409 * Isar: proper interfaces for simplification procedures.  Command
  2410 'simproc_setup' declares named simprocs (with match patterns, and body
  2411 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  2412 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  2413 
  2414 * Isar: an extra pair of brackets around attribute declarations
  2415 abbreviates a theorem reference involving an internal dummy fact,
  2416 which will be ignored later --- only the effect of the attribute on
  2417 the background context will persist.  This form of in-place
  2418 declarations is particularly useful with commands like 'declare' and
  2419 'using', for example ``have A using [[simproc a]] by simp''.
  2420 
  2421 * Isar: method "assumption" (and implicit closing of subproofs) now
  2422 takes simple non-atomic goal assumptions into account: after applying
  2423 an assumption as a rule the resulting subgoals are solved by atomic
  2424 assumption steps.  This is particularly useful to finish 'obtain'
  2425 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  2426 without referring to the original premise "!!x. P x ==> thesis" in the
  2427 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  2428 more permissive.
  2429 
  2430 * Isar: implicit use of prems from the Isar proof context is
  2431 considered a legacy feature.  Common applications like ``have A .''
  2432 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  2433 referencing facts explicitly here improves readability and
  2434 maintainability of proof texts.
  2435 
  2436 * Isar: improper proof element 'guess' is like 'obtain', but derives
  2437 the obtained context from the course of reasoning!  For example:
  2438 
  2439   assume "EX x y. A x & B y"   -- "any previous fact"
  2440   then guess x and y by clarify
  2441 
  2442 This technique is potentially adventurous, depending on the facts and
  2443 proof tools being involved here.
  2444 
  2445 * Isar: known facts from the proof context may be specified as literal
  2446 propositions, using ASCII back-quote syntax.  This works wherever
  2447 named facts used to be allowed so far, in proof commands, proof
  2448 methods, attributes etc.  Literal facts are retrieved from the context
  2449 according to unification of type and term parameters.  For example,
  2450 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  2451 theorems in the current context, then these are valid literal facts:
  2452 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  2453 
  2454 There is also a proof method "fact" which does the same composition
  2455 for explicit goal states, e.g. the following proof texts coincide with
  2456 certain special cases of literal facts:
  2457 
  2458   have "A" by fact                 ==  note `A`
  2459   have "A ==> B" by fact           ==  note `A ==> B`
  2460   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  2461   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  2462 
  2463 * Isar: ":" (colon) is no longer a symbolic identifier character in
  2464 outer syntax.  Thus symbolic identifiers may be used without
  2465 additional white space in declarations like this: ``assume *: A''.
  2466 
  2467 * Isar: 'print_facts' prints all local facts of the current context,
  2468 both named and unnamed ones.
  2469 
  2470 * Isar: 'def' now admits simultaneous definitions, e.g.:
  2471 
  2472   def x == "t" and y == "u"
  2473 
  2474 * Isar: added command 'unfolding', which is structurally similar to
  2475 'using', but affects both the goal state and facts by unfolding given
  2476 rewrite rules.  Thus many occurrences of the 'unfold' method or
  2477 'unfolded' attribute may be replaced by first-class proof text.
  2478 
  2479 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  2480 and command 'unfolding' now all support object-level equalities
  2481 (potentially conditional).  The underlying notion of rewrite rule is
  2482 analogous to the 'rule_format' attribute, but *not* that of the
  2483 Simplifier (which is usually more generous).
  2484 
  2485 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  2486 premises of a theorem by n. Useful in conjunction with drule.
  2487 
  2488 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  2489 method expression within a sandbox consisting of the first N
  2490 sub-goals, which need to exist.  For example, ``simp_all [3]''
  2491 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  2492 simplifies all new goals that emerge from applying rule foo to the
  2493 originally first one.
  2494 
  2495 * Isar: schematic goals are no longer restricted to higher-order
  2496 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  2497 expected.
  2498 
  2499 * Isar: the conclusion of a long theorem statement is now either
  2500 'shows' (a simultaneous conjunction, as before), or 'obtains'
  2501 (essentially a disjunction of cases with local parameters and
  2502 assumptions).  The latter allows to express general elimination rules
  2503 adequately; in this notation common elimination rules look like this:
  2504 
  2505   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  2506     assumes "EX x. P x"
  2507     obtains x where "P x"
  2508 
  2509   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  2510     assumes "A & B"
  2511     obtains A and B
  2512 
  2513   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  2514     assumes "A | B"
  2515     obtains
  2516       A
  2517     | B
  2518 
  2519 The subsequent classical rules even refer to the formal "thesis"
  2520 explicitly:
  2521 
  2522   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  2523     obtains "~ thesis"
  2524 
  2525   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  2526     obtains "thesis ==> something"
  2527 
  2528 The actual proof of an 'obtains' statement is analogous to that of the
  2529 Isar proof element 'obtain', only that there may be several cases.
  2530 Optional case names may be specified in parentheses; these will be
  2531 available both in the present proof and as annotations in the
  2532 resulting rule, for later use with the 'cases' method (cf. attribute
  2533 case_names).
  2534 
  2535 * Isar: the assumptions of a long theorem statement are available as
  2536 "assms" fact in the proof context.  This is more appropriate than the
  2537 (historical) "prems", which refers to all assumptions of the current
  2538 context, including those from the target locale, proof body etc.
  2539 
  2540 * Isar: 'print_statement' prints theorems from the current theory or
  2541 proof context in long statement form, according to the syntax of a
  2542 top-level lemma.
  2543 
  2544 * Isar: 'obtain' takes an optional case name for the local context
  2545 introduction rule (default "that").
  2546 
  2547 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  2548 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  2549 to occur.
  2550 
  2551 * Pure: syntax "CONST name" produces a fully internalized constant
  2552 according to the current context.  This is particularly useful for
  2553 syntax translations that should refer to internal constant
  2554 representations independently of name spaces.
  2555 
  2556 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  2557 instead of "FOO ". This allows multiple binder declarations to coexist
  2558 in the same context.  INCOMPATIBILITY.
  2559 
  2560 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  2561 primitive that also works in a locale context (both for constants and
  2562 fixed variables). Type declaration and internal syntactic representation
  2563 of given constants retrieved from the context. Likewise, the
  2564 'no_notation' command allows to remove given syntax annotations from the
  2565 current context.
  2566 
  2567 * Isar/locales: new derived specification elements 'axiomatization',
  2568 'definition', 'abbreviation', which support type-inference, admit
  2569 object-level specifications (equality, equivalence).  See also the
  2570 isar-ref manual.  Examples:
  2571 
  2572   axiomatization
  2573     eq  (infix "===" 50) where
  2574     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  2575 
  2576   definition "f x y = x + y + 1"
  2577   definition g where "g x = f x x"
  2578 
  2579   abbreviation
  2580     neq  (infix "=!=" 50) where
  2581     "x =!= y == ~ (x === y)"
  2582 
  2583 These specifications may be also used in a locale context.  Then the
  2584 constants being introduced depend on certain fixed parameters, and the
  2585 constant name is qualified by the locale base name.  An internal
  2586 abbreviation takes care for convenient input and output, making the
  2587 parameters implicit and using the original short name.  See also
  2588 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  2589 entities from a monomorphic theory.
  2590 
  2591 Presently, abbreviations are only available 'in' a target locale, but
  2592 not inherited by general import expressions.  Also note that
  2593 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  2594 'translations' in common applications.  The "no_abbrevs" print mode
  2595 prevents folding of abbreviations in term output.
  2596 
  2597 Concrete syntax is attached to specified constants in internal form,
  2598 independently of name spaces.  The parse tree representation is
  2599 slightly different -- use 'notation' instead of raw 'syntax', and
  2600 'translations' with explicit "CONST" markup to accommodate this.
  2601 
  2602 * Pure/Isar: unified syntax for new-style specification mechanisms
  2603 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  2604 full type inference and dummy patterns ("_").  For example:
  2605 
  2606   definition "K x _ = x"
  2607 
  2608   inductive conj for A B
  2609   where "A ==> B ==> conj A B"
  2610 
  2611 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  2612 the current context.  Print mode "no_abbrevs" prevents inversion of
  2613 abbreviations on output.
  2614 
  2615 * Isar/locales: improved parameter handling: use of locales "var" and
  2616 "struct" no longer necessary; - parameter renamings are no longer
  2617 required to be injective.  For example, this allows to define
  2618 endomorphisms as locale endom = homom mult mult h.
  2619 
  2620 * Isar/locales: changed the way locales with predicates are defined.
  2621 Instead of accumulating the specification, the imported expression is
  2622 now an interpretation.  INCOMPATIBILITY: different normal form of
  2623 locale expressions.  In particular, in interpretations of locales with
  2624 predicates, goals repesenting already interpreted fragments are not
  2625 removed automatically.  Use methods `intro_locales' and
  2626 `unfold_locales'; see below.
  2627 
  2628 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  2629 provide backward reasoning on locales predicates.  The methods are
  2630 aware of interpretations and discharge corresponding goals.
  2631 `intro_locales' is less aggressive then `unfold_locales' and does not
  2632 unfold predicates to assumptions.
  2633 
  2634 * Isar/locales: the order in which locale fragments are accumulated
  2635 has changed.  This enables to override declarations from fragments due
  2636 to interpretations -- for example, unwanted simp rules.
  2637 
  2638 * Isar/locales: interpretation in theories and proof contexts has been
  2639 extended.  One may now specify (and prove) equations, which are
  2640 unfolded in interpreted theorems.  This is useful for replacing
  2641 defined concepts (constants depending on locale parameters) by
  2642 concepts already existing in the target context.  Example:
  2643 
  2644   interpretation partial_order ["op <= :: [int, int] => bool"]
  2645     where "partial_order.less (op <=) (x::int) y = (x < y)"
  2646 
  2647 Typically, the constant `partial_order.less' is created by a
  2648 definition specification element in the context of locale
  2649 partial_order.
  2650 
  2651 * Method "induct": improved internal context management to support
  2652 local fixes and defines on-the-fly. Thus explicit meta-level
  2653 connectives !!  and ==> are rarely required anymore in inductive goals
  2654 (using object-logic connectives for this purpose has been long
  2655 obsolete anyway). Common proof patterns are explained in
  2656 src/HOL/Induct/Common_Patterns.thy, see also
  2657 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  2658 examples.
  2659 
  2660 * Method "induct": improved handling of simultaneous goals. Instead of
  2661 introducing object-level conjunction, the statement is now split into
  2662 several conclusions, while the corresponding symbolic cases are nested
  2663 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  2664 see src/HOL/Induct/Common_Patterns.thy, for example.
  2665 
  2666 * Method "induct": mutual induction rules are now specified as a list
  2667 of rule sharing the same induction cases. HOL packages usually provide
  2668 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  2669 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  2670 mutual induction rules differently, i.e. like this:
  2671 
  2672   (induct rule: foo_bar.inducts)
  2673   (induct set: foo bar)
  2674   (induct pred: foo bar)
  2675   (induct type: foo bar)
  2676 
  2677 The ML function ProjectRule.projections turns old-style rules into the
  2678 new format.
  2679 
  2680 * Method "coinduct": dual of induction, see
  2681 src/HOL/Library/Coinductive_List.thy for various examples.
  2682 
  2683 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  2684 considered a legacy feature.
  2685 
  2686 * Attribute "symmetric" produces result with standardized schematic
  2687 variables (index 0).  Potential INCOMPATIBILITY.
  2688 
  2689 * Simplifier: by default the simplifier trace only shows top level
  2690 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  2691 default. Thus there is less danger of being flooded by the trace. The
  2692 trace indicates where parts have been suppressed.
  2693   
  2694 * Provers/classical: removed obsolete classical version of elim_format
  2695 attribute; classical elim/dest rules are now treated uniformly when
  2696 manipulating the claset.
  2697 
  2698 * Provers/classical: stricter checks to ensure that supplied intro,
  2699 dest and elim rules are well-formed; dest and elim rules must have at
  2700 least one premise.
  2701 
  2702 * Provers/classical: attributes dest/elim/intro take an optional
  2703 weight argument for the rule (just as the Pure versions).  Weights are
  2704 ignored by automated tools, but determine the search order of single
  2705 rule steps.
  2706 
  2707 * Syntax: input syntax now supports dummy variable binding "%_. b",
  2708 where the body does not mention the bound variable.  Note that dummy
  2709 patterns implicitly depend on their context of bounds, which makes
  2710 "{_. _}" match any set comprehension as expected.  Potential
  2711 INCOMPATIBILITY -- parse translations need to cope with syntactic
  2712 constant "_idtdummy" in the binding position.
  2713 
  2714 * Syntax: removed obsolete syntactic constant "_K" and its associated
  2715 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  2716 for example "A -> B" => "Pi A (%_. B)".
  2717 
  2718 * Pure: 'class_deps' command visualizes the subclass relation, using
  2719 the graph browser tool.
  2720 
  2721 * Pure: 'print_theory' now suppresses certain internal declarations by
  2722 default; use '!' option for full details.
  2723 
  2724 
  2725 *** HOL ***
  2726 
  2727 * Method "metis" proves goals by applying the Metis general-purpose
  2728 resolution prover (see also http://gilith.com/software/metis/).
  2729 Examples are in the directory MetisExamples.  WARNING: the
  2730 Isabelle/HOL-Metis integration does not yet work properly with
  2731 multi-threading.
  2732   
  2733 * Command 'sledgehammer' invokes external automatic theorem provers as
  2734 background processes.  It generates calls to the "metis" method if
  2735 successful. These can be pasted into the proof.  Users do not have to
  2736 wait for the automatic provers to return.  WARNING: does not really
  2737 work with multi-threading.
  2738 
  2739 * New "auto_quickcheck" feature tests outermost goal statements for
  2740 potential counter-examples.  Controlled by ML references
  2741 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  2742 5000 milliseconds).  Fails silently if statements is outside of
  2743 executable fragment, or any other codgenerator problem occurs.
  2744 
  2745 * New constant "undefined" with axiom "undefined x = undefined".
  2746 
  2747 * Added class "HOL.eq", allowing for code generation with polymorphic
  2748 equality.
  2749 
  2750 * Some renaming of class constants due to canonical name prefixing in
  2751 the new 'class' package:
  2752 
  2753     HOL.abs ~> HOL.abs_class.abs
  2754     HOL.divide ~> HOL.divide_class.divide
  2755     0 ~> HOL.zero_class.zero
  2756     1 ~> HOL.one_class.one
  2757     op + ~> HOL.plus_class.plus
  2758     op - ~> HOL.minus_class.minus
  2759     uminus ~> HOL.minus_class.uminus
  2760     op * ~> HOL.times_class.times
  2761     op < ~> HOL.ord_class.less
  2762     op <= > HOL.ord_class.less_eq
  2763     Nat.power ~> Power.power_class.power
  2764     Nat.size ~> Nat.size_class.size
  2765     Numeral.number_of ~> Numeral.number_class.number_of
  2766     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  2767     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  2768     Orderings.min ~> Orderings.ord_class.min
  2769     Orderings.max ~> Orderings.ord_class.max
  2770     Divides.op div ~> Divides.div_class.div
  2771     Divides.op mod ~> Divides.div_class.mod
  2772     Divides.op dvd ~> Divides.div_class.dvd
  2773 
  2774 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  2775 
  2776 a) User-defined constants using any of the names "plus", "minus",
  2777 "times", "less" or "less_eq". The standard syntax translations for
  2778 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  2779 names.
  2780 
  2781 b) Variables named "plus", "minus", "times", "less", "less_eq"
  2782 INCOMPATIBILITY: use more specific names.
  2783 
  2784 c) Permutative equations (e.g. "a + b = b + a")
  2785 Since the change of names also changes the order of terms, permutative
  2786 rewrite rules may get applied in a different order. Experience shows
  2787 that this is rarely the case (only two adaptions in the whole Isabelle
  2788 distribution).  INCOMPATIBILITY: rewrite proofs
  2789 
  2790 d) ML code directly refering to constant names
  2791 This in general only affects hand-written proof tactics, simprocs and
  2792 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  2793 Consider using @{const_name} antiquotation.
  2794 
  2795 * New class "default" with associated constant "default".
  2796 
  2797 * Function "sgn" is now overloaded and available on int, real, complex
  2798 (and other numeric types), using class "sgn".  Two possible defs of
  2799 sgn are given as equational assumptions in the classes sgn_if and
  2800 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  2801 INCOMPATIBILITY.
  2802 
  2803 * Locale "partial_order" now unified with class "order" (cf. theory
  2804 Orderings), added parameter "less".  INCOMPATIBILITY.
  2805 
  2806 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  2807 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  2808 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  2809 
  2810 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  2811 changed order of proof goals in instance proofs.
  2812 
  2813 * The transitivity reasoner for partial and linear orders is set up
  2814 for classes "order" and "linorder".  Instances of the reasoner are available
  2815 in all contexts importing or interpreting the corresponding locales.
  2816 Method "order" invokes the reasoner separately; the reasoner
  2817 is also integrated with the Simplifier as a solver.  Diagnostic
  2818 command 'print_orders' shows the available instances of the reasoner
  2819 in the current context.
  2820 
  2821 * Localized monotonicity predicate in theory "Orderings"; integrated
  2822 lemmas max_of_mono and min_of_mono with this predicate.
  2823 INCOMPATIBILITY.
  2824 
  2825 * Formulation of theorem "dense" changed slightly due to integration
  2826 with new class dense_linear_order.
  2827 
  2828 * Uniform lattice theory development in HOL.
  2829 
  2830     constants "meet" and "join" now named "inf" and "sup"
  2831     constant "Meet" now named "Inf"
  2832 
  2833     classes "meet_semilorder" and "join_semilorder" now named
  2834       "lower_semilattice" and "upper_semilattice"
  2835     class "lorder" now named "lattice"
  2836     class "comp_lat" now named "complete_lattice"
  2837 
  2838     Instantiation of lattice classes allows explicit definitions
  2839     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  2840 
  2841   INCOMPATIBILITY.  Theorem renames:
  2842 
  2843     meet_left_le            ~> inf_le1
  2844     meet_right_le           ~> inf_le2
  2845     join_left_le            ~> sup_ge1
  2846     join_right_le           ~> sup_ge2
  2847     meet_join_le            ~> inf_sup_ord
  2848     le_meetI                ~> le_infI
  2849     join_leI                ~> le_supI
  2850     le_meet                 ~> le_inf_iff
  2851     le_join                 ~> ge_sup_conv
  2852     meet_idempotent         ~> inf_idem
  2853     join_idempotent         ~> sup_idem
  2854     meet_comm               ~> inf_commute
  2855     join_comm               ~> sup_commute
  2856     meet_leI1               ~> le_infI1
  2857     meet_leI2               ~> le_infI2
  2858     le_joinI1               ~> le_supI1
  2859     le_joinI2               ~> le_supI2
  2860     meet_assoc              ~> inf_assoc
  2861     join_assoc              ~> sup_assoc
  2862     meet_left_comm          ~> inf_left_commute
  2863     meet_left_idempotent    ~> inf_left_idem
  2864     join_left_comm          ~> sup_left_commute
  2865     join_left_idempotent    ~> sup_left_idem
  2866     meet_aci                ~> inf_aci
  2867     join_aci                ~> sup_aci
  2868     le_def_meet             ~> le_iff_inf
  2869     le_def_join             ~> le_iff_sup
  2870     join_absorp2            ~> sup_absorb2
  2871     join_absorp1            ~> sup_absorb1
  2872     meet_absorp1            ~> inf_absorb1
  2873     meet_absorp2            ~> inf_absorb2
  2874     meet_join_absorp        ~> inf_sup_absorb
  2875     join_meet_absorp        ~> sup_inf_absorb
  2876     distrib_join_le         ~> distrib_sup_le
  2877     distrib_meet_le         ~> distrib_inf_le
  2878 
  2879     add_meet_distrib_left   ~> add_inf_distrib_left
  2880     add_join_distrib_left   ~> add_sup_distrib_left
  2881     is_join_neg_meet        ~> is_join_neg_inf
  2882     is_meet_neg_join        ~> is_meet_neg_sup
  2883     add_meet_distrib_right  ~> add_inf_distrib_right
  2884     add_join_distrib_right  ~> add_sup_distrib_right
  2885     add_meet_join_distribs  ~> add_sup_inf_distribs
  2886     join_eq_neg_meet        ~> sup_eq_neg_inf
  2887     meet_eq_neg_join        ~> inf_eq_neg_sup
  2888     add_eq_meet_join        ~> add_eq_inf_sup
  2889     meet_0_imp_0            ~> inf_0_imp_0
  2890     join_0_imp_0            ~> sup_0_imp_0
  2891     meet_0_eq_0             ~> inf_0_eq_0
  2892     join_0_eq_0             ~> sup_0_eq_0
  2893     neg_meet_eq_join        ~> neg_inf_eq_sup
  2894     neg_join_eq_meet        ~> neg_sup_eq_inf
  2895     join_eq_if              ~> sup_eq_if
  2896 
  2897     mono_meet               ~> mono_inf
  2898     mono_join               ~> mono_sup
  2899     meet_bool_eq            ~> inf_bool_eq
  2900     join_bool_eq            ~> sup_bool_eq
  2901     meet_fun_eq             ~> inf_fun_eq
  2902     join_fun_eq             ~> sup_fun_eq
  2903     meet_set_eq             ~> inf_set_eq
  2904     join_set_eq             ~> sup_set_eq
  2905     meet1_iff               ~> inf1_iff
  2906     meet2_iff               ~> inf2_iff
  2907     meet1I                  ~> inf1I
  2908     meet2I                  ~> inf2I
  2909     meet1D1                 ~> inf1D1
  2910     meet2D1                 ~> inf2D1
  2911     meet1D2                 ~> inf1D2
  2912     meet2D2                 ~> inf2D2
  2913     meet1E                  ~> inf1E
  2914     meet2E                  ~> inf2E
  2915     join1_iff               ~> sup1_iff
  2916     join2_iff               ~> sup2_iff
  2917     join1I1                 ~> sup1I1
  2918     join2I1                 ~> sup2I1
  2919     join1I1                 ~> sup1I1
  2920     join2I2                 ~> sup1I2
  2921     join1CI                 ~> sup1CI
  2922     join2CI                 ~> sup2CI
  2923     join1E                  ~> sup1E
  2924     join2E                  ~> sup2E
  2925 
  2926     is_meet_Meet            ~> is_meet_Inf
  2927     Meet_bool_def           ~> Inf_bool_def
  2928     Meet_fun_def            ~> Inf_fun_def
  2929     Meet_greatest           ~> Inf_greatest
  2930     Meet_lower              ~> Inf_lower
  2931     Meet_set_def            ~> Inf_set_def
  2932 
  2933     Sup_def                 ~> Sup_Inf
  2934     Sup_bool_eq             ~> Sup_bool_def
  2935     Sup_fun_eq              ~> Sup_fun_def
  2936     Sup_set_eq              ~> Sup_set_def
  2937 
  2938     listsp_meetI            ~> listsp_infI
  2939     listsp_meet_eq          ~> listsp_inf_eq
  2940 
  2941     meet_min                ~> inf_min
  2942     join_max                ~> sup_max
  2943 
  2944 * Added syntactic class "size"; overloaded constant "size" now has
  2945 type "'a::size ==> bool"
  2946 
  2947 * Internal reorganisation of `size' of datatypes: size theorems
  2948 "foo.size" are no longer subsumed by "foo.simps" (but are still
  2949 simplification rules by default!); theorems "prod.size" now named
  2950 "*.size".
  2951 
  2952 * Class "div" now inherits from class "times" rather than "type".
  2953 INCOMPATIBILITY.
  2954 
  2955 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  2956 Linorder etc.  have disappeared; operations defined in terms of
  2957 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  2958 
  2959 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  2960 
  2961 * HOL-Word: New extensive library and type for generic, fixed size
  2962 machine words, with arithemtic, bit-wise, shifting and rotating
  2963 operations, reflection into int, nat, and bool lists, automation for
  2964 linear arithmetic (by automatic reflection into nat or int), including
  2965 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  2966 arithmetic type classes, supporting automatic simplification of
  2967 numerals on all operations.
  2968 
  2969 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  2970 
  2971 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  2972 
  2973 * Code generator library theories:
  2974   - Code_Integer represents HOL integers by big integer literals in target
  2975     languages.
  2976   - Code_Char represents HOL characters by character literals in target
  2977     languages.
  2978   - Code_Char_chr like Code_Char, but also offers treatment of character
  2979     codes; includes Code_Integer.
  2980   - Executable_Set allows to generate code for finite sets using lists.
  2981   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  2982     denominator).
  2983   - Executable_Real implements a subset of real numbers, namly those
  2984     representable by rational numbers.
  2985   - Efficient_Nat implements natural numbers by integers, which in general will
  2986     result in higher efficency; pattern matching with 0/Suc is eliminated;
  2987     includes Code_Integer.
  2988   - Code_Index provides an additional datatype index which is mapped to
  2989     target-language built-in integers.
  2990   - Code_Message provides an additional datatype message_string which is isomorphic to
  2991     strings; messages are mapped to target-language strings.
  2992 
  2993 * New package for inductive predicates
  2994 
  2995   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  2996 
  2997     inductive
  2998       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2999       for z_1 :: U_1 and ... and z_n :: U_m
  3000     where
  3001       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3002     | ...
  3003 
  3004   with full support for type-inference, rather than
  3005 
  3006     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3007 
  3008     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3009     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3010 
  3011     inductive "s z_1 ... z_m"
  3012     intros
  3013       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3014       ...
  3015 
  3016   For backward compatibility, there is a wrapper allowing inductive
  3017   sets to be defined with the new package via
  3018 
  3019     inductive_set
  3020       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3021       for z_1 :: U_1 and ... and z_n :: U_m
  3022     where
  3023       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3024     | ...
  3025 
  3026   or
  3027 
  3028     inductive_set
  3029       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3030       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3031       for z_1 :: U_1 and ... and z_n :: U_m
  3032     where
  3033       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3034     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3035     | ...
  3036 
  3037   if the additional syntax "p ..." is required.
  3038 
  3039   Numerous examples can be found in the subdirectories src/HOL/Auth,
  3040   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  3041 
  3042   INCOMPATIBILITIES:
  3043 
  3044   - Since declaration and definition of inductive sets or predicates
  3045     is no longer separated, abbreviations involving the newly
  3046     introduced sets or predicates must be specified together with the
  3047     introduction rules after the 'where' keyword (see above), rather
  3048     than before the actual inductive definition.
  3049 
  3050   - The variables in induction and elimination rules are now
  3051     quantified in the order of their occurrence in the introduction
  3052     rules, rather than in alphabetical order. Since this may break
  3053     some proofs, these proofs either have to be repaired, e.g. by
  3054     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  3055     statements of the form
  3056 
  3057       case (rule_i a_i_1 ... a_i_{k_i})
  3058 
  3059     or the old order of quantification has to be restored by explicitly adding
  3060     meta-level quantifiers in the introduction rules, i.e.
  3061 
  3062       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  3063 
  3064   - The format of the elimination rules is now
  3065 
  3066       p z_1 ... z_m x_1 ... x_n ==>
  3067         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3068         ==> ... ==> P
  3069 
  3070     for predicates and
  3071 
  3072       (x_1, ..., x_n) : s z_1 ... z_m ==>
  3073         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3074         ==> ... ==> P
  3075 
  3076     for sets rather than
  3077 
  3078       x : s z_1 ... z_m ==>
  3079         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  3080         ==> ... ==> P
  3081 
  3082     This may require terms in goals to be expanded to n-tuples
  3083     (e.g. using case_tac or simplification with the split_paired_all
  3084     rule) before the above elimination rule is applicable.
  3085 
  3086   - The elimination or case analysis rules for (mutually) inductive
  3087     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  3088     list of rules "p_1_..._p_k.elims" is no longer available.
  3089 
  3090 * New package "function"/"fun" for general recursive functions,
  3091 supporting mutual and nested recursion, definitions in local contexts,
  3092 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  3093 for small examples, and the separate tutorial on the function
  3094 package. The old recdef "package" is still available as before, but
  3095 users are encouraged to use the new package.
  3096 
  3097 * Method "lexicographic_order" automatically synthesizes termination
  3098 relations as lexicographic combinations of size measures. 
  3099 
  3100 * Case-expressions allow arbitrary constructor-patterns (including
  3101 "_") and take their order into account, like in functional
  3102 programming.  Internally, this is translated into nested
  3103 case-expressions; missing cases are added and mapped to the predefined
  3104 constant "undefined". In complicated cases printing may no longer show
  3105 the original input but the internal form. Lambda-abstractions allow
  3106 the same form of pattern matching: "% pat1 => e1 | ..." is an
  3107 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  3108 variable.
  3109 
  3110 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  3111 is an abbreviation for "of_nat :: nat => int". The simplification
  3112 rules for "of_nat" have been changed to work like "int" did
  3113 previously.  Potential INCOMPATIBILITY:
  3114   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  3115   - of_nat_diff and of_nat_mult are no longer default simp rules
  3116 
  3117 * Method "algebra" solves polynomial equations over (semi)rings using
  3118 Groebner bases. The (semi)ring structure is defined by locales and the
  3119 tool setup depends on that generic context. Installing the method for
  3120 a specific type involves instantiating the locale and possibly adding
  3121 declarations for computation on the coefficients.  The method is
  3122 already instantiated for natural numbers and for the axiomatic class
  3123 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  3124 CALCULEMUS 2007 for the general principles underlying this
  3125 architecture of context-aware proof-tools.
  3126 
  3127 * Method "ferrack" implements quantifier elimination over
  3128 special-purpose dense linear orders using locales (analogous to
  3129 "algebra"). The method is already installed for class
  3130 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  3131 rat, etc.
  3132 
  3133 * Former constant "List.op @" now named "List.append".  Use ML
  3134 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  3135 circumvent possible incompatibilities when working on ML level.
  3136 
  3137 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  3138 
  3139 * New function listsum :: 'a list => 'a for arbitrary monoids.
  3140 Special syntax: "SUM x <- xs. f x" (and latex variants)
  3141 
  3142 * New syntax for Haskell-like list comprehension (input only), eg.
  3143 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  3144 
  3145 * The special syntax for function "filter" has changed from [x :
  3146 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  3147 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  3148 
  3149 * [a..b] is now defined for arbitrary linear orders.  It used to be
  3150 defined on nat only, as an abbreviation for [a..<Suc b]
  3151 INCOMPATIBILITY.
  3152 
  3153 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  3154 
  3155 * New functions "sorted" and "sort" in src/HOL/List.thy.
  3156 
  3157 * New lemma collection field_simps (an extension of ring_simps) for
  3158 manipulating (in)equations involving division. Multiplies with all
  3159 denominators that can be proved to be non-zero (in equations) or
  3160 positive/negative (in inequations).
  3161 
  3162 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  3163 have been improved and renamed to ring_simps, group_simps and
  3164 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  3165 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  3166 
  3167 * Theory Library/Commutative_Ring: switched from recdef to function
  3168 package; constants add, mul, pow now curried.  Infix syntax for
  3169 algebraic operations.
  3170 
  3171 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  3172 INCOMPATIBILITY.
  3173 
  3174 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  3175 INCOMPATIBILITY.
  3176 
  3177 * HOL/records: generalised field-update to take a function on the
  3178 field rather than the new value: r(|A := x|) is translated to A_update
  3179 (K x) r The K-combinator that is internally used is called K_record.
  3180 INCOMPATIBILITY: Usage of the plain update functions has to be
  3181 adapted.
  3182  
  3183 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  3184 * x = 0, which are required for a semiring.  Richer structures do not
  3185 inherit from semiring_0 anymore, because this property is a theorem
  3186 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  3187 there is more to prove, but this is mostly trivial.
  3188 
  3189 * Class "recpower" is generalized to arbitrary monoids, not just
  3190 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  3191 commutativity or semiring properties additionally.
  3192 
  3193 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  3194 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  3195 better use 'abbreviation'.
  3196 
  3197 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  3198 
  3199 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  3200 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  3201 significant changes for setting up numeral syntax for types:
  3202   - New constants Numeral.pred and Numeral.succ instead
  3203       of former Numeral.bin_pred and Numeral.bin_succ.
  3204   - Use integer operations instead of bin_add, bin_mult and so on.
  3205   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  3206   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  3207 
  3208 See src/HOL/Integ/IntArith.thy for an example setup.
  3209 
  3210 * Command 'normal_form' computes the normal form of a term that may
  3211 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  3212 produces ``[b, c, a]'' (without proof).  This command is suitable for
  3213 heavy-duty computations because the functions are compiled to ML
  3214 first.  Correspondingly, a method "normalization" is provided.  See
  3215 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  3216 
  3217 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  3218 25 like -->); output depends on the "iff" print_mode, the default is
  3219 "A = B" (with priority 50).
  3220 
  3221 * Relations less (<) and less_eq (<=) are also available on type bool.
  3222 Modified syntax to disallow nesting without explicit parentheses,
  3223 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  3224 INCOMPATIBILITY.
  3225 
  3226 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  3227 
  3228 * Relation composition operator "op O" now has precedence 75 and binds
  3229 stronger than union and intersection. INCOMPATIBILITY.
  3230 
  3231 * The old set interval syntax "{m..n(}" (and relatives) has been
  3232 removed.  Use "{m..<n}" (and relatives) instead.
  3233 
  3234 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3235 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3236 ``declare [[simproc del: neq]]''.
  3237 
  3238 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3239 True/False.
  3240 
  3241 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3242 
  3243 * Theorem setsum_mult renamed to setsum_right_distrib.
  3244 
  3245 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3246 ``rule'' method.
  3247 
  3248 * Reimplemented methods "sat" and "satx", with several improvements:
  3249 goals no longer need to be stated as "<prems> ==> False", equivalences
  3250 (i.e. "=" on type bool) are handled, variable names of the form
  3251 "lit_<n>" are no longer reserved, significant speedup.
  3252 
  3253 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3254 zChaff is still supported as well.
  3255 
  3256 * 'inductive' and 'datatype': provide projections of mutual rules,
  3257 bundled as foo_bar.inducts;
  3258 
  3259 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3260 Library.
  3261 
  3262 * Library: moved theory Accessible_Part to main HOL.
  3263 
  3264 * Library: added theory Coinductive_List of potentially infinite lists
  3265 as greatest fixed-point.
  3266 
  3267 * Library: added theory AssocList which implements (finite) maps as
  3268 association lists.
  3269 
  3270 * Method "evaluation" solves goals (i.e. a boolean expression)
  3271 efficiently by compiling it to ML.  The goal is "proved" (via an
  3272 oracle) if it evaluates to True.
  3273 
  3274 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3275 also when invoked by the simplifier.  This results in the Simplifier
  3276 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3277 Configuration option fast_arith_split_limit=0 recovers the old
  3278 behavior.
  3279 
  3280 * Support for hex (0x20) and binary (0b1001) numerals.
  3281 
  3282 * New method: reify eqs (t), where eqs are equations for an
  3283 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  3284 parameter, computes a term s::'b and a list xs::'a list and proves the
  3285 theorem I xs s = t. This is also known as reification or quoting. The
  3286 resulting theorem is applied to the subgoal to substitute t with I xs
  3287 s.  If t is omitted, the subgoal itself is reified.
  3288 
  3289 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  3290 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  3291 where f is supposed to be a computable function (in the sense of code
  3292 generattion). The method uses reify to compute s and xs as above then
  3293 applies corr_thm and uses normalization by evaluation to "prove" f s =
  3294 r and finally gets the theorem t = r, which is again applied to the
  3295 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  3296 
  3297 * Reflection: Automatic reification now handels binding, an example is
  3298 available in src/HOL/ex/ReflectionEx.thy
  3299 
  3300 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  3301 command 'statespace' that is similar to 'record', but introduces an
  3302 abstract specification based on the locale infrastructure instead of
  3303 HOL types.  This leads to extra flexibility in composing state spaces,
  3304 in particular multiple inheritance and renaming of components.
  3305 
  3306 
  3307 *** HOL-Complex ***
  3308 
  3309 * Hyperreal: Functions root and sqrt are now defined on negative real
  3310 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  3311 Nonnegativity side conditions have been removed from many lemmas, so
  3312 that more subgoals may now be solved by simplification; potential
  3313 INCOMPATIBILITY.
  3314 
  3315 * Real: new type classes formalize real normed vector spaces and
  3316 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  3317 and norm :: 'a => real.
  3318 
  3319 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  3320 reals into other types. The overloaded constant Reals :: 'a set is now
  3321 defined as range of_real; potential INCOMPATIBILITY.
  3322 
  3323 * Real: proper support for ML code generation, including 'quickcheck'.
  3324 Reals are implemented as arbitrary precision rationals.
  3325 
  3326 * Hyperreal: Several constants that previously worked only for the
  3327 reals have been generalized, so they now work over arbitrary vector
  3328 spaces. Type annotations may need to be added in some cases; potential
  3329 INCOMPATIBILITY.
  3330 
  3331   Infinitesimal  :: ('a::real_normed_vector) star set
  3332   HFinite        :: ('a::real_normed_vector) star set
  3333   HInfinite      :: ('a::real_normed_vector) star set
  3334   approx         :: ('a::real_normed_vector) star => 'a star => bool
  3335   monad          :: ('a::real_normed_vector) star => 'a star set
  3336   galaxy         :: ('a::real_normed_vector) star => 'a star set
  3337   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  3338   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  3339   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  3340   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  3341   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  3342   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  3343   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  3344   sgn            :: 'a::real_normed_vector => 'a
  3345   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  3346 
  3347 * Complex: Some complex-specific constants are now abbreviations for
  3348 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  3349 hnorm.  Other constants have been entirely removed in favor of the
  3350 polymorphic versions (INCOMPATIBILITY):
  3351 
  3352   approx        <-- capprox
  3353   HFinite       <-- CFinite
  3354   HInfinite     <-- CInfinite
  3355   Infinitesimal <-- CInfinitesimal
  3356   monad         <-- cmonad
  3357   galaxy        <-- cgalaxy
  3358   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  3359   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  3360   (ns)deriv     <-- (ns)cderiv
  3361 
  3362 
  3363 *** HOL-Algebra ***
  3364 
  3365 * Formalisation of ideals and the quotient construction over rings.
  3366 
  3367 * Order and lattice theory no longer based on records.
  3368 INCOMPATIBILITY.
  3369 
  3370 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  3371 greatest_closed.  INCOMPATIBILITY.
  3372 
  3373 * Method algebra is now set up via an attribute.  For examples see
  3374 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  3375 of algebraic structures.
  3376 
  3377 * Renamed theory CRing to Ring.
  3378 
  3379 
  3380 *** HOL-Nominal ***
  3381 
  3382 * Substantial, yet incomplete support for nominal datatypes (binding
  3383 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  3384 src/HOL/Nominal/Examples.  Prospective users should consult
  3385 http://isabelle.in.tum.de/nominal/
  3386 
  3387 
  3388 *** ML ***
  3389 
  3390 * ML basics: just one true type int, which coincides with IntInf.int
  3391 (even on SML/NJ).
  3392 
  3393 * ML within Isar: antiquotations allow to embed statically-checked
  3394 formal entities in the source, referring to the context available at
  3395 compile-time.  For example:
  3396 
  3397 ML {* @{sort "{zero,one}"} *}
  3398 ML {* @{typ "'a => 'b"} *}
  3399 ML {* @{term "%x. x"} *}
  3400 ML {* @{prop "x == y"} *}
  3401 ML {* @{ctyp "'a => 'b"} *}
  3402 ML {* @{cterm "%x. x"} *}
  3403 ML {* @{cprop "x == y"} *}
  3404 ML {* @{thm asm_rl} *}
  3405 ML {* @{thms asm_rl} *}
  3406 ML {* @{type_name c} *}
  3407 ML {* @{type_syntax c} *}
  3408 ML {* @{const_name c} *}
  3409 ML {* @{const_syntax c} *}
  3410 ML {* @{context} *}
  3411 ML {* @{theory} *}
  3412 ML {* @{theory Pure} *}
  3413 ML {* @{theory_ref} *}
  3414 ML {* @{theory_ref Pure} *}
  3415 ML {* @{simpset} *}
  3416 ML {* @{claset} *}
  3417 ML {* @{clasimpset} *}
  3418 
  3419 The same works for sources being ``used'' within an Isar context.
  3420 
  3421 * ML in Isar: improved error reporting; extra verbosity with
  3422 ML_Context.trace enabled.
  3423 
  3424 * Pure/General/table.ML: the join operations now works via exceptions
  3425 DUP/SAME instead of type option. This is simpler in simple cases, and
  3426 admits slightly more efficient complex applications.
  3427 
  3428 * Pure: 'advanced' translation functions (parse_translation etc.) now
  3429 use Context.generic instead of just theory.
  3430 
  3431 * Pure: datatype Context.generic joins theory/Proof.context and
  3432 provides some facilities for code that works in either kind of
  3433 context, notably GenericDataFun for uniform theory and proof data.
  3434 
  3435 * Pure: simplified internal attribute type, which is now always
  3436 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  3437 local (Proof.context) attributes have been discontinued, while
  3438 minimizing code duplication. Thm.rule_attribute and
  3439 Thm.declaration_attribute build canonical attributes; see also structure
  3440 Context for further operations on Context.generic, notably
  3441 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  3442 declarations and definitions.
  3443 
  3444 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  3445 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  3446 init only required for impure data. INCOMPATIBILITY: empty really need
  3447 to be empty (no dependencies on theory content!)
  3448 
  3449 * Pure/kernel: consts certification ignores sort constraints given in
  3450 signature declarations. (This information is not relevant to the
  3451 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  3452 potential INCOMPATIBILITY.
  3453 
  3454 * Pure: axiomatic type classes are now purely definitional, with
  3455 explicit proofs of class axioms and super class relations performed
  3456 internally. See Pure/axclass.ML for the main internal interfaces --
  3457 notably AxClass.define_class supercedes AxClass.add_axclass, and
  3458 AxClass.axiomatize_class/classrel/arity supersede
  3459 Sign.add_classes/classrel/arities.
  3460 
  3461 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  3462 global/local versions on theory vs. Proof.context have been
  3463 discontinued; Attrib.syntax and Method.syntax have been adapted
  3464 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  3465 attributes, methods, etc.
  3466 
  3467 * Pure: several functions of signature "... -> theory -> theory * ..."
  3468 have been reoriented to "... -> theory -> ... * theory" in order to
  3469 allow natural usage in combination with the ||>, ||>>, |-> and
  3470 fold_map combinators.
  3471 
  3472 * Pure: official theorem names (closed derivations) and additional
  3473 comments (tags) are now strictly separate.  Name hints -- which are
  3474 maintained as tags -- may be attached any time without affecting the
  3475 derivation.
  3476 
  3477 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  3478 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  3479 achieve the old behaviour.
  3480 
  3481 * Pure: the "Goal" constant is now called "prop", supporting a
  3482 slightly more general idea of ``protecting'' meta-level rule
  3483 statements.
  3484 
  3485 * Pure: Logic.(un)varify only works in a global context, which is now
  3486 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  3487 Logic.legacy_(un)varify as temporary workaround.
  3488 
  3489 * Pure: structure Name provides scalable operations for generating
  3490 internal variable names, notably Name.variants etc.  This replaces
  3491 some popular functions from term.ML:
  3492 
  3493   Term.variant		->  Name.variant
  3494   Term.variantlist	->  Name.variant_list
  3495   Term.invent_names	->  Name.invent_list
  3496 
  3497 Note that low-level renaming rarely occurs in new code -- operations
  3498 from structure Variable are used instead (see below).
  3499 
  3500 * Pure: structure Variable provides fundamental operations for proper
  3501 treatment of fixed/schematic variables in a context.  For example,
  3502 Variable.import introduces fixes for schematics of given facts and
  3503 Variable.export reverses the effect (up to renaming) -- this replaces
  3504 various freeze_thaw operations.
  3505 
  3506 * Pure: structure Goal provides simple interfaces for
  3507 init/conclude/finish and tactical prove operations (replacing former
  3508 Tactic.prove).  Goal.prove is the canonical way to prove results
  3509 within a given context; Goal.prove_global is a degraded version for
  3510 theory level goals, including a global Drule.standard.  Note that
  3511 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  3512 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  3513 in a locale context).
  3514 
  3515 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  3516 and type checking (Syntax.check_term etc.), with common combinations
  3517 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  3518 which are considered legacy and await removal.
  3519 
  3520 * Pure/Syntax: generic interfaces for type unchecking
  3521 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  3522 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  3523 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  3524 available for convenience, but refer to the very same operations using
  3525 a mere theory instead of a full context.
  3526 
  3527 * Isar: simplified treatment of user-level errors, using exception
  3528 ERROR of string uniformly.  Function error now merely raises ERROR,
  3529 without any side effect on output channels.  The Isar toplevel takes
  3530 care of proper display of ERROR exceptions.  ML code may use plain
  3531 handle/can/try; cat_error may be used to concatenate errors like this:
  3532 
  3533   ... handle ERROR msg => cat_error msg "..."
  3534 
  3535 Toplevel ML code (run directly or through the Isar toplevel) may be
  3536 embedded into the Isar toplevel with exception display/debug like
  3537 this:
  3538 
  3539   Isar.toplevel (fn () => ...)
  3540 
  3541 INCOMPATIBILITY, removed special transform_error facilities, removed
  3542 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  3543 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  3544 -- use plain ERROR instead.
  3545 
  3546 * Isar: theory setup now has type (theory -> theory), instead of a
  3547 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  3548 
  3549 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  3550 ProofContext.debug/verbose flags.
  3551 
  3552 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  3553 theory before entering a proof state.  Transactions now always see a
  3554 quasi-functional intermediate checkpoint, both in interactive and
  3555 batch mode.
  3556 
  3557 * Isar: simplified interfaces for outer syntax.  Renamed
  3558 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  3559 OuterSyntax.add_parsers -- this functionality is now included in
  3560 OuterSyntax.command etc.  INCOMPATIBILITY.
  3561 
  3562 * Simplifier: the simpset of a running simplification process now
  3563 contains a proof context (cf. Simplifier.the_context), which is the
  3564 very context that the initial simpset has been retrieved from (by
  3565 simpset_of/local_simpset_of).  Consequently, all plug-in components
  3566 (solver, looper etc.) may depend on arbitrary proof data.
  3567 
  3568 * Simplifier.inherit_context inherits the proof context (plus the
  3569 local bounds) of the current simplification process; any simproc
  3570 etc. that calls the Simplifier recursively should do this!  Removed
  3571 former Simplifier.inherit_bounds, which is already included here --
  3572 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  3573 specify an explicit context using Simplifier.context/theory_context.
  3574 
  3575 * Simplifier/Classical Reasoner: more abstract interfaces
  3576 change_simpset/claset for modifying the simpset/claset reference of a
  3577 theory; raw versions simpset/claset_ref etc. have been discontinued --
  3578 INCOMPATIBILITY.
  3579 
  3580 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  3581 "Trueprop" etc.
  3582 
  3583 
  3584 *** System ***
  3585 
  3586 * settings: the default heap location within ISABELLE_HOME_USER now
  3587 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  3588 Isabelle installations.
  3589 
  3590 * isabelle-process: option -S (secure mode) disables some critical
  3591 operations, notably runtime compilation and evaluation of ML source
  3592 code.
  3593 
  3594 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  3595 
  3596 * Support for parallel execution, using native multicore support of
  3597 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  3598 independent theories, according to the given theory header
  3599 specifications. The maximum number of worker threads is specified via
  3600 usedir option -M or the "max-threads" setting in Proof General. A
  3601 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  3602 to 6 on a 8-core machine.  User-code needs to observe certain
  3603 guidelines for thread-safe programming, see appendix A in the Isar
  3604 Implementation manual.
  3605 
  3606 
  3607 
  3608 New in Isabelle2005 (October 2005)
  3609 ----------------------------------
  3610 
  3611 *** General ***
  3612 
  3613 * Theory headers: the new header syntax for Isar theories is
  3614 
  3615   theory <name>
  3616   imports <theory1> ... <theoryN>
  3617   uses <file1> ... <fileM>
  3618   begin
  3619 
  3620 where the 'uses' part is optional.  The previous syntax
  3621 
  3622   theory <name> = <theory1> + ... + <theoryN>:
  3623 
  3624 will disappear in the next release.  Use isatool fixheaders to convert
  3625 existing theory files.  Note that there is no change in ancient
  3626 non-Isar theories now, but these will disappear soon.
  3627 
  3628 * Theory loader: parent theories can now also be referred to via
  3629 relative and absolute paths.
  3630 
  3631 * Command 'find_theorems' searches for a list of criteria instead of a
  3632 list of constants. Known criteria are: intro, elim, dest, name:string,
  3633 simp:term, and any term. Criteria can be preceded by '-' to select
  3634 theorems that do not match. Intro, elim, dest select theorems that
  3635 match the current goal, name:s selects theorems whose fully qualified
  3636 name contain s, and simp:term selects all simplification rules whose
  3637 lhs match term.  Any other term is interpreted as pattern and selects
  3638 all theorems matching the pattern. Available in ProofGeneral under
  3639 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  3640 
  3641   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  3642 
  3643 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  3644 matching the current goal as introduction rule and not having "HOL."
  3645 in their name (i.e. not being defined in theory HOL).
  3646 
  3647 * Command 'thms_containing' has been discontinued in favour of
  3648 'find_theorems'; INCOMPATIBILITY.
  3649 
  3650 * Communication with Proof General is now 8bit clean, which means that
  3651 Unicode text in UTF-8 encoding may be used within theory texts (both
  3652 formal and informal parts).  Cf. option -U of the Isabelle Proof
  3653 General interface.  Here are some simple examples (cf. src/HOL/ex):
  3654 
  3655   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  3656   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  3657 
  3658 * Improved efficiency of the Simplifier and, to a lesser degree, the
  3659 Classical Reasoner.  Typical big applications run around 2 times
  3660 faster.
  3661 
  3662 
  3663 *** Document preparation ***
  3664 
  3665 * Commands 'display_drafts' and 'print_drafts' perform simple output
  3666 of raw sources.  Only those symbols that do not require additional
  3667 LaTeX packages (depending on comments in isabellesym.sty) are
  3668 displayed properly, everything else is left verbatim.  isatool display
  3669 and isatool print are used as front ends (these are subject to the
  3670 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  3671 
  3672 * Command tags control specific markup of certain regions of text,
  3673 notably folding and hiding.  Predefined tags include "theory" (for
  3674 theory begin and end), "proof" for proof commands, and "ML" for
  3675 commands involving ML code; the additional tags "visible" and
  3676 "invisible" are unused by default.  Users may give explicit tag
  3677 specifications in the text, e.g. ''by %invisible (auto)''.  The
  3678 interpretation of tags is determined by the LaTeX job during document
  3679 preparation: see option -V of isatool usedir, or options -n and -t of
  3680 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  3681 \isadroptag.
  3682 
  3683 Several document versions may be produced at the same time via isatool
  3684 usedir (the generated index.html will link all of them).  Typical
  3685 specifications include ''-V document=theory,proof,ML'' to present
  3686 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  3687 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  3688 these parts without any formal replacement text.  The Isabelle site
  3689 default settings produce ''document'' and ''outline'' versions as
  3690 specified above.
  3691 
  3692 * Several new antiquotations:
  3693 
  3694   @{term_type term} prints a term with its type annotated;
  3695 
  3696   @{typeof term} prints the type of a term;
  3697 
  3698   @{const const} is the same as @{term const}, but checks that the
  3699   argument is a known logical constant;
  3700 
  3701   @{term_style style term} and @{thm_style style thm} print a term or
  3702   theorem applying a "style" to it
  3703 
  3704   @{ML text}
  3705 
  3706 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  3707 definitions, equations, inequations etc., 'concl' printing only the
  3708 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  3709 to print the specified premise.  TermStyle.add_style provides an ML
  3710 interface for introducing further styles.  See also the "LaTeX Sugar"
  3711 document practical applications.  The ML antiquotation prints
  3712 type-checked ML expressions verbatim.
  3713 
  3714 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  3715 and 'text' support optional locale specification '(in loc)', which
  3716 specifies the default context for interpreting antiquotations.  For
  3717 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  3718 
  3719 * Option 'locale=NAME' of antiquotations specifies an alternative
  3720 context interpreting the subsequent argument.  For example: @{thm
  3721 [locale=lattice] inf_assoc}.
  3722 
  3723 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  3724 a proof context.
  3725 
  3726 * Proper output of antiquotations for theory commands involving a
  3727 proof context (such as 'locale' or 'theorem (in loc) ...').
  3728 
  3729 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  3730 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  3731 
  3732 * isatool usedir: new option -C (default true) controls whether option
  3733 -D should include a copy of the original document directory; -C false
  3734 prevents unwanted effects such as copying of administrative CVS data.
  3735 
  3736 
  3737 *** Pure ***
  3738 
  3739 * Considerably improved version of 'constdefs' command.  Now performs
  3740 automatic type-inference of declared constants; additional support for
  3741 local structure declarations (cf. locales and HOL records), see also
  3742 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  3743 sequential dependencies of definitions within a single 'constdefs'
  3744 section; moreover, the declared name needs to be an identifier.  If
  3745 all fails, consider to fall back on 'consts' and 'defs' separately.
  3746 
  3747 * Improved indexed syntax and implicit structures.  First of all,
  3748 indexed syntax provides a notational device for subscripted
  3749 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  3750 expressions.  Secondly, in a local context with structure
  3751 declarations, number indexes \<^sub>n or the empty index (default
  3752 number 1) refer to a certain fixed variable implicitly; option
  3753 show_structs controls printing of implicit structures.  Typical
  3754 applications of these concepts involve record types and locales.
  3755 
  3756 * New command 'no_syntax' removes grammar declarations (and
  3757 translations) resulting from the given syntax specification, which is
  3758 interpreted in the same manner as for the 'syntax' command.
  3759 
  3760 * 'Advanced' translation functions (parse_translation etc.) may depend
  3761 on the signature of the theory context being presently used for
  3762 parsing/printing, see also isar-ref manual.
  3763 
  3764 * Improved 'oracle' command provides a type-safe interface to turn an
  3765 ML expression of type theory -> T -> term into a primitive rule of
  3766 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  3767 is already included here); see also FOL/ex/IffExample.thy;
  3768 INCOMPATIBILITY.
  3769 
  3770 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  3771 before); "cI" is no longer bound, use "c.intro" instead.
  3772 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  3773 axclasses vs. locales.
  3774 
  3775 * Improved internal renaming of symbolic identifiers -- attach primes
  3776 instead of base 26 numbers.
  3777 
  3778 * New flag show_question_marks controls printing of leading question
  3779 marks in schematic variable names.
  3780 
  3781 * In schematic variable names, *any* symbol following \<^isub> or
  3782 \<^isup> is now treated as part of the base name.  For example, the
  3783 following works without printing of awkward ".0" indexes:
  3784 
  3785   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  3786     by simp
  3787 
  3788 * Inner syntax includes (*(*nested*) comments*).
  3789 
  3790 * Pretty printer now supports unbreakable blocks, specified in mixfix
  3791 annotations as "(00...)".
  3792 
  3793 * Clear separation of logical types and nonterminals, where the latter
  3794 may only occur in 'syntax' specifications or type abbreviations.
  3795 Before that distinction was only partially implemented via type class
  3796 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  3797 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  3798 exotic syntax specifications may require further adaption
  3799 (e.g. Cube/Cube.thy).
  3800 
  3801 * Removed obsolete type class "logic", use the top sort {} instead.
  3802 Note that non-logical types should be declared as 'nonterminals'
  3803 rather than 'types'.  INCOMPATIBILITY for new object-logic
  3804 specifications.
  3805 
  3806 * Attributes 'induct' and 'cases': type or set names may now be
  3807 locally fixed variables as well.
  3808 
  3809 * Simplifier: can now control the depth to which conditional rewriting
  3810 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  3811 Limit.
  3812 
  3813 * Simplifier: simplification procedures may now take the current
  3814 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  3815 interface), which is very useful for calling the Simplifier
  3816 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  3817 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  3818 low-level mk_simproc no longer applies Logic.varify internally, to
  3819 allow for use in a context of fixed variables.
  3820 
  3821 * thin_tac now works even if the assumption being deleted contains !!
  3822 or ==>.  More generally, erule now works even if the major premise of
  3823 the elimination rule contains !! or ==>.
  3824 
  3825 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  3826 
  3827 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  3828 from Pure, which contains all common declarations already.  Both
  3829 theories are defined via plain Isabelle/Isar .thy files.
  3830 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  3831 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  3832 use isatool fixcpure to adapt your theory and ML sources.
  3833 
  3834 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  3835 selections of theorems in named facts via index ranges.
  3836 
  3837 * 'print_theorems': in theory mode, really print the difference
  3838 wrt. the last state (works for interactive theory development only),
  3839 in proof mode print all local facts (cf. 'print_facts');
  3840 
  3841 * 'hide': option '(open)' hides only base names.
  3842 
  3843 * More efficient treatment of intermediate checkpoints in interactive
  3844 theory development.
  3845 
  3846 * Code generator is now invoked via code_module (incremental code
  3847 generation) and code_library (modular code generation, ML structures
  3848 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  3849 must be quoted when used as identifiers.
  3850 
  3851 * New 'value' command for reading, evaluating and printing terms using
  3852 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  3853 quoted when used as identifier.
  3854 
  3855 
  3856 *** Locales ***
  3857 
  3858 * New commands for the interpretation of locale expressions in
  3859 theories (1), locales (2) and proof contexts (3).  These generate
  3860 proof obligations from the expression specification.  After the
  3861 obligations have been discharged, theorems of the expression are added
  3862 to the theory, target locale or proof context.  The synopsis of the
  3863 commands is a follows:
  3864 
  3865   (1) interpretation expr inst
  3866   (2) interpretation target < expr
  3867   (3) interpret expr inst
  3868 
  3869 Interpretation in theories and proof contexts require a parameter
  3870 instantiation of terms from the current context.  This is applied to
  3871 specifications and theorems of the interpreted expression.
  3872 Interpretation in locales only permits parameter renaming through the
  3873 locale expression.  Interpretation is smart in that interpretations
  3874 that are active already do not occur in proof obligations, neither are
  3875 instantiated theorems stored in duplicate.  Use 'print_interps' to
  3876 inspect active interpretations of a particular locale.  For details,
  3877 see the Isar Reference manual.  Examples can be found in
  3878 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  3879 
  3880 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  3881 'interpret' instead.
  3882 
  3883 * New context element 'constrains' for adding type constraints to
  3884 parameters.
  3885 
  3886 * Context expressions: renaming of parameters with syntax
  3887 redeclaration.
  3888 
  3889 * Locale declaration: 'includes' disallowed.
  3890 
  3891 * Proper static binding of attribute syntax -- i.e. types / terms /
  3892 facts mentioned as arguments are always those of the locale definition
  3893 context, independently of the context of later invocations.  Moreover,
  3894 locale operations (renaming and type / term instantiation) are applied
  3895 to attribute arguments as expected.
  3896 
  3897 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  3898 actual attributes; rare situations may require Attrib.attribute to
  3899 embed those attributes into Attrib.src that lack concrete syntax.
  3900 Attribute implementations need to cooperate properly with the static
  3901 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  3902 Attrib.XXX_thm etc. already do the right thing without further
  3903 intervention.  Only unusual applications -- such as "where" or "of"
  3904 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  3905 on the context and the facts involved -- may have to assign parsed
  3906 values to argument tokens explicitly.
  3907 
  3908 * Changed parameter management in theorem generation for long goal
  3909 statements with 'includes'.  INCOMPATIBILITY: produces a different
  3910 theorem statement in rare situations.
  3911 
  3912 * Locale inspection command 'print_locale' omits notes elements.  Use
  3913 'print_locale!' to have them included in the output.
  3914 
  3915 
  3916 *** Provers ***
  3917 
  3918 * Provers/hypsubst.ML: improved version of the subst method, for
  3919 single-step rewriting: it now works in bound variable contexts. New is
  3920 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  3921 rewrite a different subterm than the original subst method, which is
  3922 still available as 'simplesubst'.
  3923 
  3924 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  3925 and quasi orders.
  3926 
  3927 * Provers/trancl.ML: new transitivity reasoner for transitive and
  3928 reflexive-transitive closure of relations.
  3929 
  3930 * Provers/blast.ML: new reference depth_limit to make blast's depth
  3931 limit (previously hard-coded with a value of 20) user-definable.
  3932 
  3933 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  3934 is peformed already.  Object-logics merely need to finish their
  3935 initial simpset configuration as before.  INCOMPATIBILITY.
  3936 
  3937 
  3938 *** HOL ***
  3939 
  3940 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  3941 
  3942   syntax (epsilon)
  3943     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  3944 
  3945 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  3946 and x-symbol; use option '-m epsilon' to get it actually printed.
  3947 Moreover, the mathematically important symbolic identifier \<epsilon>
  3948 becomes available as variable, constant etc.  INCOMPATIBILITY,
  3949 
  3950 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  3951 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  3952 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  3953 support corresponding Isar calculations.
  3954 
  3955 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  3956 instead of ":".
  3957 
  3958 * theory SetInterval: changed the syntax for open intervals:
  3959 
  3960   Old       New
  3961   {..n(}    {..<n}
  3962   {)n..}    {n<..}
  3963   {m..n(}   {m..<n}
  3964   {)m..n}   {m<..n}
  3965   {)m..n(}  {m<..<n}
  3966 
  3967 The old syntax is still supported but will disappear in the next
  3968 release.  For conversion use the following Emacs search and replace
  3969 patterns (these are not perfect but work quite well):
  3970 
  3971   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  3972   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  3973 
  3974 * Theory Commutative_Ring (in Library): method comm_ring for proving
  3975 equalities in commutative rings; method 'algebra' provides a generic
  3976 interface.
  3977 
  3978 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  3979 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  3980 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  3981 be a tuple pattern.
  3982 
  3983 Some new syntax forms are available:
  3984 
  3985   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  3986   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  3987   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  3988   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  3989 
  3990 The latter form "\<Sum>x < k. e" used to be based on a separate
  3991 function "Summation", which has been discontinued.
  3992 
  3993 * theory Finite_Set: in structured induction proofs, the insert case
  3994 is now 'case (insert x F)' instead of the old counterintuitive 'case
  3995 (insert F x)'.
  3996 
  3997 * The 'refute' command has been extended to support a much larger
  3998 fragment of HOL, including axiomatic type classes, constdefs and
  3999 typedefs, inductive datatypes and recursion.
  4000 
  4001 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  4002 Requires zChaff with proof generation to be installed.  See
  4003 HOL/ex/SAT_Examples.thy for examples.
  4004 
  4005 * Datatype induction via method 'induct' now preserves the name of the
  4006 induction variable. For example, when proving P(xs::'a list) by
  4007 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  4008 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  4009 in unstructured proof scripts.
  4010 
  4011 * Reworked implementation of records.  Improved scalability for
  4012 records with many fields, avoiding performance problems for type
  4013 inference. Records are no longer composed of nested field types, but
  4014 of nested extension types. Therefore the record type only grows linear
  4015 in the number of extensions and not in the number of fields.  The
  4016 top-level (users) view on records is preserved.  Potential
  4017 INCOMPATIBILITY only in strange cases, where the theory depends on the
  4018 old record representation. The type generated for a record is called
  4019 <record_name>_ext_type.
  4020 
  4021 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  4022 proofs triggered by a record definition or a simproc (if
  4023 quick_and_dirty is enabled).  Definitions of large records can take
  4024 quite long.
  4025 
  4026 New simproc record_upd_simproc for simplification of multiple record
  4027 updates enabled by default.  Moreover, trivial updates are also
  4028 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  4029 occasionally, since simplification is more powerful by default.
  4030 
  4031 * typedef: proper support for polymorphic sets, which contain extra
  4032 type-variables in the term.
  4033 
  4034 * Simplifier: automatically reasons about transitivity chains
  4035 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  4036 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  4037 old proofs break occasionally as simplification may now solve more
  4038 goals than previously.
  4039 
  4040 * Simplifier: converts x <= y into x = y if assumption y <= x is
  4041 present.  Works for all partial orders (class "order"), in particular
  4042 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  4043 just like y <= x.
  4044 
  4045 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  4046 bound variable or a constant then the let is unfolded.  Otherwise
  4047 first a is simplified to b, and then f b is simplified to g. If
  4048 possible we abstract b from g arriving at "let x = b in h x",
  4049 otherwise we unfold the let and arrive at g.  The simproc can be
  4050 enabled/disabled by the reference use_let_simproc.  Potential
  4051 INCOMPATIBILITY since simplification is more powerful by default.
  4052 
  4053 * Classical reasoning: the meson method now accepts theorems as arguments.
  4054 
  4055 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  4056 jobs to provide advice on the provability of subgoals.
  4057 
  4058 * Theory OrderedGroup and Ring_and_Field: various additions and
  4059 improvements to faciliate calculations involving equalities and
  4060 inequalities.
  4061 
  4062 The following theorems have been eliminated or modified
  4063 (INCOMPATIBILITY):
  4064 
  4065   abs_eq             now named abs_of_nonneg
  4066   abs_of_ge_0        now named abs_of_nonneg
  4067   abs_minus_eq       now named abs_of_nonpos
  4068   imp_abs_id         now named abs_of_nonneg
  4069   imp_abs_neg_id     now named abs_of_nonpos
  4070   mult_pos           now named mult_pos_pos
  4071   mult_pos_le        now named mult_nonneg_nonneg
  4072   mult_pos_neg_le    now named mult_nonneg_nonpos
  4073   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  4074   mult_neg           now named mult_neg_neg
  4075   mult_neg_le        now named mult_nonpos_nonpos
  4076 
  4077 * The following lemmas in Ring_and_Field have been added to the simplifier:
  4078      
  4079      zero_le_square
  4080      not_square_less_zero 
  4081 
  4082   The following lemmas have been deleted from Real/RealPow:
  4083   
  4084      realpow_zero_zero
  4085      realpow_two
  4086      realpow_less
  4087      zero_le_power
  4088      realpow_two_le
  4089      abs_realpow_two
  4090      realpow_two_abs     
  4091 
  4092 * Theory Parity: added rules for simplifying exponents.
  4093 
  4094 * Theory List:
  4095 
  4096 The following theorems have been eliminated or modified
  4097 (INCOMPATIBILITY):
  4098 
  4099   list_all_Nil       now named list_all.simps(1)
  4100   list_all_Cons      now named list_all.simps(2)
  4101   list_all_conv      now named list_all_iff
  4102   set_mem_eq         now named mem_iff
  4103 
  4104 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  4105 asymptotic "big O" calculations.  See the notes in BigO.thy.
  4106 
  4107 
  4108 *** HOL-Complex ***
  4109 
  4110 * Theory RealDef: better support for embedding natural numbers and
  4111 integers in the reals.
  4112 
  4113 The following theorems have been eliminated or modified
  4114 (INCOMPATIBILITY):
  4115 
  4116   exp_ge_add_one_self  now requires no hypotheses
  4117   real_of_int_add      reversed direction of equality (use [symmetric])
  4118   real_of_int_minus    reversed direction of equality (use [symmetric])
  4119   real_of_int_diff     reversed direction of equality (use [symmetric])
  4120   real_of_int_mult     reversed direction of equality (use [symmetric])
  4121 
  4122 * Theory RComplete: expanded support for floor and ceiling functions.
  4123 
  4124 * Theory Ln is new, with properties of the natural logarithm
  4125 
  4126 * Hyperreal: There is a new type constructor "star" for making
  4127 nonstandard types.  The old type names are now type synonyms:
  4128 
  4129   hypreal = real star
  4130   hypnat = nat star
  4131   hcomplex = complex star
  4132 
  4133 * Hyperreal: Many groups of similarly-defined constants have been
  4134 replaced by polymorphic versions (INCOMPATIBILITY):
  4135 
  4136   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  4137 
  4138   starset      <-- starsetNat, starsetC
  4139   *s*          <-- *sNat*, *sc*
  4140   starset_n    <-- starsetNat_n, starsetC_n
  4141   *sn*         <-- *sNatn*, *scn*
  4142   InternalSets <-- InternalNatSets, InternalCSets
  4143 
  4144   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  4145   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  4146   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  4147   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  4148   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  4149 
  4150 * Hyperreal: Many type-specific theorems have been removed in favor of
  4151 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  4152 
  4153   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  4154   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  4155   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  4156   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  4157   right_minus <-- hypreal_add_minus
  4158   left_minus <-- {hypreal,hcomplex}_add_minus_left
  4159   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  4160   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  4161   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  4162   mult_1_right <-- hcomplex_mult_one_right
  4163   mult_zero_left <-- hcomplex_mult_zero_left
  4164   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  4165   right_distrib <-- hypnat_add_mult_distrib2
  4166   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  4167   right_inverse <-- hypreal_mult_inverse
  4168   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  4169   order_refl <-- {hypreal,hypnat}_le_refl
  4170   order_trans <-- {hypreal,hypnat}_le_trans
  4171   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  4172   order_less_le <-- {hypreal,hypnat}_less_le
  4173   linorder_linear <-- {hypreal,hypnat}_le_linear
  4174   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  4175   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  4176   add_nonneg_nonneg <-- hypreal_le_add_order
  4177 
  4178 * Hyperreal: Separate theorems having to do with type-specific
  4179 versions of constants have been merged into theorems that apply to the
  4180 new polymorphic constants (INCOMPATIBILITY):
  4181 
  4182   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  4183   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  4184   STAR_Un <-- {STAR,NatStar,STARC}_Un
  4185   STAR_Int <-- {STAR,NatStar,STARC}_Int
  4186   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  4187   STAR_subset <-- {STAR,NatStar,STARC}_subset
  4188   STAR_mem <-- {STAR,NatStar,STARC}_mem
  4189   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  4190   STAR_diff <-- {STAR,STARC}_diff
  4191   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  4192     STARC_hcomplex_of_complex}_image_subset
  4193   starset_n_Un <-- starset{Nat,C}_n_Un
  4194   starset_n_Int <-- starset{Nat,C}_n_Int
  4195   starset_n_Compl <-- starset{Nat,C}_n_Compl
  4196   starset_n_diff <-- starset{Nat,C}_n_diff
  4197   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  4198   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  4199   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  4200   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  4201   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  4202   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  4203   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  4204   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  4205   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  4206   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  4207   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  4208   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  4209   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  4210   starfun_diff <-- starfun{C,RC,CR}_diff
  4211   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  4212   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  4213   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  4214   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  4215   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  4216   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  4217   starfun_Id <-- starfunC_Id
  4218   starfun_approx <-- starfun{Nat,CR}_approx
  4219   starfun_capprox <-- starfun{C,RC}_capprox
  4220   starfun_abs <-- starfunNat_rabs
  4221   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  4222   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  4223   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  4224   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  4225   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  4226   starfun_add_approx <-- starfunCR_add_approx
  4227   starfun_inverse_inverse <-- starfunC_inverse_inverse
  4228   starfun_divide <-- starfun{C,CR,RC}_divide
  4229   starfun_n <-- starfun{Nat,C}_n
  4230   starfun_n_mult <-- starfun{Nat,C}_n_mult
  4231   starfun_n_add <-- starfun{Nat,C}_n_add
  4232   starfun_n_add_minus <-- starfunNat_n_add_minus
  4233   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4234   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4235   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4236 
  4237   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4238   star_n_minus <-- {hypreal,hcomplex}_minus
  4239   star_n_diff <-- {hypreal,hcomplex}_diff
  4240   star_n_mult <-- {hypreal,hcomplex}_mult
  4241   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4242   star_n_le <-- {hypreal,hypnat}_le
  4243   star_n_less <-- {hypreal,hypnat}_less
  4244   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4245   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4246   star_n_abs <-- hypreal_hrabs
  4247   star_n_divide <-- hcomplex_divide
  4248 
  4249   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4250   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4251   star_of_diff <-- hypreal_of_real_diff
  4252   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4253   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4254   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4255   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4256   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4257   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4258   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4259   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4260   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4261   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4262   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4263   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4264   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4265   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4266   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4267   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4268   star_of_power <-- hypreal_of_real_power
  4269   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4270 
  4271 * Hyperreal: new method "transfer" that implements the transfer
  4272 principle of nonstandard analysis. With a subgoal that mentions
  4273 nonstandard types like "'a star", the command "apply transfer"
  4274 replaces it with an equivalent one that mentions only standard types.
  4275 To be successful, all free variables must have standard types; non-
  4276 standard variables must have explicit universal quantifiers.
  4277 
  4278 * Hyperreal: A theory of Taylor series.
  4279 
  4280 
  4281 *** HOLCF ***
  4282 
  4283 * Discontinued special version of 'constdefs' (which used to support
  4284 continuous functions) in favor of the general Pure one with full
  4285 type-inference.
  4286 
  4287 * New simplification procedure for solving continuity conditions; it
  4288 is much faster on terms with many nested lambda abstractions (cubic
  4289 instead of exponential time).
  4290 
  4291 * New syntax for domain package: selector names are now optional.
  4292 Parentheses should be omitted unless argument is lazy, for example:
  4293 
  4294   domain 'a stream = cons "'a" (lazy "'a stream")
  4295 
  4296 * New command 'fixrec' for defining recursive functions with pattern
  4297 matching; defining multiple functions with mutual recursion is also
  4298 supported.  Patterns may include the constants cpair, spair, up, sinl,
  4299 sinr, or any data constructor defined by the domain package. The given
  4300 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  4301 syntax and examples.
  4302 
  4303 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  4304 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  4305 but the proof obligation additionally includes an admissibility
  4306 requirement. The packages generate instances of class cpo or pcpo,
  4307 with continuity and strictness theorems for Rep and Abs.
  4308 
  4309 * HOLCF: Many theorems have been renamed according to a more standard naming
  4310 scheme (INCOMPATIBILITY):
  4311 
  4312   foo_inject:  "foo$x = foo$y ==> x = y"
  4313   foo_eq:      "(foo$x = foo$y) = (x = y)"
  4314   foo_less:    "(foo$x << foo$y) = (x << y)"
  4315   foo_strict:  "foo$UU = UU"
  4316   foo_defined: "... ==> foo$x ~= UU"
  4317   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  4318 
  4319 
  4320 *** ZF ***
  4321 
  4322 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  4323 including the First Isomorphism Theorem (on quotienting by the kernel
  4324 of a homomorphism).
  4325 
  4326 * ZF/Simplifier: install second copy of type solver that actually
  4327 makes use of TC rules declared to Isar proof contexts (or locales);
  4328 the old version is still required for ML proof scripts.
  4329 
  4330 
  4331 *** Cube ***
  4332 
  4333 * Converted to Isar theory format; use locales instead of axiomatic
  4334 theories.
  4335 
  4336 
  4337 *** ML ***
  4338 
  4339 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  4340 for ||>, ||>>, |>>,
  4341 
  4342 * Pure/library.ML no longer defines its own option datatype, but uses
  4343 that of the SML basis, which has constructors NONE and SOME instead of
  4344 None and Some, as well as exception Option.Option instead of OPTION.
  4345 The functions the, if_none, is_some, is_none have been adapted
  4346 accordingly, while Option.map replaces apsome.
  4347 
  4348 * Pure/library.ML: the exception LIST has been given up in favour of
  4349 the standard exceptions Empty and Subscript, as well as
  4350 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  4351 superceded by the standard hd and tl functions etc.
  4352 
  4353 A number of basic list functions are no longer exported to the ML
  4354 toplevel, as they are variants of predefined functions.  The following
  4355 suggests how one can translate existing code:
  4356 
  4357     rev_append xs ys = List.revAppend (xs, ys)
  4358     nth_elem (i, xs) = List.nth (xs, i)
  4359     last_elem xs = List.last xs
  4360     flat xss = List.concat xss
  4361     seq fs = List.app fs
  4362     partition P xs = List.partition P xs
  4363     mapfilter f xs = List.mapPartial f xs
  4364 
  4365 * Pure/library.ML: several combinators for linear functional
  4366 transformations, notably reverse application and composition:
  4367 
  4368   x |> f                f #> g
  4369   (x, y) |-> f          f #-> g
  4370 
  4371 * Pure/library.ML: introduced/changed precedence of infix operators:
  4372 
  4373   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  4374   infix 2 ?;
  4375   infix 3 o oo ooo oooo;
  4376   infix 4 ~~ upto downto;
  4377 
  4378 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  4379 infix operators.
  4380 
  4381 * Pure/library.ML: natural list combinators fold, fold_rev, and
  4382 fold_map support linear functional transformations and nesting.  For
  4383 example:
  4384 
  4385   fold f [x1, ..., xN] y =
  4386     y |> f x1 |> ... |> f xN
  4387 
  4388   (fold o fold) f [xs1, ..., xsN] y =
  4389     y |> fold f xs1 |> ... |> fold f xsN
  4390 
  4391   fold f [x1, ..., xN] =
  4392     f x1 #> ... #> f xN
  4393 
  4394   (fold o fold) f [xs1, ..., xsN] =
  4395     fold f xs1 #> ... #> fold f xsN
  4396 
  4397 * Pure/library.ML: the following selectors on type 'a option are
  4398 available:
  4399 
  4400   the:               'a option -> 'a  (*partial*)
  4401   these:             'a option -> 'a  where 'a = 'b list
  4402   the_default: 'a -> 'a option -> 'a
  4403   the_list:          'a option -> 'a list
  4404 
  4405 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4406 basic operations for association lists, following natural argument
  4407 order; moreover the explicit equality predicate passed here avoids
  4408 potentially expensive polymorphic runtime equality checks.
  4409 The old functions may be expressed as follows:
  4410 
  4411   assoc = uncurry (AList.lookup (op =))
  4412   assocs = these oo AList.lookup (op =)
  4413   overwrite = uncurry (AList.update (op =)) o swap
  4414 
  4415 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4416 
  4417   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  4418   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  4419 
  4420 replacing make_keylist and keyfilter (occassionally used)
  4421 Naive rewrites:
  4422 
  4423   make_keylist = AList.make
  4424   keyfilter = AList.find (op =)
  4425 
  4426 * eq_fst and eq_snd now take explicit equality parameter, thus
  4427   avoiding eqtypes. Naive rewrites:
  4428 
  4429     eq_fst = eq_fst (op =)
  4430     eq_snd = eq_snd (op =)
  4431 
  4432 * Removed deprecated apl and apr (rarely used).
  4433   Naive rewrites:
  4434 
  4435     apl (n, op) =>>= curry op n
  4436     apr (op, m) =>>= fn n => op (n, m)
  4437 
  4438 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  4439 provides a reasonably efficient light-weight implementation of sets as
  4440 lists.
  4441 
  4442 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  4443 few new operations; existing lookup and update are now curried to
  4444 follow natural argument order (for use with fold etc.);
  4445 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  4446 
  4447 * Pure/General: output via the Isabelle channels of
  4448 writeln/warning/error etc. is now passed through Output.output, with a
  4449 hook for arbitrary transformations depending on the print_mode
  4450 (cf. Output.add_mode -- the first active mode that provides a output
  4451 function wins).  Already formatted output may be embedded into further
  4452 text via Output.raw; the result of Pretty.string_of/str_of and derived
  4453 functions (string_of_term/cterm/thm etc.) is already marked raw to
  4454 accommodate easy composition of diagnostic messages etc.  Programmers
  4455 rarely need to care about Output.output or Output.raw at all, with
  4456 some notable exceptions: Output.output is required when bypassing the
  4457 standard channels (writeln etc.), or in token translations to produce
  4458 properly formatted results; Output.raw is required when capturing
  4459 already output material that will eventually be presented to the user
  4460 a second time.  For the default print mode, both Output.output and
  4461 Output.raw have no effect.
  4462 
  4463 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  4464 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  4465 cumulative results are displayed at the end of a batch session.
  4466 
  4467 * Pure/General: File.sysify_path and File.quote_sysify path have been
  4468 replaced by File.platform_path and File.shell_path (with appropriate
  4469 hooks).  This provides a clean interface for unusual systems where the
  4470 internal and external process view of file names are different.
  4471 
  4472 * Pure: more efficient orders for basic syntactic entities: added
  4473 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  4474 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  4475 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  4476 orders now -- potential INCOMPATIBILITY for code that depends on a
  4477 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  4478 Library.sort_strings on result).
  4479 
  4480 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  4481 fold_types traverse types/terms from left to right, observing natural
  4482 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  4483 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  4484 
  4485 * Pure: name spaces have been refined, with significant changes of the
  4486 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  4487 to extern(_table).  The plain name entry path is superceded by a
  4488 general 'naming' context, which also includes the 'policy' to produce
  4489 a fully qualified name and external accesses of a fully qualified
  4490 name; NameSpace.extend is superceded by context dependent
  4491 Sign.declare_name.  Several theory and proof context operations modify
  4492 the naming context.  Especially note Theory.restore_naming and
  4493 ProofContext.restore_naming to get back to a sane state; note that
  4494 Theory.add_path is no longer sufficient to recover from
  4495 Theory.absolute_path in particular.
  4496 
  4497 * Pure: new flags short_names (default false) and unique_names
  4498 (default true) for controlling output of qualified names.  If
  4499 short_names is set, names are printed unqualified.  If unique_names is
  4500 reset, the name prefix is reduced to the minimum required to achieve
  4501 the original result when interning again, even if there is an overlap
  4502 with earlier declarations.
  4503 
  4504 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  4505 now 'extend', and 'merge' gets an additional Pretty.pp argument
  4506 (useful for printing error messages).  INCOMPATIBILITY.
  4507 
  4508 * Pure: major reorganization of the theory context.  Type Sign.sg and
  4509 Theory.theory are now identified, referring to the universal
  4510 Context.theory (see Pure/context.ML).  Actual signature and theory
  4511 content is managed as theory data.  The old code and interfaces were
  4512 spread over many files and structures; the new arrangement introduces
  4513 considerable INCOMPATIBILITY to gain more clarity:
  4514 
  4515   Context -- theory management operations (name, identity, inclusion,
  4516     parents, ancestors, merge, etc.), plus generic theory data;
  4517 
  4518   Sign -- logical signature and syntax operations (declaring consts,
  4519     types, etc.), plus certify/read for common entities;
  4520 
  4521   Theory -- logical theory operations (stating axioms, definitions,
  4522     oracles), plus a copy of logical signature operations (consts,
  4523     types, etc.); also a few basic management operations (Theory.copy,
  4524     Theory.merge, etc.)
  4525 
  4526 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  4527 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  4528 for convenience -- they merely return the theory.
  4529 
  4530 * Pure: type Type.tsig is superceded by theory in most interfaces.
  4531 
  4532 * Pure: the Isar proof context type is already defined early in Pure
  4533 as Context.proof (note that ProofContext.context and Proof.context are
  4534 aliases, where the latter is the preferred name).  This enables other
  4535 Isabelle components to refer to that type even before Isar is present.
  4536 
  4537 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  4538 typeK, constK, axiomK, oracleK), but provide explicit operations for
  4539 any of these kinds.  For example, Sign.intern typeK is now
  4540 Sign.intern_type, Theory.hide_space Sign.typeK is now
  4541 Theory.hide_types.  Also note that former
  4542 Theory.hide_classes/types/consts are now
  4543 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  4544 internalize their arguments!  INCOMPATIBILITY.
  4545 
  4546 * Pure: get_thm interface (of PureThy and ProofContext) expects
  4547 datatype thmref (with constructors Name and NameSelection) instead of
  4548 plain string -- INCOMPATIBILITY;
  4549 
  4550 * Pure: cases produced by proof methods specify options, where NONE
  4551 means to remove case bindings -- INCOMPATIBILITY in
  4552 (RAW_)METHOD_CASES.
  4553 
  4554 * Pure: the following operations retrieve axioms or theorems from a
  4555 theory node or theory hierarchy, respectively:
  4556 
  4557   Theory.axioms_of: theory -> (string * term) list
  4558   Theory.all_axioms_of: theory -> (string * term) list
  4559   PureThy.thms_of: theory -> (string * thm) list
  4560   PureThy.all_thms_of: theory -> (string * thm) list
  4561 
  4562 * Pure: print_tac now outputs the goal through the trace channel.
  4563 
  4564 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  4565 Reference Toplevel.debug (default false) controls detailed printing
  4566 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  4567 controls execution profiling -- set to 1 for time and 2 for space
  4568 (both increase the runtime).
  4569 
  4570 * Isar session: The initial use of ROOT.ML is now always timed,
  4571 i.e. the log will show the actual process times, in contrast to the
  4572 elapsed wall-clock time that the outer shell wrapper produces.
  4573 
  4574 * Simplifier: improved handling of bound variables (nameless
  4575 representation, avoid allocating new strings).  Simprocs that invoke
  4576 the Simplifier recursively should use Simplifier.inherit_bounds to
  4577 avoid local name clashes.  Failure to do so produces warnings
  4578 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  4579 for further details.
  4580 
  4581 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  4582 bindings for all theorems stored within a given theory; this may help
  4583 in porting non-Isar theories to Isar ones, while keeping ML proof
  4584 scripts for the time being.
  4585 
  4586 * ML operator HTML.with_charset specifies the charset begin used for
  4587 generated HTML files.  For example:
  4588 
  4589   HTML.with_charset "utf-8" use_thy "Hebrew";
  4590   HTML.with_charset "utf-8" use_thy "Chinese";
  4591 
  4592 
  4593 *** System ***
  4594 
  4595 * Allow symlinks to all proper Isabelle executables (Isabelle,
  4596 isabelle, isatool etc.).
  4597 
  4598 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  4599 isatool doc, isatool mkdir, display_drafts etc.).
  4600 
  4601 * isatool usedir: option -f allows specification of the ML file to be
  4602 used by Isabelle; default is ROOT.ML.
  4603 
  4604 * New isatool version outputs the version identifier of the Isabelle
  4605 distribution being used.
  4606 
  4607 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  4608 (containing Boolean satisfiability problems) into Isabelle/HOL
  4609 theories.
  4610 
  4611 
  4612 
  4613 New in Isabelle2004 (April 2004)
  4614 --------------------------------
  4615 
  4616 *** General ***
  4617 
  4618 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  4619   Replaces linorder.ML.
  4620 
  4621 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  4622   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  4623   (\<a>...\<z>), are now considered normal letters, and can therefore
  4624   be used anywhere where an ASCII letter (a...zA...Z) has until
  4625   now. COMPATIBILITY: This obviously changes the parsing of some
  4626   terms, especially where a symbol has been used as a binder, say
  4627   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  4628   as an identifier.  Fix it by inserting a space around former
  4629   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  4630   existing theory and ML files.
  4631 
  4632 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  4633 
  4634 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  4635   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  4636   a normal (but invisible) letter. For multiple letter subscripts repeat
  4637   \<^isub> like this: x\<^isub>1\<^isub>2.
  4638 
  4639 * Pure: There are now sub-/superscripts that can span more than one
  4640   character. Text between \<^bsub> and \<^esub> is set in subscript in
  4641   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  4642   superscript. The new control characters are not identifier parts.
  4643 
  4644 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  4645   content of "..." to the latex file instead of \isacntrl... . The "..."
  4646   may consist of any printable characters excluding the end bracket >.
  4647 
  4648 * Pure: Using new Isar command "finalconsts" (or the ML functions
  4649   Theory.add_finals or Theory.add_finals_i) it is now possible to
  4650   declare constants "final", which prevents their being given a definition
  4651   later.  It is useful for constants whose behaviour is fixed axiomatically
  4652   rather than definitionally, such as the meta-logic connectives.
  4653 
  4654 * Pure: 'instance' now handles general arities with general sorts
  4655   (i.e. intersections of classes),
  4656 
  4657 * Presentation: generated HTML now uses a CSS style sheet to make layout
  4658   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  4659   It can be changed to alter the colors/layout of generated pages.
  4660 
  4661 
  4662 *** Isar ***
  4663 
  4664 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  4665   cut_tac, subgoal_tac and thin_tac:
  4666   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  4667     locales are no longer forced to write Isar proof scripts.
  4668     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  4669     emulations.
  4670   - INCOMPATIBILITY: names of variables to be instantiated may no
  4671     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  4672     This is consistent with the instantiation attribute "where".
  4673 
  4674 * Attributes "where" and "of":
  4675   - Now take type variables of instantiated theorem into account when reading
  4676     the instantiation string.  This fixes a bug that caused instantiated
  4677     theorems to have too special types in some circumstances.
  4678   - "where" permits explicit instantiations of type variables.
  4679 
  4680 * Calculation commands "moreover" and "also" no longer interfere with
  4681   current facts ("this"), admitting arbitrary combinations with "then"
  4682   and derived forms.
  4683 
  4684 * Locales:
  4685   - Goal statements involving the context element "includes" no longer
  4686     generate theorems with internal delta predicates (those ending on
  4687     "_axioms") in the premise.
  4688     Resolve particular premise with <locale>.intro to obtain old form.
  4689   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  4690     specification and "includes" elements in goal statement.
  4691   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  4692     [intro?] and [elim?] (respectively) by default.
  4693   - Experimental command for instantiation of locales in proof contexts:
  4694         instantiate <label>[<attrs>]: <loc>
  4695     Instantiates locale <loc> and adds all its theorems to the current context
  4696     taking into account their attributes.  Label and attrs are optional
  4697     modifiers, like in theorem declarations.  If present, names of
  4698     instantiated theorems are qualified with <label>, and the attributes
  4699     <attrs> are applied after any attributes these theorems might have already.
  4700       If the locale has assumptions, a chained fact of the form
  4701     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  4702     are derived.  The command does not support old-style locales declared
  4703     with "locale (open)".
  4704       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  4705 
  4706 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  4707   (Isar) contexts.
  4708 
  4709 
  4710 *** HOL ***
  4711 
  4712 * Proof import: new image HOL4 contains the imported library from
  4713   the HOL4 system with about 2500 theorems. It is imported by
  4714   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  4715   can be used like any other Isabelle image.  See
  4716   HOL/Import/HOL/README for more information.
  4717 
  4718 * Simplifier:
  4719   - Much improved handling of linear and partial orders.
  4720     Reasoners for linear and partial orders are set up for type classes
  4721     "linorder" and "order" respectively, and are added to the default simpset
  4722     as solvers.  This means that the simplifier can build transitivity chains
  4723     to solve goals from the assumptions.
  4724   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  4725     of blast or auto after simplification become unnecessary because the goal
  4726     is solved by simplification already.
  4727 
  4728 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  4729     all proved in axiomatic type classes for semirings, rings and fields.
  4730 
  4731 * Numerics:
  4732   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  4733     now formalized using the Ring_and_Field theory mentioned above.
  4734   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  4735     than before, because now they are set up once in a generic manner.
  4736   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  4737     Look for the general versions in Ring_and_Field (and Power if they concern
  4738     exponentiation).
  4739 
  4740 * Type "rat" of the rational numbers is now available in HOL-Complex.
  4741 
  4742 * Records:
  4743   - Record types are now by default printed with their type abbreviation
  4744     instead of the list of all field types. This can be configured via
  4745     the reference "print_record_type_abbr".
  4746   - Simproc "record_upd_simproc" for simplification of multiple updates added
  4747     (not enabled by default).
  4748   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  4749     EX x. x = sel r to True (not enabled by default).
  4750   - Tactic "record_split_simp_tac" to split and simplify records added.
  4751 
  4752 * 'specification' command added, allowing for definition by
  4753   specification.  There is also an 'ax_specification' command that
  4754   introduces the new constants axiomatically.
  4755 
  4756 * arith(_tac) is now able to generate counterexamples for reals as well.
  4757 
  4758 * HOL-Algebra: new locale "ring" for non-commutative rings.
  4759 
  4760 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  4761   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  4762 
  4763 * HOL-Matrix: a first theory for matrices in HOL with an application of
  4764   matrix theory to linear programming.
  4765 
  4766 * Unions and Intersections:
  4767   The latex output syntax of UN and INT has been changed
  4768   from "\Union x \in A. B" to "\Union_{x \in A} B"
  4769   i.e. the index formulae has become a subscript.
  4770   Similarly for "\Union x. B", and for \Inter instead of \Union.
  4771 
  4772 * Unions and Intersections over Intervals:
  4773   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  4774   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  4775   like in normal math, and corresponding versions for < and for intersection.
  4776 
  4777 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  4778   lexicographic dictonary ordering has been added as "lexord".
  4779 
  4780 * ML: the legacy theory structures Int and List have been removed. They had
  4781   conflicted with ML Basis Library structures having the same names.
  4782 
  4783 * 'refute' command added to search for (finite) countermodels.  Only works
  4784   for a fragment of HOL.  The installation of an external SAT solver is
  4785   highly recommended.  See "HOL/Refute.thy" for details.
  4786 
  4787 * 'quickcheck' command: Allows to find counterexamples by evaluating
  4788   formulae under an assignment of free variables to random values.
  4789   In contrast to 'refute', it can deal with inductive datatypes,
  4790   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  4791   for examples.
  4792 
  4793 
  4794 *** HOLCF ***
  4795 
  4796 * Streams now come with concatenation and are part of the HOLCF image
  4797 
  4798 
  4799 
  4800 New in Isabelle2003 (May 2003)
  4801 ------------------------------
  4802 
  4803 *** General ***
  4804 
  4805 * Provers/simplifier:
  4806 
  4807   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  4808     Assumptions are now subject to complete mutual simplification,
  4809     not just from left to right. The simplifier now preserves
  4810     the order of assumptions.
  4811 
  4812     Potential INCOMPATIBILITY:
  4813 
  4814     -- simp sometimes diverges where the old version did
  4815        not, e.g. invoking simp on the goal
  4816 
  4817         [| P (f x); y = x; f x = f y |] ==> Q
  4818 
  4819        now gives rise to the infinite reduction sequence
  4820 
  4821         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  4822 
  4823        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  4824        kind of problem.
  4825 
  4826     -- Tactics combining classical reasoner and simplification (such as auto)
  4827        are also affected by this change, because many of them rely on
  4828        simp. They may sometimes diverge as well or yield a different numbers
  4829        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  4830        in case of problems. Sometimes subsequent calls to the classical
  4831        reasoner will fail because a preceeding call to the simplifier too
  4832        eagerly simplified the goal, e.g. deleted redundant premises.
  4833 
  4834   - The simplifier trace now shows the names of the applied rewrite rules
  4835 
  4836   - You can limit the number of recursive invocations of the simplifier
  4837     during conditional rewriting (where the simplifie tries to solve the
  4838     conditions before applying the rewrite rule):
  4839     ML "simp_depth_limit := n"
  4840     where n is an integer. Thus you can force termination where previously
  4841     the simplifier would diverge.
  4842 
  4843   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  4844 
  4845   - No longer aborts on failed congruence proof.  Instead, the
  4846     congruence is ignored.
  4847 
  4848 * Pure: New generic framework for extracting programs from constructive
  4849   proofs. See HOL/Extraction.thy for an example instantiation, as well
  4850   as HOL/Extraction for some case studies.
  4851 
  4852 * Pure: The main goal of the proof state is no longer shown by default, only
  4853 the subgoals. This behaviour is controlled by a new flag.
  4854    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  4855 (ML: Proof.show_main_goal).
  4856 
  4857 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  4858 rules whose conclusion matches subgoal 1:
  4859       PG menu: Isabelle/Isar -> Show me -> matching rules
  4860 The rules are ordered by how closely they match the subgoal.
  4861 In particular, rules that solve a subgoal outright are displayed first
  4862 (or rather last, the way they are printed).
  4863 (ML: ProofGeneral.print_intros())
  4864 
  4865 * Pure: New flag trace_unify_fail causes unification to print
  4866 diagnostic information (PG: in trace buffer) when it fails. This is
  4867 useful for figuring out why single step proofs like rule, erule or
  4868 assumption failed.
  4869 
  4870 * Pure: Locale specifications now produce predicate definitions
  4871 according to the body of text (covering assumptions modulo local
  4872 definitions); predicate "loc_axioms" covers newly introduced text,
  4873 while "loc" is cumulative wrt. all included locale expressions; the
  4874 latter view is presented only on export into the global theory
  4875 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  4876 on the old view without predicates;
  4877 
  4878 * Pure: predefined locales "var" and "struct" are useful for sharing
  4879 parameters (as in CASL, for example); just specify something like
  4880 ``var x + var y + struct M'' as import;
  4881 
  4882 * Pure: improved thms_containing: proper indexing of facts instead of
  4883 raw theorems; check validity of results wrt. current name space;
  4884 include local facts of proof configuration (also covers active
  4885 locales), cover fixed variables in index; may use "_" in term
  4886 specification; an optional limit for the number of printed facts may
  4887 be given (the default is 40);
  4888 
  4889 * Pure: disallow duplicate fact bindings within new-style theory files
  4890 (batch-mode only);
  4891 
  4892 * Provers: improved induct method: assumptions introduced by case
  4893 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  4894 the goal statement); "foo" still refers to all facts collectively;
  4895 
  4896 * Provers: the function blast.overloaded has been removed: all constants
  4897 are regarded as potentially overloaded, which improves robustness in exchange
  4898 for slight decrease in efficiency;
  4899 
  4900 * Provers/linorder: New generic prover for transitivity reasoning over
  4901 linear orders.  Note: this prover is not efficient!
  4902 
  4903 * Isar: preview of problems to finish 'show' now produce an error
  4904 rather than just a warning (in interactive mode);
  4905 
  4906 
  4907 *** HOL ***
  4908 
  4909 * arith(_tac)
  4910 
  4911  - Produces a counter example if it cannot prove a goal.
  4912    Note that the counter example may be spurious if the goal is not a formula
  4913    of quantifier-free linear arithmetic.
  4914    In ProofGeneral the counter example appears in the trace buffer.
  4915 
  4916  - Knows about div k and mod k where k is a numeral of type nat or int.
  4917 
  4918  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  4919    linear arithmetic fails. This takes account of quantifiers and divisibility.
  4920    Presburger arithmetic can also be called explicitly via presburger(_tac).
  4921 
  4922 * simp's arithmetic capabilities have been enhanced a bit: it now
  4923 takes ~= in premises into account (by performing a case split);
  4924 
  4925 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  4926 are distributed over a sum of terms;
  4927 
  4928 * New tactic "trans_tac" and method "trans" instantiate
  4929 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  4930 "<=", "<" and "=").
  4931 
  4932 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  4933 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  4934 
  4935 * 'typedef' command has new option "open" to suppress the set
  4936 definition;
  4937 
  4938 * functions Min and Max on finite sets have been introduced (theory
  4939 Finite_Set);
  4940 
  4941 * attribute [symmetric] now works for relations as well; it turns
  4942 (x,y) : R^-1 into (y,x) : R, and vice versa;
  4943 
  4944 * induct over a !!-quantified statement (say !!x1..xn):
  4945   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  4946 
  4947 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  4948 %x. None. Warning: empty_def now refers to the previously hidden definition
  4949 of the empty set.
  4950 
  4951 * Algebra: formalization of classical algebra.  Intended as base for
  4952 any algebraic development in Isabelle.  Currently covers group theory
  4953 (up to Sylow's theorem) and ring theory (Universal Property of
  4954 Univariate Polynomials).  Contributions welcome;
  4955 
  4956 * GroupTheory: deleted, since its material has been moved to Algebra;
  4957 
  4958 * Complex: new directory of the complex numbers with numeric constants,
  4959 nonstandard complex numbers, and some complex analysis, standard and
  4960 nonstandard (Jacques Fleuriot);
  4961 
  4962 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  4963 
  4964 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  4965 Fleuriot);
  4966 
  4967 * Real/HahnBanach: updated and adapted to locales;
  4968 
  4969 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  4970 Gray and Kramer);
  4971 
  4972 * UNITY: added the Meier-Sanders theory of progress sets;
  4973 
  4974 * MicroJava: bytecode verifier and lightweight bytecode verifier
  4975 as abstract algorithms, instantiated to the JVM;
  4976 
  4977 * Bali: Java source language formalization. Type system, operational
  4978 semantics, axiomatic semantics. Supported language features:
  4979 classes, interfaces, objects,virtual methods, static methods,
  4980 static/instance fields, arrays, access modifiers, definite
  4981 assignment, exceptions.
  4982 
  4983 
  4984 *** ZF ***
  4985 
  4986 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  4987 universe, etc.);
  4988 
  4989 * Main ZF: virtually all theories converted to new-style format;
  4990 
  4991 
  4992 *** ML ***
  4993 
  4994 * Pure: Tactic.prove provides sane interface for internal proofs;
  4995 omits the infamous "standard" operation, so this is more appropriate
  4996 than prove_goalw_cterm in many situations (e.g. in simprocs);
  4997 
  4998 * Pure: improved error reporting of simprocs;
  4999 
  5000 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  5001 up simprocs;
  5002 
  5003 
  5004 *** Document preparation ***
  5005 
  5006 * uses \par instead of \\ for line breaks in theory text. This may
  5007 shift some page breaks in large documents. To get the old behaviour
  5008 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  5009 
  5010 * minimized dependencies of isabelle.sty and isabellesym.sty on
  5011 other packages
  5012 
  5013 * \<euro> now needs package babel/greek instead of marvosym (which
  5014 broke \Rightarrow)
  5015 
  5016 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  5017 textcomp package)
  5018 
  5019 
  5020 
  5021 New in Isabelle2002 (March 2002)
  5022 --------------------------------
  5023 
  5024 *** Document preparation ***
  5025 
  5026 * greatly simplified document preparation setup, including more
  5027 graceful interpretation of isatool usedir -i/-d/-D options, and more
  5028 instructive isatool mkdir; users should basically be able to get
  5029 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  5030 users may run a separate document processing stage manually like this:
  5031 "isatool usedir -D output HOL Test && isatool document Test/output";
  5032 
  5033 * theory dependency graph may now be incorporated into documents;
  5034 isatool usedir -g true will produce session_graph.eps/.pdf for use
  5035 with \includegraphics of LaTeX;
  5036 
  5037 * proper spacing of consecutive markup elements, especially text
  5038 blocks after section headings;
  5039 
  5040 * support bold style (for single symbols only), input syntax is like
  5041 this: "\<^bold>\<alpha>" or "\<^bold>A";
  5042 
  5043 * \<bullet> is now output as bold \cdot by default, which looks much
  5044 better in printed text;
  5045 
  5046 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  5047 note that these symbols are currently unavailable in Proof General /
  5048 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  5049 
  5050 * isatool latex no longer depends on changed TEXINPUTS, instead
  5051 isatool document copies the Isabelle style files to the target
  5052 location;
  5053 
  5054 
  5055 *** Isar ***
  5056 
  5057 * Pure/Provers: improved proof by cases and induction;
  5058   - 'case' command admits impromptu naming of parameters (such as
  5059     "case (Suc n)");
  5060   - 'induct' method divinates rule instantiation from the inductive
  5061     claim; no longer requires excessive ?P bindings for proper
  5062     instantiation of cases;
  5063   - 'induct' method properly enumerates all possibilities of set/type
  5064     rules; as a consequence facts may be also passed through *type*
  5065     rules without further ado;
  5066   - 'induct' method now derives symbolic cases from the *rulified*
  5067     rule (before it used to rulify cases stemming from the internal
  5068     atomized version); this means that the context of a non-atomic
  5069     statement becomes is included in the hypothesis, avoiding the
  5070     slightly cumbersome show "PROP ?case" form;
  5071   - 'induct' may now use elim-style induction rules without chaining
  5072     facts, using ``missing'' premises from the goal state; this allows
  5073     rules stemming from inductive sets to be applied in unstructured
  5074     scripts, while still benefitting from proper handling of non-atomic
  5075     statements; NB: major inductive premises need to be put first, all
  5076     the rest of the goal is passed through the induction;
  5077   - 'induct' proper support for mutual induction involving non-atomic
  5078     rule statements (uses the new concept of simultaneous goals, see
  5079     below);
  5080   - append all possible rule selections, but only use the first
  5081     success (no backtracking);
  5082   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  5083   - undeclared rule case names default to numbers 1, 2, 3, ...;
  5084   - added 'print_induct_rules' (covered by help item in recent Proof
  5085     General versions);
  5086   - moved induct/cases attributes to Pure, methods to Provers;
  5087   - generic method setup instantiated for FOL and HOL;
  5088 
  5089 * Pure: support multiple simultaneous goal statements, for example
  5090 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  5091 meta-level mechanism, this acts as if several individual goals had
  5092 been stated separately; in particular common proof methods need to be
  5093 repeated in order to cover all claims; note that a single elimination
  5094 step is *not* sufficient to establish the two conjunctions, so this
  5095 fails:
  5096 
  5097   assume "A & B" then have A and B ..   (*".." fails*)
  5098 
  5099 better use "obtain" in situations as above; alternative refer to
  5100 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  5101 
  5102 * Pure: proper integration with ``locales''; unlike the original
  5103 version by Florian Kammller, Isar locales package high-level proof
  5104 contexts rather than raw logical ones (e.g. we admit to include
  5105 attributes everywhere); operations on locales include merge and
  5106 rename; support for implicit arguments (``structures''); simultaneous
  5107 type-inference over imports and text; see also HOL/ex/Locales.thy for
  5108 some examples;
  5109 
  5110 * Pure: the following commands have been ``localized'', supporting a
  5111 target locale specification "(in name)": 'lemma', 'theorem',
  5112 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  5113 stored both within the locale and at the theory level (exported and
  5114 qualified by the locale name);
  5115 
  5116 * Pure: theory goals may now be specified in ``long'' form, with
  5117 ad-hoc contexts consisting of arbitrary locale elements. for example
  5118 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  5119 definitions may be given, too); the result is a meta-level rule with
  5120 the context elements being discharged in the obvious way;
  5121 
  5122 * Pure: new proof command 'using' allows to augment currently used
  5123 facts after a goal statement ('using' is syntactically analogous to
  5124 'apply', but acts on the goal's facts only); this allows chained facts
  5125 to be separated into parts given before and after a claim, as in
  5126 ``from a and b have C using d and e <proof>'';
  5127 
  5128 * Pure: renamed "antecedent" case to "rule_context";
  5129 
  5130 * Pure: new 'judgment' command records explicit information about the
  5131 object-logic embedding (used by several tools internally); no longer
  5132 use hard-wired "Trueprop";
  5133 
  5134 * Pure: added 'corollary' command;
  5135 
  5136 * Pure: fixed 'token_translation' command;
  5137 
  5138 * Pure: removed obsolete 'exported' attribute;
  5139 
  5140 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  5141 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  5142 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  5143 
  5144 * Pure: method 'atomize' presents local goal premises as object-level
  5145 statements (atomic meta-level propositions); setup controlled via
  5146 rewrite rules declarations of 'atomize' attribute; example
  5147 application: 'induct' method with proper rule statements in improper
  5148 proof *scripts*;
  5149 
  5150 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  5151 now consider the syntactic context of assumptions, giving a better
  5152 chance to get type-inference of the arguments right (this is
  5153 especially important for locales);
  5154 
  5155 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  5156 mode;
  5157 
  5158 * Pure/obtain: the formal conclusion "thesis", being marked as
  5159 ``internal'', may no longer be reference directly in the text;
  5160 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  5161 situations;
  5162 
  5163 * Pure: generic 'sym' attribute which declares a rule both as pure
  5164 'elim?' and for the 'symmetric' operation;
  5165 
  5166 * Pure: marginal comments ``--'' may now occur just anywhere in the
  5167 text; the fixed correlation with particular command syntax has been
  5168 discontinued;
  5169 
  5170 * Pure: new method 'rules' is particularly well-suited for proof
  5171 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  5172 but often produces more compact proof terms with less detours;
  5173 
  5174 * Pure/Provers/classical: simplified integration with pure rule
  5175 attributes and methods; the classical "intro?/elim?/dest?"
  5176 declarations coincide with the pure ones; the "rule" method no longer
  5177 includes classically swapped intros; "intro" and "elim" methods no
  5178 longer pick rules from the context; also got rid of ML declarations
  5179 AddXIs/AddXEs/AddXDs; all of this has some potential for
  5180 INCOMPATIBILITY;
  5181 
  5182 * Provers/classical: attribute 'swapped' produces classical inversions
  5183 of introduction rules;
  5184 
  5185 * Provers/simplifier: 'simplified' attribute may refer to explicit
  5186 rules instead of full simplifier context; 'iff' attribute handles
  5187 conditional rules;
  5188 
  5189 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  5190 
  5191 * HOL: 'recdef' now fails on unfinished automated proofs, use
  5192 "(permissive)" option to recover old behavior;
  5193 
  5194 * HOL: 'inductive' no longer features separate (collective) attributes
  5195 for 'intros' (was found too confusing);
  5196 
  5197 * HOL: properly declared induction rules less_induct and
  5198 wf_induct_rule;
  5199 
  5200 
  5201 *** HOL ***
  5202 
  5203 * HOL: moved over to sane numeral syntax; the new policy is as
  5204 follows:
  5205 
  5206   - 0 and 1 are polymorphic constants, which are defined on any
  5207   numeric type (nat, int, real etc.);
  5208 
  5209   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  5210   binary representation internally;
  5211 
  5212   - type nat has special constructor Suc, and generally prefers Suc 0
  5213   over 1::nat and Suc (Suc 0) over 2::nat;
  5214 
  5215 This change may cause significant problems of INCOMPATIBILITY; here
  5216 are some hints on converting existing sources:
  5217 
  5218   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  5219   entities, so expressions involving "-" (unary or binary minus) need
  5220   to be spaced properly;
  5221 
  5222   - existing occurrences of "1" may need to be constraint "1::nat" or
  5223   even replaced by Suc 0; similar for old "2";
  5224 
  5225   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  5226 
  5227   - remove all special provisions on numerals in proofs;
  5228 
  5229 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  5230 representation (depends on bin_arith_simps in the default context);
  5231 
  5232 * HOL: symbolic syntax for x^2 (numeral 2);
  5233 
  5234 * HOL: the class of all HOL types is now called "type" rather than
  5235 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5236 in axclass/classes, instance/arities, and (usually rare) occurrences
  5237 in typings (of consts etc.); internally the class is called
  5238 "HOL.type", ML programs should refer to HOLogic.typeS;
  5239 
  5240 * HOL/record package improvements:
  5241   - new derived operations "fields" to build a partial record section,
  5242     "extend" to promote a fixed record to a record scheme, and
  5243     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5244     declared as simp by default;
  5245   - shared operations ("more", "fields", etc.) now need to be always
  5246     qualified) --- potential INCOMPATIBILITY;
  5247   - removed "make_scheme" operations (use "make" with "extend") --
  5248     INCOMPATIBILITY;
  5249   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5250   - provides cases/induct rules for use with corresponding Isar
  5251     methods (for concrete records, record schemes, concrete more
  5252     parts, and schematic more parts -- in that order);
  5253   - internal definitions directly based on a light-weight abstract
  5254     theory of product types over typedef rather than datatype;
  5255 
  5256 * HOL: generic code generator for generating executable ML code from
  5257 specifications; specific support for HOL constructs such as inductive
  5258 datatypes and sets, as well as recursive functions; can be invoked
  5259 via 'generate_code' theory section;
  5260 
  5261 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5262 
  5263 * HOL: consolidated and renamed several theories.  In particular:
  5264         Ord.thy has been absorbed into HOL.thy
  5265         String.thy has been absorbed into List.thy
  5266 
  5267 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5268 (beware of argument permutation!);
  5269 
  5270 * HOL: linorder_less_split superseded by linorder_cases;
  5271 
  5272 * HOL/List: "nodups" renamed to "distinct";
  5273 
  5274 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5275 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5276   - Ex_def has changed, now need to use some_eq_ex
  5277 
  5278 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5279 in this (rare) case use:
  5280 
  5281   delSWrapper "split_all_tac"
  5282   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  5283 
  5284 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  5285 MAY FAIL;
  5286 
  5287 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  5288 Isabelle's type classes, ^ on functions and relations has too general
  5289 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  5290 necessary to attach explicit type constraints;
  5291 
  5292 * HOL/Relation: the prefix name of the infix "O" has been changed from
  5293 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  5294 renamed accordingly (eg "compI" -> "rel_compI").
  5295 
  5296 * HOL: syntax translations now work properly with numerals and records
  5297 expressions;
  5298 
  5299 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  5300 of "lam" -- INCOMPATIBILITY;
  5301 
  5302 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  5303 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  5304 renamed "Product_Type.unit";
  5305 
  5306 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  5307 
  5308 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  5309 the "cases" method);
  5310 
  5311 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  5312 Florian Kammller);
  5313 
  5314 * HOL/IMP: updated and converted to new-style theory format; several
  5315 parts turned into readable document, with proper Isar proof texts and
  5316 some explanations (by Gerwin Klein);
  5317 
  5318 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  5319 
  5320 * HOL-Hyperreal is now a logic image;
  5321 
  5322 
  5323 *** HOLCF ***
  5324 
  5325 * Isar: consts/constdefs supports mixfix syntax for continuous
  5326 operations;
  5327 
  5328 * Isar: domain package adapted to new-style theory format, e.g. see
  5329 HOLCF/ex/Dnat.thy;
  5330 
  5331 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  5332 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  5333 lift.induct_tac, always use UU instead of Undef;
  5334 
  5335 * HOLCF/IMP: updated and converted to new-style theory;
  5336 
  5337 
  5338 *** ZF ***
  5339 
  5340 * Isar: proper integration of logic-specific tools and packages,
  5341 including theory commands '(co)inductive', '(co)datatype',
  5342 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  5343 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  5344 
  5345 * theory Main no longer includes AC; for the Axiom of Choice, base
  5346 your theory on Main_ZFC;
  5347 
  5348 * the integer library now covers quotients and remainders, with many
  5349 laws relating division to addition, multiplication, etc.;
  5350 
  5351 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  5352 typeless version of the formalism;
  5353 
  5354 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  5355 format;
  5356 
  5357 * ZF/Induct: new directory for examples of inductive definitions,
  5358 including theory Multiset for multiset orderings; converted to
  5359 new-style theory format;
  5360 
  5361 * ZF: many new theorems about lists, ordinals, etc.;
  5362 
  5363 
  5364 *** General ***
  5365 
  5366 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  5367 variable proof controls level of detail: 0 = no proofs (only oracle
  5368 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  5369 also ref manual for further ML interfaces;
  5370 
  5371 * Pure/axclass: removed obsolete ML interface
  5372 goal_subclass/goal_arity;
  5373 
  5374 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  5375 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  5376 separate tokens, so expressions involving minus need to be spaced
  5377 properly;
  5378 
  5379 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  5380 rather than "infixl" or "infixr";
  5381 
  5382 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  5383 sort constraint specifications in type inference; e.g. "x::_::foo"
  5384 ensures that the type of "x" is of sort "foo" (but not necessarily a
  5385 type variable);
  5386 
  5387 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  5388 control output of nested => (types); the default behavior is
  5389 "type_brackets";
  5390 
  5391 * Pure/syntax: builtin parse translation for "_constify" turns valued
  5392 tokens into AST constants;
  5393 
  5394 * Pure/syntax: prefer later declarations of translations and print
  5395 translation functions; potential INCOMPATIBILITY: need to reverse
  5396 multiple declarations for same syntax element constant;
  5397 
  5398 * Pure/show_hyps reset by default (in accordance to existing Isar
  5399 practice);
  5400 
  5401 * Provers/classical: renamed addaltern to addafter, addSaltern to
  5402 addSafter;
  5403 
  5404 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  5405 as well;
  5406 
  5407 * system: tested support for MacOS X; should be able to get Isabelle +
  5408 Proof General to work in a plain Terminal after installing Poly/ML
  5409 (e.g. from the Isabelle distribution area) and GNU bash alone
  5410 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  5411 support requires further installations, e.g. from
  5412 http://fink.sourceforge.net/);
  5413 
  5414 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  5415 
  5416 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  5417 of 40 MB), cf. ML_OPTIONS;
  5418 
  5419 * system: Proof General keywords specification is now part of the
  5420 Isabelle distribution (see etc/isar-keywords.el);
  5421 
  5422 * system: support for persistent Proof General sessions (refrain from
  5423 outdating all loaded theories on startup); user may create writable
  5424 logic images like this: ``isabelle -q HOL Test'';
  5425 
  5426 * system: smart selection of Isabelle process versus Isabelle
  5427 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  5428 run both "isabelle" and "Isabelle" even if file names are badly
  5429 damaged (executable inspects the case of the first letter of its own
  5430 name); added separate "isabelle-process" and "isabelle-interface";
  5431 
  5432 * system: refrain from any attempt at filtering input streams; no
  5433 longer support ``8bit'' encoding of old isabelle font, instead proper
  5434 iso-latin characters may now be used; the related isatools
  5435 "symbolinput" and "nonascii" have disappeared as well;
  5436 
  5437 * system: removed old "xterm" interface (the print modes "xterm" and
  5438 "xterm_color" are still available for direct use in a suitable
  5439 terminal);
  5440 
  5441 
  5442 
  5443 New in Isabelle99-2 (February 2001)
  5444 -----------------------------------
  5445 
  5446 *** Overview of INCOMPATIBILITIES ***
  5447 
  5448 * HOL: please note that theories in the Library and elsewhere often use the
  5449 new-style (Isar) format; to refer to their theorems in an ML script you must
  5450 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  5451 
  5452 * HOL: inductive package no longer splits induction rule aggressively,
  5453 but only as far as specified by the introductions given; the old
  5454 format may be recovered via ML function complete_split_rule or attribute
  5455 'split_rule (complete)';
  5456 
  5457 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  5458 gfp_Tarski to gfp_unfold;
  5459 
  5460 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  5461 
  5462 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  5463 relation); infix "^^" has been renamed "``"; infix "``" has been
  5464 renamed "`"; "univalent" has been renamed "single_valued";
  5465 
  5466 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  5467 operation;
  5468 
  5469 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  5470 
  5471 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  5472 
  5473 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  5474 consequence, it is no longer monotonic wrt. the local goal context
  5475 (which is now passed through the inductive cases);
  5476 
  5477 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  5478 \<gg> to \<ggreater>;
  5479 
  5480 
  5481 *** Document preparation ***
  5482 
  5483 * \isabellestyle{NAME} selects version of Isabelle output (currently
  5484 available: are "it" for near math-mode best-style output, "sl" for
  5485 slanted text style, and "tt" for plain type-writer; if no
  5486 \isabellestyle command is given, output is according to slanted
  5487 type-writer);
  5488 
  5489 * support sub/super scripts (for single symbols only), input syntax is
  5490 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  5491 
  5492 * some more standard symbols; see Appendix A of the system manual for
  5493 the complete list of symbols defined in isabellesym.sty;
  5494 
  5495 * improved isabelle style files; more abstract symbol implementation
  5496 (should now use \isamath{...} and \isatext{...} in custom symbol
  5497 definitions);
  5498 
  5499 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  5500 state; Note that presentation of goal states does not conform to
  5501 actual human-readable proof documents.  Please do not include goal
  5502 states into document output unless you really know what you are doing!
  5503 
  5504 * proper indentation of antiquoted output with proportional LaTeX
  5505 fonts;
  5506 
  5507 * no_document ML operator temporarily disables LaTeX document
  5508 generation;
  5509 
  5510 * isatool unsymbolize tunes sources for plain ASCII communication;
  5511 
  5512 
  5513 *** Isar ***
  5514 
  5515 * Pure: Isar now suffers initial goal statements to contain unbound
  5516 schematic variables (this does not conform to actual readable proof
  5517 documents, due to unpredictable outcome and non-compositional proof
  5518 checking); users who know what they are doing may use schematic goals
  5519 for Prolog-style synthesis of proven results;
  5520 
  5521 * Pure: assumption method (an implicit finishing) now handles actual
  5522 rules as well;
  5523 
  5524 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  5525 initial goal, declare "that" only as Pure intro (only for single
  5526 steps); the "that" rule assumption may now be involved in implicit
  5527 finishing, thus ".." becomes a feasible for trivial obtains;
  5528 
  5529 * Pure: default proof step now includes 'intro_classes'; thus trivial
  5530 instance proofs may be performed by "..";
  5531 
  5532 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  5533 statements as well;
  5534 
  5535 * Pure: more robust selection of calculational rules;
  5536 
  5537 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  5538 rule (as well as the assumption rule);
  5539 
  5540 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  5541 lemmas, using the graph browser tool;
  5542 
  5543 * Pure: predict failure of "show" in interactive mode;
  5544 
  5545 * Pure: 'thms_containing' now takes actual terms as arguments;
  5546 
  5547 * HOL: improved method 'induct' --- now handles non-atomic goals
  5548 (potential INCOMPATIBILITY); tuned error handling;
  5549 
  5550 * HOL: cases and induct rules now provide explicit hints about the
  5551 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  5552 any remaining facts are inserted into the goal verbatim;
  5553 
  5554 * HOL: local contexts (aka cases) may now contain term bindings as
  5555 well; the 'cases' and 'induct' methods new provide a ?case binding for
  5556 the result to be shown in each case;
  5557 
  5558 * HOL: added 'recdef_tc' command;
  5559 
  5560 * isatool convert assists in eliminating legacy ML scripts;
  5561 
  5562 
  5563 *** HOL ***
  5564 
  5565 * HOL/Library: a collection of generic theories to be used together
  5566 with main HOL; the theory loader path already includes this directory
  5567 by default; the following existing theories have been moved here:
  5568 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  5569 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  5570 
  5571 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  5572 modelling and verification task performed in Isabelle/HOL +
  5573 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  5574 
  5575 * HOL/Algebra: special summation operator SUM no longer exists, it has
  5576 been replaced by setsum; infix 'assoc' now has priority 50 (like
  5577 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  5578 'domain', this makes the theory consistent with mathematical
  5579 literature;
  5580 
  5581 * HOL basics: added overloaded operations "inverse" and "divide"
  5582 (infix "/"), syntax for generic "abs" operation, generic summation
  5583 operator \<Sum>;
  5584 
  5585 * HOL/typedef: simplified package, provide more useful rules (see also
  5586 HOL/subset.thy);
  5587 
  5588 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  5589 now expressed as a proper nested rule (old-style tactic scripts may
  5590 require atomize_strip_tac to cope with non-atomic premises);
  5591 
  5592 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  5593 to "split_conv" (old name still available for compatibility);
  5594 
  5595 * HOL: improved concrete syntax for strings (e.g. allows translation
  5596 rules with string literals);
  5597 
  5598 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  5599  and Fleuriot's mechanization of analysis, including the transcendental
  5600  functions for the reals;
  5601 
  5602 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  5603 
  5604 
  5605 *** CTT ***
  5606 
  5607 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  5608 "lam" is displayed as TWO lambda-symbols
  5609 
  5610 * CTT: theory Main now available, containing everything (that is, Bool
  5611 and Arith);
  5612 
  5613 
  5614 *** General ***
  5615 
  5616 * Pure: the Simplifier has been implemented properly as a derived rule
  5617 outside of the actual kernel (at last!); the overall performance
  5618 penalty in practical applications is about 50%, while reliability of
  5619 the Isabelle inference kernel has been greatly improved;
  5620 
  5621 * print modes "brackets" and "no_brackets" control output of nested =>
  5622 (types) and ==> (props); the default behaviour is "brackets";
  5623 
  5624 * Provers: fast_tac (and friends) now handle actual object-logic rules
  5625 as assumptions as well;
  5626 
  5627 * system: support Poly/ML 4.0;
  5628 
  5629 * system: isatool install handles KDE version 1 or 2;
  5630 
  5631 
  5632 
  5633 New in Isabelle99-1 (October 2000)
  5634 ----------------------------------
  5635 
  5636 *** Overview of INCOMPATIBILITIES ***
  5637 
  5638 * HOL: simplification of natural numbers is much changed; to partly
  5639 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  5640 issue the following ML commands:
  5641 
  5642   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  5643   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  5644 
  5645 * HOL: simplification no longer dives into case-expressions; this is
  5646 controlled by "t.weak_case_cong" for each datatype t;
  5647 
  5648 * HOL: nat_less_induct renamed to less_induct;
  5649 
  5650 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  5651 fixsome to patch .thy and .ML sources automatically;
  5652 
  5653   select_equality  -> some_equality
  5654   select_eq_Ex     -> some_eq_ex
  5655   selectI2EX       -> someI2_ex
  5656   selectI2         -> someI2
  5657   selectI          -> someI
  5658   select1_equality -> some1_equality
  5659   Eps_sym_eq       -> some_sym_eq_trivial
  5660   Eps_eq           -> some_eq_trivial
  5661 
  5662 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  5663 
  5664 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  5665 instead);
  5666 
  5667 * HOL: the recursion equations generated by 'recdef' are now called
  5668 f.simps instead of f.rules;
  5669 
  5670 * HOL: qed_spec_mp now also handles bounded ALL as well;
  5671 
  5672 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  5673 sometimes be needed;
  5674 
  5675 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  5676 
  5677 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  5678 
  5679 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  5680 product is now "<*>" instead of "Times"; the lexicographic product is
  5681 now "<*lex*>" instead of "**";
  5682 
  5683 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  5684 of main HOL, but was unused); better use HOL's datatype package;
  5685 
  5686 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  5687 the old syntax may be recovered as follows:
  5688 
  5689   syntax (symbols)
  5690     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  5691       (infixl "\\<oplus>" 100)
  5692 
  5693 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5694 
  5695 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  5696 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  5697 internally;
  5698 
  5699 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  5700 changed from A/r to A//r;
  5701 
  5702 * ZF: new treatment of arithmetic (nat & int) may break some old
  5703 proofs;
  5704 
  5705 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  5706 rulify -> rule_format, elimify -> elim_format, ...);
  5707 
  5708 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5709 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  5710 should have to change intro!! to intro? only); replaced "delrule" by
  5711 "rule del";
  5712 
  5713 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  5714 
  5715 * Provers: strengthened force_tac by using new first_best_tac;
  5716 
  5717 * LaTeX document preparation: several changes of isabelle.sty (see
  5718 lib/texinputs);
  5719 
  5720 
  5721 *** Document preparation ***
  5722 
  5723 * formal comments (text blocks etc.) in new-style theories may now
  5724 contain antiquotations of thm/prop/term/typ/text to be presented
  5725 according to latex print mode; concrete syntax is like this:
  5726 @{term[show_types] "f(x) = a + x"};
  5727 
  5728 * isatool mkdir provides easy setup of Isabelle session directories,
  5729 including proper document sources;
  5730 
  5731 * generated LaTeX sources are now deleted after successful run
  5732 (isatool document -c); may retain a copy somewhere else via -D option
  5733 of isatool usedir;
  5734 
  5735 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  5736 style files, achieving self-contained LaTeX sources and simplifying
  5737 LaTeX debugging;
  5738 
  5739 * old-style theories now produce (crude) LaTeX output as well;
  5740 
  5741 * browser info session directories are now self-contained (may be put
  5742 on WWW server seperately); improved graphs of nested sessions; removed
  5743 graph for 'all sessions';
  5744 
  5745 * several improvements in isabelle style files; \isabellestyle{it}
  5746 produces fake math mode output; \isamarkupheader is now \section by
  5747 default; see lib/texinputs/isabelle.sty etc.;
  5748 
  5749 
  5750 *** Isar ***
  5751 
  5752 * Isar/Pure: local results and corresponding term bindings are now
  5753 subject to Hindley-Milner polymorphism (similar to ML); this
  5754 accommodates incremental type-inference very nicely;
  5755 
  5756 * Isar/Pure: new derived language element 'obtain' supports
  5757 generalized existence reasoning;
  5758 
  5759 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  5760 support accumulation of results, without applying any rules yet;
  5761 useful to collect intermediate results without explicit name
  5762 references, and for use with transitivity rules with more than 2
  5763 premises;
  5764 
  5765 * Isar/Pure: scalable support for case-analysis type proofs: new
  5766 'case' language element refers to local contexts symbolically, as
  5767 produced by certain proof methods; internally, case names are attached
  5768 to theorems as "tags";
  5769 
  5770 * Isar/Pure: theory command 'hide' removes declarations from
  5771 class/type/const name spaces;
  5772 
  5773 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  5774 indicate potential overloading;
  5775 
  5776 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  5777 
  5778 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  5779 "{a,b,c}" instead of {a,b,c};
  5780 
  5781 * Isar/Pure now provides its own version of intro/elim/dest
  5782 attributes; useful for building new logics, but beware of confusion
  5783 with the version in Provers/classical;
  5784 
  5785 * Isar/Pure: the local context of (non-atomic) goals is provided via
  5786 case name 'antecedent';
  5787 
  5788 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  5789 to the current context is now done automatically);
  5790 
  5791 * Isar/Pure: theory command 'method_setup' provides a simple interface
  5792 for definining proof methods in ML;
  5793 
  5794 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5795 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  5796 most cases, one should have to change intro!! to intro? only);
  5797 replaced "delrule" by "rule del";
  5798 
  5799 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  5800 'symmetric' attribute (the latter supercedes [RS sym]);
  5801 
  5802 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  5803 method modifier); 'simp' method: 'only:' modifier removes loopers as
  5804 well (including splits);
  5805 
  5806 * Isar/Provers: Simplifier and Classical methods now support all kind
  5807 of modifiers used in the past, including 'cong', 'iff', etc.
  5808 
  5809 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  5810 of Simplifier and Classical reasoner);
  5811 
  5812 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  5813 now support named cases; major packages (inductive, datatype, primrec,
  5814 recdef) support case names and properly name parameters;
  5815 
  5816 * Isar/HOL: new transitivity rules for substitution in inequalities --
  5817 monotonicity conditions are extracted to be proven at end of
  5818 calculations;
  5819 
  5820 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  5821 method anyway;
  5822 
  5823 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  5824 split_if split_if_asm; datatype package provides theorems foo.splits =
  5825 foo.split foo.split_asm for each datatype;
  5826 
  5827 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  5828 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  5829 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  5830 use "(cases (simplified))" method in proper proof texts);
  5831 
  5832 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  5833 
  5834 * Isar: names of theorems etc. may be natural numbers as well;
  5835 
  5836 * Isar: 'pr' command: optional arguments for goals_limit and
  5837 ProofContext.prems_limit; no longer prints theory contexts, but only
  5838 proof states;
  5839 
  5840 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  5841 additional print modes to be specified; e.g. "pr(latex)" will print
  5842 proof state according to the Isabelle LaTeX style;
  5843 
  5844 * Isar: improved support for emulating tactic scripts, including proof
  5845 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  5846 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  5847 (for HOL datatypes);
  5848 
  5849 * Isar: simplified (more robust) goal selection of proof methods: 1st
  5850 goal, all goals, or explicit goal specifier (tactic emulation); thus
  5851 'proof method scripts' have to be in depth-first order;
  5852 
  5853 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  5854 
  5855 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  5856 should instead use individual commands for printing items
  5857 (print_commands, print_methods etc.);
  5858 
  5859 * Isar: added 'nothing' --- the empty list of theorems;
  5860 
  5861 
  5862 *** HOL ***
  5863 
  5864 * HOL/MicroJava: formalization of a fragment of Java, together with a
  5865 corresponding virtual machine and a specification of its bytecode
  5866 verifier and a lightweight bytecode verifier, including proofs of
  5867 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  5868 Cornelia Pusch (see also the homepage of project Bali at
  5869 http://isabelle.in.tum.de/Bali/);
  5870 
  5871 * HOL/Algebra: new theory of rings and univariate polynomials, by
  5872 Clemens Ballarin;
  5873 
  5874 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  5875 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  5876 Rasmussen;
  5877 
  5878 * HOL/Lattice: fundamental concepts of lattice theory and order
  5879 structures, including duals, properties of bounds versus algebraic
  5880 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  5881 Theorem for complete lattices etc.; may also serve as a demonstration
  5882 for abstract algebraic reasoning using axiomatic type classes, and
  5883 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  5884 
  5885 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  5886 von Oheimb;
  5887 
  5888 * HOL/IMPP: extension of IMP with local variables and mutually
  5889 recursive procedures, by David von Oheimb;
  5890 
  5891 * HOL/Lambda: converted into new-style theory and document;
  5892 
  5893 * HOL/ex/Multiquote: example of multiple nested quotations and
  5894 anti-quotations -- basically a generalized version of de-Bruijn
  5895 representation; very useful in avoiding lifting of operations;
  5896 
  5897 * HOL/record: added general record equality rule to simpset; fixed
  5898 select-update simplification procedure to handle extended records as
  5899 well; admit "r" as field name;
  5900 
  5901 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  5902 other numeric types and also as the identity of groups, rings, etc.;
  5903 
  5904 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  5905 Types nat and int belong to this axclass;
  5906 
  5907 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  5908    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  5909    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  5910   two terms #m*u and #n*u are replaced by #(m+n)*u
  5911     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  5912   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  5913     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  5914 
  5915 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  5916 powerful prover for predicate logic but knows nothing of clasets; see
  5917 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  5918 
  5919 * HOL: new version of "case_tac" subsumes both boolean case split and
  5920 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  5921 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  5922 
  5923 * HOL: simplification no longer dives into case-expressions: only the
  5924 selector expression is simplified, but not the remaining arms; to
  5925 enable full simplification of case-expressions for datatype t, you may
  5926 remove t.weak_case_cong from the simpset, either globally (Delcongs
  5927 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  5928 
  5929 * HOL/recdef: the recursion equations generated by 'recdef' for
  5930 function 'f' are now called f.simps instead of f.rules; if all
  5931 termination conditions are proved automatically, these simplification
  5932 rules are added to the simpset, as in primrec; rules may be named
  5933 individually as well, resulting in a separate list of theorems for
  5934 each equation;
  5935 
  5936 * HOL/While is a new theory that provides a while-combinator. It
  5937 permits the definition of tail-recursive functions without the
  5938 provision of a termination measure. The latter is necessary once the
  5939 invariant proof rule for while is applied.
  5940 
  5941 * HOL: new (overloaded) notation for the set of elements below/above
  5942 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  5943 
  5944 * HOL: theorems impI, allI, ballI bound as "strip";
  5945 
  5946 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  5947 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  5948 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  5949 
  5950 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5951 
  5952 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  5953 main HOL, but was unused);
  5954 
  5955 * HOL: fewer consts declared as global (e.g. have to refer to
  5956 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  5957 
  5958 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  5959 in case of overlap with user translations (e.g. judgements over
  5960 tuples); (note that the underlying logical represenation is still
  5961 bogus);
  5962 
  5963 
  5964 *** ZF ***
  5965 
  5966 * ZF: simplification automatically cancels common terms in arithmetic
  5967 expressions over nat and int;
  5968 
  5969 * ZF: new treatment of nat to minimize type-checking: all operators
  5970 coerce their operands to a natural number using the function natify,
  5971 making the algebraic laws unconditional;
  5972 
  5973 * ZF: as above, for int: operators coerce their operands to an integer
  5974 using the function intify;
  5975 
  5976 * ZF: the integer library now contains many of the usual laws for the
  5977 orderings, including $<=, and monotonicity laws for $+ and $*;
  5978 
  5979 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  5980 simplification;
  5981 
  5982 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  5983 to the simplifier and classical reasoner simultaneously;
  5984 
  5985 
  5986 *** General ***
  5987 
  5988 * Provers: blast_tac now handles actual object-logic rules as
  5989 assumptions; note that auto_tac uses blast_tac internally as well;
  5990 
  5991 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  5992 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  5993 
  5994 * Provers: delrules now handles destruct rules as well (no longer need
  5995 explicit make_elim);
  5996 
  5997 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  5998   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5999 use instead the strong form,
  6000   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  6001 in HOL, FOL and ZF the function cla_make_elim will create such rules
  6002 from destruct-rules;
  6003 
  6004 * Provers: Simplifier.easy_setup provides a fast path to basic
  6005 Simplifier setup for new object-logics;
  6006 
  6007 * Pure: AST translation rules no longer require constant head on LHS;
  6008 
  6009 * Pure: improved name spaces: ambiguous output is qualified; support
  6010 for hiding of names;
  6011 
  6012 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  6013 XSYMBOL_HOME; no longer need to do manual configuration in most
  6014 situations;
  6015 
  6016 * system: compression of ML heaps images may now be controlled via -c
  6017 option of isabelle and isatool usedir (currently only observed by
  6018 Poly/ML);
  6019 
  6020 * system: isatool installfonts may handle X-Symbol fonts as well (very
  6021 useful for remote X11);
  6022 
  6023 * system: provide TAGS file for Isabelle sources;
  6024 
  6025 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  6026 order;
  6027 
  6028 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  6029 timing flag supersedes proof_timing and Toplevel.trace;
  6030 
  6031 * ML: new combinators |>> and |>>> for incremental transformations
  6032 with secondary results (e.g. certain theory extensions):
  6033 
  6034 * ML: PureThy.add_defs gets additional argument to indicate potential
  6035 overloading (usually false);
  6036 
  6037 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  6038 results;
  6039 
  6040 
  6041 
  6042 New in Isabelle99 (October 1999)
  6043 --------------------------------
  6044 
  6045 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6046 
  6047 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  6048 are no longer simplified.  (This allows the simplifier to unfold recursive
  6049 functional programs.)  To restore the old behaviour, declare
  6050 
  6051     Delcongs [if_weak_cong];
  6052 
  6053 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  6054 complement;
  6055 
  6056 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  6057 
  6058 * HOL/datatype: mutual_induct_tac no longer exists --
  6059   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  6060 
  6061 * HOL/typedef: fixed type inference for representing set; type
  6062 arguments now have to occur explicitly on the rhs as type constraints;
  6063 
  6064 * ZF: The con_defs part of an inductive definition may no longer refer
  6065 to constants declared in the same theory;
  6066 
  6067 * HOL, ZF: the function mk_cases, generated by the inductive
  6068 definition package, has lost an argument.  To simplify its result, it
  6069 uses the default simpset instead of a supplied list of theorems.
  6070 
  6071 * HOL/List: the constructors of type list are now Nil and Cons;
  6072 
  6073 * Simplifier: the type of the infix ML functions
  6074         setSSolver addSSolver setSolver addSolver
  6075 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  6076 for packaging solvers. A solver is created via
  6077         mk_solver: string -> (thm list -> int -> tactic) -> solver
  6078 where the string argument is only a comment.
  6079 
  6080 
  6081 *** Proof tools ***
  6082 
  6083 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  6084 decision procedure for linear arithmetic. Currently it is used for
  6085 types `nat', `int', and `real' in HOL (see below); it can, should and
  6086 will be instantiated for other types and logics as well.
  6087 
  6088 * The simplifier now accepts rewrite rules with flexible heads, eg
  6089      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  6090   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  6091   matching.
  6092 
  6093 
  6094 *** General ***
  6095 
  6096 * New Isabelle/Isar subsystem provides an alternative to traditional
  6097 tactical theorem proving; together with the ProofGeneral/isar user
  6098 interface it offers an interactive environment for developing human
  6099 readable proof documents (Isar == Intelligible semi-automated
  6100 reasoning); for further information see isatool doc isar-ref,
  6101 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  6102 
  6103 * improved and simplified presentation of theories: better HTML markup
  6104 (including colors), graph views in several sizes; isatool usedir now
  6105 provides a proper interface for user theories (via -P option); actual
  6106 document preparation based on (PDF)LaTeX is available as well (for
  6107 new-style theories only); see isatool doc system for more information;
  6108 
  6109 * native support for Proof General, both for classic Isabelle and
  6110 Isabelle/Isar;
  6111 
  6112 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  6113 using the graph browser tool;
  6114 
  6115 * Isabelle manuals now also available as PDF;
  6116 
  6117 * theory loader rewritten from scratch (may not be fully
  6118 bug-compatible); old loadpath variable has been replaced by show_path,
  6119 add_path, del_path, reset_path functions; new operations such as
  6120 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  6121 isatool doc ref);
  6122 
  6123 * improved isatool install: option -k creates KDE application icon,
  6124 option -p DIR installs standalone binaries;
  6125 
  6126 * added ML_PLATFORM setting (useful for cross-platform installations);
  6127 more robust handling of platform specific ML images for SML/NJ;
  6128 
  6129 * the settings environment is now statically scoped, i.e. it is never
  6130 created again in sub-processes invoked from isabelle, isatool, or
  6131 Isabelle;
  6132 
  6133 * path element specification '~~' refers to '$ISABELLE_HOME';
  6134 
  6135 * in locales, the "assumes" and "defines" parts may be omitted if
  6136 empty;
  6137 
  6138 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  6139 long arrows);
  6140 
  6141 * new print_mode "HTML";
  6142 
  6143 * new flag show_tags controls display of tags of theorems (which are
  6144 basically just comments that may be attached by some tools);
  6145 
  6146 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  6147 mode and goal output format:
  6148 
  6149 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  6150 244c244
  6151 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  6152 ---
  6153 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  6154 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  6155 181c181
  6156 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  6157 ---
  6158 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  6159 
  6160 * function bind_thms stores lists of theorems (cf. bind_thm);
  6161 
  6162 * new shorthand tactics ftac, eatac, datac, fatac;
  6163 
  6164 * qed (and friends) now accept "" as result name; in that case the
  6165 theorem is not stored, but proper checks and presentation of the
  6166 result still apply;
  6167 
  6168 * theorem database now also indexes constants "Trueprop", "all",
  6169 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  6170 
  6171 
  6172 *** HOL ***
  6173 
  6174 ** HOL arithmetic **
  6175 
  6176 * There are now decision procedures for linear arithmetic over nat and
  6177 int:
  6178 
  6179 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  6180 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  6181 are treated as atomic; subformulae not involving type `nat' or `int'
  6182 are ignored; quantified subformulae are ignored unless they are
  6183 positive universal or negative existential. The tactic has to be
  6184 invoked by hand and can be a little bit slow. In particular, the
  6185 running time is exponential in the number of occurrences of `min' and
  6186 `max', and `-' on `nat'.
  6187 
  6188 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  6189 (negated) (in)equalities among the premises and the conclusion into
  6190 account (i.e. no compound formulae) and does not know about `min' and
  6191 `max', and `-' on `nat'. It is fast and is used automatically by the
  6192 simplifier.
  6193 
  6194 NB: At the moment, these decision procedures do not cope with mixed
  6195 nat/int formulae where the two parts interact, such as `m < n ==>
  6196 int(m) < int(n)'.
  6197 
  6198 * HOL/Numeral provides a generic theory of numerals (encoded
  6199 efficiently as bit strings); setup for types nat/int/real is in place;
  6200 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  6201 int, existing theories and proof scripts may require a few additional
  6202 type constraints;
  6203 
  6204 * integer division and remainder can now be performed on constant
  6205 arguments;
  6206 
  6207 * many properties of integer multiplication, division and remainder
  6208 are now available;
  6209 
  6210 * An interface to the Stanford Validity Checker (SVC) is available through the
  6211 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  6212 are proved automatically.  SVC must be installed separately, and its results
  6213 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  6214 invocation of the underlying oracle).  For SVC see
  6215   http://verify.stanford.edu/SVC
  6216 
  6217 * IsaMakefile: the HOL-Real target now builds an actual image;
  6218 
  6219 
  6220 ** HOL misc **
  6221 
  6222 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  6223 (in Isabelle/Isar) -- by Gertrud Bauer;
  6224 
  6225 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  6226 analysis for assembly languages with subtypes;
  6227 
  6228 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  6229 -- avoids syntactic ambiguities and treats state, transition, and
  6230 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  6231 changed syntax and (many) tactics;
  6232 
  6233 * HOL/inductive: Now also handles more general introduction rules such
  6234   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6235   theorems are now maintained within the theory (maintained via the
  6236   "mono" attribute);
  6237 
  6238 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6239   (using function types) such as
  6240 
  6241   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6242 
  6243 * HOL/record: record_simproc (part of the default simpset) takes care
  6244 of selectors applied to updated records; record_split_tac is no longer
  6245 part of the default claset; update_defs may now be removed from the
  6246 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6247 
  6248   claset_ref () := claset() addSWrapper record_split_wrapper;
  6249   Delsimprocs [record_simproc]
  6250 
  6251 * HOL/typedef: fixed type inference for representing set; type
  6252 arguments now have to occur explicitly on the rhs as type constraints;
  6253 
  6254 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6255 names rather than an ML expression;
  6256 
  6257 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6258 supplied later.  Program schemes can be defined, such as
  6259     "While B C s = (if B s then While B C (C s) else s)"
  6260 where the well-founded relation can be chosen after B and C have been given.
  6261 
  6262 * HOL/List: the constructors of type list are now Nil and Cons;
  6263 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6264 course, ML tools referring to List.list.op # etc. have to be adapted;
  6265 
  6266 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6267 disabled by default; run isabelle with option -m HOL to get back to
  6268 the original Gordon/HOL-style output;
  6269 
  6270 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6271 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6272 
  6273 * HOL basic syntax simplified (more orthogonal): all variants of
  6274 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6275 Eps operator is provided as well: "SOME x. P[x]";
  6276 
  6277 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6278 
  6279 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  6280 thus available for user theories;
  6281 
  6282 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  6283 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  6284 time;
  6285 
  6286 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  6287 several times and then mp;
  6288 
  6289 
  6290 *** LK ***
  6291 
  6292 * the notation <<...>> is now available as a notation for sequences of
  6293 formulas;
  6294 
  6295 * the simplifier is now installed
  6296 
  6297 * the axiom system has been generalized (thanks to Soren Heilmann)
  6298 
  6299 * the classical reasoner now has a default rule database
  6300 
  6301 
  6302 *** ZF ***
  6303 
  6304 * new primrec section allows primitive recursive functions to be given
  6305 directly (as in HOL) over datatypes and the natural numbers;
  6306 
  6307 * new tactics induct_tac and exhaust_tac for induction (or case
  6308 analysis) over datatypes and the natural numbers;
  6309 
  6310 * the datatype declaration of type T now defines the recursor T_rec;
  6311 
  6312 * simplification automatically does freeness reasoning for datatype
  6313 constructors;
  6314 
  6315 * automatic type-inference, with AddTCs command to insert new
  6316 type-checking rules;
  6317 
  6318 * datatype introduction rules are now added as Safe Introduction rules
  6319 to the claset;
  6320 
  6321 * the syntax "if P then x else y" is now available in addition to
  6322 if(P,x,y);
  6323 
  6324 
  6325 *** Internal programming interfaces ***
  6326 
  6327 * tuned simplifier trace output; new flag debug_simp;
  6328 
  6329 * structures Vartab / Termtab (instances of TableFun) offer efficient
  6330 tables indexed by indexname_ord / term_ord (compatible with aconv);
  6331 
  6332 * AxClass.axclass_tac lost the theory argument;
  6333 
  6334 * tuned current_goals_markers semantics: begin / end goal avoids
  6335 printing empty lines;
  6336 
  6337 * removed prs and prs_fn hook, which was broken because it did not
  6338 include \n in its semantics, forcing writeln to add one
  6339 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  6340 string -> unit if you really want to output text without newline;
  6341 
  6342 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  6343 plain output, interface builders may have to enable 'isabelle_font'
  6344 mode to get Isabelle font glyphs as before;
  6345 
  6346 * refined token_translation interface; INCOMPATIBILITY: output length
  6347 now of type real instead of int;
  6348 
  6349 * theory loader actions may be traced via new ThyInfo.add_hook
  6350 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  6351 your own database of information attached to *whole* theories -- as
  6352 opposed to intra-theory data slots offered via TheoryDataFun;
  6353 
  6354 * proper handling of dangling sort hypotheses (at last!);
  6355 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  6356 extra sort hypotheses that can be witnessed from the type signature;
  6357 the force_strip_shyps flag is gone, any remaining shyps are simply
  6358 left in the theorem (with a warning issued by strip_shyps_warning);
  6359 
  6360 
  6361 
  6362 New in Isabelle98-1 (October 1998)
  6363 ----------------------------------
  6364 
  6365 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6366 
  6367 * several changes of automated proof tools;
  6368 
  6369 * HOL: major changes to the inductive and datatype packages, including
  6370 some minor incompatibilities of theory syntax;
  6371 
  6372 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  6373 called `inj_on';
  6374 
  6375 * HOL: removed duplicate thms in Arith:
  6376   less_imp_add_less  should be replaced by  trans_less_add1
  6377   le_imp_add_le      should be replaced by  trans_le_add1
  6378 
  6379 * HOL: unary minus is now overloaded (new type constraints may be
  6380 required);
  6381 
  6382 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  6383 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  6384 now taken as an integer constant.
  6385 
  6386 * Pure: ML function 'theory_of' renamed to 'theory';
  6387 
  6388 
  6389 *** Proof tools ***
  6390 
  6391 * Simplifier:
  6392   1. Asm_full_simp_tac is now more aggressive.
  6393      1. It will sometimes reorient premises if that increases their power to
  6394         simplify.
  6395      2. It does no longer proceed strictly from left to right but may also
  6396         rotate premises to achieve further simplification.
  6397      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  6398      old Asm_full_simp_tac in that it does not rotate premises.
  6399   2. The simplifier now knows a little bit about nat-arithmetic.
  6400 
  6401 * Classical reasoner: wrapper mechanism for the classical reasoner now
  6402 allows for selected deletion of wrappers, by introduction of names for
  6403 wrapper functionals.  This implies that addbefore, addSbefore,
  6404 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  6405 and that adding two tactics with the same name overwrites the first
  6406 one (emitting a warning).
  6407   type wrapper = (int -> tactic) -> (int -> tactic)
  6408   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  6409   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  6410   delWrapper, delSWrapper: claset *  string            -> claset
  6411   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  6412 
  6413 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  6414 semantics; addbefore now affects only the unsafe part of step_tac
  6415 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  6416 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  6417 by Force_tac;
  6418 
  6419 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  6420 compWrapper; added safe wrapper (and access functions for it);
  6421 
  6422 * HOL/split_all_tac is now much faster and fails if there is nothing
  6423 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  6424 and the names of the automatically generated variables have changed.
  6425 split_all_tac has moved within claset() from unsafe wrappers to safe
  6426 wrappers, which means that !!-bound variables are split much more
  6427 aggressively, and safe_tac and clarify_tac now split such variables.
  6428 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  6429 Note: the same holds for record_split_tac, which does the job of
  6430 split_all_tac for record fields.
  6431 
  6432 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  6433 permanently to the default simpset using Addsplits just like
  6434 Addsimps. They can be removed via Delsplits just like
  6435 Delsimps. Lower-case versions are also available.
  6436 
  6437 * HOL/Simplifier: The rule split_if is now part of the default
  6438 simpset. This means that the simplifier will eliminate all occurrences
  6439 of if-then-else in the conclusion of a goal. To prevent this, you can
  6440 either remove split_if completely from the default simpset by
  6441 `Delsplits [split_if]' or remove it in a specific call of the
  6442 simplifier using `... delsplits [split_if]'.  You can also add/delete
  6443 other case splitting rules to/from the default simpset: every datatype
  6444 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  6445 t is the name of the datatype).
  6446 
  6447 * Classical reasoner / Simplifier combination: new force_tac (and
  6448 derivatives Force_tac, force) combines rewriting and classical
  6449 reasoning (and whatever other tools) similarly to auto_tac, but is
  6450 aimed to solve the given subgoal completely.
  6451 
  6452 
  6453 *** General ***
  6454 
  6455 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  6456 and `goalw': the theory is no longer needed as an explicit argument -
  6457 the current theory context is used; assumptions are no longer returned
  6458 at the ML-level unless one of them starts with ==> or !!; it is
  6459 recommended to convert to these new commands using isatool fixgoal
  6460 (backup your sources first!);
  6461 
  6462 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  6463 the current theory context, and 'theory' to lookup stored theories;
  6464 
  6465 * new theory section 'locale' for declaring constants, assumptions and
  6466 definitions that have local scope;
  6467 
  6468 * new theory section 'nonterminals' for purely syntactic types;
  6469 
  6470 * new theory section 'setup' for generic ML setup functions
  6471 (e.g. package initialization);
  6472 
  6473 * the distribution now includes Isabelle icons: see
  6474 lib/logo/isabelle-{small,tiny}.xpm;
  6475 
  6476 * isatool install - install binaries with absolute references to
  6477 ISABELLE_HOME/bin;
  6478 
  6479 * isatool logo -- create instances of the Isabelle logo (as EPS);
  6480 
  6481 * print mode 'emacs' reserved for Isamode;
  6482 
  6483 * support multiple print (ast) translations per constant name;
  6484 
  6485 * theorems involving oracles are now printed with a suffixed [!];
  6486 
  6487 
  6488 *** HOL ***
  6489 
  6490 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  6491 
  6492 * HOL/inductive package reorganized and improved: now supports mutual
  6493 definitions such as
  6494 
  6495   inductive EVEN ODD
  6496     intrs
  6497       null "0 : EVEN"
  6498       oddI "n : EVEN ==> Suc n : ODD"
  6499       evenI "n : ODD ==> Suc n : EVEN"
  6500 
  6501 new theorem list "elims" contains an elimination rule for each of the
  6502 recursive sets; inductive definitions now handle disjunctive premises
  6503 correctly (also ZF);
  6504 
  6505 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  6506 "mutual_induct" no longer exists - the induction rule is always
  6507 contained in "induct";
  6508 
  6509 
  6510 * HOL/datatype package re-implemented and greatly improved: now
  6511 supports mutually recursive datatypes such as
  6512 
  6513   datatype
  6514     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  6515             | SUM ('a aexp) ('a aexp)
  6516             | DIFF ('a aexp) ('a aexp)
  6517             | NUM 'a
  6518   and
  6519     'a bexp = LESS ('a aexp) ('a aexp)
  6520             | AND ('a bexp) ('a bexp)
  6521             | OR ('a bexp) ('a bexp)
  6522 
  6523 as well as indirectly recursive datatypes such as
  6524 
  6525   datatype
  6526     ('a, 'b) term = Var 'a
  6527                   | App 'b ((('a, 'b) term) list)
  6528 
  6529 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  6530 induction on mutually / indirectly recursive datatypes.
  6531 
  6532 Primrec equations are now stored in theory and can be accessed via
  6533 <function_name>.simps.
  6534 
  6535 INCOMPATIBILITIES:
  6536 
  6537   - Theories using datatypes must now have theory Datatype as an
  6538     ancestor.
  6539   - The specific <typename>.induct_tac no longer exists - use the
  6540     generic induct_tac instead.
  6541   - natE has been renamed to nat.exhaust - use exhaust_tac
  6542     instead of res_inst_tac ... natE. Note that the variable
  6543     names in nat.exhaust differ from the names in natE, this
  6544     may cause some "fragile" proofs to fail.
  6545   - The theorems split_<typename>_case and split_<typename>_case_asm
  6546     have been renamed to <typename>.split and <typename>.split_asm.
  6547   - Since default sorts of type variables are now handled correctly,
  6548     some datatype definitions may have to be annotated with explicit
  6549     sort constraints.
  6550   - Primrec definitions no longer require function name and type
  6551     of recursive argument.
  6552 
  6553 Consider using isatool fixdatatype to adapt your theories and proof
  6554 scripts to the new package (backup your sources first!).
  6555 
  6556 
  6557 * HOL/record package: considerably improved implementation; now
  6558 includes concrete syntax for record types, terms, updates; theorems
  6559 for surjective pairing and splitting !!-bound record variables; proof
  6560 support is as follows:
  6561 
  6562   1) standard conversions (selectors or updates applied to record
  6563 constructor terms) are part of the standard simpset;
  6564 
  6565   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  6566 made part of standard simpset and claset via addIffs;
  6567 
  6568   3) a tactic for record field splitting (record_split_tac) is part of
  6569 the standard claset (addSWrapper);
  6570 
  6571 To get a better idea about these rules you may retrieve them via
  6572 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  6573 the name of your record type.
  6574 
  6575 The split tactic 3) conceptually simplifies by the following rule:
  6576 
  6577   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  6578 
  6579 Thus any record variable that is bound by meta-all will automatically
  6580 blow up into some record constructor term, consequently the
  6581 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  6582 solve record problems automatically.
  6583 
  6584 
  6585 * reorganized the main HOL image: HOL/Integ and String loaded by
  6586 default; theory Main includes everything;
  6587 
  6588 * automatic simplification of integer sums and comparisons, using cancellation;
  6589 
  6590 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  6591 
  6592 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  6593 
  6594 * many new identities for unions, intersections, set difference, etc.;
  6595 
  6596 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  6597 called split_if, split_split, split_sum_case and split_nat_case (to go
  6598 with add/delsplits);
  6599 
  6600 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  6601 (?x::unit) = (); this is made part of the default simpset, which COULD
  6602 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  6603 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  6604 unit_abs_eta_conv is added in order to counter the effect of
  6605 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  6606 %u.f();
  6607 
  6608 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  6609 makes more sense);
  6610 
  6611 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6612   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6613   disjointness reasoning but breaking a few old proofs.
  6614 
  6615 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  6616 to 'converse' from 'inverse' (for compatibility with ZF and some
  6617 literature);
  6618 
  6619 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  6620 the well-founded relation;
  6621 
  6622 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  6623     Compl A.  The "Compl" syntax remains available as input syntax for this
  6624     release ONLY.
  6625 
  6626 * HOL/Update: new theory of function updates:
  6627     f(a:=b) == %x. if x=a then b else f x
  6628 may also be iterated as in f(a:=b,c:=d,...);
  6629 
  6630 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  6631 
  6632 * HOL/List:
  6633   - new function list_update written xs[i:=v] that updates the i-th
  6634     list position. May also be iterated as in xs[i:=a,j:=b,...].
  6635   - new function `upt' written [i..j(] which generates the list
  6636     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  6637     bound write [i..j], which is a shorthand for [i..j+1(].
  6638   - new lexicographic orderings and corresponding wellfoundedness theorems.
  6639 
  6640 * HOL/Arith:
  6641   - removed 'pred' (predecessor) function;
  6642   - generalized some theorems about n-1;
  6643   - many new laws about "div" and "mod";
  6644   - new laws about greatest common divisors (see theory ex/Primes);
  6645 
  6646 * HOL/Relation: renamed the relational operator r^-1 "converse"
  6647 instead of "inverse";
  6648 
  6649 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  6650   of the multiset ordering;
  6651 
  6652 * directory HOL/Real: a construction of the reals using Dedekind cuts
  6653   (not included by default);
  6654 
  6655 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  6656 
  6657 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  6658   programs, i.e. different program variables may have different types.
  6659 
  6660 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6661   [previously, this check worked only if the rewrite rule was unconditional]
  6662   Now rew can involve either definitions or equalities (either == or =).
  6663 
  6664 
  6665 *** ZF ***
  6666 
  6667 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  6668   only the theorems proved on ZF.ML;
  6669 
  6670 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6671   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6672   disjointness reasoning but breaking a few old proofs.
  6673 
  6674 * ZF/Update: new theory of function updates
  6675     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  6676   may also be iterated as in f(a:=b,c:=d,...);
  6677 
  6678 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  6679 
  6680 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6681   [previously, this check worked only if the rewrite rule was unconditional]
  6682   Now rew can involve either definitions or equalities (either == or =).
  6683 
  6684 * case_tac provided for compatibility with HOL
  6685     (like the old excluded_middle_tac, but with subgoals swapped)
  6686 
  6687 
  6688 *** Internal programming interfaces ***
  6689 
  6690 * Pure: several new basic modules made available for general use, see
  6691 also src/Pure/README;
  6692 
  6693 * improved the theory data mechanism to support encapsulation (data
  6694 kind name replaced by private Object.kind, acting as authorization
  6695 key); new type-safe user interface via functor TheoryDataFun; generic
  6696 print_data function becomes basically useless;
  6697 
  6698 * removed global_names compatibility flag -- all theory declarations
  6699 are qualified by default;
  6700 
  6701 * module Pure/Syntax now offers quote / antiquote translation
  6702 functions (useful for Hoare logic etc. with implicit dependencies);
  6703 see HOL/ex/Antiquote for an example use;
  6704 
  6705 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  6706 cterm -> thm;
  6707 
  6708 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  6709 subgoal;
  6710 
  6711 * Display.print_goals function moved to Locale.print_goals;
  6712 
  6713 * standard print function for goals supports current_goals_markers
  6714 variable for marking begin of proof, end of proof, start of goal; the
  6715 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  6716 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  6717 for example;
  6718 
  6719 
  6720 
  6721 New in Isabelle98 (January 1998)
  6722 --------------------------------
  6723 
  6724 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6725 
  6726 * changed lexical syntax of terms / types: dots made part of long
  6727 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  6728 
  6729 * simpset (and claset) reference variable replaced by functions
  6730 simpset / simpset_ref;
  6731 
  6732 * no longer supports theory aliases (via merge) and non-trivial
  6733 implicit merge of thms' signatures;
  6734 
  6735 * most internal names of constants changed due to qualified names;
  6736 
  6737 * changed Pure/Sequence interface (see Pure/seq.ML);
  6738 
  6739 
  6740 *** General Changes ***
  6741 
  6742 * hierachically structured name spaces (for consts, types, axms, thms
  6743 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  6744 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  6745 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  6746 long_names for fully qualified output names; NOTE: ML programs
  6747 (special tactics, packages etc.) referring to internal names may have
  6748 to be adapted to cope with fully qualified names; in case of severe
  6749 backward campatibility problems try setting 'global_names' at compile
  6750 time to have enrything declared within a flat name space; one may also
  6751 fine tune name declarations in theories via the 'global' and 'local'
  6752 section;
  6753 
  6754 * reimplemented the implicit simpset and claset using the new anytype
  6755 data filed in signatures; references simpset:simpset ref etc. are
  6756 replaced by functions simpset:unit->simpset and
  6757 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  6758 to patch your ML files accordingly;
  6759 
  6760 * HTML output now includes theory graph data for display with Java
  6761 applet or isatool browser; data generated automatically via isatool
  6762 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  6763 
  6764 * defs may now be conditional; improved rewrite_goals_tac to handle
  6765 conditional equations;
  6766 
  6767 * defs now admits additional type arguments, using TYPE('a) syntax;
  6768 
  6769 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  6770 creates a new theory node; implicit merge of thms' signatures is
  6771 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  6772 transfer:theory->thm->thm in (rare) cases;
  6773 
  6774 * improved handling of draft signatures / theories; draft thms (and
  6775 ctyps, cterms) are automatically promoted to real ones;
  6776 
  6777 * slightly changed interfaces for oracles: admit many per theory, named
  6778 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  6779 
  6780 * print_goals: optional output of const types (set show_consts and
  6781 show_types);
  6782 
  6783 * improved output of warnings (###) and errors (***);
  6784 
  6785 * subgoal_tac displays a warning if the new subgoal has type variables;
  6786 
  6787 * removed old README and Makefiles;
  6788 
  6789 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  6790 
  6791 * removed obsolete init_pps and init_database;
  6792 
  6793 * deleted the obsolete tactical STATE, which was declared by
  6794     fun STATE tacfun st = tacfun st st;
  6795 
  6796 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  6797 (which abbreviates $HOME);
  6798 
  6799 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  6800 use isatool fixseq to adapt your ML programs (this works for fully
  6801 qualified references to the Sequence structure only!);
  6802 
  6803 * use_thy no longer requires writable current directory; it always
  6804 reloads .ML *and* .thy file, if either one is out of date;
  6805 
  6806 
  6807 *** Classical Reasoner ***
  6808 
  6809 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  6810 tactics that use classical reasoning to simplify a subgoal without
  6811 splitting it into several subgoals;
  6812 
  6813 * Safe_tac: like safe_tac but uses the default claset;
  6814 
  6815 
  6816 *** Simplifier ***
  6817 
  6818 * added simplification meta rules:
  6819     (asm_)(full_)simplify: simpset -> thm -> thm;
  6820 
  6821 * simplifier.ML no longer part of Pure -- has to be loaded by object
  6822 logics (again);
  6823 
  6824 * added prems argument to simplification procedures;
  6825 
  6826 * HOL, FOL, ZF: added infix function `addsplits':
  6827   instead of `<simpset> setloop (split_tac <thms>)'
  6828   you can simply write `<simpset> addsplits <thms>'
  6829 
  6830 
  6831 *** Syntax ***
  6832 
  6833 * TYPE('a) syntax for type reflection terms;
  6834 
  6835 * no longer handles consts with name "" -- declare as 'syntax' instead;
  6836 
  6837 * pretty printer: changed order of mixfix annotation preference (again!);
  6838 
  6839 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  6840 
  6841 
  6842 *** HOL ***
  6843 
  6844 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6845   with `addloop' of the simplifier to faciliate case splitting in premises.
  6846 
  6847 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  6848 
  6849 * HOL/Auth: new protocol proofs including some for the Internet
  6850   protocol TLS;
  6851 
  6852 * HOL/Map: new theory of `maps' a la VDM;
  6853 
  6854 * HOL/simplifier: simplification procedures nat_cancel_sums for
  6855 cancelling out common nat summands from =, <, <= (in)equalities, or
  6856 differences; simplification procedures nat_cancel_factor for
  6857 cancelling common factor from =, <, <= (in)equalities over natural
  6858 sums; nat_cancel contains both kinds of procedures, it is installed by
  6859 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  6860 
  6861 * HOL/simplifier: terms of the form
  6862   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  6863   are rewritten to
  6864   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  6865   and those of the form
  6866   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  6867   are rewritten to
  6868   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  6869 
  6870 * HOL/datatype
  6871   Each datatype `t' now comes with a theorem `split_t_case' of the form
  6872 
  6873   P(t_case f1 ... fn x) =
  6874      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  6875         ...
  6876        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  6877      )
  6878 
  6879   and a theorem `split_t_case_asm' of the form
  6880 
  6881   P(t_case f1 ... fn x) =
  6882     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  6883         ...
  6884        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  6885      )
  6886   which can be added to a simpset via `addsplits'. The existing theorems
  6887   expand_list_case and expand_option_case have been renamed to
  6888   split_list_case and split_option_case.
  6889 
  6890 * HOL/Arithmetic:
  6891   - `pred n' is automatically converted to `n-1'.
  6892     Users are strongly encouraged not to use `pred' any longer,
  6893     because it will disappear altogether at some point.
  6894   - Users are strongly encouraged to write "0 < n" rather than
  6895     "n ~= 0". Theorems and proof tools have been modified towards this
  6896     `standard'.
  6897 
  6898 * HOL/Lists:
  6899   the function "set_of_list" has been renamed "set" (and its theorems too);
  6900   the function "nth" now takes its arguments in the reverse order and
  6901   has acquired the infix notation "!" as in "xs!n".
  6902 
  6903 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  6904 
  6905 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  6906   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  6907 
  6908 * HOL/record: extensible records with schematic structural subtyping
  6909 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  6910 still lacks various theorems and concrete record syntax;
  6911 
  6912 
  6913 *** HOLCF ***
  6914 
  6915 * removed "axioms" and "generated by" sections;
  6916 
  6917 * replaced "ops" section by extended "consts" section, which is capable of
  6918   handling the continuous function space "->" directly;
  6919 
  6920 * domain package:
  6921   . proves theorems immediately and stores them in the theory,
  6922   . creates hierachical name space,
  6923   . now uses normal mixfix annotations (instead of cinfix...),
  6924   . minor changes to some names and values (for consistency),
  6925   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  6926   . separator between mutual domain defs: changed "," to "and",
  6927   . improved handling of sort constraints;  now they have to
  6928     appear on the left-hand side of the equations only;
  6929 
  6930 * fixed LAM <x,y,zs>.b syntax;
  6931 
  6932 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  6933 adm (%x. P (t x)), where P is chainfinite and t continuous;
  6934 
  6935 
  6936 *** FOL and ZF ***
  6937 
  6938 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6939   with `addloop' of the simplifier to faciliate case splitting in premises.
  6940 
  6941 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  6942 in HOL, they strip ALL and --> from proved theorems;
  6943 
  6944 
  6945 
  6946 New in Isabelle94-8 (May 1997)
  6947 ------------------------------
  6948 
  6949 *** General Changes ***
  6950 
  6951 * new utilities to build / run / maintain Isabelle etc. (in parts
  6952 still somewhat experimental); old Makefiles etc. still functional;
  6953 
  6954 * new 'Isabelle System Manual';
  6955 
  6956 * INSTALL text, together with ./configure and ./build scripts;
  6957 
  6958 * reimplemented type inference for greater efficiency, better error
  6959 messages and clean internal interface;
  6960 
  6961 * prlim command for dealing with lots of subgoals (an easier way of
  6962 setting goals_limit);
  6963 
  6964 
  6965 *** Syntax ***
  6966 
  6967 * supports alternative (named) syntax tables (parser and pretty
  6968 printer); internal interface is provided by add_modesyntax(_i);
  6969 
  6970 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  6971 be used in conjunction with the Isabelle symbol font; uses the
  6972 "symbols" syntax table;
  6973 
  6974 * added token_translation interface (may translate name tokens in
  6975 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  6976 the current print_mode); IMPORTANT: user print translation functions
  6977 are responsible for marking newly introduced bounds
  6978 (Syntax.mark_boundT);
  6979 
  6980 * token translations for modes "xterm" and "xterm_color" that display
  6981 names in bold, underline etc. or colors (which requires a color
  6982 version of xterm);
  6983 
  6984 * infixes may now be declared with names independent of their syntax;
  6985 
  6986 * added typed_print_translation (like print_translation, but may
  6987 access type of constant);
  6988 
  6989 
  6990 *** Classical Reasoner ***
  6991 
  6992 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  6993 some limitations.  Blast_tac...
  6994   + ignores addss, addbefore, addafter; this restriction is intrinsic
  6995   + ignores elimination rules that don't have the correct format
  6996         (the conclusion MUST be a formula variable)
  6997   + ignores types, which can make HOL proofs fail
  6998   + rules must not require higher-order unification, e.g. apply_type in ZF
  6999     [message "Function Var's argument not a bound variable" relates to this]
  7000   + its proof strategy is more general but can actually be slower
  7001 
  7002 * substitution with equality assumptions no longer permutes other
  7003 assumptions;
  7004 
  7005 * minor changes in semantics of addafter (now called addaltern); renamed
  7006 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  7007 (and access functions for it);
  7008 
  7009 * improved combination of classical reasoner and simplifier:
  7010   + functions for handling clasimpsets
  7011   + improvement of addss: now the simplifier is called _after_ the
  7012     safe steps.
  7013   + safe variant of addss called addSss: uses safe simplifications
  7014     _during_ the safe steps. It is more complete as it allows multiple
  7015     instantiations of unknowns (e.g. with slow_tac).
  7016 
  7017 *** Simplifier ***
  7018 
  7019 * added interface for simplification procedures (functions that
  7020 produce *proven* rewrite rules on the fly, depending on current
  7021 redex);
  7022 
  7023 * ordering on terms as parameter (used for ordered rewriting);
  7024 
  7025 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  7026 
  7027 * the solver is now split into a safe and an unsafe part.
  7028 This should be invisible for the normal user, except that the
  7029 functions setsolver and addsolver have been renamed to setSolver and
  7030 addSolver; added safe_asm_full_simp_tac;
  7031 
  7032 
  7033 *** HOL ***
  7034 
  7035 * a generic induction tactic `induct_tac' which works for all datatypes and
  7036 also for type `nat';
  7037 
  7038 * a generic case distinction tactic `exhaust_tac' which works for all
  7039 datatypes and also for type `nat';
  7040 
  7041 * each datatype comes with a function `size';
  7042 
  7043 * patterns in case expressions allow tuple patterns as arguments to
  7044 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  7045 
  7046 * primrec now also works with type nat;
  7047 
  7048 * recdef: a new declaration form, allows general recursive functions to be
  7049 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  7050 
  7051 * the constant for negation has been renamed from "not" to "Not" to
  7052 harmonize with FOL, ZF, LK, etc.;
  7053 
  7054 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  7055 infinite lists;
  7056 
  7057 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  7058 
  7059 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  7060 problems in commutative rings, using axiomatic type classes for + and *;
  7061 
  7062 * more examples in HOL/MiniML and HOL/Auth;
  7063 
  7064 * more default rewrite rules for quantifiers, union/intersection;
  7065 
  7066 * a new constant `arbitrary == @x.False';
  7067 
  7068 * HOLCF/IOA replaces old HOL/IOA;
  7069 
  7070 * HOLCF changes: derived all rules and arities
  7071   + axiomatic type classes instead of classes
  7072   + typedef instead of faking type definitions
  7073   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  7074   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  7075   + eliminated the types void, one, tr
  7076   + use unit lift and bool lift (with translations) instead of one and tr
  7077   + eliminated blift from Lift3.thy (use Def instead of blift)
  7078   all eliminated rules are derived as theorems --> no visible changes ;
  7079 
  7080 
  7081 *** ZF ***
  7082 
  7083 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  7084 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  7085 as ZF_cs addSIs [equalityI];
  7086 
  7087 
  7088 
  7089 New in Isabelle94-7 (November 96)
  7090 ---------------------------------
  7091 
  7092 * allowing negative levels (as offsets) in prlev and choplev;
  7093 
  7094 * super-linear speedup for large simplifications;
  7095 
  7096 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  7097 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  7098 FAIL); can suppress it using the command Delsimps (ex_simps @
  7099 all_simps); De Morgan laws are also now included, by default;
  7100 
  7101 * improved printing of ==>  :  ~:
  7102 
  7103 * new object-logic "Sequents" adds linear logic, while replacing LK
  7104 and Modal (thanks to Sara Kalvala);
  7105 
  7106 * HOL/Auth: correctness proofs for authentication protocols;
  7107 
  7108 * HOL: new auto_tac combines rewriting and classical reasoning (many
  7109 examples on HOL/Auth);
  7110 
  7111 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  7112 the rewriter and classical reasoner simultaneously;
  7113 
  7114 * function uresult no longer returns theorems in "standard" format;
  7115 regain previous version by: val uresult = standard o uresult;
  7116 
  7117 
  7118 
  7119 New in Isabelle94-6
  7120 -------------------
  7121 
  7122 * oracles -- these establish an interface between Isabelle and trusted
  7123 external reasoners, which may deliver results as theorems;
  7124 
  7125 * proof objects (in particular record all uses of oracles);
  7126 
  7127 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  7128 
  7129 * "constdefs" section in theory files;
  7130 
  7131 * "primrec" section (HOL) no longer requires names;
  7132 
  7133 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  7134 
  7135 
  7136 
  7137 New in Isabelle94-5
  7138 -------------------
  7139 
  7140 * reduced space requirements;
  7141 
  7142 * automatic HTML generation from theories;
  7143 
  7144 * theory files no longer require "..." (quotes) around most types;
  7145 
  7146 * new examples, including two proofs of the Church-Rosser theorem;
  7147 
  7148 * non-curried (1994) version of HOL is no longer distributed;
  7149 
  7150 
  7151 
  7152 New in Isabelle94-4
  7153 -------------------
  7154 
  7155 * greatly reduced space requirements;
  7156 
  7157 * theory files (.thy) no longer require \...\ escapes at line breaks;
  7158 
  7159 * searchable theorem database (see the section "Retrieving theorems" on
  7160 page 8 of the Reference Manual);
  7161 
  7162 * new examples, including Grabczewski's monumental case study of the
  7163 Axiom of Choice;
  7164 
  7165 * The previous version of HOL renamed to Old_HOL;
  7166 
  7167 * The new version of HOL (previously called CHOL) uses a curried syntax
  7168 for functions.  Application looks like f a b instead of f(a,b);
  7169 
  7170 * Mutually recursive inductive definitions finally work in HOL;
  7171 
  7172 * In ZF, pattern-matching on tuples is now available in all abstractions and
  7173 translates to the operator "split";
  7174 
  7175 
  7176 
  7177 New in Isabelle94-3
  7178 -------------------
  7179 
  7180 * new infix operator, addss, allowing the classical reasoner to
  7181 perform simplification at each step of its search.  Example:
  7182         fast_tac (cs addss ss)
  7183 
  7184 * a new logic, CHOL, the same as HOL, but with a curried syntax
  7185 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  7186 look like (a,b) instead of <a,b>;
  7187 
  7188 * PLEASE NOTE: CHOL will eventually replace HOL!
  7189 
  7190 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  7191 It translates to the operator "split".  A new theory of integers is available;
  7192 
  7193 * In ZF, integer numerals now denote two's-complement binary integers.
  7194 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  7195 
  7196 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  7197 of the Axiom of Choice;
  7198 
  7199 
  7200 
  7201 New in Isabelle94-2
  7202 -------------------
  7203 
  7204 * Significantly faster resolution;
  7205 
  7206 * the different sections in a .thy file can now be mixed and repeated
  7207 freely;
  7208 
  7209 * Database of theorems for FOL, HOL and ZF.  New
  7210 commands including qed, qed_goal and bind_thm store theorems in the database.
  7211 
  7212 * Simple database queries: return a named theorem (get_thm) or all theorems of
  7213 a given theory (thms_of), or find out what theory a theorem was proved in
  7214 (theory_of_thm);
  7215 
  7216 * Bugs fixed in the inductive definition and datatype packages;
  7217 
  7218 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  7219 and HOL_dup_cs obsolete;
  7220 
  7221 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  7222 have been removed;
  7223 
  7224 * Simpler definition of function space in ZF;
  7225 
  7226 * new results about cardinal and ordinal arithmetic in ZF;
  7227 
  7228 * 'subtype' facility in HOL for introducing new types as subsets of existing
  7229 types;
  7230 
  7231 :mode=text:wrap=hard:maxLineLen=72: