NEWS
author webertj
Tue, 10 Mar 2009 17:39:06 +0000
changeset 30409 9501af91c4a3
parent 30399 a4772a650b4e
child 30433 57c68b3af2ea
permissions -rw-r--r--
Instead of giving up entirely, arith now ignores all inequalities when there are too many.
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in this Isabelle version
     5 ----------------------------
     6 
     7 *** General ***
     8 
     9 * The main reference manuals (isar-ref, implementation, system) have
    10 been updated and extended.  Formally checked references as hyperlinks
    11 are now available in uniform manner.
    12 
    13 * Simplified main Isabelle executables, with less surprises on
    14 case-insensitive file-systems (such as Mac OS).
    15 
    16   - The main Isabelle tool wrapper is now called "isabelle" instead of
    17     "isatool."
    18 
    19   - The former "isabelle" alias for "isabelle-process" has been
    20     removed (should rarely occur to regular users).
    21 
    22   - The former "isabelle-interface" and its alias "Isabelle" have been
    23     removed (interfaces are now regular Isabelle tools).
    24 
    25 Within scripts and make files, the Isabelle environment variables
    26 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
    27 respectively.  (The latter are still available as legacy feature.)
    28 
    29 The old isabelle-interface wrapper could react in confusing ways if
    30 the interface was uninstalled or changed otherwise.  Individual
    31 interface tool configuration is now more explicit, see also the
    32 Isabelle system manual.  In particular, Proof General is now available
    33 via "isabelle emacs".
    34 
    35 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
    36 purge installed copies of Isabelle executables and re-run "isabelle
    37 install -p ...", or use symlinks.
    38 
    39 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
    40 old ~/isabelle, which was slightly non-standard and apt cause
    41 surprises on case-insensitive file-systems.
    42 
    43 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
    44 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
    45 care is required when using older releases of Isabelle.  Note that
    46 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
    47 Isabelle distribution.
    48 
    49 * Proofs of fully specified statements are run in parallel on
    50 multi-core systems.  A speedup factor of 2-3 can be expected on a
    51 regular 4-core machine, if the initial heap space is made reasonably
    52 large (cf. Poly/ML option -H).  [Poly/ML 5.2.1 or later]
    53 
    54 * Generalized Isar history, with support for linear undo, direct state
    55 addressing etc.
    56 
    57 * Recovered hiding of consts, which was accidentally broken in
    58 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
    59 makes c inaccessible; consider using ``hide (open) const c'' instead.
    60 
    61 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
    62 interface instead.
    63 
    64 * There is a new syntactic category "float_const" for signed decimal
    65 fractions (e.g. 123.45 or -123.45).
    66 
    67 * New prover for coherent logic (see src/Tools/coherent.ML).
    68 
    69 
    70 *** Pure ***
    71 
    72 * Class declaration: sc. "base sort" must not be given in import list
    73 any longer but is inferred from the specification.  Particularly in HOL,
    74 write
    75 
    76     class foo = ...     instead of      class foo = type + ...
    77 
    78 * Module moves in repository:
    79     src/Pure/Tools/value.ML ~> src/Tools/
    80     src/Pure/Tools/quickcheck.ML ~> src/Tools/
    81 
    82 * Slightly more coherent Pure syntax, with updated documentation in
    83 isar-ref manual.  Removed locales meta_term_syntax and
    84 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
    85 INCOMPATIBILITY in rare situations.
    86 
    87 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
    88 hypotheses.  Sorts required in the course of reasoning need to be
    89 covered by the constraints in the initial statement, completed by the
    90 type instance information of the background theory.  Non-trivial sort
    91 hypotheses, which rarely occur in practice, may be specified via
    92 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
    93 
    94   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
    95 
    96 The result contains an implicit sort hypotheses as before --
    97 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
    98 normalization.
    99 
   100 * Changed defaults for unify configuration options:
   101 
   102   unify_trace_bound = 50 (formerly 25)
   103   unify_search_bound = 60 (formerly 30)
   104 
   105 * Different bookkeeping for code equations (INCOMPATIBILITY):
   106 
   107   a) On theory merge, the last set of code equations for a particular
   108      constant is taken (in accordance with the policy applied by other
   109      parts of the code generator framework).
   110 
   111   b) Code equations stemming from explicit declarations (e.g. code
   112      attribute) gain priority over default code equations stemming
   113      from definition, primrec, fun etc.
   114 
   115 * Global versions of theorems stemming from classes do not carry a
   116 parameter prefix any longer.  INCOMPATIBILITY.
   117 
   118 * Dropped locale element "includes".  This is a major INCOMPATIBILITY.
   119 In existing theorem specifications replace the includes element by the
   120 respective context elements of the included locale, omitting those
   121 that are already present in the theorem specification.  Multiple
   122 assume elements of a locale should be replaced by a single one
   123 involving the locale predicate.  In the proof body, declarations (most
   124 notably theorems) may be regained by interpreting the respective
   125 locales in the proof context as required (command "interpret").
   126 
   127 If using "includes" in replacement of a target solely because the
   128 parameter types in the theorem are not as general as in the target,
   129 consider declaring a new locale with additional type constraints on
   130 the parameters (context element "constrains").
   131 
   132 * Dropped "locale (open)".  INCOMPATIBILITY.
   133 
   134 * Interpretation commands no longer attempt to simplify goal.
   135 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
   136 methods intro_locales and unfold_locales to clarify.
   137 
   138 * Interpretation commands no longer accept interpretation attributes.
   139 INCOMPATBILITY.
   140 
   141 * Complete re-implementation of locales.  INCOMPATIBILITY.  The most
   142 important changes are listed below.  See documentation (forthcoming)
   143 and tutorial (also forthcoming) for details.
   144 
   145 - In locale expressions, instantiation replaces renaming.  Parameters
   146 must be declared in a for clause.  To aid compatibility with previous
   147 parameter inheritance, in locale declarations, parameters that are not
   148 'touched' (instantiation position "_" or omitted) are implicitly added
   149 with their syntax at the beginning of the for clause.
   150 
   151 - Syntax from abbreviations and definitions in locales is available in
   152 locale expressions and context elements.  The latter is particularly
   153 useful in locale declarations.
   154 
   155 - More flexible mechanisms to qualify names generated by locale
   156 expressions.  Qualifiers (prefixes) may be specified in locale
   157 expressions.  Available are normal qualifiers (syntax "name:") and
   158 strict qualifiers (syntax "name!:").  The latter must occur in name
   159 references and are useful to avoid accidental hiding of names, the
   160 former are optional.  Qualifiers derived from the parameter names of a
   161 locale are no longer generated.
   162 
   163 - "sublocale l < e" replaces "interpretation l < e".  The
   164 instantiation clause in "interpretation" and "interpret" (square
   165 brackets) is no longer available.  Use locale expressions.
   166 
   167 - When converting proof scripts, be sure to replace qualifiers in
   168 "interpretation" and "interpret" by strict qualifiers.  Qualifiers in
   169 locale expressions range over a single locale instance only.
   170 
   171 * Command 'instance': attached definitions no longer accepted.
   172 INCOMPATIBILITY, use proper 'instantiation' target.
   173 
   174 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
   175 
   176 * The 'axiomatization' command now only works within a global theory
   177 context.  INCOMPATIBILITY.
   178 
   179 * New find_theorems criterion "solves" matching theorems that directly
   180 solve the current goal. Try "find_theorems solves".
   181 
   182 * Added an auto solve option, which can be enabled through the
   183 ProofGeneral Isabelle settings menu (disabled by default).
   184  
   185 When enabled, find_theorems solves is called whenever a new lemma is
   186 stated. Any theorems that could solve the lemma directly are listed
   187 underneath the goal.
   188 
   189 * New command find_consts searches for constants based on type and
   190 name patterns, e.g.
   191 
   192     find_consts "_ => bool"
   193 
   194 By default, matching is against subtypes, but it may be restricted to
   195 the whole type. Searching by name is possible. Multiple queries are
   196 conjunctive and queries may be negated by prefixing them with a
   197 hyphen:
   198 
   199     find_consts strict: "_ => bool" name: "Int" -"int => int"
   200 
   201 * Linear arithmetic now ignores all inequalities when fast_arith_neq_limit
   202 is exceeded, instead of giving up entirely.
   203 
   204 
   205 *** Document preparation ***
   206 
   207 * Antiquotation @{lemma} now imitates a regular terminal proof,
   208 demanding keyword 'by' and supporting the full method expression
   209 syntax just like the Isar command 'by'.
   210 
   211 
   212 *** HOL ***
   213 
   214 * Theory Library/Diagonalize.thy provides constructive version of
   215 Cantor's first diagonalization argument.
   216 
   217 * New predicate "strict_mono" classifies strict functions on partial orders.
   218 With strict functions on linear orders, reasoning about (in)equalities is
   219 facilitated by theorems "strict_mono_eq", "strict_mono_less_eq" and "strict_mono_less".
   220 
   221 * Some set operations are now proper qualified constants with authentic syntax.
   222 INCOMPATIBILITY:
   223 
   224     op Int ~>   Set.Int
   225     op Un ~>    Set.Un
   226     INTER ~>    Set.INTER
   227     UNION ~>    Set.UNION
   228     Inter ~>    Set.Inter
   229     Union ~>    Set.Union
   230     {} ~>       Set.empty
   231     UNIV ~>     Set.UNIV
   232 
   233 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in theory
   234 Set.
   235 
   236 * Auxiliary class "itself" has disappeared -- classes without any parameter
   237 are treated as expected by the 'class' command.
   238 
   239 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
   240 
   241 * Common decision procedures (Cooper, MIR, Ferrack, Approximation, Dense_Linear_Order)
   242 now in directory HOL/Decision_Procs.
   243 
   244 * Theory HOL/Decisioin_Procs/Approximation.thy provides the new proof method
   245 "approximation".  It proves formulas on real values by using interval arithmetic.
   246 In the formulas are also the transcendental functions sin, cos, tan, atan, ln,
   247 exp and the constant pi are allowed.  For examples see HOL/ex/ApproximationEx.thy.
   248 
   249 * Theory "Reflection" now resides in HOL/Library.
   250 
   251 * Entry point to Word library now simply named "Word".  INCOMPATIBILITY.
   252 
   253 * Made source layout more coherent with logical distribution
   254 structure:
   255 
   256     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
   257     src/HOL/Library/Code_Message.thy ~> src/HOL/
   258     src/HOL/Library/GCD.thy ~> src/HOL/
   259     src/HOL/Library/Order_Relation.thy ~> src/HOL/
   260     src/HOL/Library/Parity.thy ~> src/HOL/
   261     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
   262     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
   263     src/HOL/Real/Lubs.thy ~> src/HOL/
   264     src/HOL/Real/PReal.thy ~> src/HOL/
   265     src/HOL/Real/Rational.thy ~> src/HOL/
   266     src/HOL/Real/RComplete.thy ~> src/HOL/
   267     src/HOL/Real/RealDef.thy ~> src/HOL/
   268     src/HOL/Real/RealPow.thy ~> src/HOL/
   269     src/HOL/Real/Real.thy ~> src/HOL/
   270     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
   271     src/HOL/Complex/Complex.thy ~> src/HOL/
   272     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
   273     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
   274     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
   275     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
   276     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
   277     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
   278     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
   279     src/HOL/Hyperreal/Log.thy ~> src/HOL/
   280     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
   281     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
   282     src/HOL/Hyperreal/Series.thy ~> src/HOL/
   283     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
   284     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
   285     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
   286     src/HOL/Real/Float ~> src/HOL/Library/
   287     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
   288     src/HOL/Real/RealVector.thy ~> src/HOL/
   289 
   290     src/HOL/arith_data.ML ~> src/HOL/Tools
   291     src/HOL/hologic.ML ~> src/HOL/Tools
   292     src/HOL/simpdata.ML ~> src/HOL/Tools
   293     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
   294     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
   295     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
   296     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
   297     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
   298     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
   299     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
   300 
   301     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
   302     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
   303     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
   304     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
   305     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
   306     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
   307 
   308 * If methods "eval" and "evaluation" encounter a structured proof state
   309 with !!/==>, only the conclusion is evaluated to True (if possible),
   310 avoiding strange error messages.
   311 
   312 * Simplifier: simproc for let expressions now unfolds if bound variable
   313 occurs at most once in let expression body.  INCOMPATIBILITY.
   314 
   315 * New classes "top" and "bot" with corresponding operations "top" and "bot"
   316 in theory Orderings;  instantiation of class "complete_lattice" requires
   317 instantiation of classes "top" and "bot".  INCOMPATIBILITY.
   318 
   319 * Changed definition lemma "less_fun_def" in order to provide an instance
   320 for preorders on functions;  use lemma "less_le" instead.  INCOMPATIBILITY.
   321 
   322 * Unified theorem tables for both code code generators.  Thus
   323 [code func] has disappeared and only [code] remains.  INCOMPATIBILITY.
   324 
   325 * Constants "undefined" and "default" replace "arbitrary".  Usually
   326 "undefined" is the right choice to replace "arbitrary", though logically
   327 there is no difference.  INCOMPATIBILITY.
   328 
   329 * Generic ATP manager for Sledgehammer, based on ML threads instead of
   330 Posix processes.  Avoids potentially expensive forking of the ML
   331 process.  New thread-based implementation also works on non-Unix
   332 platforms (Cygwin).  Provers are no longer hardwired, but defined
   333 within the theory via plain ML wrapper functions.  Basic Sledgehammer
   334 commands are covered in the isar-ref manual.
   335 
   336 * Wrapper scripts for remote SystemOnTPTP service allows to use
   337 sledgehammer without local ATP installation (Vampire etc.).  See also
   338 ISABELLE_HOME/contrib/SystemOnTPTP and the VAMPIRE_HOME setting
   339 variable.  Other provers may be included via suitable ML wrappers, see
   340 also src/HOL/ATP_Linkup.thy.
   341 
   342 * Normalization by evaluation now allows non-leftlinear equations.
   343 Declare with attribute [code nbe].
   344 
   345 * Command "value" now integrates different evaluation
   346 mechanisms.  The result of the first successful evaluation mechanism
   347 is printed.  In square brackets a particular named evaluation
   348 mechanisms may be specified (currently, [SML], [code] or [nbe]).  See
   349 further src/HOL/ex/Eval_Examples.thy.
   350 
   351 * New method "sizechange" to automate termination proofs using (a
   352 modification of) the size-change principle. Requires SAT solver. See
   353 src/HOL/ex/Termination.thy for examples.
   354 
   355 * HOL/Orderings: class "wellorder" moved here, with explicit induction
   356 rule "less_induct" as assumption.  For instantiation of "wellorder" by
   357 means of predicate "wf", use rule wf_wellorderI.  INCOMPATIBILITY.
   358 
   359 * HOL/Orderings: added class "preorder" as superclass of "order".
   360 INCOMPATIBILITY: Instantiation proofs for order, linorder
   361 etc. slightly changed.  Some theorems named order_class.* now named
   362 preorder_class.*.
   363 
   364 * HOL/Relation:
   365 Renamed "refl" to "refl_on", "reflexive" to "refl, "diag" to "Id_on".
   366 
   367 * HOL/Finite_Set: added a new fold combinator of type
   368   ('a => 'b => 'b) => 'b => 'a set => 'b
   369 Occasionally this is more convenient than the old fold combinator which is
   370 now defined in terms of the new one and renamed to fold_image.
   371 
   372 * HOL/Ring_and_Field and HOL/OrderedGroup: The lemmas "group_simps" and
   373 "ring_simps" have been replaced by "algebra_simps" (which can be extended with
   374 further lemmas!). At the moment both still exist but the former will disappear
   375 at some point.
   376 
   377 * HOL/Power: Lemma power_Suc is now declared as a simp rule in class
   378 recpower.  Type-specific simp rules for various recpower types have
   379 been removed.  INCOMPATIBILITY.  Rename old lemmas as follows:
   380 
   381 rat_power_0    -> power_0
   382 rat_power_Suc  -> power_Suc
   383 realpow_0      -> power_0
   384 realpow_Suc    -> power_Suc
   385 complexpow_0   -> power_0
   386 complexpow_Suc -> power_Suc
   387 power_poly_0   -> power_0
   388 power_poly_Suc -> power_Suc
   389 
   390 * HOL/Ring_and_Field and HOL/Divides: Definition of "op dvd" has been
   391 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
   392 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
   393 of lemmas from Divides has been generalized from nat to class
   394 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
   395 renames resulting from duplicate elimination:
   396 
   397     dvd_def_mod ~>          dvd_eq_mod_eq_0
   398     zero_dvd_iff ~>         dvd_0_left_iff
   399     dvd_0 ~>                dvd_0_right
   400     DIVISION_BY_ZERO_DIV ~> div_by_0
   401     DIVISION_BY_ZERO_MOD ~> mod_by_0
   402     mult_div ~>             div_mult_self2_is_id
   403     mult_mod ~>             mod_mult_self2_is_0
   404 
   405 * HOL/IntDiv: removed many lemmas that are instances of class-based
   406 generalizations (from Divides and Ring_and_Field).
   407 INCOMPATIBILITY. Rename old lemmas as follows:
   408 
   409 dvd_diff               -> nat_dvd_diff
   410 dvd_zminus_iff         -> dvd_minus_iff
   411 mod_add1_eq            -> mod_add_eq
   412 mod_mult1_eq           -> mod_mult_right_eq
   413 mod_mult1_eq'          -> mod_mult_left_eq
   414 mod_mult_distrib_mod   -> mod_mult_eq
   415 nat_mod_add_left_eq    -> mod_add_left_eq
   416 nat_mod_add_right_eq   -> mod_add_right_eq
   417 nat_mod_div_trivial    -> mod_div_trivial
   418 nat_mod_mod_trivial    -> mod_mod_trivial
   419 zdiv_zadd_self1        -> div_add_self1
   420 zdiv_zadd_self2        -> div_add_self2
   421 zdiv_zmult_self1       -> div_mult_self2_is_id
   422 zdiv_zmult_self2       -> div_mult_self1_is_id
   423 zdvd_triv_left         -> dvd_triv_left
   424 zdvd_triv_right        -> dvd_triv_right
   425 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
   426 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
   427 zmod_zadd_left_eq      -> mod_add_left_eq
   428 zmod_zadd_right_eq     -> mod_add_right_eq
   429 zmod_zadd_self1        -> mod_add_self1
   430 zmod_zadd_self2        -> mod_add_self2
   431 zmod_zadd1_eq          -> mod_add_eq
   432 zmod_zdiff1_eq         -> mod_diff_eq
   433 zmod_zdvd_zmod         -> mod_mod_cancel
   434 zmod_zmod_cancel       -> mod_mod_cancel
   435 zmod_zmult_self1       -> mod_mult_self2_is_0
   436 zmod_zmult_self2       -> mod_mult_self1_is_0
   437 zmod_1                 -> mod_by_1
   438 zdiv_1                 -> div_by_1
   439 zdvd_abs1              -> abs_dvd_iff
   440 zdvd_abs2              -> dvd_abs_iff
   441 zdvd_refl              -> dvd_refl
   442 zdvd_trans             -> dvd_trans
   443 zdvd_zadd              -> dvd_add
   444 zdvd_zdiff             -> dvd_diff
   445 zdvd_zminus_iff        -> dvd_minus_iff
   446 zdvd_zminus2_iff       -> minus_dvd_iff
   447 zdvd_zmultD            -> dvd_mult_right
   448 zdvd_zmultD2           -> dvd_mult_left
   449 zdvd_zmult_mono        -> mult_dvd_mono
   450 zdvd_0_right           -> dvd_0_right
   451 zdvd_0_left            -> dvd_0_left_iff
   452 zdvd_1_left            -> one_dvd
   453 zminus_dvd_iff         -> minus_dvd_iff
   454 
   455 * HOL/Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
   456 zlcm (for int); carried together from various gcd/lcm developements in
   457 the HOL Distribution.  zgcd and zlcm replace former igcd and ilcm;
   458 corresponding theorems renamed accordingly.  INCOMPATIBILITY.  To
   459 recover tupled syntax, use syntax declarations like:
   460 
   461     hide (open) const gcd
   462     abbreviation gcd where
   463       "gcd == (%(a, b). GCD.gcd a b)"
   464     notation (output)
   465       GCD.gcd ("gcd '(_, _')")
   466 
   467 (analogously for lcm, zgcd, zlcm).
   468 
   469 * HOL/Real/Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
   470 
   471 * The real numbers offer decimal input syntax: 12.34 is translated into
   472   1234/10^2. This translation is not reversed upon output.
   473 
   474 * New ML antiquotation @{code}: takes constant as argument, generates
   475 corresponding code in background and inserts name of the corresponding
   476 resulting ML value/function/datatype constructor binding in place.
   477 All occurrences of @{code} with a single ML block are generated
   478 simultaneously.  Provides a generic and safe interface for
   479 instrumentalizing code generation.  See HOL/ex/Code_Antiq for a toy
   480 example, or HOL/Complex/ex/ReflectedFerrack for a more ambitious
   481 application.  In future you ought refrain from ad-hoc compiling
   482 generated SML code on the ML toplevel.  Note that (for technical
   483 reasons) @{code} cannot refer to constants for which user-defined
   484 serializations are set.  Refer to the corresponding ML counterpart
   485 directly in that cases.
   486 
   487 * Integrated image HOL-Complex with HOL.  Entry points Main.thy and
   488 Complex_Main.thy remain as they are.
   489 
   490 * New image HOL-Plain provides a minimal HOL with the most important
   491 tools available (inductive, datatype, primrec, ...).  By convention
   492 the corresponding theory Plain should be ancestor of every further
   493 (library) theory.  Some library theories now have ancestor Plain
   494 (instead of Main), thus theory Main occasionally has to be imported
   495 explicitly.
   496 
   497 * The metis method now fails in the usual manner, rather than raising
   498 an exception, if it determines that it cannot prove the theorem.
   499 
   500 * The metis method no longer fails because the theorem is too trivial
   501 (contains the empty clause).
   502 
   503 * Methods "case_tac" and "induct_tac" now refer to the very same rules
   504 as the structured Isar versions "cases" and "induct", cf. the
   505 corresponding "cases" and "induct" attributes.  Mutual induction rules
   506 are now presented as a list of individual projections
   507 (e.g. foo_bar.inducts for types foo and bar); the old format with
   508 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
   509 rare situations a different rule is selected --- notably nested tuple
   510 elimination instead of former prod.exhaust: use explicit (case_tac t
   511 rule: prod.exhaust) here.
   512 
   513 * Attributes "cases", "induct", "coinduct" support "del" option.
   514 
   515 * Removed fact "case_split_thm", which duplicates "case_split".
   516 
   517 * Command 'rep_datatype': instead of theorem names the command now
   518 takes a list of terms denoting the constructors of the type to be
   519 represented as datatype.  The characteristic theorems have to be
   520 proven.  INCOMPATIBILITY.  Also observe that the following theorems
   521 have disappeared in favour of existing ones:
   522 
   523     unit_induct                 ~> unit.induct
   524     prod_induct                 ~> prod.induct
   525     sum_induct                  ~> sum.induct
   526     Suc_Suc_eq                  ~> nat.inject
   527     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
   528 
   529 * The option datatype has been moved to a new theory HOL/Option.thy.
   530 Renamed option_map to Option.map, and o2s to Option.set.
   531 
   532 * Library/Nat_Infinity: added addition, numeral syntax and more
   533 instantiations for algebraic structures.  Removed some duplicate
   534 theorems.  Changes in simp rules.  INCOMPATIBILITY.
   535 
   536 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
   537 menu.
   538 
   539 
   540 *** HOL-Algebra ***
   541 
   542 * New locales for orders and lattices where the equivalence relation
   543 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
   544 locales use a record structure with field eq for the equivalence.
   545 
   546 * New theory of factorial domains.
   547 
   548 * Units_l_inv and Units_r_inv are now simprules by default.
   549 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
   550 and/or r_inv will now also require deletion of these lemmas.
   551 
   552 * Renamed the following theorems.  INCOMPATIBILITY.
   553 UpperD ~> Upper_memD
   554 LowerD ~> Lower_memD
   555 least_carrier ~> least_closed
   556 greatest_carrier ~> greatest_closed
   557 greatest_Lower_above ~> greatest_Lower_below
   558 one_zero ~> carrier_one_zero
   559 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
   560 
   561 
   562 *** HOL-NSA ***
   563 
   564 * Created new image HOL-NSA, containing theories of nonstandard
   565 analysis which were previously part of HOL-Complex.  Entry point
   566 Hyperreal.thy remains valid, but theories formerly using
   567 Complex_Main.thy should now use new entry point Hypercomplex.thy.
   568 
   569 
   570 *** ZF ***
   571 
   572 * Proof of Zorn's Lemma for partial orders.
   573 
   574 
   575 *** HOLCF ***
   576 
   577 * Reimplemented the simplification procedure for proving continuity
   578 subgoals.  The new simproc is extensible; users can declare additional
   579 continuity introduction rules with the attribute [cont2cont].
   580 
   581 * The continuity simproc now uses a different introduction rule for
   582 solving continuity subgoals on terms with lambda abstractions.  In
   583 some rare cases the new simproc may fail to solve subgoals that the
   584 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
   585 Potential INCOMPATIBILITY.
   586 
   587 * The syntax of the fixrec package has changed.  The specification
   588 syntax now conforms in style to definition, primrec, function, etc.
   589 See HOLCF/ex/Fixrec_ex.thy for examples.  INCOMPATIBILITY.
   590 
   591 
   592 *** ML ***
   593 
   594 * High-level support for concurrent ML programming, see
   595 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
   596 particularly convenient to organize independent functional
   597 computations.  The concept of "synchronized variables" provides a
   598 higher-order interface for components with shared state, avoiding the
   599 delicate details of mutexes and condition variables.  [Poly/ML 5.2.1
   600 or later]
   601 
   602 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
   603 to 'a -> thm, while results are always tagged with an authentic oracle
   604 name.  The Isar command 'oracle' is now polymorphic, no argument type
   605 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
   606 accordingly.  Note that extra performance may be gained by producing
   607 the cterm carefully, avoiding slow Thm.cterm_of.
   608 
   609 * ML bindings produced via Isar commands are stored within the Isar
   610 context (theory or proof).  Consequently, commands like 'use' and 'ML'
   611 become thread-safe and work with undo as expected (concerning
   612 top-level bindings, not side-effects on global references).
   613 INCOMPATIBILITY, need to provide proper Isar context when invoking the
   614 compiler at runtime; really global bindings need to be given outside a
   615 theory. [Poly/ML 5.2 or later]
   616 
   617 * Command 'ML_prf' is analogous to 'ML' but works within a proof
   618 context. Top-level ML bindings are stored within the proof context in
   619 a purely sequential fashion, disregarding the nested proof structure.
   620 ML bindings introduced by 'ML_prf' are discarded at the end of the
   621 proof.  [Poly/ML 5.2 or later]
   622 
   623 * Generic Toplevel.add_hook interface allows to analyze the result of
   624 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
   625 for theorem dependency output of transactions resulting in a new
   626 theory state.
   627 
   628 * More systematic treatment of long names, abstract name bindings, and
   629 name space operations.  Basic operations on qualified names have been
   630 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
   631 Long_Name.append.  Old type bstring has been mostly replaced by
   632 abstract type binding (see structure Binding), which supports precise
   633 qualification (by packages and local theory targets), as well as
   634 proper tracking of source positions.  INCOMPATIBILITY, need to wrap
   635 old bstring values into Binding.name, or better pass through abstract
   636 bindings everywhere.  See further src/Pure/General/long_name.ML,
   637 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
   638 
   639 * Simplified interface for defining document antiquotations via
   640 ThyOutput.antiquotation, ThyOutput.output, and optionally
   641 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
   642 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
   643 examples.
   644 
   645 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
   646 LocalTheory.note etc.) now refer to the *full* internal name, not the
   647 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
   648 
   649 * Rules and tactics that read instantiations (read_instantiate,
   650 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
   651 context, which is required for parsing and type-checking.  Moreover,
   652 the variables are specified as plain indexnames, not string encodings
   653 thereof.  INCOMPATIBILITY.
   654 
   655 * Disposed old type and term read functions (Sign.read_def_typ,
   656 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
   657 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
   658 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
   659 Syntax.read_term_global etc.; see also OldGoals.read_term as last
   660 resort for legacy applications.
   661 
   662 * Antiquotations: block-structured compilation context indicated by
   663 \<lbrace> ... \<rbrace>; additional antiquotation forms:
   664 
   665   @{let ?pat = term}                      - term abbreviation (HO matching)
   666   @{note name = fact}                     - fact abbreviation
   667   @{thm fact}                             - singleton fact (with attributes)
   668   @{thms fact}                            - general fact (with attributes)
   669   @{lemma prop by method}                 - singleton goal
   670   @{lemma prop by meth1 meth2}            - singleton goal
   671   @{lemma prop1 ... propN by method}      - general goal
   672   @{lemma prop1 ... propN by meth1 meth2} - general goal
   673   @{lemma (open) ...}                     - open derivation
   674 
   675 
   676 *** System ***
   677 
   678 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
   679 Poly/ML 5.2.1 or later.
   680 
   681 * The Isabelle "emacs" tool provides a specific interface to invoke
   682 Proof General / Emacs, with more explicit failure if that is not
   683 installed (the old isabelle-interface script silently falls back on
   684 isabelle-process).  The PROOFGENERAL_HOME setting determines the
   685 installation location of the Proof General distribution.
   686 
   687 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
   688 the Isabelle process into a JVM/Scala application.  See
   689 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
   690 process wrapper has been discontinued.)
   691 
   692 * Status messages (with exact source position information) are
   693 emitted, if proper markup print mode is enabled.  This allows
   694 user-interface components to provide detailed feedback on internal
   695 prover operations.
   696 
   697 * Homegrown Isabelle font with unicode layout, see Isabelle/lib/fonts.
   698 
   699 
   700 
   701 New in Isabelle2008 (June 2008)
   702 -------------------------------
   703 
   704 *** General ***
   705 
   706 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
   707 and updated, with formally checked references as hyperlinks.
   708 
   709 * Theory loader: use_thy (and similar operations) no longer set the
   710 implicit ML context, which was occasionally hard to predict and in
   711 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
   712 provides a proper context already.
   713 
   714 * Theory loader: old-style ML proof scripts being *attached* to a thy
   715 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
   716 'use' within a theory file will do the job.
   717 
   718 * Name space merge now observes canonical order, i.e. the second space
   719 is inserted into the first one, while existing entries in the first
   720 space take precedence.  INCOMPATIBILITY in rare situations, may try to
   721 swap theory imports.
   722 
   723 * Syntax: symbol \<chi> is now considered a letter.  Potential
   724 INCOMPATIBILITY in identifier syntax etc.
   725 
   726 * Outer syntax: string tokens no longer admit escaped white space,
   727 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
   728 white space without escapes.
   729 
   730 * Outer syntax: string tokens may contain arbitrary character codes
   731 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
   732 "foo_bar".
   733 
   734 
   735 *** Pure ***
   736 
   737 * Context-dependent token translations.  Default setup reverts locally
   738 fixed variables, and adds hilite markup for undeclared frees.
   739 
   740 * Unused theorems can be found using the new command 'unused_thms'.
   741 There are three ways of invoking it:
   742 
   743 (1) unused_thms
   744      Only finds unused theorems in the current theory.
   745 
   746 (2) unused_thms thy_1 ... thy_n -
   747      Finds unused theorems in the current theory and all of its ancestors,
   748      excluding the theories thy_1 ... thy_n and all of their ancestors.
   749 
   750 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
   751      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
   752      their ancestors, excluding the theories thy_1 ... thy_n and all of
   753      their ancestors.
   754 
   755 In order to increase the readability of the list produced by
   756 unused_thms, theorems that have been created by a particular instance
   757 of a theory command such as 'inductive' or 'function' are considered
   758 to belong to the same "group", meaning that if at least one theorem in
   759 this group is used, the other theorems in the same group are no longer
   760 reported as unused.  Moreover, if all theorems in the group are
   761 unused, only one theorem in the group is displayed.
   762 
   763 Note that proof objects have to be switched on in order for
   764 unused_thms to work properly (i.e. !proofs must be >= 1, which is
   765 usually the case when using Proof General with the default settings).
   766 
   767 * Authentic naming of facts disallows ad-hoc overwriting of previous
   768 theorems within the same name space.  INCOMPATIBILITY, need to remove
   769 duplicate fact bindings, or even accidental fact duplications.  Note
   770 that tools may maintain dynamically scoped facts systematically, using
   771 PureThy.add_thms_dynamic.
   772 
   773 * Command 'hide' now allows to hide from "fact" name space as well.
   774 
   775 * Eliminated destructive theorem database, simpset, claset, and
   776 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
   777 update of theories within ML code.
   778 
   779 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
   780 INCOMPATIBILITY, object-logics depending on former Pure require
   781 additional setup PureThy.old_appl_syntax_setup; object-logics
   782 depending on former CPure need to refer to Pure.
   783 
   784 * Commands 'use' and 'ML' are now purely functional, operating on
   785 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
   786 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
   787 INCOMPATIBILITY.
   788 
   789 * Command 'setup': discontinued implicit version with ML reference.
   790 
   791 * Instantiation target allows for simultaneous specification of class
   792 instance operations together with an instantiation proof.
   793 Type-checking phase allows to refer to class operations uniformly.
   794 See src/HOL/Complex/Complex.thy for an Isar example and
   795 src/HOL/Library/Eval.thy for an ML example.
   796 
   797 * Indexing of literal facts: be more serious about including only
   798 facts from the visible specification/proof context, but not the
   799 background context (locale etc.).  Affects `prop` notation and method
   800 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
   801 situations.
   802 
   803 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
   804 "(open)" option, which used to expose internal bound variables to the
   805 proof text.
   806 
   807 * Isar statements: removed obsolete case "rule_context".
   808 INCOMPATIBILITY, better use explicit fixes/assumes.
   809 
   810 * Locale proofs: default proof step now includes 'unfold_locales';
   811 hence 'proof' without argument may be used to unfold locale
   812 predicates.
   813 
   814 
   815 *** Document preparation ***
   816 
   817 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
   818 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
   819 obsolete thumbpdf setup (contemporary PDF viewers do this on the
   820 spot); renamed link color from "darkblue" to "linkcolor" (default
   821 value unchanged, can be redefined via \definecolor); no longer sets
   822 "a4paper" option (unnecessary or even intrusive).
   823 
   824 * Antiquotation @{lemma A method} proves proposition A by the given
   825 method (either a method name or a method name plus (optional) method
   826 arguments in parentheses) and prints A just like @{prop A}.
   827 
   828 
   829 *** HOL ***
   830 
   831 * New primrec package.  Specification syntax conforms in style to
   832 definition/function/....  No separate induction rule is provided.  The
   833 "primrec" command distinguishes old-style and new-style specifications
   834 by syntax.  The former primrec package is now named OldPrimrecPackage.
   835 When adjusting theories, beware: constants stemming from new-style
   836 primrec specifications have authentic syntax.
   837 
   838 * Metis prover is now an order of magnitude faster, and also works
   839 with multithreading.
   840 
   841 * Metis: the maximum number of clauses that can be produced from a
   842 theorem is now given by the attribute max_clauses.  Theorems that
   843 exceed this number are ignored, with a warning printed.
   844 
   845 * Sledgehammer no longer produces structured proofs by default. To
   846 enable, declare [[sledgehammer_full = true]].  Attributes
   847 reconstruction_modulus, reconstruction_sorts renamed
   848 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
   849 
   850 * Method "induct_scheme" derives user-specified induction rules
   851 from well-founded induction and completeness of patterns. This factors
   852 out some operations that are done internally by the function package
   853 and makes them available separately.  See
   854 src/HOL/ex/Induction_Scheme.thy for examples.
   855 
   856 * More flexible generation of measure functions for termination
   857 proofs: Measure functions can be declared by proving a rule of the
   858 form "is_measure f" and giving it the [measure_function] attribute.
   859 The "is_measure" predicate is logically meaningless (always true), and
   860 just guides the heuristic.  To find suitable measure functions, the
   861 termination prover sets up the goal "is_measure ?f" of the appropriate
   862 type and generates all solutions by prolog-style backwards proof using
   863 the declared rules.
   864 
   865 This setup also deals with rules like 
   866 
   867   "is_measure f ==> is_measure (list_size f)"
   868 
   869 which accommodates nested datatypes that recurse through lists.
   870 Similar rules are predeclared for products and option types.
   871 
   872 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
   873 
   874   INCOMPATIBILITIES:
   875 
   876   - Definitions of overloaded constants on sets have to be replaced by
   877     definitions on => and bool.
   878 
   879   - Some definitions of overloaded operators on sets can now be proved
   880     using the definitions of the operators on => and bool.  Therefore,
   881     the following theorems have been renamed:
   882 
   883       subset_def   -> subset_eq
   884       psubset_def  -> psubset_eq
   885       set_diff_def -> set_diff_eq
   886       Compl_def    -> Compl_eq
   887       Sup_set_def  -> Sup_set_eq
   888       Inf_set_def  -> Inf_set_eq
   889       sup_set_def  -> sup_set_eq
   890       inf_set_def  -> inf_set_eq
   891 
   892   - Due to the incompleteness of the HO unification algorithm, some
   893     rules such as subst may require manual instantiation, if some of
   894     the unknowns in the rule is a set.
   895 
   896   - Higher order unification and forward proofs:
   897     The proof pattern
   898 
   899       have "P (S::'a set)" <...>
   900       then have "EX S. P S" ..
   901 
   902     no longer works (due to the incompleteness of the HO unification
   903     algorithm) and must be replaced by the pattern
   904 
   905       have "EX S. P S"
   906       proof
   907         show "P S" <...>
   908       qed
   909 
   910   - Calculational reasoning with subst (or similar rules):
   911     The proof pattern
   912 
   913       have "P (S::'a set)" <...>
   914       also have "S = T" <...>
   915       finally have "P T" .
   916 
   917     no longer works (for similar reasons as the previous example) and
   918     must be replaced by something like
   919 
   920       have "P (S::'a set)" <...>
   921       moreover have "S = T" <...>
   922       ultimately have "P T" by simp
   923 
   924   - Tactics or packages written in ML code:
   925     Code performing pattern matching on types via
   926 
   927       Type ("set", [T]) => ...
   928 
   929     must be rewritten. Moreover, functions like strip_type or
   930     binder_types no longer return the right value when applied to a
   931     type of the form
   932 
   933       T1 => ... => Tn => U => bool
   934 
   935     rather than
   936 
   937       T1 => ... => Tn => U set
   938 
   939 * Merged theories Wellfounded_Recursion, Accessible_Part and
   940 Wellfounded_Relations to theory Wellfounded.
   941 
   942 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
   943 
   944 * Class finite no longer treats UNIV as class parameter.  Use class
   945 enum from theory Library/Enum instead to achieve a similar effect.
   946 INCOMPATIBILITY.
   947 
   948 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
   949 and "Cons".  INCOMPATIBILITY.
   950 
   951 * HOL (and FOL): renamed variables in rules imp_elim and swap.
   952 Potential INCOMPATIBILITY.
   953 
   954 * Theory Product_Type: duplicated lemmas split_Pair_apply and
   955 injective_fst_snd removed, use split_eta and prod_eqI instead.
   956 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
   957 
   958 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
   959 the same name in theory Orderings:
   960 
   961   less_trans
   962   less_linear
   963   le_imp_less_or_eq
   964   le_less_trans
   965   less_le_trans
   966   less_not_sym
   967   less_asym
   968 
   969 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
   970 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
   971 and different variable names.
   972 
   973 * Library/Option_ord.thy: Canonical order on option type.
   974 
   975 * Library/RBT.thy: Red-black trees, an efficient implementation of
   976 finite maps.
   977 
   978 * Library/Countable.thy: Type class for countable types.
   979 
   980 * Theory Int: The representation of numerals has changed.  The infix
   981 operator BIT and the bit datatype with constructors B0 and B1 have
   982 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
   983 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
   984 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
   985 accordingly.
   986 
   987 * Theory Nat: definition of <= and < on natural numbers no longer
   988 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
   989 le_def and less_def have disappeared.  Consider lemmas not_less
   990 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
   991 
   992 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
   993 (whose purpose mainly is for various fold_set functionals) have been
   994 abandoned in favor of the existing algebraic classes
   995 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
   996 lower_semilattice (resp. upper_semilattice) and linorder.
   997 INCOMPATIBILITY.
   998 
   999 * Theory Transitive_Closure: induct and cases rules now declare proper
  1000 case_names ("base" and "step").  INCOMPATIBILITY.
  1001 
  1002 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  1003 lattices.  The form set-specific version is available as
  1004 Inductive.lfp_ordinal_induct_set.
  1005 
  1006 * Renamed theorems "power.simps" to "power_int.simps".
  1007 INCOMPATIBILITY.
  1008 
  1009 * Class semiring_div provides basic abstract properties of semirings
  1010 with division and modulo operations.  Subsumes former class dvd_mod.
  1011 
  1012 * Merged theories IntDef, Numeral and IntArith into unified theory
  1013 Int.  INCOMPATIBILITY.
  1014 
  1015 * Theory Library/Code_Index: type "index" now represents natural
  1016 numbers rather than integers.  INCOMPATIBILITY.
  1017 
  1018 * New class "uminus" with operation "uminus" (split of from class
  1019 "minus" which now only has operation "minus", binary).
  1020 INCOMPATIBILITY.
  1021 
  1022 * Constants "card", "internal_split", "option_map" now with authentic
  1023 syntax.  INCOMPATIBILITY.
  1024 
  1025 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  1026 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  1027 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  1028 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  1029 Sup_set_def, le_def, less_def, option_map_def now with object
  1030 equality.  INCOMPATIBILITY.
  1031 
  1032 * Records. Removed K_record, and replaced it by pure lambda term
  1033 %x. c. The simplifier setup is now more robust against eta expansion.
  1034 INCOMPATIBILITY: in cases explicitly referring to K_record.
  1035 
  1036 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  1037 
  1038 * Library/ListVector: new theory of arithmetic vector operations.
  1039 
  1040 * Library/Order_Relation: new theory of various orderings as sets of
  1041 pairs.  Defines preorders, partial orders, linear orders and
  1042 well-orders on sets and on types.
  1043 
  1044 
  1045 *** ZF ***
  1046 
  1047 * Renamed some theories to allow to loading both ZF and HOL in the
  1048 same session:
  1049 
  1050   Datatype  -> Datatype_ZF
  1051   Inductive -> Inductive_ZF
  1052   Int       -> Int_ZF
  1053   IntDiv    -> IntDiv_ZF
  1054   Nat       -> Nat_ZF
  1055   List      -> List_ZF
  1056   Main      -> Main_ZF
  1057 
  1058 INCOMPATIBILITY: ZF theories that import individual theories below
  1059 Main might need to be adapted.  Regular theory Main is still
  1060 available, as trivial extension of Main_ZF.
  1061 
  1062 
  1063 *** ML ***
  1064 
  1065 * ML within Isar: antiquotation @{const name} or @{const
  1066 name(typargs)} produces statically-checked Const term.
  1067 
  1068 * Functor NamedThmsFun: data is available to the user as dynamic fact
  1069 (of the same name).  Removed obsolete print command.
  1070 
  1071 * Removed obsolete "use_legacy_bindings" function.
  1072 
  1073 * The ``print mode'' is now a thread-local value derived from a global
  1074 template (the former print_mode reference), thus access becomes
  1075 non-critical.  The global print_mode reference is for session
  1076 management only; user-code should use print_mode_value,
  1077 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  1078 
  1079 * Functions system/system_out provide a robust way to invoke external
  1080 shell commands, with propagation of interrupts (requires Poly/ML
  1081 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  1082 
  1083 
  1084 *** System ***
  1085 
  1086 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  1087 in accordance with Proof General 3.7, which prefers GNU emacs.
  1088 
  1089 * isatool tty runs Isabelle process with plain tty interaction;
  1090 optional line editor may be specified via ISABELLE_LINE_EDITOR
  1091 setting, the default settings attempt to locate "ledit" and "rlwrap".
  1092 
  1093 * isatool browser now works with Cygwin as well, using general
  1094 "javapath" function defined in Isabelle process environment.
  1095 
  1096 * YXML notation provides a simple and efficient alternative to
  1097 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  1098 isatool yxml as described in the Isabelle system manual.
  1099 
  1100 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  1101 provides general wrapper for managing an Isabelle process in a robust
  1102 fashion, with ``cooked'' output from stdin/stderr.
  1103 
  1104 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  1105 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  1106 
  1107 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  1108 way of changing the user's settings is via
  1109 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  1110 script.
  1111 
  1112 * Multithreading.max_threads := 0 refers to the number of actual CPU
  1113 cores of the underlying machine, which is a good starting point for
  1114 optimal performance tuning.  The corresponding usedir option -M allows
  1115 "max" as an alias for "0".  WARNING: does not work on certain versions
  1116 of Mac OS (with Poly/ML 5.1).
  1117 
  1118 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  1119 adverse effect of Isabelle flooding interactive front-ends (notably
  1120 ProofGeneral / XEmacs).
  1121 
  1122 
  1123 
  1124 New in Isabelle2007 (November 2007)
  1125 -----------------------------------
  1126 
  1127 *** General ***
  1128 
  1129 * More uniform information about legacy features, notably a
  1130 warning/error of "Legacy feature: ...", depending on the state of the
  1131 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  1132 legacy features will disappear eventually.
  1133 
  1134 * Theory syntax: the header format ``theory A = B + C:'' has been
  1135 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  1136 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  1137 
  1138 * Theory syntax: the old non-Isar theory file format has been
  1139 discontinued altogether.  Note that ML proof scripts may still be used
  1140 with Isar theories; migration is usually quite simple with the ML
  1141 function use_legacy_bindings.  INCOMPATIBILITY.
  1142 
  1143 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  1144 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  1145 quotes.
  1146 
  1147 * Theory loader: be more serious about observing the static theory
  1148 header specifications (including optional directories), but not the
  1149 accidental file locations of previously successful loads.  The strict
  1150 update policy of former update_thy is now already performed by
  1151 use_thy, so the former has been removed; use_thys updates several
  1152 theories simultaneously, just as 'imports' within a theory header
  1153 specification, but without merging the results.  Potential
  1154 INCOMPATIBILITY: may need to refine theory headers and commands
  1155 ROOT.ML which depend on load order.
  1156 
  1157 * Theory loader: optional support for content-based file
  1158 identification, instead of the traditional scheme of full physical
  1159 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  1160 (cf. the system manual).  The new scheme allows to work with
  1161 non-finished theories in persistent session images, such that source
  1162 files may be moved later on without requiring reloads.
  1163 
  1164 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1165 file (with the same base name as the theory) are considered a legacy
  1166 feature, which will disappear eventually. Even now, the theory loader
  1167 no longer maintains dependencies on such files.
  1168 
  1169 * Syntax: the scope for resolving ambiguities via type-inference is
  1170 now limited to individual terms, instead of whole simultaneous
  1171 specifications as before. This greatly reduces the complexity of the
  1172 syntax module and improves flexibility by separating parsing and
  1173 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  1174 'fixes' etc.) are required in rare situations.
  1175 
  1176 * Syntax: constants introduced by new-style packages ('definition',
  1177 'abbreviation' etc.) are passed through the syntax module in
  1178 ``authentic mode''. This means that associated mixfix annotations
  1179 really stick to such constants, independently of potential name space
  1180 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  1181 trees are represented slightly differently, may need to adapt syntax
  1182 translations accordingly. Use CONST marker in 'translations' and
  1183 @{const_syntax} antiquotation in 'parse_translation' etc.
  1184 
  1185 * Legacy goal package: reduced interface to the bare minimum required
  1186 to keep existing proof scripts running.  Most other user-level
  1187 functions are now part of the OldGoals structure, which is *not* open
  1188 by default (consider isatool expandshort before open OldGoals).
  1189 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  1190 these tend to cause confusion about the actual goal (!) context being
  1191 used here, which is not necessarily the same as the_context().
  1192 
  1193 * Command 'find_theorems': supports "*" wild-card in "name:"
  1194 criterion; "with_dups" option.  Certain ProofGeneral versions might
  1195 support a specific search form (see ProofGeneral/CHANGES).
  1196 
  1197 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  1198 by default, which means that "prems" (and also "fixed variables") are
  1199 suppressed from proof state output.  Note that the ProofGeneral
  1200 settings mechanism allows to change and save options persistently, but
  1201 older versions of Isabelle will fail to start up if a negative prems
  1202 limit is imposed.
  1203 
  1204 * Local theory targets may be specified by non-nested blocks of
  1205 ``context/locale/class ... begin'' followed by ``end''.  The body may
  1206 contain definitions, theorems etc., including any derived mechanism
  1207 that has been implemented on top of these primitives.  This concept
  1208 generalizes the existing ``theorem (in ...)'' towards more versatility
  1209 and scalability.
  1210 
  1211 * Proof General interface: proper undo of final 'end' command;
  1212 discontinued Isabelle/classic mode (ML proof scripts).
  1213 
  1214 
  1215 *** Document preparation ***
  1216 
  1217 * Added antiquotation @{theory name} which prints the given name,
  1218 after checking that it refers to a valid ancestor theory in the
  1219 current context.
  1220 
  1221 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  1222 check the given source text as ML type/structure, printing verbatim.
  1223 
  1224 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  1225 "c args == rhs" given in the current context.  (Any number of
  1226 arguments may be given on the LHS.)
  1227 
  1228 
  1229 *** Pure ***
  1230 
  1231 * The 'class' package offers a combination of axclass and locale to
  1232 achieve Haskell-like type classes in Isabelle.  Definitions and
  1233 theorems within a class context produce both relative results (with
  1234 implicit parameters according to the locale context), and polymorphic
  1235 constants with qualified polymorphism (according to the class
  1236 context).  Within the body context of a 'class' target, a separate
  1237 syntax layer ("user space type system") takes care of converting
  1238 between global polymorphic consts and internal locale representation.
  1239 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  1240 "isatool doc classes" provides a tutorial.
  1241 
  1242 * Generic code generator framework allows to generate executable
  1243 code for ML and Haskell (including Isabelle classes).  A short usage
  1244 sketch:
  1245 
  1246     internal compilation:
  1247         export_code <list of constants (term syntax)> in SML
  1248     writing SML code to a file:
  1249         export_code <list of constants (term syntax)> in SML <filename>
  1250     writing OCaml code to a file:
  1251         export_code <list of constants (term syntax)> in OCaml <filename>
  1252     writing Haskell code to a bunch of files:
  1253         export_code <list of constants (term syntax)> in Haskell <filename>
  1254 
  1255     evaluating closed propositions to True/False using code generation:
  1256         method ``eval''
  1257 
  1258 Reasonable default setup of framework in HOL.
  1259 
  1260 Theorem attributs for selecting and transforming function equations theorems:
  1261 
  1262     [code fun]:        select a theorem as function equation for a specific constant
  1263     [code fun del]:    deselect a theorem as function equation for a specific constant
  1264     [code inline]:     select an equation theorem for unfolding (inlining) in place
  1265     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  1266 
  1267 User-defined serializations (target in {SML, OCaml, Haskell}):
  1268 
  1269     code_const <and-list of constants (term syntax)>
  1270       {(target) <and-list of const target syntax>}+
  1271 
  1272     code_type <and-list of type constructors>
  1273       {(target) <and-list of type target syntax>}+
  1274 
  1275     code_instance <and-list of instances>
  1276       {(target)}+
  1277         where instance ::= <type constructor> :: <class>
  1278 
  1279     code_class <and_list of classes>
  1280       {(target) <and-list of class target syntax>}+
  1281         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  1282 
  1283 code_instance and code_class only are effective to target Haskell.
  1284 
  1285 For example usage see src/HOL/ex/Codegenerator.thy and
  1286 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  1287 generation from Isabelle/HOL theories is available via "isatool doc
  1288 codegen".
  1289 
  1290 * Code generator: consts in 'consts_code' Isar commands are now
  1291 referred to by usual term syntax (including optional type
  1292 annotations).
  1293 
  1294 * Command 'no_translations' removes translation rules from theory
  1295 syntax.
  1296 
  1297 * Overloaded definitions are now actually checked for acyclic
  1298 dependencies.  The overloading scheme is slightly more general than
  1299 that of Haskell98, although Isabelle does not demand an exact
  1300 correspondence to type class and instance declarations.
  1301 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  1302 exotic versions of overloading -- at the discretion of the user!
  1303 
  1304 Polymorphic constants are represented via type arguments, i.e. the
  1305 instantiation that matches an instance against the most general
  1306 declaration given in the signature.  For example, with the declaration
  1307 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  1308 as c(nat).  Overloading is essentially simultaneous structural
  1309 recursion over such type arguments.  Incomplete specification patterns
  1310 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  1311 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  1312 Command 'print_theory' outputs the normalized system of recursive
  1313 equations, see section "definitions".
  1314 
  1315 * Configuration options are maintained within the theory or proof
  1316 context (with name and type bool/int/string), providing a very simple
  1317 interface to a poor-man's version of general context data.  Tools may
  1318 declare options in ML (e.g. using Attrib.config_int) and then refer to
  1319 these values using Config.get etc.  Users may change options via an
  1320 associated attribute of the same name.  This form of context
  1321 declaration works particularly well with commands 'declare' or
  1322 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  1323 very easy to avoid global references, which would not observe Isar
  1324 toplevel undo/redo and fail to work with multithreading.
  1325 
  1326 Various global ML references of Pure and HOL have been turned into
  1327 configuration options:
  1328 
  1329   Unify.search_bound		unify_search_bound
  1330   Unify.trace_bound		unify_trace_bound
  1331   Unify.trace_simp		unify_trace_simp
  1332   Unify.trace_types		unify_trace_types
  1333   Simplifier.simp_depth_limit	simp_depth_limit
  1334   Blast.depth_limit		blast_depth_limit
  1335   DatatypeProp.dtK		datatype_distinctness_limit
  1336   fast_arith_neq_limit  	fast_arith_neq_limit
  1337   fast_arith_split_limit	fast_arith_split_limit
  1338 
  1339 * Named collections of theorems may be easily installed as context
  1340 data using the functor NamedThmsFun (see also
  1341 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  1342 attributes; there is also a toplevel print command.  This facility is
  1343 just a common case of general context data, which is the preferred way
  1344 for anything more complex than just a list of facts in canonical
  1345 order.
  1346 
  1347 * Isar: command 'declaration' augments a local theory by generic
  1348 declaration functions written in ML.  This enables arbitrary content
  1349 being added to the context, depending on a morphism that tells the
  1350 difference of the original declaration context wrt. the application
  1351 context encountered later on.
  1352 
  1353 * Isar: proper interfaces for simplification procedures.  Command
  1354 'simproc_setup' declares named simprocs (with match patterns, and body
  1355 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  1356 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  1357 
  1358 * Isar: an extra pair of brackets around attribute declarations
  1359 abbreviates a theorem reference involving an internal dummy fact,
  1360 which will be ignored later --- only the effect of the attribute on
  1361 the background context will persist.  This form of in-place
  1362 declarations is particularly useful with commands like 'declare' and
  1363 'using', for example ``have A using [[simproc a]] by simp''.
  1364 
  1365 * Isar: method "assumption" (and implicit closing of subproofs) now
  1366 takes simple non-atomic goal assumptions into account: after applying
  1367 an assumption as a rule the resulting subgoals are solved by atomic
  1368 assumption steps.  This is particularly useful to finish 'obtain'
  1369 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  1370 without referring to the original premise "!!x. P x ==> thesis" in the
  1371 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  1372 more permissive.
  1373 
  1374 * Isar: implicit use of prems from the Isar proof context is
  1375 considered a legacy feature.  Common applications like ``have A .''
  1376 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  1377 referencing facts explicitly here improves readability and
  1378 maintainability of proof texts.
  1379 
  1380 * Isar: improper proof element 'guess' is like 'obtain', but derives
  1381 the obtained context from the course of reasoning!  For example:
  1382 
  1383   assume "EX x y. A x & B y"   -- "any previous fact"
  1384   then guess x and y by clarify
  1385 
  1386 This technique is potentially adventurous, depending on the facts and
  1387 proof tools being involved here.
  1388 
  1389 * Isar: known facts from the proof context may be specified as literal
  1390 propositions, using ASCII back-quote syntax.  This works wherever
  1391 named facts used to be allowed so far, in proof commands, proof
  1392 methods, attributes etc.  Literal facts are retrieved from the context
  1393 according to unification of type and term parameters.  For example,
  1394 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  1395 theorems in the current context, then these are valid literal facts:
  1396 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  1397 
  1398 There is also a proof method "fact" which does the same composition
  1399 for explicit goal states, e.g. the following proof texts coincide with
  1400 certain special cases of literal facts:
  1401 
  1402   have "A" by fact                 ==  note `A`
  1403   have "A ==> B" by fact           ==  note `A ==> B`
  1404   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  1405   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  1406 
  1407 * Isar: ":" (colon) is no longer a symbolic identifier character in
  1408 outer syntax.  Thus symbolic identifiers may be used without
  1409 additional white space in declarations like this: ``assume *: A''.
  1410 
  1411 * Isar: 'print_facts' prints all local facts of the current context,
  1412 both named and unnamed ones.
  1413 
  1414 * Isar: 'def' now admits simultaneous definitions, e.g.:
  1415 
  1416   def x == "t" and y == "u"
  1417 
  1418 * Isar: added command 'unfolding', which is structurally similar to
  1419 'using', but affects both the goal state and facts by unfolding given
  1420 rewrite rules.  Thus many occurrences of the 'unfold' method or
  1421 'unfolded' attribute may be replaced by first-class proof text.
  1422 
  1423 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  1424 and command 'unfolding' now all support object-level equalities
  1425 (potentially conditional).  The underlying notion of rewrite rule is
  1426 analogous to the 'rule_format' attribute, but *not* that of the
  1427 Simplifier (which is usually more generous).
  1428 
  1429 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  1430 premises of a theorem by n. Useful in conjunction with drule.
  1431 
  1432 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  1433 method expression within a sandbox consisting of the first N
  1434 sub-goals, which need to exist.  For example, ``simp_all [3]''
  1435 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  1436 simplifies all new goals that emerge from applying rule foo to the
  1437 originally first one.
  1438 
  1439 * Isar: schematic goals are no longer restricted to higher-order
  1440 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  1441 expected.
  1442 
  1443 * Isar: the conclusion of a long theorem statement is now either
  1444 'shows' (a simultaneous conjunction, as before), or 'obtains'
  1445 (essentially a disjunction of cases with local parameters and
  1446 assumptions).  The latter allows to express general elimination rules
  1447 adequately; in this notation common elimination rules look like this:
  1448 
  1449   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  1450     assumes "EX x. P x"
  1451     obtains x where "P x"
  1452 
  1453   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  1454     assumes "A & B"
  1455     obtains A and B
  1456 
  1457   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  1458     assumes "A | B"
  1459     obtains
  1460       A
  1461     | B
  1462 
  1463 The subsequent classical rules even refer to the formal "thesis"
  1464 explicitly:
  1465 
  1466   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  1467     obtains "~ thesis"
  1468 
  1469   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  1470     obtains "thesis ==> something"
  1471 
  1472 The actual proof of an 'obtains' statement is analogous to that of the
  1473 Isar proof element 'obtain', only that there may be several cases.
  1474 Optional case names may be specified in parentheses; these will be
  1475 available both in the present proof and as annotations in the
  1476 resulting rule, for later use with the 'cases' method (cf. attribute
  1477 case_names).
  1478 
  1479 * Isar: the assumptions of a long theorem statement are available as
  1480 "assms" fact in the proof context.  This is more appropriate than the
  1481 (historical) "prems", which refers to all assumptions of the current
  1482 context, including those from the target locale, proof body etc.
  1483 
  1484 * Isar: 'print_statement' prints theorems from the current theory or
  1485 proof context in long statement form, according to the syntax of a
  1486 top-level lemma.
  1487 
  1488 * Isar: 'obtain' takes an optional case name for the local context
  1489 introduction rule (default "that").
  1490 
  1491 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  1492 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  1493 to occur.
  1494 
  1495 * Pure: syntax "CONST name" produces a fully internalized constant
  1496 according to the current context.  This is particularly useful for
  1497 syntax translations that should refer to internal constant
  1498 representations independently of name spaces.
  1499 
  1500 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  1501 instead of "FOO ". This allows multiple binder declarations to coexist
  1502 in the same context.  INCOMPATIBILITY.
  1503 
  1504 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  1505 primitive that also works in a locale context (both for constants and
  1506 fixed variables). Type declaration and internal syntactic representation
  1507 of given constants retrieved from the context. Likewise, the
  1508 'no_notation' command allows to remove given syntax annotations from the
  1509 current context.
  1510 
  1511 * Isar/locales: new derived specification elements 'axiomatization',
  1512 'definition', 'abbreviation', which support type-inference, admit
  1513 object-level specifications (equality, equivalence).  See also the
  1514 isar-ref manual.  Examples:
  1515 
  1516   axiomatization
  1517     eq  (infix "===" 50) where
  1518     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  1519 
  1520   definition "f x y = x + y + 1"
  1521   definition g where "g x = f x x"
  1522 
  1523   abbreviation
  1524     neq  (infix "=!=" 50) where
  1525     "x =!= y == ~ (x === y)"
  1526 
  1527 These specifications may be also used in a locale context.  Then the
  1528 constants being introduced depend on certain fixed parameters, and the
  1529 constant name is qualified by the locale base name.  An internal
  1530 abbreviation takes care for convenient input and output, making the
  1531 parameters implicit and using the original short name.  See also
  1532 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  1533 entities from a monomorphic theory.
  1534 
  1535 Presently, abbreviations are only available 'in' a target locale, but
  1536 not inherited by general import expressions.  Also note that
  1537 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  1538 'translations' in common applications.  The "no_abbrevs" print mode
  1539 prevents folding of abbreviations in term output.
  1540 
  1541 Concrete syntax is attached to specified constants in internal form,
  1542 independently of name spaces.  The parse tree representation is
  1543 slightly different -- use 'notation' instead of raw 'syntax', and
  1544 'translations' with explicit "CONST" markup to accommodate this.
  1545 
  1546 * Pure/Isar: unified syntax for new-style specification mechanisms
  1547 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  1548 full type inference and dummy patterns ("_").  For example:
  1549 
  1550   definition "K x _ = x"
  1551 
  1552   inductive conj for A B
  1553   where "A ==> B ==> conj A B"
  1554 
  1555 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  1556 the current context.  Print mode "no_abbrevs" prevents inversion of
  1557 abbreviations on output.
  1558 
  1559 * Isar/locales: improved parameter handling: use of locales "var" and
  1560 "struct" no longer necessary; - parameter renamings are no longer
  1561 required to be injective.  For example, this allows to define
  1562 endomorphisms as locale endom = homom mult mult h.
  1563 
  1564 * Isar/locales: changed the way locales with predicates are defined.
  1565 Instead of accumulating the specification, the imported expression is
  1566 now an interpretation.  INCOMPATIBILITY: different normal form of
  1567 locale expressions.  In particular, in interpretations of locales with
  1568 predicates, goals repesenting already interpreted fragments are not
  1569 removed automatically.  Use methods `intro_locales' and
  1570 `unfold_locales'; see below.
  1571 
  1572 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  1573 provide backward reasoning on locales predicates.  The methods are
  1574 aware of interpretations and discharge corresponding goals.
  1575 `intro_locales' is less aggressive then `unfold_locales' and does not
  1576 unfold predicates to assumptions.
  1577 
  1578 * Isar/locales: the order in which locale fragments are accumulated
  1579 has changed.  This enables to override declarations from fragments due
  1580 to interpretations -- for example, unwanted simp rules.
  1581 
  1582 * Isar/locales: interpretation in theories and proof contexts has been
  1583 extended.  One may now specify (and prove) equations, which are
  1584 unfolded in interpreted theorems.  This is useful for replacing
  1585 defined concepts (constants depending on locale parameters) by
  1586 concepts already existing in the target context.  Example:
  1587 
  1588   interpretation partial_order ["op <= :: [int, int] => bool"]
  1589     where "partial_order.less (op <=) (x::int) y = (x < y)"
  1590 
  1591 Typically, the constant `partial_order.less' is created by a
  1592 definition specification element in the context of locale
  1593 partial_order.
  1594 
  1595 * Method "induct": improved internal context management to support
  1596 local fixes and defines on-the-fly. Thus explicit meta-level
  1597 connectives !!  and ==> are rarely required anymore in inductive goals
  1598 (using object-logic connectives for this purpose has been long
  1599 obsolete anyway). Common proof patterns are explained in
  1600 src/HOL/Induct/Common_Patterns.thy, see also
  1601 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  1602 examples.
  1603 
  1604 * Method "induct": improved handling of simultaneous goals. Instead of
  1605 introducing object-level conjunction, the statement is now split into
  1606 several conclusions, while the corresponding symbolic cases are nested
  1607 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  1608 see src/HOL/Induct/Common_Patterns.thy, for example.
  1609 
  1610 * Method "induct": mutual induction rules are now specified as a list
  1611 of rule sharing the same induction cases. HOL packages usually provide
  1612 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  1613 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  1614 mutual induction rules differently, i.e. like this:
  1615 
  1616   (induct rule: foo_bar.inducts)
  1617   (induct set: foo bar)
  1618   (induct pred: foo bar)
  1619   (induct type: foo bar)
  1620 
  1621 The ML function ProjectRule.projections turns old-style rules into the
  1622 new format.
  1623 
  1624 * Method "coinduct": dual of induction, see
  1625 src/HOL/Library/Coinductive_List.thy for various examples.
  1626 
  1627 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  1628 considered a legacy feature.
  1629 
  1630 * Attribute "symmetric" produces result with standardized schematic
  1631 variables (index 0).  Potential INCOMPATIBILITY.
  1632 
  1633 * Simplifier: by default the simplifier trace only shows top level
  1634 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  1635 default. Thus there is less danger of being flooded by the trace. The
  1636 trace indicates where parts have been suppressed.
  1637   
  1638 * Provers/classical: removed obsolete classical version of elim_format
  1639 attribute; classical elim/dest rules are now treated uniformly when
  1640 manipulating the claset.
  1641 
  1642 * Provers/classical: stricter checks to ensure that supplied intro,
  1643 dest and elim rules are well-formed; dest and elim rules must have at
  1644 least one premise.
  1645 
  1646 * Provers/classical: attributes dest/elim/intro take an optional
  1647 weight argument for the rule (just as the Pure versions).  Weights are
  1648 ignored by automated tools, but determine the search order of single
  1649 rule steps.
  1650 
  1651 * Syntax: input syntax now supports dummy variable binding "%_. b",
  1652 where the body does not mention the bound variable.  Note that dummy
  1653 patterns implicitly depend on their context of bounds, which makes
  1654 "{_. _}" match any set comprehension as expected.  Potential
  1655 INCOMPATIBILITY -- parse translations need to cope with syntactic
  1656 constant "_idtdummy" in the binding position.
  1657 
  1658 * Syntax: removed obsolete syntactic constant "_K" and its associated
  1659 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  1660 for example "A -> B" => "Pi A (%_. B)".
  1661 
  1662 * Pure: 'class_deps' command visualizes the subclass relation, using
  1663 the graph browser tool.
  1664 
  1665 * Pure: 'print_theory' now suppresses certain internal declarations by
  1666 default; use '!' option for full details.
  1667 
  1668 
  1669 *** HOL ***
  1670 
  1671 * Method "metis" proves goals by applying the Metis general-purpose
  1672 resolution prover (see also http://gilith.com/software/metis/).
  1673 Examples are in the directory MetisExamples.  WARNING: the
  1674 Isabelle/HOL-Metis integration does not yet work properly with
  1675 multi-threading.
  1676   
  1677 * Command 'sledgehammer' invokes external automatic theorem provers as
  1678 background processes.  It generates calls to the "metis" method if
  1679 successful. These can be pasted into the proof.  Users do not have to
  1680 wait for the automatic provers to return.  WARNING: does not really
  1681 work with multi-threading.
  1682 
  1683 * New "auto_quickcheck" feature tests outermost goal statements for
  1684 potential counter-examples.  Controlled by ML references
  1685 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  1686 5000 milliseconds).  Fails silently if statements is outside of
  1687 executable fragment, or any other codgenerator problem occurs.
  1688 
  1689 * New constant "undefined" with axiom "undefined x = undefined".
  1690 
  1691 * Added class "HOL.eq", allowing for code generation with polymorphic
  1692 equality.
  1693 
  1694 * Some renaming of class constants due to canonical name prefixing in
  1695 the new 'class' package:
  1696 
  1697     HOL.abs ~> HOL.abs_class.abs
  1698     HOL.divide ~> HOL.divide_class.divide
  1699     0 ~> HOL.zero_class.zero
  1700     1 ~> HOL.one_class.one
  1701     op + ~> HOL.plus_class.plus
  1702     op - ~> HOL.minus_class.minus
  1703     uminus ~> HOL.minus_class.uminus
  1704     op * ~> HOL.times_class.times
  1705     op < ~> HOL.ord_class.less
  1706     op <= > HOL.ord_class.less_eq
  1707     Nat.power ~> Power.power_class.power
  1708     Nat.size ~> Nat.size_class.size
  1709     Numeral.number_of ~> Numeral.number_class.number_of
  1710     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  1711     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  1712     Orderings.min ~> Orderings.ord_class.min
  1713     Orderings.max ~> Orderings.ord_class.max
  1714     Divides.op div ~> Divides.div_class.div
  1715     Divides.op mod ~> Divides.div_class.mod
  1716     Divides.op dvd ~> Divides.div_class.dvd
  1717 
  1718 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  1719 
  1720 a) User-defined constants using any of the names "plus", "minus",
  1721 "times", "less" or "less_eq". The standard syntax translations for
  1722 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  1723 names.
  1724 
  1725 b) Variables named "plus", "minus", "times", "less", "less_eq"
  1726 INCOMPATIBILITY: use more specific names.
  1727 
  1728 c) Permutative equations (e.g. "a + b = b + a")
  1729 Since the change of names also changes the order of terms, permutative
  1730 rewrite rules may get applied in a different order. Experience shows
  1731 that this is rarely the case (only two adaptions in the whole Isabelle
  1732 distribution).  INCOMPATIBILITY: rewrite proofs
  1733 
  1734 d) ML code directly refering to constant names
  1735 This in general only affects hand-written proof tactics, simprocs and
  1736 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  1737 Consider using @{const_name} antiquotation.
  1738 
  1739 * New class "default" with associated constant "default".
  1740 
  1741 * Function "sgn" is now overloaded and available on int, real, complex
  1742 (and other numeric types), using class "sgn".  Two possible defs of
  1743 sgn are given as equational assumptions in the classes sgn_if and
  1744 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  1745 INCOMPATIBILITY.
  1746 
  1747 * Locale "partial_order" now unified with class "order" (cf. theory
  1748 Orderings), added parameter "less".  INCOMPATIBILITY.
  1749 
  1750 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  1751 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  1752 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  1753 
  1754 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  1755 changed order of proof goals in instance proofs.
  1756 
  1757 * The transitivity reasoner for partial and linear orders is set up
  1758 for classes "order" and "linorder".  Instances of the reasoner are available
  1759 in all contexts importing or interpreting the corresponding locales.
  1760 Method "order" invokes the reasoner separately; the reasoner
  1761 is also integrated with the Simplifier as a solver.  Diagnostic
  1762 command 'print_orders' shows the available instances of the reasoner
  1763 in the current context.
  1764 
  1765 * Localized monotonicity predicate in theory "Orderings"; integrated
  1766 lemmas max_of_mono and min_of_mono with this predicate.
  1767 INCOMPATIBILITY.
  1768 
  1769 * Formulation of theorem "dense" changed slightly due to integration
  1770 with new class dense_linear_order.
  1771 
  1772 * Uniform lattice theory development in HOL.
  1773 
  1774     constants "meet" and "join" now named "inf" and "sup"
  1775     constant "Meet" now named "Inf"
  1776 
  1777     classes "meet_semilorder" and "join_semilorder" now named
  1778       "lower_semilattice" and "upper_semilattice"
  1779     class "lorder" now named "lattice"
  1780     class "comp_lat" now named "complete_lattice"
  1781 
  1782     Instantiation of lattice classes allows explicit definitions
  1783     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  1784 
  1785   INCOMPATIBILITY.  Theorem renames:
  1786 
  1787     meet_left_le            ~> inf_le1
  1788     meet_right_le           ~> inf_le2
  1789     join_left_le            ~> sup_ge1
  1790     join_right_le           ~> sup_ge2
  1791     meet_join_le            ~> inf_sup_ord
  1792     le_meetI                ~> le_infI
  1793     join_leI                ~> le_supI
  1794     le_meet                 ~> le_inf_iff
  1795     le_join                 ~> ge_sup_conv
  1796     meet_idempotent         ~> inf_idem
  1797     join_idempotent         ~> sup_idem
  1798     meet_comm               ~> inf_commute
  1799     join_comm               ~> sup_commute
  1800     meet_leI1               ~> le_infI1
  1801     meet_leI2               ~> le_infI2
  1802     le_joinI1               ~> le_supI1
  1803     le_joinI2               ~> le_supI2
  1804     meet_assoc              ~> inf_assoc
  1805     join_assoc              ~> sup_assoc
  1806     meet_left_comm          ~> inf_left_commute
  1807     meet_left_idempotent    ~> inf_left_idem
  1808     join_left_comm          ~> sup_left_commute
  1809     join_left_idempotent    ~> sup_left_idem
  1810     meet_aci                ~> inf_aci
  1811     join_aci                ~> sup_aci
  1812     le_def_meet             ~> le_iff_inf
  1813     le_def_join             ~> le_iff_sup
  1814     join_absorp2            ~> sup_absorb2
  1815     join_absorp1            ~> sup_absorb1
  1816     meet_absorp1            ~> inf_absorb1
  1817     meet_absorp2            ~> inf_absorb2
  1818     meet_join_absorp        ~> inf_sup_absorb
  1819     join_meet_absorp        ~> sup_inf_absorb
  1820     distrib_join_le         ~> distrib_sup_le
  1821     distrib_meet_le         ~> distrib_inf_le
  1822 
  1823     add_meet_distrib_left   ~> add_inf_distrib_left
  1824     add_join_distrib_left   ~> add_sup_distrib_left
  1825     is_join_neg_meet        ~> is_join_neg_inf
  1826     is_meet_neg_join        ~> is_meet_neg_sup
  1827     add_meet_distrib_right  ~> add_inf_distrib_right
  1828     add_join_distrib_right  ~> add_sup_distrib_right
  1829     add_meet_join_distribs  ~> add_sup_inf_distribs
  1830     join_eq_neg_meet        ~> sup_eq_neg_inf
  1831     meet_eq_neg_join        ~> inf_eq_neg_sup
  1832     add_eq_meet_join        ~> add_eq_inf_sup
  1833     meet_0_imp_0            ~> inf_0_imp_0
  1834     join_0_imp_0            ~> sup_0_imp_0
  1835     meet_0_eq_0             ~> inf_0_eq_0
  1836     join_0_eq_0             ~> sup_0_eq_0
  1837     neg_meet_eq_join        ~> neg_inf_eq_sup
  1838     neg_join_eq_meet        ~> neg_sup_eq_inf
  1839     join_eq_if              ~> sup_eq_if
  1840 
  1841     mono_meet               ~> mono_inf
  1842     mono_join               ~> mono_sup
  1843     meet_bool_eq            ~> inf_bool_eq
  1844     join_bool_eq            ~> sup_bool_eq
  1845     meet_fun_eq             ~> inf_fun_eq
  1846     join_fun_eq             ~> sup_fun_eq
  1847     meet_set_eq             ~> inf_set_eq
  1848     join_set_eq             ~> sup_set_eq
  1849     meet1_iff               ~> inf1_iff
  1850     meet2_iff               ~> inf2_iff
  1851     meet1I                  ~> inf1I
  1852     meet2I                  ~> inf2I
  1853     meet1D1                 ~> inf1D1
  1854     meet2D1                 ~> inf2D1
  1855     meet1D2                 ~> inf1D2
  1856     meet2D2                 ~> inf2D2
  1857     meet1E                  ~> inf1E
  1858     meet2E                  ~> inf2E
  1859     join1_iff               ~> sup1_iff
  1860     join2_iff               ~> sup2_iff
  1861     join1I1                 ~> sup1I1
  1862     join2I1                 ~> sup2I1
  1863     join1I1                 ~> sup1I1
  1864     join2I2                 ~> sup1I2
  1865     join1CI                 ~> sup1CI
  1866     join2CI                 ~> sup2CI
  1867     join1E                  ~> sup1E
  1868     join2E                  ~> sup2E
  1869 
  1870     is_meet_Meet            ~> is_meet_Inf
  1871     Meet_bool_def           ~> Inf_bool_def
  1872     Meet_fun_def            ~> Inf_fun_def
  1873     Meet_greatest           ~> Inf_greatest
  1874     Meet_lower              ~> Inf_lower
  1875     Meet_set_def            ~> Inf_set_def
  1876 
  1877     Sup_def                 ~> Sup_Inf
  1878     Sup_bool_eq             ~> Sup_bool_def
  1879     Sup_fun_eq              ~> Sup_fun_def
  1880     Sup_set_eq              ~> Sup_set_def
  1881 
  1882     listsp_meetI            ~> listsp_infI
  1883     listsp_meet_eq          ~> listsp_inf_eq
  1884 
  1885     meet_min                ~> inf_min
  1886     join_max                ~> sup_max
  1887 
  1888 * Added syntactic class "size"; overloaded constant "size" now has
  1889 type "'a::size ==> bool"
  1890 
  1891 * Internal reorganisation of `size' of datatypes: size theorems
  1892 "foo.size" are no longer subsumed by "foo.simps" (but are still
  1893 simplification rules by default!); theorems "prod.size" now named
  1894 "*.size".
  1895 
  1896 * Class "div" now inherits from class "times" rather than "type".
  1897 INCOMPATIBILITY.
  1898 
  1899 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  1900 Linorder etc.  have disappeared; operations defined in terms of
  1901 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  1902 
  1903 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  1904 
  1905 * HOL-Word: New extensive library and type for generic, fixed size
  1906 machine words, with arithemtic, bit-wise, shifting and rotating
  1907 operations, reflection into int, nat, and bool lists, automation for
  1908 linear arithmetic (by automatic reflection into nat or int), including
  1909 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  1910 arithmetic type classes, supporting automatic simplification of
  1911 numerals on all operations.
  1912 
  1913 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  1914 
  1915 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  1916 
  1917 * Code generator library theories:
  1918   - Code_Integer represents HOL integers by big integer literals in target
  1919     languages.
  1920   - Code_Char represents HOL characters by character literals in target
  1921     languages.
  1922   - Code_Char_chr like Code_Char, but also offers treatment of character
  1923     codes; includes Code_Integer.
  1924   - Executable_Set allows to generate code for finite sets using lists.
  1925   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  1926     denominator).
  1927   - Executable_Real implements a subset of real numbers, namly those
  1928     representable by rational numbers.
  1929   - Efficient_Nat implements natural numbers by integers, which in general will
  1930     result in higher efficency; pattern matching with 0/Suc is eliminated;
  1931     includes Code_Integer.
  1932   - Code_Index provides an additional datatype index which is mapped to
  1933     target-language built-in integers.
  1934   - Code_Message provides an additional datatype message_string which is isomorphic to
  1935     strings; messages are mapped to target-language strings.
  1936 
  1937 * New package for inductive predicates
  1938 
  1939   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  1940 
  1941     inductive
  1942       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  1943       for z_1 :: U_1 and ... and z_n :: U_m
  1944     where
  1945       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  1946     | ...
  1947 
  1948   with full support for type-inference, rather than
  1949 
  1950     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  1951 
  1952     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  1953     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  1954 
  1955     inductive "s z_1 ... z_m"
  1956     intros
  1957       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  1958       ...
  1959 
  1960   For backward compatibility, there is a wrapper allowing inductive
  1961   sets to be defined with the new package via
  1962 
  1963     inductive_set
  1964       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  1965       for z_1 :: U_1 and ... and z_n :: U_m
  1966     where
  1967       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  1968     | ...
  1969 
  1970   or
  1971 
  1972     inductive_set
  1973       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  1974       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  1975       for z_1 :: U_1 and ... and z_n :: U_m
  1976     where
  1977       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  1978     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  1979     | ...
  1980 
  1981   if the additional syntax "p ..." is required.
  1982 
  1983   Numerous examples can be found in the subdirectories src/HOL/Auth,
  1984   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  1985 
  1986   INCOMPATIBILITIES:
  1987 
  1988   - Since declaration and definition of inductive sets or predicates
  1989     is no longer separated, abbreviations involving the newly
  1990     introduced sets or predicates must be specified together with the
  1991     introduction rules after the 'where' keyword (see above), rather
  1992     than before the actual inductive definition.
  1993 
  1994   - The variables in induction and elimination rules are now
  1995     quantified in the order of their occurrence in the introduction
  1996     rules, rather than in alphabetical order. Since this may break
  1997     some proofs, these proofs either have to be repaired, e.g. by
  1998     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  1999     statements of the form
  2000 
  2001       case (rule_i a_i_1 ... a_i_{k_i})
  2002 
  2003     or the old order of quantification has to be restored by explicitly adding
  2004     meta-level quantifiers in the introduction rules, i.e.
  2005 
  2006       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  2007 
  2008   - The format of the elimination rules is now
  2009 
  2010       p z_1 ... z_m x_1 ... x_n ==>
  2011         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2012         ==> ... ==> P
  2013 
  2014     for predicates and
  2015 
  2016       (x_1, ..., x_n) : s z_1 ... z_m ==>
  2017         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2018         ==> ... ==> P
  2019 
  2020     for sets rather than
  2021 
  2022       x : s z_1 ... z_m ==>
  2023         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  2024         ==> ... ==> P
  2025 
  2026     This may require terms in goals to be expanded to n-tuples
  2027     (e.g. using case_tac or simplification with the split_paired_all
  2028     rule) before the above elimination rule is applicable.
  2029 
  2030   - The elimination or case analysis rules for (mutually) inductive
  2031     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  2032     list of rules "p_1_..._p_k.elims" is no longer available.
  2033 
  2034 * New package "function"/"fun" for general recursive functions,
  2035 supporting mutual and nested recursion, definitions in local contexts,
  2036 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  2037 for small examples, and the separate tutorial on the function
  2038 package. The old recdef "package" is still available as before, but
  2039 users are encouraged to use the new package.
  2040 
  2041 * Method "lexicographic_order" automatically synthesizes termination
  2042 relations as lexicographic combinations of size measures. 
  2043 
  2044 * Case-expressions allow arbitrary constructor-patterns (including
  2045 "_") and take their order into account, like in functional
  2046 programming.  Internally, this is translated into nested
  2047 case-expressions; missing cases are added and mapped to the predefined
  2048 constant "undefined". In complicated cases printing may no longer show
  2049 the original input but the internal form. Lambda-abstractions allow
  2050 the same form of pattern matching: "% pat1 => e1 | ..." is an
  2051 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  2052 variable.
  2053 
  2054 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  2055 is an abbreviation for "of_nat :: nat => int". The simplification
  2056 rules for "of_nat" have been changed to work like "int" did
  2057 previously.  Potential INCOMPATIBILITY:
  2058   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  2059   - of_nat_diff and of_nat_mult are no longer default simp rules
  2060 
  2061 * Method "algebra" solves polynomial equations over (semi)rings using
  2062 Groebner bases. The (semi)ring structure is defined by locales and the
  2063 tool setup depends on that generic context. Installing the method for
  2064 a specific type involves instantiating the locale and possibly adding
  2065 declarations for computation on the coefficients.  The method is
  2066 already instantiated for natural numbers and for the axiomatic class
  2067 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  2068 CALCULEMUS 2007 for the general principles underlying this
  2069 architecture of context-aware proof-tools.
  2070 
  2071 * Method "ferrack" implements quantifier elimination over
  2072 special-purpose dense linear orders using locales (analogous to
  2073 "algebra"). The method is already installed for class
  2074 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  2075 rat, etc.
  2076 
  2077 * Former constant "List.op @" now named "List.append".  Use ML
  2078 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  2079 circumvent possible incompatibilities when working on ML level.
  2080 
  2081 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  2082 
  2083 * New function listsum :: 'a list => 'a for arbitrary monoids.
  2084 Special syntax: "SUM x <- xs. f x" (and latex variants)
  2085 
  2086 * New syntax for Haskell-like list comprehension (input only), eg.
  2087 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  2088 
  2089 * The special syntax for function "filter" has changed from [x :
  2090 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  2091 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  2092 
  2093 * [a..b] is now defined for arbitrary linear orders.  It used to be
  2094 defined on nat only, as an abbreviation for [a..<Suc b]
  2095 INCOMPATIBILITY.
  2096 
  2097 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  2098 
  2099 * New functions "sorted" and "sort" in src/HOL/List.thy.
  2100 
  2101 * New lemma collection field_simps (an extension of ring_simps) for
  2102 manipulating (in)equations involving division. Multiplies with all
  2103 denominators that can be proved to be non-zero (in equations) or
  2104 positive/negative (in inequations).
  2105 
  2106 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  2107 have been improved and renamed to ring_simps, group_simps and
  2108 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  2109 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  2110 
  2111 * Theory Library/Commutative_Ring: switched from recdef to function
  2112 package; constants add, mul, pow now curried.  Infix syntax for
  2113 algebraic operations.
  2114 
  2115 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  2116 INCOMPATIBILITY.
  2117 
  2118 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  2119 INCOMPATIBILITY.
  2120 
  2121 * HOL/records: generalised field-update to take a function on the
  2122 field rather than the new value: r(|A := x|) is translated to A_update
  2123 (K x) r The K-combinator that is internally used is called K_record.
  2124 INCOMPATIBILITY: Usage of the plain update functions has to be
  2125 adapted.
  2126  
  2127 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  2128 * x = 0, which are required for a semiring.  Richer structures do not
  2129 inherit from semiring_0 anymore, because this property is a theorem
  2130 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  2131 there is more to prove, but this is mostly trivial.
  2132 
  2133 * Class "recpower" is generalized to arbitrary monoids, not just
  2134 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  2135 commutativity or semiring properties additionally.
  2136 
  2137 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  2138 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  2139 better use 'abbreviation'.
  2140 
  2141 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  2142 
  2143 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  2144 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  2145 significant changes for setting up numeral syntax for types:
  2146   - New constants Numeral.pred and Numeral.succ instead
  2147       of former Numeral.bin_pred and Numeral.bin_succ.
  2148   - Use integer operations instead of bin_add, bin_mult and so on.
  2149   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  2150   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  2151 
  2152 See src/HOL/Integ/IntArith.thy for an example setup.
  2153 
  2154 * Command 'normal_form' computes the normal form of a term that may
  2155 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  2156 produces ``[b, c, a]'' (without proof).  This command is suitable for
  2157 heavy-duty computations because the functions are compiled to ML
  2158 first.  Correspondingly, a method "normalization" is provided.  See
  2159 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  2160 
  2161 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  2162 25 like -->); output depends on the "iff" print_mode, the default is
  2163 "A = B" (with priority 50).
  2164 
  2165 * Relations less (<) and less_eq (<=) are also available on type bool.
  2166 Modified syntax to disallow nesting without explicit parentheses,
  2167 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  2168 INCOMPATIBILITY.
  2169 
  2170 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  2171 
  2172 * Relation composition operator "op O" now has precedence 75 and binds
  2173 stronger than union and intersection. INCOMPATIBILITY.
  2174 
  2175 * The old set interval syntax "{m..n(}" (and relatives) has been
  2176 removed.  Use "{m..<n}" (and relatives) instead.
  2177 
  2178 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  2179 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  2180 ``declare [[simproc del: neq]]''.
  2181 
  2182 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  2183 True/False.
  2184 
  2185 * Theorem Cons_eq_map_conv no longer declared as "simp".
  2186 
  2187 * Theorem setsum_mult renamed to setsum_right_distrib.
  2188 
  2189 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  2190 ``rule'' method.
  2191 
  2192 * Reimplemented methods "sat" and "satx", with several improvements:
  2193 goals no longer need to be stated as "<prems> ==> False", equivalences
  2194 (i.e. "=" on type bool) are handled, variable names of the form
  2195 "lit_<n>" are no longer reserved, significant speedup.
  2196 
  2197 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  2198 zChaff is still supported as well.
  2199 
  2200 * 'inductive' and 'datatype': provide projections of mutual rules,
  2201 bundled as foo_bar.inducts;
  2202 
  2203 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  2204 Library.
  2205 
  2206 * Library: moved theory Accessible_Part to main HOL.
  2207 
  2208 * Library: added theory Coinductive_List of potentially infinite lists
  2209 as greatest fixed-point.
  2210 
  2211 * Library: added theory AssocList which implements (finite) maps as
  2212 association lists.
  2213 
  2214 * Method "evaluation" solves goals (i.e. a boolean expression)
  2215 efficiently by compiling it to ML.  The goal is "proved" (via an
  2216 oracle) if it evaluates to True.
  2217 
  2218 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  2219 also when invoked by the simplifier.  This results in the Simplifier
  2220 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  2221 Configuration option fast_arith_split_limit=0 recovers the old
  2222 behavior.
  2223 
  2224 * Support for hex (0x20) and binary (0b1001) numerals.
  2225 
  2226 * New method: reify eqs (t), where eqs are equations for an
  2227 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  2228 parameter, computes a term s::'b and a list xs::'a list and proves the
  2229 theorem I xs s = t. This is also known as reification or quoting. The
  2230 resulting theorem is applied to the subgoal to substitute t with I xs
  2231 s.  If t is omitted, the subgoal itself is reified.
  2232 
  2233 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  2234 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  2235 where f is supposed to be a computable function (in the sense of code
  2236 generattion). The method uses reify to compute s and xs as above then
  2237 applies corr_thm and uses normalization by evaluation to "prove" f s =
  2238 r and finally gets the theorem t = r, which is again applied to the
  2239 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  2240 
  2241 * Reflection: Automatic reification now handels binding, an example is
  2242 available in src/HOL/ex/ReflectionEx.thy
  2243 
  2244 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  2245 command 'statespace' that is similar to 'record', but introduces an
  2246 abstract specification based on the locale infrastructure instead of
  2247 HOL types.  This leads to extra flexibility in composing state spaces,
  2248 in particular multiple inheritance and renaming of components.
  2249 
  2250 
  2251 *** HOL-Complex ***
  2252 
  2253 * Hyperreal: Functions root and sqrt are now defined on negative real
  2254 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  2255 Nonnegativity side conditions have been removed from many lemmas, so
  2256 that more subgoals may now be solved by simplification; potential
  2257 INCOMPATIBILITY.
  2258 
  2259 * Real: new type classes formalize real normed vector spaces and
  2260 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  2261 and norm :: 'a => real.
  2262 
  2263 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  2264 reals into other types. The overloaded constant Reals :: 'a set is now
  2265 defined as range of_real; potential INCOMPATIBILITY.
  2266 
  2267 * Real: proper support for ML code generation, including 'quickcheck'.
  2268 Reals are implemented as arbitrary precision rationals.
  2269 
  2270 * Hyperreal: Several constants that previously worked only for the
  2271 reals have been generalized, so they now work over arbitrary vector
  2272 spaces. Type annotations may need to be added in some cases; potential
  2273 INCOMPATIBILITY.
  2274 
  2275   Infinitesimal  :: ('a::real_normed_vector) star set
  2276   HFinite        :: ('a::real_normed_vector) star set
  2277   HInfinite      :: ('a::real_normed_vector) star set
  2278   approx         :: ('a::real_normed_vector) star => 'a star => bool
  2279   monad          :: ('a::real_normed_vector) star => 'a star set
  2280   galaxy         :: ('a::real_normed_vector) star => 'a star set
  2281   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  2282   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  2283   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  2284   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  2285   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  2286   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  2287   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  2288   sgn            :: 'a::real_normed_vector => 'a
  2289   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  2290 
  2291 * Complex: Some complex-specific constants are now abbreviations for
  2292 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  2293 hnorm.  Other constants have been entirely removed in favor of the
  2294 polymorphic versions (INCOMPATIBILITY):
  2295 
  2296   approx        <-- capprox
  2297   HFinite       <-- CFinite
  2298   HInfinite     <-- CInfinite
  2299   Infinitesimal <-- CInfinitesimal
  2300   monad         <-- cmonad
  2301   galaxy        <-- cgalaxy
  2302   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  2303   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  2304   (ns)deriv     <-- (ns)cderiv
  2305 
  2306 
  2307 *** HOL-Algebra ***
  2308 
  2309 * Formalisation of ideals and the quotient construction over rings.
  2310 
  2311 * Order and lattice theory no longer based on records.
  2312 INCOMPATIBILITY.
  2313 
  2314 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  2315 greatest_closed.  INCOMPATIBILITY.
  2316 
  2317 * Method algebra is now set up via an attribute.  For examples see
  2318 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  2319 of algebraic structures.
  2320 
  2321 * Renamed theory CRing to Ring.
  2322 
  2323 
  2324 *** HOL-Nominal ***
  2325 
  2326 * Substantial, yet incomplete support for nominal datatypes (binding
  2327 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  2328 src/HOL/Nominal/Examples.  Prospective users should consult
  2329 http://isabelle.in.tum.de/nominal/
  2330 
  2331 
  2332 *** ML ***
  2333 
  2334 * ML basics: just one true type int, which coincides with IntInf.int
  2335 (even on SML/NJ).
  2336 
  2337 * ML within Isar: antiquotations allow to embed statically-checked
  2338 formal entities in the source, referring to the context available at
  2339 compile-time.  For example:
  2340 
  2341 ML {* @{sort "{zero,one}"} *}
  2342 ML {* @{typ "'a => 'b"} *}
  2343 ML {* @{term "%x. x"} *}
  2344 ML {* @{prop "x == y"} *}
  2345 ML {* @{ctyp "'a => 'b"} *}
  2346 ML {* @{cterm "%x. x"} *}
  2347 ML {* @{cprop "x == y"} *}
  2348 ML {* @{thm asm_rl} *}
  2349 ML {* @{thms asm_rl} *}
  2350 ML {* @{type_name c} *}
  2351 ML {* @{type_syntax c} *}
  2352 ML {* @{const_name c} *}
  2353 ML {* @{const_syntax c} *}
  2354 ML {* @{context} *}
  2355 ML {* @{theory} *}
  2356 ML {* @{theory Pure} *}
  2357 ML {* @{theory_ref} *}
  2358 ML {* @{theory_ref Pure} *}
  2359 ML {* @{simpset} *}
  2360 ML {* @{claset} *}
  2361 ML {* @{clasimpset} *}
  2362 
  2363 The same works for sources being ``used'' within an Isar context.
  2364 
  2365 * ML in Isar: improved error reporting; extra verbosity with
  2366 ML_Context.trace enabled.
  2367 
  2368 * Pure/General/table.ML: the join operations now works via exceptions
  2369 DUP/SAME instead of type option. This is simpler in simple cases, and
  2370 admits slightly more efficient complex applications.
  2371 
  2372 * Pure: 'advanced' translation functions (parse_translation etc.) now
  2373 use Context.generic instead of just theory.
  2374 
  2375 * Pure: datatype Context.generic joins theory/Proof.context and
  2376 provides some facilities for code that works in either kind of
  2377 context, notably GenericDataFun for uniform theory and proof data.
  2378 
  2379 * Pure: simplified internal attribute type, which is now always
  2380 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  2381 local (Proof.context) attributes have been discontinued, while
  2382 minimizing code duplication. Thm.rule_attribute and
  2383 Thm.declaration_attribute build canonical attributes; see also structure
  2384 Context for further operations on Context.generic, notably
  2385 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  2386 declarations and definitions.
  2387 
  2388 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  2389 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  2390 init only required for impure data. INCOMPATIBILITY: empty really need
  2391 to be empty (no dependencies on theory content!)
  2392 
  2393 * Pure/kernel: consts certification ignores sort constraints given in
  2394 signature declarations. (This information is not relevant to the
  2395 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  2396 potential INCOMPATIBILITY.
  2397 
  2398 * Pure: axiomatic type classes are now purely definitional, with
  2399 explicit proofs of class axioms and super class relations performed
  2400 internally. See Pure/axclass.ML for the main internal interfaces --
  2401 notably AxClass.define_class supercedes AxClass.add_axclass, and
  2402 AxClass.axiomatize_class/classrel/arity supersede
  2403 Sign.add_classes/classrel/arities.
  2404 
  2405 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  2406 global/local versions on theory vs. Proof.context have been
  2407 discontinued; Attrib.syntax and Method.syntax have been adapted
  2408 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  2409 attributes, methods, etc.
  2410 
  2411 * Pure: several functions of signature "... -> theory -> theory * ..."
  2412 have been reoriented to "... -> theory -> ... * theory" in order to
  2413 allow natural usage in combination with the ||>, ||>>, |-> and
  2414 fold_map combinators.
  2415 
  2416 * Pure: official theorem names (closed derivations) and additional
  2417 comments (tags) are now strictly separate.  Name hints -- which are
  2418 maintained as tags -- may be attached any time without affecting the
  2419 derivation.
  2420 
  2421 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  2422 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  2423 achieve the old behaviour.
  2424 
  2425 * Pure: the "Goal" constant is now called "prop", supporting a
  2426 slightly more general idea of ``protecting'' meta-level rule
  2427 statements.
  2428 
  2429 * Pure: Logic.(un)varify only works in a global context, which is now
  2430 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  2431 Logic.legacy_(un)varify as temporary workaround.
  2432 
  2433 * Pure: structure Name provides scalable operations for generating
  2434 internal variable names, notably Name.variants etc.  This replaces
  2435 some popular functions from term.ML:
  2436 
  2437   Term.variant		->  Name.variant
  2438   Term.variantlist	->  Name.variant_list
  2439   Term.invent_names	->  Name.invent_list
  2440 
  2441 Note that low-level renaming rarely occurs in new code -- operations
  2442 from structure Variable are used instead (see below).
  2443 
  2444 * Pure: structure Variable provides fundamental operations for proper
  2445 treatment of fixed/schematic variables in a context.  For example,
  2446 Variable.import introduces fixes for schematics of given facts and
  2447 Variable.export reverses the effect (up to renaming) -- this replaces
  2448 various freeze_thaw operations.
  2449 
  2450 * Pure: structure Goal provides simple interfaces for
  2451 init/conclude/finish and tactical prove operations (replacing former
  2452 Tactic.prove).  Goal.prove is the canonical way to prove results
  2453 within a given context; Goal.prove_global is a degraded version for
  2454 theory level goals, including a global Drule.standard.  Note that
  2455 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  2456 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  2457 in a locale context).
  2458 
  2459 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  2460 and type checking (Syntax.check_term etc.), with common combinations
  2461 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  2462 which are considered legacy and await removal.
  2463 
  2464 * Pure/Syntax: generic interfaces for type unchecking
  2465 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  2466 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  2467 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  2468 available for convenience, but refer to the very same operations using
  2469 a mere theory instead of a full context.
  2470 
  2471 * Isar: simplified treatment of user-level errors, using exception
  2472 ERROR of string uniformly.  Function error now merely raises ERROR,
  2473 without any side effect on output channels.  The Isar toplevel takes
  2474 care of proper display of ERROR exceptions.  ML code may use plain
  2475 handle/can/try; cat_error may be used to concatenate errors like this:
  2476 
  2477   ... handle ERROR msg => cat_error msg "..."
  2478 
  2479 Toplevel ML code (run directly or through the Isar toplevel) may be
  2480 embedded into the Isar toplevel with exception display/debug like
  2481 this:
  2482 
  2483   Isar.toplevel (fn () => ...)
  2484 
  2485 INCOMPATIBILITY, removed special transform_error facilities, removed
  2486 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  2487 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  2488 -- use plain ERROR instead.
  2489 
  2490 * Isar: theory setup now has type (theory -> theory), instead of a
  2491 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  2492 
  2493 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  2494 ProofContext.debug/verbose flags.
  2495 
  2496 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  2497 theory before entering a proof state.  Transactions now always see a
  2498 quasi-functional intermediate checkpoint, both in interactive and
  2499 batch mode.
  2500 
  2501 * Isar: simplified interfaces for outer syntax.  Renamed
  2502 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  2503 OuterSyntax.add_parsers -- this functionality is now included in
  2504 OuterSyntax.command etc.  INCOMPATIBILITY.
  2505 
  2506 * Simplifier: the simpset of a running simplification process now
  2507 contains a proof context (cf. Simplifier.the_context), which is the
  2508 very context that the initial simpset has been retrieved from (by
  2509 simpset_of/local_simpset_of).  Consequently, all plug-in components
  2510 (solver, looper etc.) may depend on arbitrary proof data.
  2511 
  2512 * Simplifier.inherit_context inherits the proof context (plus the
  2513 local bounds) of the current simplification process; any simproc
  2514 etc. that calls the Simplifier recursively should do this!  Removed
  2515 former Simplifier.inherit_bounds, which is already included here --
  2516 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  2517 specify an explicit context using Simplifier.context/theory_context.
  2518 
  2519 * Simplifier/Classical Reasoner: more abstract interfaces
  2520 change_simpset/claset for modifying the simpset/claset reference of a
  2521 theory; raw versions simpset/claset_ref etc. have been discontinued --
  2522 INCOMPATIBILITY.
  2523 
  2524 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  2525 "Trueprop" etc.
  2526 
  2527 
  2528 *** System ***
  2529 
  2530 * settings: the default heap location within ISABELLE_HOME_USER now
  2531 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  2532 Isabelle installations.
  2533 
  2534 * isabelle-process: option -S (secure mode) disables some critical
  2535 operations, notably runtime compilation and evaluation of ML source
  2536 code.
  2537 
  2538 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  2539 
  2540 * Support for parallel execution, using native multicore support of
  2541 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  2542 independent theories, according to the given theory header
  2543 specifications. The maximum number of worker threads is specified via
  2544 usedir option -M or the "max-threads" setting in Proof General. A
  2545 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  2546 to 6 on a 8-core machine.  User-code needs to observe certain
  2547 guidelines for thread-safe programming, see appendix A in the Isar
  2548 Implementation manual.
  2549 
  2550 
  2551 
  2552 New in Isabelle2005 (October 2005)
  2553 ----------------------------------
  2554 
  2555 *** General ***
  2556 
  2557 * Theory headers: the new header syntax for Isar theories is
  2558 
  2559   theory <name>
  2560   imports <theory1> ... <theoryN>
  2561   uses <file1> ... <fileM>
  2562   begin
  2563 
  2564 where the 'uses' part is optional.  The previous syntax
  2565 
  2566   theory <name> = <theory1> + ... + <theoryN>:
  2567 
  2568 will disappear in the next release.  Use isatool fixheaders to convert
  2569 existing theory files.  Note that there is no change in ancient
  2570 non-Isar theories now, but these will disappear soon.
  2571 
  2572 * Theory loader: parent theories can now also be referred to via
  2573 relative and absolute paths.
  2574 
  2575 * Command 'find_theorems' searches for a list of criteria instead of a
  2576 list of constants. Known criteria are: intro, elim, dest, name:string,
  2577 simp:term, and any term. Criteria can be preceded by '-' to select
  2578 theorems that do not match. Intro, elim, dest select theorems that
  2579 match the current goal, name:s selects theorems whose fully qualified
  2580 name contain s, and simp:term selects all simplification rules whose
  2581 lhs match term.  Any other term is interpreted as pattern and selects
  2582 all theorems matching the pattern. Available in ProofGeneral under
  2583 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  2584 
  2585   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  2586 
  2587 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  2588 matching the current goal as introduction rule and not having "HOL."
  2589 in their name (i.e. not being defined in theory HOL).
  2590 
  2591 * Command 'thms_containing' has been discontinued in favour of
  2592 'find_theorems'; INCOMPATIBILITY.
  2593 
  2594 * Communication with Proof General is now 8bit clean, which means that
  2595 Unicode text in UTF-8 encoding may be used within theory texts (both
  2596 formal and informal parts).  Cf. option -U of the Isabelle Proof
  2597 General interface.  Here are some simple examples (cf. src/HOL/ex):
  2598 
  2599   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  2600   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  2601 
  2602 * Improved efficiency of the Simplifier and, to a lesser degree, the
  2603 Classical Reasoner.  Typical big applications run around 2 times
  2604 faster.
  2605 
  2606 
  2607 *** Document preparation ***
  2608 
  2609 * Commands 'display_drafts' and 'print_drafts' perform simple output
  2610 of raw sources.  Only those symbols that do not require additional
  2611 LaTeX packages (depending on comments in isabellesym.sty) are
  2612 displayed properly, everything else is left verbatim.  isatool display
  2613 and isatool print are used as front ends (these are subject to the
  2614 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  2615 
  2616 * Command tags control specific markup of certain regions of text,
  2617 notably folding and hiding.  Predefined tags include "theory" (for
  2618 theory begin and end), "proof" for proof commands, and "ML" for
  2619 commands involving ML code; the additional tags "visible" and
  2620 "invisible" are unused by default.  Users may give explicit tag
  2621 specifications in the text, e.g. ''by %invisible (auto)''.  The
  2622 interpretation of tags is determined by the LaTeX job during document
  2623 preparation: see option -V of isatool usedir, or options -n and -t of
  2624 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  2625 \isadroptag.
  2626 
  2627 Several document versions may be produced at the same time via isatool
  2628 usedir (the generated index.html will link all of them).  Typical
  2629 specifications include ''-V document=theory,proof,ML'' to present
  2630 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  2631 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  2632 these parts without any formal replacement text.  The Isabelle site
  2633 default settings produce ''document'' and ''outline'' versions as
  2634 specified above.
  2635 
  2636 * Several new antiquotations:
  2637 
  2638   @{term_type term} prints a term with its type annotated;
  2639 
  2640   @{typeof term} prints the type of a term;
  2641 
  2642   @{const const} is the same as @{term const}, but checks that the
  2643   argument is a known logical constant;
  2644 
  2645   @{term_style style term} and @{thm_style style thm} print a term or
  2646   theorem applying a "style" to it
  2647 
  2648   @{ML text}
  2649 
  2650 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  2651 definitions, equations, inequations etc., 'concl' printing only the
  2652 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  2653 to print the specified premise.  TermStyle.add_style provides an ML
  2654 interface for introducing further styles.  See also the "LaTeX Sugar"
  2655 document practical applications.  The ML antiquotation prints
  2656 type-checked ML expressions verbatim.
  2657 
  2658 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  2659 and 'text' support optional locale specification '(in loc)', which
  2660 specifies the default context for interpreting antiquotations.  For
  2661 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  2662 
  2663 * Option 'locale=NAME' of antiquotations specifies an alternative
  2664 context interpreting the subsequent argument.  For example: @{thm
  2665 [locale=lattice] inf_assoc}.
  2666 
  2667 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  2668 a proof context.
  2669 
  2670 * Proper output of antiquotations for theory commands involving a
  2671 proof context (such as 'locale' or 'theorem (in loc) ...').
  2672 
  2673 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  2674 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  2675 
  2676 * isatool usedir: new option -C (default true) controls whether option
  2677 -D should include a copy of the original document directory; -C false
  2678 prevents unwanted effects such as copying of administrative CVS data.
  2679 
  2680 
  2681 *** Pure ***
  2682 
  2683 * Considerably improved version of 'constdefs' command.  Now performs
  2684 automatic type-inference of declared constants; additional support for
  2685 local structure declarations (cf. locales and HOL records), see also
  2686 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  2687 sequential dependencies of definitions within a single 'constdefs'
  2688 section; moreover, the declared name needs to be an identifier.  If
  2689 all fails, consider to fall back on 'consts' and 'defs' separately.
  2690 
  2691 * Improved indexed syntax and implicit structures.  First of all,
  2692 indexed syntax provides a notational device for subscripted
  2693 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  2694 expressions.  Secondly, in a local context with structure
  2695 declarations, number indexes \<^sub>n or the empty index (default
  2696 number 1) refer to a certain fixed variable implicitly; option
  2697 show_structs controls printing of implicit structures.  Typical
  2698 applications of these concepts involve record types and locales.
  2699 
  2700 * New command 'no_syntax' removes grammar declarations (and
  2701 translations) resulting from the given syntax specification, which is
  2702 interpreted in the same manner as for the 'syntax' command.
  2703 
  2704 * 'Advanced' translation functions (parse_translation etc.) may depend
  2705 on the signature of the theory context being presently used for
  2706 parsing/printing, see also isar-ref manual.
  2707 
  2708 * Improved 'oracle' command provides a type-safe interface to turn an
  2709 ML expression of type theory -> T -> term into a primitive rule of
  2710 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  2711 is already included here); see also FOL/ex/IffExample.thy;
  2712 INCOMPATIBILITY.
  2713 
  2714 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  2715 before); "cI" is no longer bound, use "c.intro" instead.
  2716 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  2717 axclasses vs. locales.
  2718 
  2719 * Improved internal renaming of symbolic identifiers -- attach primes
  2720 instead of base 26 numbers.
  2721 
  2722 * New flag show_question_marks controls printing of leading question
  2723 marks in schematic variable names.
  2724 
  2725 * In schematic variable names, *any* symbol following \<^isub> or
  2726 \<^isup> is now treated as part of the base name.  For example, the
  2727 following works without printing of awkward ".0" indexes:
  2728 
  2729   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  2730     by simp
  2731 
  2732 * Inner syntax includes (*(*nested*) comments*).
  2733 
  2734 * Pretty printer now supports unbreakable blocks, specified in mixfix
  2735 annotations as "(00...)".
  2736 
  2737 * Clear separation of logical types and nonterminals, where the latter
  2738 may only occur in 'syntax' specifications or type abbreviations.
  2739 Before that distinction was only partially implemented via type class
  2740 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  2741 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  2742 exotic syntax specifications may require further adaption
  2743 (e.g. Cube/Cube.thy).
  2744 
  2745 * Removed obsolete type class "logic", use the top sort {} instead.
  2746 Note that non-logical types should be declared as 'nonterminals'
  2747 rather than 'types'.  INCOMPATIBILITY for new object-logic
  2748 specifications.
  2749 
  2750 * Attributes 'induct' and 'cases': type or set names may now be
  2751 locally fixed variables as well.
  2752 
  2753 * Simplifier: can now control the depth to which conditional rewriting
  2754 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  2755 Limit.
  2756 
  2757 * Simplifier: simplification procedures may now take the current
  2758 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  2759 interface), which is very useful for calling the Simplifier
  2760 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  2761 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  2762 low-level mk_simproc no longer applies Logic.varify internally, to
  2763 allow for use in a context of fixed variables.
  2764 
  2765 * thin_tac now works even if the assumption being deleted contains !!
  2766 or ==>.  More generally, erule now works even if the major premise of
  2767 the elimination rule contains !! or ==>.
  2768 
  2769 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  2770 
  2771 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  2772 from Pure, which contains all common declarations already.  Both
  2773 theories are defined via plain Isabelle/Isar .thy files.
  2774 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  2775 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  2776 use isatool fixcpure to adapt your theory and ML sources.
  2777 
  2778 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  2779 selections of theorems in named facts via index ranges.
  2780 
  2781 * 'print_theorems': in theory mode, really print the difference
  2782 wrt. the last state (works for interactive theory development only),
  2783 in proof mode print all local facts (cf. 'print_facts');
  2784 
  2785 * 'hide': option '(open)' hides only base names.
  2786 
  2787 * More efficient treatment of intermediate checkpoints in interactive
  2788 theory development.
  2789 
  2790 * Code generator is now invoked via code_module (incremental code
  2791 generation) and code_library (modular code generation, ML structures
  2792 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  2793 must be quoted when used as identifiers.
  2794 
  2795 * New 'value' command for reading, evaluating and printing terms using
  2796 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  2797 quoted when used as identifier.
  2798 
  2799 
  2800 *** Locales ***
  2801 
  2802 * New commands for the interpretation of locale expressions in
  2803 theories (1), locales (2) and proof contexts (3).  These generate
  2804 proof obligations from the expression specification.  After the
  2805 obligations have been discharged, theorems of the expression are added
  2806 to the theory, target locale or proof context.  The synopsis of the
  2807 commands is a follows:
  2808 
  2809   (1) interpretation expr inst
  2810   (2) interpretation target < expr
  2811   (3) interpret expr inst
  2812 
  2813 Interpretation in theories and proof contexts require a parameter
  2814 instantiation of terms from the current context.  This is applied to
  2815 specifications and theorems of the interpreted expression.
  2816 Interpretation in locales only permits parameter renaming through the
  2817 locale expression.  Interpretation is smart in that interpretations
  2818 that are active already do not occur in proof obligations, neither are
  2819 instantiated theorems stored in duplicate.  Use 'print_interps' to
  2820 inspect active interpretations of a particular locale.  For details,
  2821 see the Isar Reference manual.  Examples can be found in
  2822 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  2823 
  2824 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  2825 'interpret' instead.
  2826 
  2827 * New context element 'constrains' for adding type constraints to
  2828 parameters.
  2829 
  2830 * Context expressions: renaming of parameters with syntax
  2831 redeclaration.
  2832 
  2833 * Locale declaration: 'includes' disallowed.
  2834 
  2835 * Proper static binding of attribute syntax -- i.e. types / terms /
  2836 facts mentioned as arguments are always those of the locale definition
  2837 context, independently of the context of later invocations.  Moreover,
  2838 locale operations (renaming and type / term instantiation) are applied
  2839 to attribute arguments as expected.
  2840 
  2841 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  2842 actual attributes; rare situations may require Attrib.attribute to
  2843 embed those attributes into Attrib.src that lack concrete syntax.
  2844 Attribute implementations need to cooperate properly with the static
  2845 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  2846 Attrib.XXX_thm etc. already do the right thing without further
  2847 intervention.  Only unusual applications -- such as "where" or "of"
  2848 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  2849 on the context and the facts involved -- may have to assign parsed
  2850 values to argument tokens explicitly.
  2851 
  2852 * Changed parameter management in theorem generation for long goal
  2853 statements with 'includes'.  INCOMPATIBILITY: produces a different
  2854 theorem statement in rare situations.
  2855 
  2856 * Locale inspection command 'print_locale' omits notes elements.  Use
  2857 'print_locale!' to have them included in the output.
  2858 
  2859 
  2860 *** Provers ***
  2861 
  2862 * Provers/hypsubst.ML: improved version of the subst method, for
  2863 single-step rewriting: it now works in bound variable contexts. New is
  2864 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  2865 rewrite a different subterm than the original subst method, which is
  2866 still available as 'simplesubst'.
  2867 
  2868 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  2869 and quasi orders.
  2870 
  2871 * Provers/trancl.ML: new transitivity reasoner for transitive and
  2872 reflexive-transitive closure of relations.
  2873 
  2874 * Provers/blast.ML: new reference depth_limit to make blast's depth
  2875 limit (previously hard-coded with a value of 20) user-definable.
  2876 
  2877 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  2878 is peformed already.  Object-logics merely need to finish their
  2879 initial simpset configuration as before.  INCOMPATIBILITY.
  2880 
  2881 
  2882 *** HOL ***
  2883 
  2884 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  2885 
  2886   syntax (epsilon)
  2887     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  2888 
  2889 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  2890 and x-symbol; use option '-m epsilon' to get it actually printed.
  2891 Moreover, the mathematically important symbolic identifier \<epsilon>
  2892 becomes available as variable, constant etc.  INCOMPATIBILITY,
  2893 
  2894 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  2895 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  2896 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  2897 support corresponding Isar calculations.
  2898 
  2899 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  2900 instead of ":".
  2901 
  2902 * theory SetInterval: changed the syntax for open intervals:
  2903 
  2904   Old       New
  2905   {..n(}    {..<n}
  2906   {)n..}    {n<..}
  2907   {m..n(}   {m..<n}
  2908   {)m..n}   {m<..n}
  2909   {)m..n(}  {m<..<n}
  2910 
  2911 The old syntax is still supported but will disappear in the next
  2912 release.  For conversion use the following Emacs search and replace
  2913 patterns (these are not perfect but work quite well):
  2914 
  2915   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  2916   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  2917 
  2918 * Theory Commutative_Ring (in Library): method comm_ring for proving
  2919 equalities in commutative rings; method 'algebra' provides a generic
  2920 interface.
  2921 
  2922 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  2923 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  2924 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  2925 be a tuple pattern.
  2926 
  2927 Some new syntax forms are available:
  2928 
  2929   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  2930   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  2931   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  2932   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  2933 
  2934 The latter form "\<Sum>x < k. e" used to be based on a separate
  2935 function "Summation", which has been discontinued.
  2936 
  2937 * theory Finite_Set: in structured induction proofs, the insert case
  2938 is now 'case (insert x F)' instead of the old counterintuitive 'case
  2939 (insert F x)'.
  2940 
  2941 * The 'refute' command has been extended to support a much larger
  2942 fragment of HOL, including axiomatic type classes, constdefs and
  2943 typedefs, inductive datatypes and recursion.
  2944 
  2945 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  2946 Requires zChaff with proof generation to be installed.  See
  2947 HOL/ex/SAT_Examples.thy for examples.
  2948 
  2949 * Datatype induction via method 'induct' now preserves the name of the
  2950 induction variable. For example, when proving P(xs::'a list) by
  2951 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  2952 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  2953 in unstructured proof scripts.
  2954 
  2955 * Reworked implementation of records.  Improved scalability for
  2956 records with many fields, avoiding performance problems for type
  2957 inference. Records are no longer composed of nested field types, but
  2958 of nested extension types. Therefore the record type only grows linear
  2959 in the number of extensions and not in the number of fields.  The
  2960 top-level (users) view on records is preserved.  Potential
  2961 INCOMPATIBILITY only in strange cases, where the theory depends on the
  2962 old record representation. The type generated for a record is called
  2963 <record_name>_ext_type.
  2964 
  2965 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  2966 proofs triggered by a record definition or a simproc (if
  2967 quick_and_dirty is enabled).  Definitions of large records can take
  2968 quite long.
  2969 
  2970 New simproc record_upd_simproc for simplification of multiple record
  2971 updates enabled by default.  Moreover, trivial updates are also
  2972 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  2973 occasionally, since simplification is more powerful by default.
  2974 
  2975 * typedef: proper support for polymorphic sets, which contain extra
  2976 type-variables in the term.
  2977 
  2978 * Simplifier: automatically reasons about transitivity chains
  2979 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  2980 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  2981 old proofs break occasionally as simplification may now solve more
  2982 goals than previously.
  2983 
  2984 * Simplifier: converts x <= y into x = y if assumption y <= x is
  2985 present.  Works for all partial orders (class "order"), in particular
  2986 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  2987 just like y <= x.
  2988 
  2989 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  2990 bound variable or a constant then the let is unfolded.  Otherwise
  2991 first a is simplified to b, and then f b is simplified to g. If
  2992 possible we abstract b from g arriving at "let x = b in h x",
  2993 otherwise we unfold the let and arrive at g.  The simproc can be
  2994 enabled/disabled by the reference use_let_simproc.  Potential
  2995 INCOMPATIBILITY since simplification is more powerful by default.
  2996 
  2997 * Classical reasoning: the meson method now accepts theorems as arguments.
  2998 
  2999 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  3000 jobs to provide advice on the provability of subgoals.
  3001 
  3002 * Theory OrderedGroup and Ring_and_Field: various additions and
  3003 improvements to faciliate calculations involving equalities and
  3004 inequalities.
  3005 
  3006 The following theorems have been eliminated or modified
  3007 (INCOMPATIBILITY):
  3008 
  3009   abs_eq             now named abs_of_nonneg
  3010   abs_of_ge_0        now named abs_of_nonneg
  3011   abs_minus_eq       now named abs_of_nonpos
  3012   imp_abs_id         now named abs_of_nonneg
  3013   imp_abs_neg_id     now named abs_of_nonpos
  3014   mult_pos           now named mult_pos_pos
  3015   mult_pos_le        now named mult_nonneg_nonneg
  3016   mult_pos_neg_le    now named mult_nonneg_nonpos
  3017   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  3018   mult_neg           now named mult_neg_neg
  3019   mult_neg_le        now named mult_nonpos_nonpos
  3020 
  3021 * The following lemmas in Ring_and_Field have been added to the simplifier:
  3022      
  3023      zero_le_square
  3024      not_square_less_zero 
  3025 
  3026   The following lemmas have been deleted from Real/RealPow:
  3027   
  3028      realpow_zero_zero
  3029      realpow_two
  3030      realpow_less
  3031      zero_le_power
  3032      realpow_two_le
  3033      abs_realpow_two
  3034      realpow_two_abs     
  3035 
  3036 * Theory Parity: added rules for simplifying exponents.
  3037 
  3038 * Theory List:
  3039 
  3040 The following theorems have been eliminated or modified
  3041 (INCOMPATIBILITY):
  3042 
  3043   list_all_Nil       now named list_all.simps(1)
  3044   list_all_Cons      now named list_all.simps(2)
  3045   list_all_conv      now named list_all_iff
  3046   set_mem_eq         now named mem_iff
  3047 
  3048 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  3049 asymptotic "big O" calculations.  See the notes in BigO.thy.
  3050 
  3051 
  3052 *** HOL-Complex ***
  3053 
  3054 * Theory RealDef: better support for embedding natural numbers and
  3055 integers in the reals.
  3056 
  3057 The following theorems have been eliminated or modified
  3058 (INCOMPATIBILITY):
  3059 
  3060   exp_ge_add_one_self  now requires no hypotheses
  3061   real_of_int_add      reversed direction of equality (use [symmetric])
  3062   real_of_int_minus    reversed direction of equality (use [symmetric])
  3063   real_of_int_diff     reversed direction of equality (use [symmetric])
  3064   real_of_int_mult     reversed direction of equality (use [symmetric])
  3065 
  3066 * Theory RComplete: expanded support for floor and ceiling functions.
  3067 
  3068 * Theory Ln is new, with properties of the natural logarithm
  3069 
  3070 * Hyperreal: There is a new type constructor "star" for making
  3071 nonstandard types.  The old type names are now type synonyms:
  3072 
  3073   hypreal = real star
  3074   hypnat = nat star
  3075   hcomplex = complex star
  3076 
  3077 * Hyperreal: Many groups of similarly-defined constants have been
  3078 replaced by polymorphic versions (INCOMPATIBILITY):
  3079 
  3080   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  3081 
  3082   starset      <-- starsetNat, starsetC
  3083   *s*          <-- *sNat*, *sc*
  3084   starset_n    <-- starsetNat_n, starsetC_n
  3085   *sn*         <-- *sNatn*, *scn*
  3086   InternalSets <-- InternalNatSets, InternalCSets
  3087 
  3088   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  3089   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  3090   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  3091   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  3092   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  3093 
  3094 * Hyperreal: Many type-specific theorems have been removed in favor of
  3095 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  3096 
  3097   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  3098   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  3099   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  3100   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  3101   right_minus <-- hypreal_add_minus
  3102   left_minus <-- {hypreal,hcomplex}_add_minus_left
  3103   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  3104   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  3105   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  3106   mult_1_right <-- hcomplex_mult_one_right
  3107   mult_zero_left <-- hcomplex_mult_zero_left
  3108   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  3109   right_distrib <-- hypnat_add_mult_distrib2
  3110   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  3111   right_inverse <-- hypreal_mult_inverse
  3112   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  3113   order_refl <-- {hypreal,hypnat}_le_refl
  3114   order_trans <-- {hypreal,hypnat}_le_trans
  3115   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  3116   order_less_le <-- {hypreal,hypnat}_less_le
  3117   linorder_linear <-- {hypreal,hypnat}_le_linear
  3118   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  3119   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  3120   add_nonneg_nonneg <-- hypreal_le_add_order
  3121 
  3122 * Hyperreal: Separate theorems having to do with type-specific
  3123 versions of constants have been merged into theorems that apply to the
  3124 new polymorphic constants (INCOMPATIBILITY):
  3125 
  3126   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  3127   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  3128   STAR_Un <-- {STAR,NatStar,STARC}_Un
  3129   STAR_Int <-- {STAR,NatStar,STARC}_Int
  3130   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  3131   STAR_subset <-- {STAR,NatStar,STARC}_subset
  3132   STAR_mem <-- {STAR,NatStar,STARC}_mem
  3133   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  3134   STAR_diff <-- {STAR,STARC}_diff
  3135   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  3136     STARC_hcomplex_of_complex}_image_subset
  3137   starset_n_Un <-- starset{Nat,C}_n_Un
  3138   starset_n_Int <-- starset{Nat,C}_n_Int
  3139   starset_n_Compl <-- starset{Nat,C}_n_Compl
  3140   starset_n_diff <-- starset{Nat,C}_n_diff
  3141   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  3142   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  3143   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  3144   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  3145   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  3146   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  3147   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  3148   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  3149   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  3150   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  3151   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  3152   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  3153   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  3154   starfun_diff <-- starfun{C,RC,CR}_diff
  3155   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  3156   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  3157   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  3158   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  3159   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  3160   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  3161   starfun_Id <-- starfunC_Id
  3162   starfun_approx <-- starfun{Nat,CR}_approx
  3163   starfun_capprox <-- starfun{C,RC}_capprox
  3164   starfun_abs <-- starfunNat_rabs
  3165   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  3166   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  3167   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  3168   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  3169   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  3170   starfun_add_approx <-- starfunCR_add_approx
  3171   starfun_inverse_inverse <-- starfunC_inverse_inverse
  3172   starfun_divide <-- starfun{C,CR,RC}_divide
  3173   starfun_n <-- starfun{Nat,C}_n
  3174   starfun_n_mult <-- starfun{Nat,C}_n_mult
  3175   starfun_n_add <-- starfun{Nat,C}_n_add
  3176   starfun_n_add_minus <-- starfunNat_n_add_minus
  3177   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  3178   starfun_n_minus <-- starfun{Nat,C}_n_minus
  3179   starfun_n_eq <-- starfun{Nat,C}_n_eq
  3180 
  3181   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  3182   star_n_minus <-- {hypreal,hcomplex}_minus
  3183   star_n_diff <-- {hypreal,hcomplex}_diff
  3184   star_n_mult <-- {hypreal,hcomplex}_mult
  3185   star_n_inverse <-- {hypreal,hcomplex}_inverse
  3186   star_n_le <-- {hypreal,hypnat}_le
  3187   star_n_less <-- {hypreal,hypnat}_less
  3188   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  3189   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  3190   star_n_abs <-- hypreal_hrabs
  3191   star_n_divide <-- hcomplex_divide
  3192 
  3193   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  3194   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  3195   star_of_diff <-- hypreal_of_real_diff
  3196   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  3197   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  3198   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  3199   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  3200   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  3201   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  3202   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  3203   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  3204   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  3205   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  3206   star_of_number_of <-- {hypreal,hcomplex}_number_of
  3207   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  3208   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  3209   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  3210   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  3211   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  3212   star_of_power <-- hypreal_of_real_power
  3213   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  3214 
  3215 * Hyperreal: new method "transfer" that implements the transfer
  3216 principle of nonstandard analysis. With a subgoal that mentions
  3217 nonstandard types like "'a star", the command "apply transfer"
  3218 replaces it with an equivalent one that mentions only standard types.
  3219 To be successful, all free variables must have standard types; non-
  3220 standard variables must have explicit universal quantifiers.
  3221 
  3222 * Hyperreal: A theory of Taylor series.
  3223 
  3224 
  3225 *** HOLCF ***
  3226 
  3227 * Discontinued special version of 'constdefs' (which used to support
  3228 continuous functions) in favor of the general Pure one with full
  3229 type-inference.
  3230 
  3231 * New simplification procedure for solving continuity conditions; it
  3232 is much faster on terms with many nested lambda abstractions (cubic
  3233 instead of exponential time).
  3234 
  3235 * New syntax for domain package: selector names are now optional.
  3236 Parentheses should be omitted unless argument is lazy, for example:
  3237 
  3238   domain 'a stream = cons "'a" (lazy "'a stream")
  3239 
  3240 * New command 'fixrec' for defining recursive functions with pattern
  3241 matching; defining multiple functions with mutual recursion is also
  3242 supported.  Patterns may include the constants cpair, spair, up, sinl,
  3243 sinr, or any data constructor defined by the domain package. The given
  3244 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  3245 syntax and examples.
  3246 
  3247 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  3248 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  3249 but the proof obligation additionally includes an admissibility
  3250 requirement. The packages generate instances of class cpo or pcpo,
  3251 with continuity and strictness theorems for Rep and Abs.
  3252 
  3253 * HOLCF: Many theorems have been renamed according to a more standard naming
  3254 scheme (INCOMPATIBILITY):
  3255 
  3256   foo_inject:  "foo$x = foo$y ==> x = y"
  3257   foo_eq:      "(foo$x = foo$y) = (x = y)"
  3258   foo_less:    "(foo$x << foo$y) = (x << y)"
  3259   foo_strict:  "foo$UU = UU"
  3260   foo_defined: "... ==> foo$x ~= UU"
  3261   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  3262 
  3263 
  3264 *** ZF ***
  3265 
  3266 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  3267 including the First Isomorphism Theorem (on quotienting by the kernel
  3268 of a homomorphism).
  3269 
  3270 * ZF/Simplifier: install second copy of type solver that actually
  3271 makes use of TC rules declared to Isar proof contexts (or locales);
  3272 the old version is still required for ML proof scripts.
  3273 
  3274 
  3275 *** Cube ***
  3276 
  3277 * Converted to Isar theory format; use locales instead of axiomatic
  3278 theories.
  3279 
  3280 
  3281 *** ML ***
  3282 
  3283 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  3284 for ||>, ||>>, |>>,
  3285 
  3286 * Pure/library.ML no longer defines its own option datatype, but uses
  3287 that of the SML basis, which has constructors NONE and SOME instead of
  3288 None and Some, as well as exception Option.Option instead of OPTION.
  3289 The functions the, if_none, is_some, is_none have been adapted
  3290 accordingly, while Option.map replaces apsome.
  3291 
  3292 * Pure/library.ML: the exception LIST has been given up in favour of
  3293 the standard exceptions Empty and Subscript, as well as
  3294 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  3295 superceded by the standard hd and tl functions etc.
  3296 
  3297 A number of basic list functions are no longer exported to the ML
  3298 toplevel, as they are variants of predefined functions.  The following
  3299 suggests how one can translate existing code:
  3300 
  3301     rev_append xs ys = List.revAppend (xs, ys)
  3302     nth_elem (i, xs) = List.nth (xs, i)
  3303     last_elem xs = List.last xs
  3304     flat xss = List.concat xss
  3305     seq fs = List.app fs
  3306     partition P xs = List.partition P xs
  3307     mapfilter f xs = List.mapPartial f xs
  3308 
  3309 * Pure/library.ML: several combinators for linear functional
  3310 transformations, notably reverse application and composition:
  3311 
  3312   x |> f                f #> g
  3313   (x, y) |-> f          f #-> g
  3314 
  3315 * Pure/library.ML: introduced/changed precedence of infix operators:
  3316 
  3317   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  3318   infix 2 ?;
  3319   infix 3 o oo ooo oooo;
  3320   infix 4 ~~ upto downto;
  3321 
  3322 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  3323 infix operators.
  3324 
  3325 * Pure/library.ML: natural list combinators fold, fold_rev, and
  3326 fold_map support linear functional transformations and nesting.  For
  3327 example:
  3328 
  3329   fold f [x1, ..., xN] y =
  3330     y |> f x1 |> ... |> f xN
  3331 
  3332   (fold o fold) f [xs1, ..., xsN] y =
  3333     y |> fold f xs1 |> ... |> fold f xsN
  3334 
  3335   fold f [x1, ..., xN] =
  3336     f x1 #> ... #> f xN
  3337 
  3338   (fold o fold) f [xs1, ..., xsN] =
  3339     fold f xs1 #> ... #> fold f xsN
  3340 
  3341 * Pure/library.ML: the following selectors on type 'a option are
  3342 available:
  3343 
  3344   the:               'a option -> 'a  (*partial*)
  3345   these:             'a option -> 'a  where 'a = 'b list
  3346   the_default: 'a -> 'a option -> 'a
  3347   the_list:          'a option -> 'a list
  3348 
  3349 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  3350 basic operations for association lists, following natural argument
  3351 order; moreover the explicit equality predicate passed here avoids
  3352 potentially expensive polymorphic runtime equality checks.
  3353 The old functions may be expressed as follows:
  3354 
  3355   assoc = uncurry (AList.lookup (op =))
  3356   assocs = these oo AList.lookup (op =)
  3357   overwrite = uncurry (AList.update (op =)) o swap
  3358 
  3359 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  3360 
  3361   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  3362   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  3363 
  3364 replacing make_keylist and keyfilter (occassionally used)
  3365 Naive rewrites:
  3366 
  3367   make_keylist = AList.make
  3368   keyfilter = AList.find (op =)
  3369 
  3370 * eq_fst and eq_snd now take explicit equality parameter, thus
  3371   avoiding eqtypes. Naive rewrites:
  3372 
  3373     eq_fst = eq_fst (op =)
  3374     eq_snd = eq_snd (op =)
  3375 
  3376 * Removed deprecated apl and apr (rarely used).
  3377   Naive rewrites:
  3378 
  3379     apl (n, op) =>>= curry op n
  3380     apr (op, m) =>>= fn n => op (n, m)
  3381 
  3382 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  3383 provides a reasonably efficient light-weight implementation of sets as
  3384 lists.
  3385 
  3386 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  3387 few new operations; existing lookup and update are now curried to
  3388 follow natural argument order (for use with fold etc.);
  3389 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  3390 
  3391 * Pure/General: output via the Isabelle channels of
  3392 writeln/warning/error etc. is now passed through Output.output, with a
  3393 hook for arbitrary transformations depending on the print_mode
  3394 (cf. Output.add_mode -- the first active mode that provides a output
  3395 function wins).  Already formatted output may be embedded into further
  3396 text via Output.raw; the result of Pretty.string_of/str_of and derived
  3397 functions (string_of_term/cterm/thm etc.) is already marked raw to
  3398 accommodate easy composition of diagnostic messages etc.  Programmers
  3399 rarely need to care about Output.output or Output.raw at all, with
  3400 some notable exceptions: Output.output is required when bypassing the
  3401 standard channels (writeln etc.), or in token translations to produce
  3402 properly formatted results; Output.raw is required when capturing
  3403 already output material that will eventually be presented to the user
  3404 a second time.  For the default print mode, both Output.output and
  3405 Output.raw have no effect.
  3406 
  3407 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  3408 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  3409 cumulative results are displayed at the end of a batch session.
  3410 
  3411 * Pure/General: File.sysify_path and File.quote_sysify path have been
  3412 replaced by File.platform_path and File.shell_path (with appropriate
  3413 hooks).  This provides a clean interface for unusual systems where the
  3414 internal and external process view of file names are different.
  3415 
  3416 * Pure: more efficient orders for basic syntactic entities: added
  3417 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  3418 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  3419 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  3420 orders now -- potential INCOMPATIBILITY for code that depends on a
  3421 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  3422 Library.sort_strings on result).
  3423 
  3424 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  3425 fold_types traverse types/terms from left to right, observing natural
  3426 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  3427 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  3428 
  3429 * Pure: name spaces have been refined, with significant changes of the
  3430 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  3431 to extern(_table).  The plain name entry path is superceded by a
  3432 general 'naming' context, which also includes the 'policy' to produce
  3433 a fully qualified name and external accesses of a fully qualified
  3434 name; NameSpace.extend is superceded by context dependent
  3435 Sign.declare_name.  Several theory and proof context operations modify
  3436 the naming context.  Especially note Theory.restore_naming and
  3437 ProofContext.restore_naming to get back to a sane state; note that
  3438 Theory.add_path is no longer sufficient to recover from
  3439 Theory.absolute_path in particular.
  3440 
  3441 * Pure: new flags short_names (default false) and unique_names
  3442 (default true) for controlling output of qualified names.  If
  3443 short_names is set, names are printed unqualified.  If unique_names is
  3444 reset, the name prefix is reduced to the minimum required to achieve
  3445 the original result when interning again, even if there is an overlap
  3446 with earlier declarations.
  3447 
  3448 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  3449 now 'extend', and 'merge' gets an additional Pretty.pp argument
  3450 (useful for printing error messages).  INCOMPATIBILITY.
  3451 
  3452 * Pure: major reorganization of the theory context.  Type Sign.sg and
  3453 Theory.theory are now identified, referring to the universal
  3454 Context.theory (see Pure/context.ML).  Actual signature and theory
  3455 content is managed as theory data.  The old code and interfaces were
  3456 spread over many files and structures; the new arrangement introduces
  3457 considerable INCOMPATIBILITY to gain more clarity:
  3458 
  3459   Context -- theory management operations (name, identity, inclusion,
  3460     parents, ancestors, merge, etc.), plus generic theory data;
  3461 
  3462   Sign -- logical signature and syntax operations (declaring consts,
  3463     types, etc.), plus certify/read for common entities;
  3464 
  3465   Theory -- logical theory operations (stating axioms, definitions,
  3466     oracles), plus a copy of logical signature operations (consts,
  3467     types, etc.); also a few basic management operations (Theory.copy,
  3468     Theory.merge, etc.)
  3469 
  3470 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  3471 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  3472 for convenience -- they merely return the theory.
  3473 
  3474 * Pure: type Type.tsig is superceded by theory in most interfaces.
  3475 
  3476 * Pure: the Isar proof context type is already defined early in Pure
  3477 as Context.proof (note that ProofContext.context and Proof.context are
  3478 aliases, where the latter is the preferred name).  This enables other
  3479 Isabelle components to refer to that type even before Isar is present.
  3480 
  3481 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  3482 typeK, constK, axiomK, oracleK), but provide explicit operations for
  3483 any of these kinds.  For example, Sign.intern typeK is now
  3484 Sign.intern_type, Theory.hide_space Sign.typeK is now
  3485 Theory.hide_types.  Also note that former
  3486 Theory.hide_classes/types/consts are now
  3487 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  3488 internalize their arguments!  INCOMPATIBILITY.
  3489 
  3490 * Pure: get_thm interface (of PureThy and ProofContext) expects
  3491 datatype thmref (with constructors Name and NameSelection) instead of
  3492 plain string -- INCOMPATIBILITY;
  3493 
  3494 * Pure: cases produced by proof methods specify options, where NONE
  3495 means to remove case bindings -- INCOMPATIBILITY in
  3496 (RAW_)METHOD_CASES.
  3497 
  3498 * Pure: the following operations retrieve axioms or theorems from a
  3499 theory node or theory hierarchy, respectively:
  3500 
  3501   Theory.axioms_of: theory -> (string * term) list
  3502   Theory.all_axioms_of: theory -> (string * term) list
  3503   PureThy.thms_of: theory -> (string * thm) list
  3504   PureThy.all_thms_of: theory -> (string * thm) list
  3505 
  3506 * Pure: print_tac now outputs the goal through the trace channel.
  3507 
  3508 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  3509 Reference Toplevel.debug (default false) controls detailed printing
  3510 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  3511 controls execution profiling -- set to 1 for time and 2 for space
  3512 (both increase the runtime).
  3513 
  3514 * Isar session: The initial use of ROOT.ML is now always timed,
  3515 i.e. the log will show the actual process times, in contrast to the
  3516 elapsed wall-clock time that the outer shell wrapper produces.
  3517 
  3518 * Simplifier: improved handling of bound variables (nameless
  3519 representation, avoid allocating new strings).  Simprocs that invoke
  3520 the Simplifier recursively should use Simplifier.inherit_bounds to
  3521 avoid local name clashes.  Failure to do so produces warnings
  3522 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  3523 for further details.
  3524 
  3525 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  3526 bindings for all theorems stored within a given theory; this may help
  3527 in porting non-Isar theories to Isar ones, while keeping ML proof
  3528 scripts for the time being.
  3529 
  3530 * ML operator HTML.with_charset specifies the charset begin used for
  3531 generated HTML files.  For example:
  3532 
  3533   HTML.with_charset "utf-8" use_thy "Hebrew";
  3534   HTML.with_charset "utf-8" use_thy "Chinese";
  3535 
  3536 
  3537 *** System ***
  3538 
  3539 * Allow symlinks to all proper Isabelle executables (Isabelle,
  3540 isabelle, isatool etc.).
  3541 
  3542 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  3543 isatool doc, isatool mkdir, display_drafts etc.).
  3544 
  3545 * isatool usedir: option -f allows specification of the ML file to be
  3546 used by Isabelle; default is ROOT.ML.
  3547 
  3548 * New isatool version outputs the version identifier of the Isabelle
  3549 distribution being used.
  3550 
  3551 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  3552 (containing Boolean satisfiability problems) into Isabelle/HOL
  3553 theories.
  3554 
  3555 
  3556 
  3557 New in Isabelle2004 (April 2004)
  3558 --------------------------------
  3559 
  3560 *** General ***
  3561 
  3562 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  3563   Replaces linorder.ML.
  3564 
  3565 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  3566   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  3567   (\<a>...\<z>), are now considered normal letters, and can therefore
  3568   be used anywhere where an ASCII letter (a...zA...Z) has until
  3569   now. COMPATIBILITY: This obviously changes the parsing of some
  3570   terms, especially where a symbol has been used as a binder, say
  3571   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  3572   as an identifier.  Fix it by inserting a space around former
  3573   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  3574   existing theory and ML files.
  3575 
  3576 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  3577 
  3578 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  3579   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  3580   a normal (but invisible) letter. For multiple letter subscripts repeat
  3581   \<^isub> like this: x\<^isub>1\<^isub>2.
  3582 
  3583 * Pure: There are now sub-/superscripts that can span more than one
  3584   character. Text between \<^bsub> and \<^esub> is set in subscript in
  3585   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  3586   superscript. The new control characters are not identifier parts.
  3587 
  3588 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  3589   content of "..." to the latex file instead of \isacntrl... . The "..."
  3590   may consist of any printable characters excluding the end bracket >.
  3591 
  3592 * Pure: Using new Isar command "finalconsts" (or the ML functions
  3593   Theory.add_finals or Theory.add_finals_i) it is now possible to
  3594   declare constants "final", which prevents their being given a definition
  3595   later.  It is useful for constants whose behaviour is fixed axiomatically
  3596   rather than definitionally, such as the meta-logic connectives.
  3597 
  3598 * Pure: 'instance' now handles general arities with general sorts
  3599   (i.e. intersections of classes),
  3600 
  3601 * Presentation: generated HTML now uses a CSS style sheet to make layout
  3602   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  3603   It can be changed to alter the colors/layout of generated pages.
  3604 
  3605 
  3606 *** Isar ***
  3607 
  3608 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  3609   cut_tac, subgoal_tac and thin_tac:
  3610   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  3611     locales are no longer forced to write Isar proof scripts.
  3612     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  3613     emulations.
  3614   - INCOMPATIBILITY: names of variables to be instantiated may no
  3615     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  3616     This is consistent with the instantiation attribute "where".
  3617 
  3618 * Attributes "where" and "of":
  3619   - Now take type variables of instantiated theorem into account when reading
  3620     the instantiation string.  This fixes a bug that caused instantiated
  3621     theorems to have too special types in some circumstances.
  3622   - "where" permits explicit instantiations of type variables.
  3623 
  3624 * Calculation commands "moreover" and "also" no longer interfere with
  3625   current facts ("this"), admitting arbitrary combinations with "then"
  3626   and derived forms.
  3627 
  3628 * Locales:
  3629   - Goal statements involving the context element "includes" no longer
  3630     generate theorems with internal delta predicates (those ending on
  3631     "_axioms") in the premise.
  3632     Resolve particular premise with <locale>.intro to obtain old form.
  3633   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  3634     specification and "includes" elements in goal statement.
  3635   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  3636     [intro?] and [elim?] (respectively) by default.
  3637   - Experimental command for instantiation of locales in proof contexts:
  3638         instantiate <label>[<attrs>]: <loc>
  3639     Instantiates locale <loc> and adds all its theorems to the current context
  3640     taking into account their attributes.  Label and attrs are optional
  3641     modifiers, like in theorem declarations.  If present, names of
  3642     instantiated theorems are qualified with <label>, and the attributes
  3643     <attrs> are applied after any attributes these theorems might have already.
  3644       If the locale has assumptions, a chained fact of the form
  3645     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  3646     are derived.  The command does not support old-style locales declared
  3647     with "locale (open)".
  3648       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  3649 
  3650 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  3651   (Isar) contexts.
  3652 
  3653 
  3654 *** HOL ***
  3655 
  3656 * Proof import: new image HOL4 contains the imported library from
  3657   the HOL4 system with about 2500 theorems. It is imported by
  3658   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  3659   can be used like any other Isabelle image.  See
  3660   HOL/Import/HOL/README for more information.
  3661 
  3662 * Simplifier:
  3663   - Much improved handling of linear and partial orders.
  3664     Reasoners for linear and partial orders are set up for type classes
  3665     "linorder" and "order" respectively, and are added to the default simpset
  3666     as solvers.  This means that the simplifier can build transitivity chains
  3667     to solve goals from the assumptions.
  3668   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  3669     of blast or auto after simplification become unnecessary because the goal
  3670     is solved by simplification already.
  3671 
  3672 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  3673     all proved in axiomatic type classes for semirings, rings and fields.
  3674 
  3675 * Numerics:
  3676   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  3677     now formalized using the Ring_and_Field theory mentioned above.
  3678   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  3679     than before, because now they are set up once in a generic manner.
  3680   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  3681     Look for the general versions in Ring_and_Field (and Power if they concern
  3682     exponentiation).
  3683 
  3684 * Type "rat" of the rational numbers is now available in HOL-Complex.
  3685 
  3686 * Records:
  3687   - Record types are now by default printed with their type abbreviation
  3688     instead of the list of all field types. This can be configured via
  3689     the reference "print_record_type_abbr".
  3690   - Simproc "record_upd_simproc" for simplification of multiple updates added
  3691     (not enabled by default).
  3692   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  3693     EX x. x = sel r to True (not enabled by default).
  3694   - Tactic "record_split_simp_tac" to split and simplify records added.
  3695 
  3696 * 'specification' command added, allowing for definition by
  3697   specification.  There is also an 'ax_specification' command that
  3698   introduces the new constants axiomatically.
  3699 
  3700 * arith(_tac) is now able to generate counterexamples for reals as well.
  3701 
  3702 * HOL-Algebra: new locale "ring" for non-commutative rings.
  3703 
  3704 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  3705   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  3706 
  3707 * HOL-Matrix: a first theory for matrices in HOL with an application of
  3708   matrix theory to linear programming.
  3709 
  3710 * Unions and Intersections:
  3711   The latex output syntax of UN and INT has been changed
  3712   from "\Union x \in A. B" to "\Union_{x \in A} B"
  3713   i.e. the index formulae has become a subscript.
  3714   Similarly for "\Union x. B", and for \Inter instead of \Union.
  3715 
  3716 * Unions and Intersections over Intervals:
  3717   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  3718   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  3719   like in normal math, and corresponding versions for < and for intersection.
  3720 
  3721 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  3722   lexicographic dictonary ordering has been added as "lexord".
  3723 
  3724 * ML: the legacy theory structures Int and List have been removed. They had
  3725   conflicted with ML Basis Library structures having the same names.
  3726 
  3727 * 'refute' command added to search for (finite) countermodels.  Only works
  3728   for a fragment of HOL.  The installation of an external SAT solver is
  3729   highly recommended.  See "HOL/Refute.thy" for details.
  3730 
  3731 * 'quickcheck' command: Allows to find counterexamples by evaluating
  3732   formulae under an assignment of free variables to random values.
  3733   In contrast to 'refute', it can deal with inductive datatypes,
  3734   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  3735   for examples.
  3736 
  3737 
  3738 *** HOLCF ***
  3739 
  3740 * Streams now come with concatenation and are part of the HOLCF image
  3741 
  3742 
  3743 
  3744 New in Isabelle2003 (May 2003)
  3745 ------------------------------
  3746 
  3747 *** General ***
  3748 
  3749 * Provers/simplifier:
  3750 
  3751   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  3752     Assumptions are now subject to complete mutual simplification,
  3753     not just from left to right. The simplifier now preserves
  3754     the order of assumptions.
  3755 
  3756     Potential INCOMPATIBILITY:
  3757 
  3758     -- simp sometimes diverges where the old version did
  3759        not, e.g. invoking simp on the goal
  3760 
  3761         [| P (f x); y = x; f x = f y |] ==> Q
  3762 
  3763        now gives rise to the infinite reduction sequence
  3764 
  3765         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  3766 
  3767        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  3768        kind of problem.
  3769 
  3770     -- Tactics combining classical reasoner and simplification (such as auto)
  3771        are also affected by this change, because many of them rely on
  3772        simp. They may sometimes diverge as well or yield a different numbers
  3773        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  3774        in case of problems. Sometimes subsequent calls to the classical
  3775        reasoner will fail because a preceeding call to the simplifier too
  3776        eagerly simplified the goal, e.g. deleted redundant premises.
  3777 
  3778   - The simplifier trace now shows the names of the applied rewrite rules
  3779 
  3780   - You can limit the number of recursive invocations of the simplifier
  3781     during conditional rewriting (where the simplifie tries to solve the
  3782     conditions before applying the rewrite rule):
  3783     ML "simp_depth_limit := n"
  3784     where n is an integer. Thus you can force termination where previously
  3785     the simplifier would diverge.
  3786 
  3787   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  3788 
  3789   - No longer aborts on failed congruence proof.  Instead, the
  3790     congruence is ignored.
  3791 
  3792 * Pure: New generic framework for extracting programs from constructive
  3793   proofs. See HOL/Extraction.thy for an example instantiation, as well
  3794   as HOL/Extraction for some case studies.
  3795 
  3796 * Pure: The main goal of the proof state is no longer shown by default, only
  3797 the subgoals. This behaviour is controlled by a new flag.
  3798    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  3799 (ML: Proof.show_main_goal).
  3800 
  3801 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  3802 rules whose conclusion matches subgoal 1:
  3803       PG menu: Isabelle/Isar -> Show me -> matching rules
  3804 The rules are ordered by how closely they match the subgoal.
  3805 In particular, rules that solve a subgoal outright are displayed first
  3806 (or rather last, the way they are printed).
  3807 (ML: ProofGeneral.print_intros())
  3808 
  3809 * Pure: New flag trace_unify_fail causes unification to print
  3810 diagnostic information (PG: in trace buffer) when it fails. This is
  3811 useful for figuring out why single step proofs like rule, erule or
  3812 assumption failed.
  3813 
  3814 * Pure: Locale specifications now produce predicate definitions
  3815 according to the body of text (covering assumptions modulo local
  3816 definitions); predicate "loc_axioms" covers newly introduced text,
  3817 while "loc" is cumulative wrt. all included locale expressions; the
  3818 latter view is presented only on export into the global theory
  3819 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  3820 on the old view without predicates;
  3821 
  3822 * Pure: predefined locales "var" and "struct" are useful for sharing
  3823 parameters (as in CASL, for example); just specify something like
  3824 ``var x + var y + struct M'' as import;
  3825 
  3826 * Pure: improved thms_containing: proper indexing of facts instead of
  3827 raw theorems; check validity of results wrt. current name space;
  3828 include local facts of proof configuration (also covers active
  3829 locales), cover fixed variables in index; may use "_" in term
  3830 specification; an optional limit for the number of printed facts may
  3831 be given (the default is 40);
  3832 
  3833 * Pure: disallow duplicate fact bindings within new-style theory files
  3834 (batch-mode only);
  3835 
  3836 * Provers: improved induct method: assumptions introduced by case
  3837 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  3838 the goal statement); "foo" still refers to all facts collectively;
  3839 
  3840 * Provers: the function blast.overloaded has been removed: all constants
  3841 are regarded as potentially overloaded, which improves robustness in exchange
  3842 for slight decrease in efficiency;
  3843 
  3844 * Provers/linorder: New generic prover for transitivity reasoning over
  3845 linear orders.  Note: this prover is not efficient!
  3846 
  3847 * Isar: preview of problems to finish 'show' now produce an error
  3848 rather than just a warning (in interactive mode);
  3849 
  3850 
  3851 *** HOL ***
  3852 
  3853 * arith(_tac)
  3854 
  3855  - Produces a counter example if it cannot prove a goal.
  3856    Note that the counter example may be spurious if the goal is not a formula
  3857    of quantifier-free linear arithmetic.
  3858    In ProofGeneral the counter example appears in the trace buffer.
  3859 
  3860  - Knows about div k and mod k where k is a numeral of type nat or int.
  3861 
  3862  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  3863    linear arithmetic fails. This takes account of quantifiers and divisibility.
  3864    Presburger arithmetic can also be called explicitly via presburger(_tac).
  3865 
  3866 * simp's arithmetic capabilities have been enhanced a bit: it now
  3867 takes ~= in premises into account (by performing a case split);
  3868 
  3869 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  3870 are distributed over a sum of terms;
  3871 
  3872 * New tactic "trans_tac" and method "trans" instantiate
  3873 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  3874 "<=", "<" and "=").
  3875 
  3876 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  3877 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  3878 
  3879 * 'typedef' command has new option "open" to suppress the set
  3880 definition;
  3881 
  3882 * functions Min and Max on finite sets have been introduced (theory
  3883 Finite_Set);
  3884 
  3885 * attribute [symmetric] now works for relations as well; it turns
  3886 (x,y) : R^-1 into (y,x) : R, and vice versa;
  3887 
  3888 * induct over a !!-quantified statement (say !!x1..xn):
  3889   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  3890 
  3891 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  3892 %x. None. Warning: empty_def now refers to the previously hidden definition
  3893 of the empty set.
  3894 
  3895 * Algebra: formalization of classical algebra.  Intended as base for
  3896 any algebraic development in Isabelle.  Currently covers group theory
  3897 (up to Sylow's theorem) and ring theory (Universal Property of
  3898 Univariate Polynomials).  Contributions welcome;
  3899 
  3900 * GroupTheory: deleted, since its material has been moved to Algebra;
  3901 
  3902 * Complex: new directory of the complex numbers with numeric constants,
  3903 nonstandard complex numbers, and some complex analysis, standard and
  3904 nonstandard (Jacques Fleuriot);
  3905 
  3906 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  3907 
  3908 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  3909 Fleuriot);
  3910 
  3911 * Real/HahnBanach: updated and adapted to locales;
  3912 
  3913 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  3914 Gray and Kramer);
  3915 
  3916 * UNITY: added the Meier-Sanders theory of progress sets;
  3917 
  3918 * MicroJava: bytecode verifier and lightweight bytecode verifier
  3919 as abstract algorithms, instantiated to the JVM;
  3920 
  3921 * Bali: Java source language formalization. Type system, operational
  3922 semantics, axiomatic semantics. Supported language features:
  3923 classes, interfaces, objects,virtual methods, static methods,
  3924 static/instance fields, arrays, access modifiers, definite
  3925 assignment, exceptions.
  3926 
  3927 
  3928 *** ZF ***
  3929 
  3930 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  3931 universe, etc.);
  3932 
  3933 * Main ZF: virtually all theories converted to new-style format;
  3934 
  3935 
  3936 *** ML ***
  3937 
  3938 * Pure: Tactic.prove provides sane interface for internal proofs;
  3939 omits the infamous "standard" operation, so this is more appropriate
  3940 than prove_goalw_cterm in many situations (e.g. in simprocs);
  3941 
  3942 * Pure: improved error reporting of simprocs;
  3943 
  3944 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  3945 up simprocs;
  3946 
  3947 
  3948 *** Document preparation ***
  3949 
  3950 * uses \par instead of \\ for line breaks in theory text. This may
  3951 shift some page breaks in large documents. To get the old behaviour
  3952 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  3953 
  3954 * minimized dependencies of isabelle.sty and isabellesym.sty on
  3955 other packages
  3956 
  3957 * \<euro> now needs package babel/greek instead of marvosym (which
  3958 broke \Rightarrow)
  3959 
  3960 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  3961 textcomp package)
  3962 
  3963 
  3964 
  3965 New in Isabelle2002 (March 2002)
  3966 --------------------------------
  3967 
  3968 *** Document preparation ***
  3969 
  3970 * greatly simplified document preparation setup, including more
  3971 graceful interpretation of isatool usedir -i/-d/-D options, and more
  3972 instructive isatool mkdir; users should basically be able to get
  3973 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  3974 users may run a separate document processing stage manually like this:
  3975 "isatool usedir -D output HOL Test && isatool document Test/output";
  3976 
  3977 * theory dependency graph may now be incorporated into documents;
  3978 isatool usedir -g true will produce session_graph.eps/.pdf for use
  3979 with \includegraphics of LaTeX;
  3980 
  3981 * proper spacing of consecutive markup elements, especially text
  3982 blocks after section headings;
  3983 
  3984 * support bold style (for single symbols only), input syntax is like
  3985 this: "\<^bold>\<alpha>" or "\<^bold>A";
  3986 
  3987 * \<bullet> is now output as bold \cdot by default, which looks much
  3988 better in printed text;
  3989 
  3990 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  3991 note that these symbols are currently unavailable in Proof General /
  3992 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  3993 
  3994 * isatool latex no longer depends on changed TEXINPUTS, instead
  3995 isatool document copies the Isabelle style files to the target
  3996 location;
  3997 
  3998 
  3999 *** Isar ***
  4000 
  4001 * Pure/Provers: improved proof by cases and induction;
  4002   - 'case' command admits impromptu naming of parameters (such as
  4003     "case (Suc n)");
  4004   - 'induct' method divinates rule instantiation from the inductive
  4005     claim; no longer requires excessive ?P bindings for proper
  4006     instantiation of cases;
  4007   - 'induct' method properly enumerates all possibilities of set/type
  4008     rules; as a consequence facts may be also passed through *type*
  4009     rules without further ado;
  4010   - 'induct' method now derives symbolic cases from the *rulified*
  4011     rule (before it used to rulify cases stemming from the internal
  4012     atomized version); this means that the context of a non-atomic
  4013     statement becomes is included in the hypothesis, avoiding the
  4014     slightly cumbersome show "PROP ?case" form;
  4015   - 'induct' may now use elim-style induction rules without chaining
  4016     facts, using ``missing'' premises from the goal state; this allows
  4017     rules stemming from inductive sets to be applied in unstructured
  4018     scripts, while still benefitting from proper handling of non-atomic
  4019     statements; NB: major inductive premises need to be put first, all
  4020     the rest of the goal is passed through the induction;
  4021   - 'induct' proper support for mutual induction involving non-atomic
  4022     rule statements (uses the new concept of simultaneous goals, see
  4023     below);
  4024   - append all possible rule selections, but only use the first
  4025     success (no backtracking);
  4026   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  4027   - undeclared rule case names default to numbers 1, 2, 3, ...;
  4028   - added 'print_induct_rules' (covered by help item in recent Proof
  4029     General versions);
  4030   - moved induct/cases attributes to Pure, methods to Provers;
  4031   - generic method setup instantiated for FOL and HOL;
  4032 
  4033 * Pure: support multiple simultaneous goal statements, for example
  4034 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  4035 meta-level mechanism, this acts as if several individual goals had
  4036 been stated separately; in particular common proof methods need to be
  4037 repeated in order to cover all claims; note that a single elimination
  4038 step is *not* sufficient to establish the two conjunctions, so this
  4039 fails:
  4040 
  4041   assume "A & B" then have A and B ..   (*".." fails*)
  4042 
  4043 better use "obtain" in situations as above; alternative refer to
  4044 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  4045 
  4046 * Pure: proper integration with ``locales''; unlike the original
  4047 version by Florian Kammller, Isar locales package high-level proof
  4048 contexts rather than raw logical ones (e.g. we admit to include
  4049 attributes everywhere); operations on locales include merge and
  4050 rename; support for implicit arguments (``structures''); simultaneous
  4051 type-inference over imports and text; see also HOL/ex/Locales.thy for
  4052 some examples;
  4053 
  4054 * Pure: the following commands have been ``localized'', supporting a
  4055 target locale specification "(in name)": 'lemma', 'theorem',
  4056 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  4057 stored both within the locale and at the theory level (exported and
  4058 qualified by the locale name);
  4059 
  4060 * Pure: theory goals may now be specified in ``long'' form, with
  4061 ad-hoc contexts consisting of arbitrary locale elements. for example
  4062 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  4063 definitions may be given, too); the result is a meta-level rule with
  4064 the context elements being discharged in the obvious way;
  4065 
  4066 * Pure: new proof command 'using' allows to augment currently used
  4067 facts after a goal statement ('using' is syntactically analogous to
  4068 'apply', but acts on the goal's facts only); this allows chained facts
  4069 to be separated into parts given before and after a claim, as in
  4070 ``from a and b have C using d and e <proof>'';
  4071 
  4072 * Pure: renamed "antecedent" case to "rule_context";
  4073 
  4074 * Pure: new 'judgment' command records explicit information about the
  4075 object-logic embedding (used by several tools internally); no longer
  4076 use hard-wired "Trueprop";
  4077 
  4078 * Pure: added 'corollary' command;
  4079 
  4080 * Pure: fixed 'token_translation' command;
  4081 
  4082 * Pure: removed obsolete 'exported' attribute;
  4083 
  4084 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  4085 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  4086 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  4087 
  4088 * Pure: method 'atomize' presents local goal premises as object-level
  4089 statements (atomic meta-level propositions); setup controlled via
  4090 rewrite rules declarations of 'atomize' attribute; example
  4091 application: 'induct' method with proper rule statements in improper
  4092 proof *scripts*;
  4093 
  4094 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  4095 now consider the syntactic context of assumptions, giving a better
  4096 chance to get type-inference of the arguments right (this is
  4097 especially important for locales);
  4098 
  4099 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  4100 mode;
  4101 
  4102 * Pure/obtain: the formal conclusion "thesis", being marked as
  4103 ``internal'', may no longer be reference directly in the text;
  4104 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  4105 situations;
  4106 
  4107 * Pure: generic 'sym' attribute which declares a rule both as pure
  4108 'elim?' and for the 'symmetric' operation;
  4109 
  4110 * Pure: marginal comments ``--'' may now occur just anywhere in the
  4111 text; the fixed correlation with particular command syntax has been
  4112 discontinued;
  4113 
  4114 * Pure: new method 'rules' is particularly well-suited for proof
  4115 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  4116 but often produces more compact proof terms with less detours;
  4117 
  4118 * Pure/Provers/classical: simplified integration with pure rule
  4119 attributes and methods; the classical "intro?/elim?/dest?"
  4120 declarations coincide with the pure ones; the "rule" method no longer
  4121 includes classically swapped intros; "intro" and "elim" methods no
  4122 longer pick rules from the context; also got rid of ML declarations
  4123 AddXIs/AddXEs/AddXDs; all of this has some potential for
  4124 INCOMPATIBILITY;
  4125 
  4126 * Provers/classical: attribute 'swapped' produces classical inversions
  4127 of introduction rules;
  4128 
  4129 * Provers/simplifier: 'simplified' attribute may refer to explicit
  4130 rules instead of full simplifier context; 'iff' attribute handles
  4131 conditional rules;
  4132 
  4133 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  4134 
  4135 * HOL: 'recdef' now fails on unfinished automated proofs, use
  4136 "(permissive)" option to recover old behavior;
  4137 
  4138 * HOL: 'inductive' no longer features separate (collective) attributes
  4139 for 'intros' (was found too confusing);
  4140 
  4141 * HOL: properly declared induction rules less_induct and
  4142 wf_induct_rule;
  4143 
  4144 
  4145 *** HOL ***
  4146 
  4147 * HOL: moved over to sane numeral syntax; the new policy is as
  4148 follows:
  4149 
  4150   - 0 and 1 are polymorphic constants, which are defined on any
  4151   numeric type (nat, int, real etc.);
  4152 
  4153   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  4154   binary representation internally;
  4155 
  4156   - type nat has special constructor Suc, and generally prefers Suc 0
  4157   over 1::nat and Suc (Suc 0) over 2::nat;
  4158 
  4159 This change may cause significant problems of INCOMPATIBILITY; here
  4160 are some hints on converting existing sources:
  4161 
  4162   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  4163   entities, so expressions involving "-" (unary or binary minus) need
  4164   to be spaced properly;
  4165 
  4166   - existing occurrences of "1" may need to be constraint "1::nat" or
  4167   even replaced by Suc 0; similar for old "2";
  4168 
  4169   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  4170 
  4171   - remove all special provisions on numerals in proofs;
  4172 
  4173 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  4174 representation (depends on bin_arith_simps in the default context);
  4175 
  4176 * HOL: symbolic syntax for x^2 (numeral 2);
  4177 
  4178 * HOL: the class of all HOL types is now called "type" rather than
  4179 "term"; INCOMPATIBILITY, need to adapt references to this type class
  4180 in axclass/classes, instance/arities, and (usually rare) occurrences
  4181 in typings (of consts etc.); internally the class is called
  4182 "HOL.type", ML programs should refer to HOLogic.typeS;
  4183 
  4184 * HOL/record package improvements:
  4185   - new derived operations "fields" to build a partial record section,
  4186     "extend" to promote a fixed record to a record scheme, and
  4187     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  4188     declared as simp by default;
  4189   - shared operations ("more", "fields", etc.) now need to be always
  4190     qualified) --- potential INCOMPATIBILITY;
  4191   - removed "make_scheme" operations (use "make" with "extend") --
  4192     INCOMPATIBILITY;
  4193   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  4194   - provides cases/induct rules for use with corresponding Isar
  4195     methods (for concrete records, record schemes, concrete more
  4196     parts, and schematic more parts -- in that order);
  4197   - internal definitions directly based on a light-weight abstract
  4198     theory of product types over typedef rather than datatype;
  4199 
  4200 * HOL: generic code generator for generating executable ML code from
  4201 specifications; specific support for HOL constructs such as inductive
  4202 datatypes and sets, as well as recursive functions; can be invoked
  4203 via 'generate_code' theory section;
  4204 
  4205 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  4206 
  4207 * HOL: consolidated and renamed several theories.  In particular:
  4208         Ord.thy has been absorbed into HOL.thy
  4209         String.thy has been absorbed into List.thy
  4210 
  4211 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  4212 (beware of argument permutation!);
  4213 
  4214 * HOL: linorder_less_split superseded by linorder_cases;
  4215 
  4216 * HOL/List: "nodups" renamed to "distinct";
  4217 
  4218 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  4219 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  4220   - Ex_def has changed, now need to use some_eq_ex
  4221 
  4222 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  4223 in this (rare) case use:
  4224 
  4225   delSWrapper "split_all_tac"
  4226   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  4227 
  4228 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  4229 MAY FAIL;
  4230 
  4231 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  4232 Isabelle's type classes, ^ on functions and relations has too general
  4233 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  4234 necessary to attach explicit type constraints;
  4235 
  4236 * HOL/Relation: the prefix name of the infix "O" has been changed from
  4237 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  4238 renamed accordingly (eg "compI" -> "rel_compI").
  4239 
  4240 * HOL: syntax translations now work properly with numerals and records
  4241 expressions;
  4242 
  4243 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  4244 of "lam" -- INCOMPATIBILITY;
  4245 
  4246 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  4247 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  4248 renamed "Product_Type.unit";
  4249 
  4250 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  4251 
  4252 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  4253 the "cases" method);
  4254 
  4255 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  4256 Florian Kammller);
  4257 
  4258 * HOL/IMP: updated and converted to new-style theory format; several
  4259 parts turned into readable document, with proper Isar proof texts and
  4260 some explanations (by Gerwin Klein);
  4261 
  4262 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  4263 
  4264 * HOL-Hyperreal is now a logic image;
  4265 
  4266 
  4267 *** HOLCF ***
  4268 
  4269 * Isar: consts/constdefs supports mixfix syntax for continuous
  4270 operations;
  4271 
  4272 * Isar: domain package adapted to new-style theory format, e.g. see
  4273 HOLCF/ex/Dnat.thy;
  4274 
  4275 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  4276 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  4277 lift.induct_tac, always use UU instead of Undef;
  4278 
  4279 * HOLCF/IMP: updated and converted to new-style theory;
  4280 
  4281 
  4282 *** ZF ***
  4283 
  4284 * Isar: proper integration of logic-specific tools and packages,
  4285 including theory commands '(co)inductive', '(co)datatype',
  4286 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  4287 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  4288 
  4289 * theory Main no longer includes AC; for the Axiom of Choice, base
  4290 your theory on Main_ZFC;
  4291 
  4292 * the integer library now covers quotients and remainders, with many
  4293 laws relating division to addition, multiplication, etc.;
  4294 
  4295 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  4296 typeless version of the formalism;
  4297 
  4298 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  4299 format;
  4300 
  4301 * ZF/Induct: new directory for examples of inductive definitions,
  4302 including theory Multiset for multiset orderings; converted to
  4303 new-style theory format;
  4304 
  4305 * ZF: many new theorems about lists, ordinals, etc.;
  4306 
  4307 
  4308 *** General ***
  4309 
  4310 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  4311 variable proof controls level of detail: 0 = no proofs (only oracle
  4312 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  4313 also ref manual for further ML interfaces;
  4314 
  4315 * Pure/axclass: removed obsolete ML interface
  4316 goal_subclass/goal_arity;
  4317 
  4318 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  4319 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  4320 separate tokens, so expressions involving minus need to be spaced
  4321 properly;
  4322 
  4323 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  4324 rather than "infixl" or "infixr";
  4325 
  4326 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  4327 sort constraint specifications in type inference; e.g. "x::_::foo"
  4328 ensures that the type of "x" is of sort "foo" (but not necessarily a
  4329 type variable);
  4330 
  4331 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  4332 control output of nested => (types); the default behavior is
  4333 "type_brackets";
  4334 
  4335 * Pure/syntax: builtin parse translation for "_constify" turns valued
  4336 tokens into AST constants;
  4337 
  4338 * Pure/syntax: prefer later declarations of translations and print
  4339 translation functions; potential INCOMPATIBILITY: need to reverse
  4340 multiple declarations for same syntax element constant;
  4341 
  4342 * Pure/show_hyps reset by default (in accordance to existing Isar
  4343 practice);
  4344 
  4345 * Provers/classical: renamed addaltern to addafter, addSaltern to
  4346 addSafter;
  4347 
  4348 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  4349 as well;
  4350 
  4351 * system: tested support for MacOS X; should be able to get Isabelle +
  4352 Proof General to work in a plain Terminal after installing Poly/ML
  4353 (e.g. from the Isabelle distribution area) and GNU bash alone
  4354 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  4355 support requires further installations, e.g. from
  4356 http://fink.sourceforge.net/);
  4357 
  4358 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  4359 
  4360 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  4361 of 40 MB), cf. ML_OPTIONS;
  4362 
  4363 * system: Proof General keywords specification is now part of the
  4364 Isabelle distribution (see etc/isar-keywords.el);
  4365 
  4366 * system: support for persistent Proof General sessions (refrain from
  4367 outdating all loaded theories on startup); user may create writable
  4368 logic images like this: ``isabelle -q HOL Test'';
  4369 
  4370 * system: smart selection of Isabelle process versus Isabelle
  4371 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  4372 run both "isabelle" and "Isabelle" even if file names are badly
  4373 damaged (executable inspects the case of the first letter of its own
  4374 name); added separate "isabelle-process" and "isabelle-interface";
  4375 
  4376 * system: refrain from any attempt at filtering input streams; no
  4377 longer support ``8bit'' encoding of old isabelle font, instead proper
  4378 iso-latin characters may now be used; the related isatools
  4379 "symbolinput" and "nonascii" have disappeared as well;
  4380 
  4381 * system: removed old "xterm" interface (the print modes "xterm" and
  4382 "xterm_color" are still available for direct use in a suitable
  4383 terminal);
  4384 
  4385 
  4386 
  4387 New in Isabelle99-2 (February 2001)
  4388 -----------------------------------
  4389 
  4390 *** Overview of INCOMPATIBILITIES ***
  4391 
  4392 * HOL: please note that theories in the Library and elsewhere often use the
  4393 new-style (Isar) format; to refer to their theorems in an ML script you must
  4394 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  4395 
  4396 * HOL: inductive package no longer splits induction rule aggressively,
  4397 but only as far as specified by the introductions given; the old
  4398 format may be recovered via ML function complete_split_rule or attribute
  4399 'split_rule (complete)';
  4400 
  4401 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  4402 gfp_Tarski to gfp_unfold;
  4403 
  4404 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  4405 
  4406 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  4407 relation); infix "^^" has been renamed "``"; infix "``" has been
  4408 renamed "`"; "univalent" has been renamed "single_valued";
  4409 
  4410 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  4411 operation;
  4412 
  4413 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  4414 
  4415 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  4416 
  4417 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  4418 consequence, it is no longer monotonic wrt. the local goal context
  4419 (which is now passed through the inductive cases);
  4420 
  4421 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  4422 \<gg> to \<ggreater>;
  4423 
  4424 
  4425 *** Document preparation ***
  4426 
  4427 * \isabellestyle{NAME} selects version of Isabelle output (currently
  4428 available: are "it" for near math-mode best-style output, "sl" for
  4429 slanted text style, and "tt" for plain type-writer; if no
  4430 \isabellestyle command is given, output is according to slanted
  4431 type-writer);
  4432 
  4433 * support sub/super scripts (for single symbols only), input syntax is
  4434 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  4435 
  4436 * some more standard symbols; see Appendix A of the system manual for
  4437 the complete list of symbols defined in isabellesym.sty;
  4438 
  4439 * improved isabelle style files; more abstract symbol implementation
  4440 (should now use \isamath{...} and \isatext{...} in custom symbol
  4441 definitions);
  4442 
  4443 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  4444 state; Note that presentation of goal states does not conform to
  4445 actual human-readable proof documents.  Please do not include goal
  4446 states into document output unless you really know what you are doing!
  4447 
  4448 * proper indentation of antiquoted output with proportional LaTeX
  4449 fonts;
  4450 
  4451 * no_document ML operator temporarily disables LaTeX document
  4452 generation;
  4453 
  4454 * isatool unsymbolize tunes sources for plain ASCII communication;
  4455 
  4456 
  4457 *** Isar ***
  4458 
  4459 * Pure: Isar now suffers initial goal statements to contain unbound
  4460 schematic variables (this does not conform to actual readable proof
  4461 documents, due to unpredictable outcome and non-compositional proof
  4462 checking); users who know what they are doing may use schematic goals
  4463 for Prolog-style synthesis of proven results;
  4464 
  4465 * Pure: assumption method (an implicit finishing) now handles actual
  4466 rules as well;
  4467 
  4468 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  4469 initial goal, declare "that" only as Pure intro (only for single
  4470 steps); the "that" rule assumption may now be involved in implicit
  4471 finishing, thus ".." becomes a feasible for trivial obtains;
  4472 
  4473 * Pure: default proof step now includes 'intro_classes'; thus trivial
  4474 instance proofs may be performed by "..";
  4475 
  4476 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  4477 statements as well;
  4478 
  4479 * Pure: more robust selection of calculational rules;
  4480 
  4481 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  4482 rule (as well as the assumption rule);
  4483 
  4484 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  4485 lemmas, using the graph browser tool;
  4486 
  4487 * Pure: predict failure of "show" in interactive mode;
  4488 
  4489 * Pure: 'thms_containing' now takes actual terms as arguments;
  4490 
  4491 * HOL: improved method 'induct' --- now handles non-atomic goals
  4492 (potential INCOMPATIBILITY); tuned error handling;
  4493 
  4494 * HOL: cases and induct rules now provide explicit hints about the
  4495 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  4496 any remaining facts are inserted into the goal verbatim;
  4497 
  4498 * HOL: local contexts (aka cases) may now contain term bindings as
  4499 well; the 'cases' and 'induct' methods new provide a ?case binding for
  4500 the result to be shown in each case;
  4501 
  4502 * HOL: added 'recdef_tc' command;
  4503 
  4504 * isatool convert assists in eliminating legacy ML scripts;
  4505 
  4506 
  4507 *** HOL ***
  4508 
  4509 * HOL/Library: a collection of generic theories to be used together
  4510 with main HOL; the theory loader path already includes this directory
  4511 by default; the following existing theories have been moved here:
  4512 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  4513 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  4514 
  4515 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  4516 modelling and verification task performed in Isabelle/HOL +
  4517 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  4518 
  4519 * HOL/Algebra: special summation operator SUM no longer exists, it has
  4520 been replaced by setsum; infix 'assoc' now has priority 50 (like
  4521 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  4522 'domain', this makes the theory consistent with mathematical
  4523 literature;
  4524 
  4525 * HOL basics: added overloaded operations "inverse" and "divide"
  4526 (infix "/"), syntax for generic "abs" operation, generic summation
  4527 operator \<Sum>;
  4528 
  4529 * HOL/typedef: simplified package, provide more useful rules (see also
  4530 HOL/subset.thy);
  4531 
  4532 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  4533 now expressed as a proper nested rule (old-style tactic scripts may
  4534 require atomize_strip_tac to cope with non-atomic premises);
  4535 
  4536 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  4537 to "split_conv" (old name still available for compatibility);
  4538 
  4539 * HOL: improved concrete syntax for strings (e.g. allows translation
  4540 rules with string literals);
  4541 
  4542 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  4543  and Fleuriot's mechanization of analysis, including the transcendental
  4544  functions for the reals;
  4545 
  4546 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  4547 
  4548 
  4549 *** CTT ***
  4550 
  4551 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  4552 "lam" is displayed as TWO lambda-symbols
  4553 
  4554 * CTT: theory Main now available, containing everything (that is, Bool
  4555 and Arith);
  4556 
  4557 
  4558 *** General ***
  4559 
  4560 * Pure: the Simplifier has been implemented properly as a derived rule
  4561 outside of the actual kernel (at last!); the overall performance
  4562 penalty in practical applications is about 50%, while reliability of
  4563 the Isabelle inference kernel has been greatly improved;
  4564 
  4565 * print modes "brackets" and "no_brackets" control output of nested =>
  4566 (types) and ==> (props); the default behaviour is "brackets";
  4567 
  4568 * Provers: fast_tac (and friends) now handle actual object-logic rules
  4569 as assumptions as well;
  4570 
  4571 * system: support Poly/ML 4.0;
  4572 
  4573 * system: isatool install handles KDE version 1 or 2;
  4574 
  4575 
  4576 
  4577 New in Isabelle99-1 (October 2000)
  4578 ----------------------------------
  4579 
  4580 *** Overview of INCOMPATIBILITIES ***
  4581 
  4582 * HOL: simplification of natural numbers is much changed; to partly
  4583 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  4584 issue the following ML commands:
  4585 
  4586   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  4587   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  4588 
  4589 * HOL: simplification no longer dives into case-expressions; this is
  4590 controlled by "t.weak_case_cong" for each datatype t;
  4591 
  4592 * HOL: nat_less_induct renamed to less_induct;
  4593 
  4594 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  4595 fixsome to patch .thy and .ML sources automatically;
  4596 
  4597   select_equality  -> some_equality
  4598   select_eq_Ex     -> some_eq_ex
  4599   selectI2EX       -> someI2_ex
  4600   selectI2         -> someI2
  4601   selectI          -> someI
  4602   select1_equality -> some1_equality
  4603   Eps_sym_eq       -> some_sym_eq_trivial
  4604   Eps_eq           -> some_eq_trivial
  4605 
  4606 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  4607 
  4608 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  4609 instead);
  4610 
  4611 * HOL: the recursion equations generated by 'recdef' are now called
  4612 f.simps instead of f.rules;
  4613 
  4614 * HOL: qed_spec_mp now also handles bounded ALL as well;
  4615 
  4616 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  4617 sometimes be needed;
  4618 
  4619 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  4620 
  4621 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  4622 
  4623 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  4624 product is now "<*>" instead of "Times"; the lexicographic product is
  4625 now "<*lex*>" instead of "**";
  4626 
  4627 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  4628 of main HOL, but was unused); better use HOL's datatype package;
  4629 
  4630 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  4631 the old syntax may be recovered as follows:
  4632 
  4633   syntax (symbols)
  4634     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  4635       (infixl "\\<oplus>" 100)
  4636 
  4637 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  4638 
  4639 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  4640 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  4641 internally;
  4642 
  4643 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  4644 changed from A/r to A//r;
  4645 
  4646 * ZF: new treatment of arithmetic (nat & int) may break some old
  4647 proofs;
  4648 
  4649 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  4650 rulify -> rule_format, elimify -> elim_format, ...);
  4651 
  4652 * Isar/Provers: intro/elim/dest attributes changed; renamed
  4653 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  4654 should have to change intro!! to intro? only); replaced "delrule" by
  4655 "rule del";
  4656 
  4657 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  4658 
  4659 * Provers: strengthened force_tac by using new first_best_tac;
  4660 
  4661 * LaTeX document preparation: several changes of isabelle.sty (see
  4662 lib/texinputs);
  4663 
  4664 
  4665 *** Document preparation ***
  4666 
  4667 * formal comments (text blocks etc.) in new-style theories may now
  4668 contain antiquotations of thm/prop/term/typ/text to be presented
  4669 according to latex print mode; concrete syntax is like this:
  4670 @{term[show_types] "f(x) = a + x"};
  4671 
  4672 * isatool mkdir provides easy setup of Isabelle session directories,
  4673 including proper document sources;
  4674 
  4675 * generated LaTeX sources are now deleted after successful run
  4676 (isatool document -c); may retain a copy somewhere else via -D option
  4677 of isatool usedir;
  4678 
  4679 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  4680 style files, achieving self-contained LaTeX sources and simplifying
  4681 LaTeX debugging;
  4682 
  4683 * old-style theories now produce (crude) LaTeX output as well;
  4684 
  4685 * browser info session directories are now self-contained (may be put
  4686 on WWW server seperately); improved graphs of nested sessions; removed
  4687 graph for 'all sessions';
  4688 
  4689 * several improvements in isabelle style files; \isabellestyle{it}
  4690 produces fake math mode output; \isamarkupheader is now \section by
  4691 default; see lib/texinputs/isabelle.sty etc.;
  4692 
  4693 
  4694 *** Isar ***
  4695 
  4696 * Isar/Pure: local results and corresponding term bindings are now
  4697 subject to Hindley-Milner polymorphism (similar to ML); this
  4698 accommodates incremental type-inference very nicely;
  4699 
  4700 * Isar/Pure: new derived language element 'obtain' supports
  4701 generalized existence reasoning;
  4702 
  4703 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  4704 support accumulation of results, without applying any rules yet;
  4705 useful to collect intermediate results without explicit name
  4706 references, and for use with transitivity rules with more than 2
  4707 premises;
  4708 
  4709 * Isar/Pure: scalable support for case-analysis type proofs: new
  4710 'case' language element refers to local contexts symbolically, as
  4711 produced by certain proof methods; internally, case names are attached
  4712 to theorems as "tags";
  4713 
  4714 * Isar/Pure: theory command 'hide' removes declarations from
  4715 class/type/const name spaces;
  4716 
  4717 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  4718 indicate potential overloading;
  4719 
  4720 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  4721 
  4722 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  4723 "{a,b,c}" instead of {a,b,c};
  4724 
  4725 * Isar/Pure now provides its own version of intro/elim/dest
  4726 attributes; useful for building new logics, but beware of confusion
  4727 with the version in Provers/classical;
  4728 
  4729 * Isar/Pure: the local context of (non-atomic) goals is provided via
  4730 case name 'antecedent';
  4731 
  4732 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  4733 to the current context is now done automatically);
  4734 
  4735 * Isar/Pure: theory command 'method_setup' provides a simple interface
  4736 for definining proof methods in ML;
  4737 
  4738 * Isar/Provers: intro/elim/dest attributes changed; renamed
  4739 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  4740 most cases, one should have to change intro!! to intro? only);
  4741 replaced "delrule" by "rule del";
  4742 
  4743 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  4744 'symmetric' attribute (the latter supercedes [RS sym]);
  4745 
  4746 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  4747 method modifier); 'simp' method: 'only:' modifier removes loopers as
  4748 well (including splits);
  4749 
  4750 * Isar/Provers: Simplifier and Classical methods now support all kind
  4751 of modifiers used in the past, including 'cong', 'iff', etc.
  4752 
  4753 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  4754 of Simplifier and Classical reasoner);
  4755 
  4756 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  4757 now support named cases; major packages (inductive, datatype, primrec,
  4758 recdef) support case names and properly name parameters;
  4759 
  4760 * Isar/HOL: new transitivity rules for substitution in inequalities --
  4761 monotonicity conditions are extracted to be proven at end of
  4762 calculations;
  4763 
  4764 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  4765 method anyway;
  4766 
  4767 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  4768 split_if split_if_asm; datatype package provides theorems foo.splits =
  4769 foo.split foo.split_asm for each datatype;
  4770 
  4771 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  4772 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  4773 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  4774 use "(cases (simplified))" method in proper proof texts);
  4775 
  4776 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  4777 
  4778 * Isar: names of theorems etc. may be natural numbers as well;
  4779 
  4780 * Isar: 'pr' command: optional arguments for goals_limit and
  4781 ProofContext.prems_limit; no longer prints theory contexts, but only
  4782 proof states;
  4783 
  4784 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  4785 additional print modes to be specified; e.g. "pr(latex)" will print
  4786 proof state according to the Isabelle LaTeX style;
  4787 
  4788 * Isar: improved support for emulating tactic scripts, including proof
  4789 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  4790 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  4791 (for HOL datatypes);
  4792 
  4793 * Isar: simplified (more robust) goal selection of proof methods: 1st
  4794 goal, all goals, or explicit goal specifier (tactic emulation); thus
  4795 'proof method scripts' have to be in depth-first order;
  4796 
  4797 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  4798 
  4799 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  4800 should instead use individual commands for printing items
  4801 (print_commands, print_methods etc.);
  4802 
  4803 * Isar: added 'nothing' --- the empty list of theorems;
  4804 
  4805 
  4806 *** HOL ***
  4807 
  4808 * HOL/MicroJava: formalization of a fragment of Java, together with a
  4809 corresponding virtual machine and a specification of its bytecode
  4810 verifier and a lightweight bytecode verifier, including proofs of
  4811 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  4812 Cornelia Pusch (see also the homepage of project Bali at
  4813 http://isabelle.in.tum.de/Bali/);
  4814 
  4815 * HOL/Algebra: new theory of rings and univariate polynomials, by
  4816 Clemens Ballarin;
  4817 
  4818 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  4819 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  4820 Rasmussen;
  4821 
  4822 * HOL/Lattice: fundamental concepts of lattice theory and order
  4823 structures, including duals, properties of bounds versus algebraic
  4824 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  4825 Theorem for complete lattices etc.; may also serve as a demonstration
  4826 for abstract algebraic reasoning using axiomatic type classes, and
  4827 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  4828 
  4829 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  4830 von Oheimb;
  4831 
  4832 * HOL/IMPP: extension of IMP with local variables and mutually
  4833 recursive procedures, by David von Oheimb;
  4834 
  4835 * HOL/Lambda: converted into new-style theory and document;
  4836 
  4837 * HOL/ex/Multiquote: example of multiple nested quotations and
  4838 anti-quotations -- basically a generalized version of de-Bruijn
  4839 representation; very useful in avoiding lifting of operations;
  4840 
  4841 * HOL/record: added general record equality rule to simpset; fixed
  4842 select-update simplification procedure to handle extended records as
  4843 well; admit "r" as field name;
  4844 
  4845 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  4846 other numeric types and also as the identity of groups, rings, etc.;
  4847 
  4848 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  4849 Types nat and int belong to this axclass;
  4850 
  4851 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  4852    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  4853    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  4854   two terms #m*u and #n*u are replaced by #(m+n)*u
  4855     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  4856   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  4857     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  4858 
  4859 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  4860 powerful prover for predicate logic but knows nothing of clasets; see
  4861 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  4862 
  4863 * HOL: new version of "case_tac" subsumes both boolean case split and
  4864 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  4865 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  4866 
  4867 * HOL: simplification no longer dives into case-expressions: only the
  4868 selector expression is simplified, but not the remaining arms; to
  4869 enable full simplification of case-expressions for datatype t, you may
  4870 remove t.weak_case_cong from the simpset, either globally (Delcongs
  4871 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  4872 
  4873 * HOL/recdef: the recursion equations generated by 'recdef' for
  4874 function 'f' are now called f.simps instead of f.rules; if all
  4875 termination conditions are proved automatically, these simplification
  4876 rules are added to the simpset, as in primrec; rules may be named
  4877 individually as well, resulting in a separate list of theorems for
  4878 each equation;
  4879 
  4880 * HOL/While is a new theory that provides a while-combinator. It
  4881 permits the definition of tail-recursive functions without the
  4882 provision of a termination measure. The latter is necessary once the
  4883 invariant proof rule for while is applied.
  4884 
  4885 * HOL: new (overloaded) notation for the set of elements below/above
  4886 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  4887 
  4888 * HOL: theorems impI, allI, ballI bound as "strip";
  4889 
  4890 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  4891 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  4892 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  4893 
  4894 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  4895 
  4896 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  4897 main HOL, but was unused);
  4898 
  4899 * HOL: fewer consts declared as global (e.g. have to refer to
  4900 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  4901 
  4902 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  4903 in case of overlap with user translations (e.g. judgements over
  4904 tuples); (note that the underlying logical represenation is still
  4905 bogus);
  4906 
  4907 
  4908 *** ZF ***
  4909 
  4910 * ZF: simplification automatically cancels common terms in arithmetic
  4911 expressions over nat and int;
  4912 
  4913 * ZF: new treatment of nat to minimize type-checking: all operators
  4914 coerce their operands to a natural number using the function natify,
  4915 making the algebraic laws unconditional;
  4916 
  4917 * ZF: as above, for int: operators coerce their operands to an integer
  4918 using the function intify;
  4919 
  4920 * ZF: the integer library now contains many of the usual laws for the
  4921 orderings, including $<=, and monotonicity laws for $+ and $*;
  4922 
  4923 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  4924 simplification;
  4925 
  4926 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  4927 to the simplifier and classical reasoner simultaneously;
  4928 
  4929 
  4930 *** General ***
  4931 
  4932 * Provers: blast_tac now handles actual object-logic rules as
  4933 assumptions; note that auto_tac uses blast_tac internally as well;
  4934 
  4935 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  4936 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  4937 
  4938 * Provers: delrules now handles destruct rules as well (no longer need
  4939 explicit make_elim);
  4940 
  4941 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  4942   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  4943 use instead the strong form,
  4944   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  4945 in HOL, FOL and ZF the function cla_make_elim will create such rules
  4946 from destruct-rules;
  4947 
  4948 * Provers: Simplifier.easy_setup provides a fast path to basic
  4949 Simplifier setup for new object-logics;
  4950 
  4951 * Pure: AST translation rules no longer require constant head on LHS;
  4952 
  4953 * Pure: improved name spaces: ambiguous output is qualified; support
  4954 for hiding of names;
  4955 
  4956 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  4957 XSYMBOL_HOME; no longer need to do manual configuration in most
  4958 situations;
  4959 
  4960 * system: compression of ML heaps images may now be controlled via -c
  4961 option of isabelle and isatool usedir (currently only observed by
  4962 Poly/ML);
  4963 
  4964 * system: isatool installfonts may handle X-Symbol fonts as well (very
  4965 useful for remote X11);
  4966 
  4967 * system: provide TAGS file for Isabelle sources;
  4968 
  4969 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  4970 order;
  4971 
  4972 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  4973 timing flag supersedes proof_timing and Toplevel.trace;
  4974 
  4975 * ML: new combinators |>> and |>>> for incremental transformations
  4976 with secondary results (e.g. certain theory extensions):
  4977 
  4978 * ML: PureThy.add_defs gets additional argument to indicate potential
  4979 overloading (usually false);
  4980 
  4981 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  4982 results;
  4983 
  4984 
  4985 
  4986 New in Isabelle99 (October 1999)
  4987 --------------------------------
  4988 
  4989 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  4990 
  4991 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  4992 are no longer simplified.  (This allows the simplifier to unfold recursive
  4993 functional programs.)  To restore the old behaviour, declare
  4994 
  4995     Delcongs [if_weak_cong];
  4996 
  4997 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  4998 complement;
  4999 
  5000 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  5001 
  5002 * HOL/datatype: mutual_induct_tac no longer exists --
  5003   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  5004 
  5005 * HOL/typedef: fixed type inference for representing set; type
  5006 arguments now have to occur explicitly on the rhs as type constraints;
  5007 
  5008 * ZF: The con_defs part of an inductive definition may no longer refer
  5009 to constants declared in the same theory;
  5010 
  5011 * HOL, ZF: the function mk_cases, generated by the inductive
  5012 definition package, has lost an argument.  To simplify its result, it
  5013 uses the default simpset instead of a supplied list of theorems.
  5014 
  5015 * HOL/List: the constructors of type list are now Nil and Cons;
  5016 
  5017 * Simplifier: the type of the infix ML functions
  5018         setSSolver addSSolver setSolver addSolver
  5019 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  5020 for packaging solvers. A solver is created via
  5021         mk_solver: string -> (thm list -> int -> tactic) -> solver
  5022 where the string argument is only a comment.
  5023 
  5024 
  5025 *** Proof tools ***
  5026 
  5027 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  5028 decision procedure for linear arithmetic. Currently it is used for
  5029 types `nat', `int', and `real' in HOL (see below); it can, should and
  5030 will be instantiated for other types and logics as well.
  5031 
  5032 * The simplifier now accepts rewrite rules with flexible heads, eg
  5033      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  5034   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  5035   matching.
  5036 
  5037 
  5038 *** General ***
  5039 
  5040 * New Isabelle/Isar subsystem provides an alternative to traditional
  5041 tactical theorem proving; together with the ProofGeneral/isar user
  5042 interface it offers an interactive environment for developing human
  5043 readable proof documents (Isar == Intelligible semi-automated
  5044 reasoning); for further information see isatool doc isar-ref,
  5045 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  5046 
  5047 * improved and simplified presentation of theories: better HTML markup
  5048 (including colors), graph views in several sizes; isatool usedir now
  5049 provides a proper interface for user theories (via -P option); actual
  5050 document preparation based on (PDF)LaTeX is available as well (for
  5051 new-style theories only); see isatool doc system for more information;
  5052 
  5053 * native support for Proof General, both for classic Isabelle and
  5054 Isabelle/Isar;
  5055 
  5056 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  5057 using the graph browser tool;
  5058 
  5059 * Isabelle manuals now also available as PDF;
  5060 
  5061 * theory loader rewritten from scratch (may not be fully
  5062 bug-compatible); old loadpath variable has been replaced by show_path,
  5063 add_path, del_path, reset_path functions; new operations such as
  5064 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  5065 isatool doc ref);
  5066 
  5067 * improved isatool install: option -k creates KDE application icon,
  5068 option -p DIR installs standalone binaries;
  5069 
  5070 * added ML_PLATFORM setting (useful for cross-platform installations);
  5071 more robust handling of platform specific ML images for SML/NJ;
  5072 
  5073 * the settings environment is now statically scoped, i.e. it is never
  5074 created again in sub-processes invoked from isabelle, isatool, or
  5075 Isabelle;
  5076 
  5077 * path element specification '~~' refers to '$ISABELLE_HOME';
  5078 
  5079 * in locales, the "assumes" and "defines" parts may be omitted if
  5080 empty;
  5081 
  5082 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  5083 long arrows);
  5084 
  5085 * new print_mode "HTML";
  5086 
  5087 * new flag show_tags controls display of tags of theorems (which are
  5088 basically just comments that may be attached by some tools);
  5089 
  5090 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  5091 mode and goal output format:
  5092 
  5093 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  5094 244c244
  5095 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  5096 ---
  5097 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  5098 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  5099 181c181
  5100 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  5101 ---
  5102 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  5103 
  5104 * function bind_thms stores lists of theorems (cf. bind_thm);
  5105 
  5106 * new shorthand tactics ftac, eatac, datac, fatac;
  5107 
  5108 * qed (and friends) now accept "" as result name; in that case the
  5109 theorem is not stored, but proper checks and presentation of the
  5110 result still apply;
  5111 
  5112 * theorem database now also indexes constants "Trueprop", "all",
  5113 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  5114 
  5115 
  5116 *** HOL ***
  5117 
  5118 ** HOL arithmetic **
  5119 
  5120 * There are now decision procedures for linear arithmetic over nat and
  5121 int:
  5122 
  5123 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  5124 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  5125 are treated as atomic; subformulae not involving type `nat' or `int'
  5126 are ignored; quantified subformulae are ignored unless they are
  5127 positive universal or negative existential. The tactic has to be
  5128 invoked by hand and can be a little bit slow. In particular, the
  5129 running time is exponential in the number of occurrences of `min' and
  5130 `max', and `-' on `nat'.
  5131 
  5132 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  5133 (negated) (in)equalities among the premises and the conclusion into
  5134 account (i.e. no compound formulae) and does not know about `min' and
  5135 `max', and `-' on `nat'. It is fast and is used automatically by the
  5136 simplifier.
  5137 
  5138 NB: At the moment, these decision procedures do not cope with mixed
  5139 nat/int formulae where the two parts interact, such as `m < n ==>
  5140 int(m) < int(n)'.
  5141 
  5142 * HOL/Numeral provides a generic theory of numerals (encoded
  5143 efficiently as bit strings); setup for types nat/int/real is in place;
  5144 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  5145 int, existing theories and proof scripts may require a few additional
  5146 type constraints;
  5147 
  5148 * integer division and remainder can now be performed on constant
  5149 arguments;
  5150 
  5151 * many properties of integer multiplication, division and remainder
  5152 are now available;
  5153 
  5154 * An interface to the Stanford Validity Checker (SVC) is available through the
  5155 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  5156 are proved automatically.  SVC must be installed separately, and its results
  5157 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  5158 invocation of the underlying oracle).  For SVC see
  5159   http://verify.stanford.edu/SVC
  5160 
  5161 * IsaMakefile: the HOL-Real target now builds an actual image;
  5162 
  5163 
  5164 ** HOL misc **
  5165 
  5166 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  5167 (in Isabelle/Isar) -- by Gertrud Bauer;
  5168 
  5169 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  5170 analysis for assembly languages with subtypes;
  5171 
  5172 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  5173 -- avoids syntactic ambiguities and treats state, transition, and
  5174 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  5175 changed syntax and (many) tactics;
  5176 
  5177 * HOL/inductive: Now also handles more general introduction rules such
  5178   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  5179   theorems are now maintained within the theory (maintained via the
  5180   "mono" attribute);
  5181 
  5182 * HOL/datatype: Now also handles arbitrarily branching datatypes
  5183   (using function types) such as
  5184 
  5185   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  5186 
  5187 * HOL/record: record_simproc (part of the default simpset) takes care
  5188 of selectors applied to updated records; record_split_tac is no longer
  5189 part of the default claset; update_defs may now be removed from the
  5190 simpset in many cases; COMPATIBILITY: old behavior achieved by
  5191 
  5192   claset_ref () := claset() addSWrapper record_split_wrapper;
  5193   Delsimprocs [record_simproc]
  5194 
  5195 * HOL/typedef: fixed type inference for representing set; type
  5196 arguments now have to occur explicitly on the rhs as type constraints;
  5197 
  5198 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  5199 names rather than an ML expression;
  5200 
  5201 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  5202 supplied later.  Program schemes can be defined, such as
  5203     "While B C s = (if B s then While B C (C s) else s)"
  5204 where the well-founded relation can be chosen after B and C have been given.
  5205 
  5206 * HOL/List: the constructors of type list are now Nil and Cons;
  5207 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  5208 course, ML tools referring to List.list.op # etc. have to be adapted;
  5209 
  5210 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  5211 disabled by default; run isabelle with option -m HOL to get back to
  5212 the original Gordon/HOL-style output;
  5213 
  5214 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  5215 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  5216 
  5217 * HOL basic syntax simplified (more orthogonal): all variants of
  5218 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  5219 Eps operator is provided as well: "SOME x. P[x]";
  5220 
  5221 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  5222 
  5223 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  5224 thus available for user theories;
  5225 
  5226 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  5227 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  5228 time;
  5229 
  5230 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  5231 several times and then mp;
  5232 
  5233 
  5234 *** LK ***
  5235 
  5236 * the notation <<...>> is now available as a notation for sequences of
  5237 formulas;
  5238 
  5239 * the simplifier is now installed
  5240 
  5241 * the axiom system has been generalized (thanks to Soren Heilmann)
  5242 
  5243 * the classical reasoner now has a default rule database
  5244 
  5245 
  5246 *** ZF ***
  5247 
  5248 * new primrec section allows primitive recursive functions to be given
  5249 directly (as in HOL) over datatypes and the natural numbers;
  5250 
  5251 * new tactics induct_tac and exhaust_tac for induction (or case
  5252 analysis) over datatypes and the natural numbers;
  5253 
  5254 * the datatype declaration of type T now defines the recursor T_rec;
  5255 
  5256 * simplification automatically does freeness reasoning for datatype
  5257 constructors;
  5258 
  5259 * automatic type-inference, with AddTCs command to insert new
  5260 type-checking rules;
  5261 
  5262 * datatype introduction rules are now added as Safe Introduction rules
  5263 to the claset;
  5264 
  5265 * the syntax "if P then x else y" is now available in addition to
  5266 if(P,x,y);
  5267 
  5268 
  5269 *** Internal programming interfaces ***
  5270 
  5271 * tuned simplifier trace output; new flag debug_simp;
  5272 
  5273 * structures Vartab / Termtab (instances of TableFun) offer efficient
  5274 tables indexed by indexname_ord / term_ord (compatible with aconv);
  5275 
  5276 * AxClass.axclass_tac lost the theory argument;
  5277 
  5278 * tuned current_goals_markers semantics: begin / end goal avoids
  5279 printing empty lines;
  5280 
  5281 * removed prs and prs_fn hook, which was broken because it did not
  5282 include \n in its semantics, forcing writeln to add one
  5283 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  5284 string -> unit if you really want to output text without newline;
  5285 
  5286 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  5287 plain output, interface builders may have to enable 'isabelle_font'
  5288 mode to get Isabelle font glyphs as before;
  5289 
  5290 * refined token_translation interface; INCOMPATIBILITY: output length
  5291 now of type real instead of int;
  5292 
  5293 * theory loader actions may be traced via new ThyInfo.add_hook
  5294 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  5295 your own database of information attached to *whole* theories -- as
  5296 opposed to intra-theory data slots offered via TheoryDataFun;
  5297 
  5298 * proper handling of dangling sort hypotheses (at last!);
  5299 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  5300 extra sort hypotheses that can be witnessed from the type signature;
  5301 the force_strip_shyps flag is gone, any remaining shyps are simply
  5302 left in the theorem (with a warning issued by strip_shyps_warning);
  5303 
  5304 
  5305 
  5306 New in Isabelle98-1 (October 1998)
  5307 ----------------------------------
  5308 
  5309 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  5310 
  5311 * several changes of automated proof tools;
  5312 
  5313 * HOL: major changes to the inductive and datatype packages, including
  5314 some minor incompatibilities of theory syntax;
  5315 
  5316 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  5317 called `inj_on';
  5318 
  5319 * HOL: removed duplicate thms in Arith:
  5320   less_imp_add_less  should be replaced by  trans_less_add1
  5321   le_imp_add_le      should be replaced by  trans_le_add1
  5322 
  5323 * HOL: unary minus is now overloaded (new type constraints may be
  5324 required);
  5325 
  5326 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  5327 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  5328 now taken as an integer constant.
  5329 
  5330 * Pure: ML function 'theory_of' renamed to 'theory';
  5331 
  5332 
  5333 *** Proof tools ***
  5334 
  5335 * Simplifier:
  5336   1. Asm_full_simp_tac is now more aggressive.
  5337      1. It will sometimes reorient premises if that increases their power to
  5338         simplify.
  5339      2. It does no longer proceed strictly from left to right but may also
  5340         rotate premises to achieve further simplification.
  5341      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  5342      old Asm_full_simp_tac in that it does not rotate premises.
  5343   2. The simplifier now knows a little bit about nat-arithmetic.
  5344 
  5345 * Classical reasoner: wrapper mechanism for the classical reasoner now
  5346 allows for selected deletion of wrappers, by introduction of names for
  5347 wrapper functionals.  This implies that addbefore, addSbefore,
  5348 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  5349 and that adding two tactics with the same name overwrites the first
  5350 one (emitting a warning).
  5351   type wrapper = (int -> tactic) -> (int -> tactic)
  5352   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  5353   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  5354   delWrapper, delSWrapper: claset *  string            -> claset
  5355   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  5356 
  5357 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  5358 semantics; addbefore now affects only the unsafe part of step_tac
  5359 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  5360 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  5361 by Force_tac;
  5362 
  5363 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  5364 compWrapper; added safe wrapper (and access functions for it);
  5365 
  5366 * HOL/split_all_tac is now much faster and fails if there is nothing
  5367 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  5368 and the names of the automatically generated variables have changed.
  5369 split_all_tac has moved within claset() from unsafe wrappers to safe
  5370 wrappers, which means that !!-bound variables are split much more
  5371 aggressively, and safe_tac and clarify_tac now split such variables.
  5372 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  5373 Note: the same holds for record_split_tac, which does the job of
  5374 split_all_tac for record fields.
  5375 
  5376 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  5377 permanently to the default simpset using Addsplits just like
  5378 Addsimps. They can be removed via Delsplits just like
  5379 Delsimps. Lower-case versions are also available.
  5380 
  5381 * HOL/Simplifier: The rule split_if is now part of the default
  5382 simpset. This means that the simplifier will eliminate all occurrences
  5383 of if-then-else in the conclusion of a goal. To prevent this, you can
  5384 either remove split_if completely from the default simpset by
  5385 `Delsplits [split_if]' or remove it in a specific call of the
  5386 simplifier using `... delsplits [split_if]'.  You can also add/delete
  5387 other case splitting rules to/from the default simpset: every datatype
  5388 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  5389 t is the name of the datatype).
  5390 
  5391 * Classical reasoner / Simplifier combination: new force_tac (and
  5392 derivatives Force_tac, force) combines rewriting and classical
  5393 reasoning (and whatever other tools) similarly to auto_tac, but is
  5394 aimed to solve the given subgoal completely.
  5395 
  5396 
  5397 *** General ***
  5398 
  5399 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  5400 and `goalw': the theory is no longer needed as an explicit argument -
  5401 the current theory context is used; assumptions are no longer returned
  5402 at the ML-level unless one of them starts with ==> or !!; it is
  5403 recommended to convert to these new commands using isatool fixgoal
  5404 (backup your sources first!);
  5405 
  5406 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  5407 the current theory context, and 'theory' to lookup stored theories;
  5408 
  5409 * new theory section 'locale' for declaring constants, assumptions and
  5410 definitions that have local scope;
  5411 
  5412 * new theory section 'nonterminals' for purely syntactic types;
  5413 
  5414 * new theory section 'setup' for generic ML setup functions
  5415 (e.g. package initialization);
  5416 
  5417 * the distribution now includes Isabelle icons: see
  5418 lib/logo/isabelle-{small,tiny}.xpm;
  5419 
  5420 * isatool install - install binaries with absolute references to
  5421 ISABELLE_HOME/bin;
  5422 
  5423 * isatool logo -- create instances of the Isabelle logo (as EPS);
  5424 
  5425 * print mode 'emacs' reserved for Isamode;
  5426 
  5427 * support multiple print (ast) translations per constant name;
  5428 
  5429 * theorems involving oracles are now printed with a suffixed [!];
  5430 
  5431 
  5432 *** HOL ***
  5433 
  5434 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  5435 
  5436 * HOL/inductive package reorganized and improved: now supports mutual
  5437 definitions such as
  5438 
  5439   inductive EVEN ODD
  5440     intrs
  5441       null "0 : EVEN"
  5442       oddI "n : EVEN ==> Suc n : ODD"
  5443       evenI "n : ODD ==> Suc n : EVEN"
  5444 
  5445 new theorem list "elims" contains an elimination rule for each of the
  5446 recursive sets; inductive definitions now handle disjunctive premises
  5447 correctly (also ZF);
  5448 
  5449 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  5450 "mutual_induct" no longer exists - the induction rule is always
  5451 contained in "induct";
  5452 
  5453 
  5454 * HOL/datatype package re-implemented and greatly improved: now
  5455 supports mutually recursive datatypes such as
  5456 
  5457   datatype
  5458     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  5459             | SUM ('a aexp) ('a aexp)
  5460             | DIFF ('a aexp) ('a aexp)
  5461             | NUM 'a
  5462   and
  5463     'a bexp = LESS ('a aexp) ('a aexp)
  5464             | AND ('a bexp) ('a bexp)
  5465             | OR ('a bexp) ('a bexp)
  5466 
  5467 as well as indirectly recursive datatypes such as
  5468 
  5469   datatype
  5470     ('a, 'b) term = Var 'a
  5471                   | App 'b ((('a, 'b) term) list)
  5472 
  5473 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  5474 induction on mutually / indirectly recursive datatypes.
  5475 
  5476 Primrec equations are now stored in theory and can be accessed via
  5477 <function_name>.simps.
  5478 
  5479 INCOMPATIBILITIES:
  5480 
  5481   - Theories using datatypes must now have theory Datatype as an
  5482     ancestor.
  5483   - The specific <typename>.induct_tac no longer exists - use the
  5484     generic induct_tac instead.
  5485   - natE has been renamed to nat.exhaust - use exhaust_tac
  5486     instead of res_inst_tac ... natE. Note that the variable
  5487     names in nat.exhaust differ from the names in natE, this
  5488     may cause some "fragile" proofs to fail.
  5489   - The theorems split_<typename>_case and split_<typename>_case_asm
  5490     have been renamed to <typename>.split and <typename>.split_asm.
  5491   - Since default sorts of type variables are now handled correctly,
  5492     some datatype definitions may have to be annotated with explicit
  5493     sort constraints.
  5494   - Primrec definitions no longer require function name and type
  5495     of recursive argument.
  5496 
  5497 Consider using isatool fixdatatype to adapt your theories and proof
  5498 scripts to the new package (backup your sources first!).
  5499 
  5500 
  5501 * HOL/record package: considerably improved implementation; now
  5502 includes concrete syntax for record types, terms, updates; theorems
  5503 for surjective pairing and splitting !!-bound record variables; proof
  5504 support is as follows:
  5505 
  5506   1) standard conversions (selectors or updates applied to record
  5507 constructor terms) are part of the standard simpset;
  5508 
  5509   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  5510 made part of standard simpset and claset via addIffs;
  5511 
  5512   3) a tactic for record field splitting (record_split_tac) is part of
  5513 the standard claset (addSWrapper);
  5514 
  5515 To get a better idea about these rules you may retrieve them via
  5516 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  5517 the name of your record type.
  5518 
  5519 The split tactic 3) conceptually simplifies by the following rule:
  5520 
  5521   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  5522 
  5523 Thus any record variable that is bound by meta-all will automatically
  5524 blow up into some record constructor term, consequently the
  5525 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  5526 solve record problems automatically.
  5527 
  5528 
  5529 * reorganized the main HOL image: HOL/Integ and String loaded by
  5530 default; theory Main includes everything;
  5531 
  5532 * automatic simplification of integer sums and comparisons, using cancellation;
  5533 
  5534 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  5535 
  5536 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  5537 
  5538 * many new identities for unions, intersections, set difference, etc.;
  5539 
  5540 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  5541 called split_if, split_split, split_sum_case and split_nat_case (to go
  5542 with add/delsplits);
  5543 
  5544 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  5545 (?x::unit) = (); this is made part of the default simpset, which COULD
  5546 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  5547 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  5548 unit_abs_eta_conv is added in order to counter the effect of
  5549 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  5550 %u.f();
  5551 
  5552 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  5553 makes more sense);
  5554 
  5555 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  5556   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  5557   disjointness reasoning but breaking a few old proofs.
  5558 
  5559 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  5560 to 'converse' from 'inverse' (for compatibility with ZF and some
  5561 literature);
  5562 
  5563 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  5564 the well-founded relation;
  5565 
  5566 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  5567     Compl A.  The "Compl" syntax remains available as input syntax for this
  5568     release ONLY.
  5569 
  5570 * HOL/Update: new theory of function updates:
  5571     f(a:=b) == %x. if x=a then b else f x
  5572 may also be iterated as in f(a:=b,c:=d,...);
  5573 
  5574 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  5575 
  5576 * HOL/List:
  5577   - new function list_update written xs[i:=v] that updates the i-th
  5578     list position. May also be iterated as in xs[i:=a,j:=b,...].
  5579   - new function `upt' written [i..j(] which generates the list
  5580     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  5581     bound write [i..j], which is a shorthand for [i..j+1(].
  5582   - new lexicographic orderings and corresponding wellfoundedness theorems.
  5583 
  5584 * HOL/Arith:
  5585   - removed 'pred' (predecessor) function;
  5586   - generalized some theorems about n-1;
  5587   - many new laws about "div" and "mod";
  5588   - new laws about greatest common divisors (see theory ex/Primes);
  5589 
  5590 * HOL/Relation: renamed the relational operator r^-1 "converse"
  5591 instead of "inverse";
  5592 
  5593 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  5594   of the multiset ordering;
  5595 
  5596 * directory HOL/Real: a construction of the reals using Dedekind cuts
  5597   (not included by default);
  5598 
  5599 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  5600 
  5601 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  5602   programs, i.e. different program variables may have different types.
  5603 
  5604 * calling (stac rew i) now fails if "rew" has no effect on the goal
  5605   [previously, this check worked only if the rewrite rule was unconditional]
  5606   Now rew can involve either definitions or equalities (either == or =).
  5607 
  5608 
  5609 *** ZF ***
  5610 
  5611 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  5612   only the theorems proved on ZF.ML;
  5613 
  5614 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  5615   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  5616   disjointness reasoning but breaking a few old proofs.
  5617 
  5618 * ZF/Update: new theory of function updates
  5619     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  5620   may also be iterated as in f(a:=b,c:=d,...);
  5621 
  5622 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  5623 
  5624 * calling (stac rew i) now fails if "rew" has no effect on the goal
  5625   [previously, this check worked only if the rewrite rule was unconditional]
  5626   Now rew can involve either definitions or equalities (either == or =).
  5627 
  5628 * case_tac provided for compatibility with HOL
  5629     (like the old excluded_middle_tac, but with subgoals swapped)
  5630 
  5631 
  5632 *** Internal programming interfaces ***
  5633 
  5634 * Pure: several new basic modules made available for general use, see
  5635 also src/Pure/README;
  5636 
  5637 * improved the theory data mechanism to support encapsulation (data
  5638 kind name replaced by private Object.kind, acting as authorization
  5639 key); new type-safe user interface via functor TheoryDataFun; generic
  5640 print_data function becomes basically useless;
  5641 
  5642 * removed global_names compatibility flag -- all theory declarations
  5643 are qualified by default;
  5644 
  5645 * module Pure/Syntax now offers quote / antiquote translation
  5646 functions (useful for Hoare logic etc. with implicit dependencies);
  5647 see HOL/ex/Antiquote for an example use;
  5648 
  5649 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  5650 cterm -> thm;
  5651 
  5652 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  5653 subgoal;
  5654 
  5655 * Display.print_goals function moved to Locale.print_goals;
  5656 
  5657 * standard print function for goals supports current_goals_markers
  5658 variable for marking begin of proof, end of proof, start of goal; the
  5659 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  5660 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  5661 for example;
  5662 
  5663 
  5664 
  5665 New in Isabelle98 (January 1998)
  5666 --------------------------------
  5667 
  5668 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  5669 
  5670 * changed lexical syntax of terms / types: dots made part of long
  5671 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  5672 
  5673 * simpset (and claset) reference variable replaced by functions
  5674 simpset / simpset_ref;
  5675 
  5676 * no longer supports theory aliases (via merge) and non-trivial
  5677 implicit merge of thms' signatures;
  5678 
  5679 * most internal names of constants changed due to qualified names;
  5680 
  5681 * changed Pure/Sequence interface (see Pure/seq.ML);
  5682 
  5683 
  5684 *** General Changes ***
  5685 
  5686 * hierachically structured name spaces (for consts, types, axms, thms
  5687 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  5688 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  5689 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  5690 long_names for fully qualified output names; NOTE: ML programs
  5691 (special tactics, packages etc.) referring to internal names may have
  5692 to be adapted to cope with fully qualified names; in case of severe
  5693 backward campatibility problems try setting 'global_names' at compile
  5694 time to have enrything declared within a flat name space; one may also
  5695 fine tune name declarations in theories via the 'global' and 'local'
  5696 section;
  5697 
  5698 * reimplemented the implicit simpset and claset using the new anytype
  5699 data filed in signatures; references simpset:simpset ref etc. are
  5700 replaced by functions simpset:unit->simpset and
  5701 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  5702 to patch your ML files accordingly;
  5703 
  5704 * HTML output now includes theory graph data for display with Java
  5705 applet or isatool browser; data generated automatically via isatool
  5706 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  5707 
  5708 * defs may now be conditional; improved rewrite_goals_tac to handle
  5709 conditional equations;
  5710 
  5711 * defs now admits additional type arguments, using TYPE('a) syntax;
  5712 
  5713 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  5714 creates a new theory node; implicit merge of thms' signatures is
  5715 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  5716 transfer:theory->thm->thm in (rare) cases;
  5717 
  5718 * improved handling of draft signatures / theories; draft thms (and
  5719 ctyps, cterms) are automatically promoted to real ones;
  5720 
  5721 * slightly changed interfaces for oracles: admit many per theory, named
  5722 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  5723 
  5724 * print_goals: optional output of const types (set show_consts and
  5725 show_types);
  5726 
  5727 * improved output of warnings (###) and errors (***);
  5728 
  5729 * subgoal_tac displays a warning if the new subgoal has type variables;
  5730 
  5731 * removed old README and Makefiles;
  5732 
  5733 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  5734 
  5735 * removed obsolete init_pps and init_database;
  5736 
  5737 * deleted the obsolete tactical STATE, which was declared by
  5738     fun STATE tacfun st = tacfun st st;
  5739 
  5740 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  5741 (which abbreviates $HOME);
  5742 
  5743 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  5744 use isatool fixseq to adapt your ML programs (this works for fully
  5745 qualified references to the Sequence structure only!);
  5746 
  5747 * use_thy no longer requires writable current directory; it always
  5748 reloads .ML *and* .thy file, if either one is out of date;
  5749 
  5750 
  5751 *** Classical Reasoner ***
  5752 
  5753 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  5754 tactics that use classical reasoning to simplify a subgoal without
  5755 splitting it into several subgoals;
  5756 
  5757 * Safe_tac: like safe_tac but uses the default claset;
  5758 
  5759 
  5760 *** Simplifier ***
  5761 
  5762 * added simplification meta rules:
  5763     (asm_)(full_)simplify: simpset -> thm -> thm;
  5764 
  5765 * simplifier.ML no longer part of Pure -- has to be loaded by object
  5766 logics (again);
  5767 
  5768 * added prems argument to simplification procedures;
  5769 
  5770 * HOL, FOL, ZF: added infix function `addsplits':
  5771   instead of `<simpset> setloop (split_tac <thms>)'
  5772   you can simply write `<simpset> addsplits <thms>'
  5773 
  5774 
  5775 *** Syntax ***
  5776 
  5777 * TYPE('a) syntax for type reflection terms;
  5778 
  5779 * no longer handles consts with name "" -- declare as 'syntax' instead;
  5780 
  5781 * pretty printer: changed order of mixfix annotation preference (again!);
  5782 
  5783 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  5784 
  5785 
  5786 *** HOL ***
  5787 
  5788 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  5789   with `addloop' of the simplifier to faciliate case splitting in premises.
  5790 
  5791 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  5792 
  5793 * HOL/Auth: new protocol proofs including some for the Internet
  5794   protocol TLS;
  5795 
  5796 * HOL/Map: new theory of `maps' a la VDM;
  5797 
  5798 * HOL/simplifier: simplification procedures nat_cancel_sums for
  5799 cancelling out common nat summands from =, <, <= (in)equalities, or
  5800 differences; simplification procedures nat_cancel_factor for
  5801 cancelling common factor from =, <, <= (in)equalities over natural
  5802 sums; nat_cancel contains both kinds of procedures, it is installed by
  5803 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  5804 
  5805 * HOL/simplifier: terms of the form
  5806   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  5807   are rewritten to
  5808   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  5809   and those of the form
  5810   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  5811   are rewritten to
  5812   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  5813 
  5814 * HOL/datatype
  5815   Each datatype `t' now comes with a theorem `split_t_case' of the form
  5816 
  5817   P(t_case f1 ... fn x) =
  5818      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  5819         ...
  5820        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  5821      )
  5822 
  5823   and a theorem `split_t_case_asm' of the form
  5824 
  5825   P(t_case f1 ... fn x) =
  5826     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  5827         ...
  5828        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  5829      )
  5830   which can be added to a simpset via `addsplits'. The existing theorems
  5831   expand_list_case and expand_option_case have been renamed to
  5832   split_list_case and split_option_case.
  5833 
  5834 * HOL/Arithmetic:
  5835   - `pred n' is automatically converted to `n-1'.
  5836     Users are strongly encouraged not to use `pred' any longer,
  5837     because it will disappear altogether at some point.
  5838   - Users are strongly encouraged to write "0 < n" rather than
  5839     "n ~= 0". Theorems and proof tools have been modified towards this
  5840     `standard'.
  5841 
  5842 * HOL/Lists:
  5843   the function "set_of_list" has been renamed "set" (and its theorems too);
  5844   the function "nth" now takes its arguments in the reverse order and
  5845   has acquired the infix notation "!" as in "xs!n".
  5846 
  5847 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  5848 
  5849 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  5850   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  5851 
  5852 * HOL/record: extensible records with schematic structural subtyping
  5853 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  5854 still lacks various theorems and concrete record syntax;
  5855 
  5856 
  5857 *** HOLCF ***
  5858 
  5859 * removed "axioms" and "generated by" sections;
  5860 
  5861 * replaced "ops" section by extended "consts" section, which is capable of
  5862   handling the continuous function space "->" directly;
  5863 
  5864 * domain package:
  5865   . proves theorems immediately and stores them in the theory,
  5866   . creates hierachical name space,
  5867   . now uses normal mixfix annotations (instead of cinfix...),
  5868   . minor changes to some names and values (for consistency),
  5869   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  5870   . separator between mutual domain defs: changed "," to "and",
  5871   . improved handling of sort constraints;  now they have to
  5872     appear on the left-hand side of the equations only;
  5873 
  5874 * fixed LAM <x,y,zs>.b syntax;
  5875 
  5876 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  5877 adm (%x. P (t x)), where P is chainfinite and t continuous;
  5878 
  5879 
  5880 *** FOL and ZF ***
  5881 
  5882 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  5883   with `addloop' of the simplifier to faciliate case splitting in premises.
  5884 
  5885 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  5886 in HOL, they strip ALL and --> from proved theorems;
  5887 
  5888 
  5889 
  5890 New in Isabelle94-8 (May 1997)
  5891 ------------------------------
  5892 
  5893 *** General Changes ***
  5894 
  5895 * new utilities to build / run / maintain Isabelle etc. (in parts
  5896 still somewhat experimental); old Makefiles etc. still functional;
  5897 
  5898 * new 'Isabelle System Manual';
  5899 
  5900 * INSTALL text, together with ./configure and ./build scripts;
  5901 
  5902 * reimplemented type inference for greater efficiency, better error
  5903 messages and clean internal interface;
  5904 
  5905 * prlim command for dealing with lots of subgoals (an easier way of
  5906 setting goals_limit);
  5907 
  5908 
  5909 *** Syntax ***
  5910 
  5911 * supports alternative (named) syntax tables (parser and pretty
  5912 printer); internal interface is provided by add_modesyntax(_i);
  5913 
  5914 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  5915 be used in conjunction with the Isabelle symbol font; uses the
  5916 "symbols" syntax table;
  5917 
  5918 * added token_translation interface (may translate name tokens in
  5919 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  5920 the current print_mode); IMPORTANT: user print translation functions
  5921 are responsible for marking newly introduced bounds
  5922 (Syntax.mark_boundT);
  5923 
  5924 * token translations for modes "xterm" and "xterm_color" that display
  5925 names in bold, underline etc. or colors (which requires a color
  5926 version of xterm);
  5927 
  5928 * infixes may now be declared with names independent of their syntax;
  5929 
  5930 * added typed_print_translation (like print_translation, but may
  5931 access type of constant);
  5932 
  5933 
  5934 *** Classical Reasoner ***
  5935 
  5936 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  5937 some limitations.  Blast_tac...
  5938   + ignores addss, addbefore, addafter; this restriction is intrinsic
  5939   + ignores elimination rules that don't have the correct format
  5940         (the conclusion MUST be a formula variable)
  5941   + ignores types, which can make HOL proofs fail
  5942   + rules must not require higher-order unification, e.g. apply_type in ZF
  5943     [message "Function Var's argument not a bound variable" relates to this]
  5944   + its proof strategy is more general but can actually be slower
  5945 
  5946 * substitution with equality assumptions no longer permutes other
  5947 assumptions;
  5948 
  5949 * minor changes in semantics of addafter (now called addaltern); renamed
  5950 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  5951 (and access functions for it);
  5952 
  5953 * improved combination of classical reasoner and simplifier:
  5954   + functions for handling clasimpsets
  5955   + improvement of addss: now the simplifier is called _after_ the
  5956     safe steps.
  5957   + safe variant of addss called addSss: uses safe simplifications
  5958     _during_ the safe steps. It is more complete as it allows multiple
  5959     instantiations of unknowns (e.g. with slow_tac).
  5960 
  5961 *** Simplifier ***
  5962 
  5963 * added interface for simplification procedures (functions that
  5964 produce *proven* rewrite rules on the fly, depending on current
  5965 redex);
  5966 
  5967 * ordering on terms as parameter (used for ordered rewriting);
  5968 
  5969 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  5970 
  5971 * the solver is now split into a safe and an unsafe part.
  5972 This should be invisible for the normal user, except that the
  5973 functions setsolver and addsolver have been renamed to setSolver and
  5974 addSolver; added safe_asm_full_simp_tac;
  5975 
  5976 
  5977 *** HOL ***
  5978 
  5979 * a generic induction tactic `induct_tac' which works for all datatypes and
  5980 also for type `nat';
  5981 
  5982 * a generic case distinction tactic `exhaust_tac' which works for all
  5983 datatypes and also for type `nat';
  5984 
  5985 * each datatype comes with a function `size';
  5986 
  5987 * patterns in case expressions allow tuple patterns as arguments to
  5988 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  5989 
  5990 * primrec now also works with type nat;
  5991 
  5992 * recdef: a new declaration form, allows general recursive functions to be
  5993 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  5994 
  5995 * the constant for negation has been renamed from "not" to "Not" to
  5996 harmonize with FOL, ZF, LK, etc.;
  5997 
  5998 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  5999 infinite lists;
  6000 
  6001 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  6002 
  6003 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  6004 problems in commutative rings, using axiomatic type classes for + and *;
  6005 
  6006 * more examples in HOL/MiniML and HOL/Auth;
  6007 
  6008 * more default rewrite rules for quantifiers, union/intersection;
  6009 
  6010 * a new constant `arbitrary == @x.False';
  6011 
  6012 * HOLCF/IOA replaces old HOL/IOA;
  6013 
  6014 * HOLCF changes: derived all rules and arities
  6015   + axiomatic type classes instead of classes
  6016   + typedef instead of faking type definitions
  6017   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  6018   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  6019   + eliminated the types void, one, tr
  6020   + use unit lift and bool lift (with translations) instead of one and tr
  6021   + eliminated blift from Lift3.thy (use Def instead of blift)
  6022   all eliminated rules are derived as theorems --> no visible changes ;
  6023 
  6024 
  6025 *** ZF ***
  6026 
  6027 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  6028 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  6029 as ZF_cs addSIs [equalityI];
  6030 
  6031 
  6032 
  6033 New in Isabelle94-7 (November 96)
  6034 ---------------------------------
  6035 
  6036 * allowing negative levels (as offsets) in prlev and choplev;
  6037 
  6038 * super-linear speedup for large simplifications;
  6039 
  6040 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  6041 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  6042 FAIL); can suppress it using the command Delsimps (ex_simps @
  6043 all_simps); De Morgan laws are also now included, by default;
  6044 
  6045 * improved printing of ==>  :  ~:
  6046 
  6047 * new object-logic "Sequents" adds linear logic, while replacing LK
  6048 and Modal (thanks to Sara Kalvala);
  6049 
  6050 * HOL/Auth: correctness proofs for authentication protocols;
  6051 
  6052 * HOL: new auto_tac combines rewriting and classical reasoning (many
  6053 examples on HOL/Auth);
  6054 
  6055 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  6056 the rewriter and classical reasoner simultaneously;
  6057 
  6058 * function uresult no longer returns theorems in "standard" format;
  6059 regain previous version by: val uresult = standard o uresult;
  6060 
  6061 
  6062 
  6063 New in Isabelle94-6
  6064 -------------------
  6065 
  6066 * oracles -- these establish an interface between Isabelle and trusted
  6067 external reasoners, which may deliver results as theorems;
  6068 
  6069 * proof objects (in particular record all uses of oracles);
  6070 
  6071 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  6072 
  6073 * "constdefs" section in theory files;
  6074 
  6075 * "primrec" section (HOL) no longer requires names;
  6076 
  6077 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  6078 
  6079 
  6080 
  6081 New in Isabelle94-5
  6082 -------------------
  6083 
  6084 * reduced space requirements;
  6085 
  6086 * automatic HTML generation from theories;
  6087 
  6088 * theory files no longer require "..." (quotes) around most types;
  6089 
  6090 * new examples, including two proofs of the Church-Rosser theorem;
  6091 
  6092 * non-curried (1994) version of HOL is no longer distributed;
  6093 
  6094 
  6095 
  6096 New in Isabelle94-4
  6097 -------------------
  6098 
  6099 * greatly reduced space requirements;
  6100 
  6101 * theory files (.thy) no longer require \...\ escapes at line breaks;
  6102 
  6103 * searchable theorem database (see the section "Retrieving theorems" on
  6104 page 8 of the Reference Manual);
  6105 
  6106 * new examples, including Grabczewski's monumental case study of the
  6107 Axiom of Choice;
  6108 
  6109 * The previous version of HOL renamed to Old_HOL;
  6110 
  6111 * The new version of HOL (previously called CHOL) uses a curried syntax
  6112 for functions.  Application looks like f a b instead of f(a,b);
  6113 
  6114 * Mutually recursive inductive definitions finally work in HOL;
  6115 
  6116 * In ZF, pattern-matching on tuples is now available in all abstractions and
  6117 translates to the operator "split";
  6118 
  6119 
  6120 
  6121 New in Isabelle94-3
  6122 -------------------
  6123 
  6124 * new infix operator, addss, allowing the classical reasoner to
  6125 perform simplification at each step of its search.  Example:
  6126         fast_tac (cs addss ss)
  6127 
  6128 * a new logic, CHOL, the same as HOL, but with a curried syntax
  6129 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  6130 look like (a,b) instead of <a,b>;
  6131 
  6132 * PLEASE NOTE: CHOL will eventually replace HOL!
  6133 
  6134 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  6135 It translates to the operator "split".  A new theory of integers is available;
  6136 
  6137 * In ZF, integer numerals now denote two's-complement binary integers.
  6138 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  6139 
  6140 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  6141 of the Axiom of Choice;
  6142 
  6143 
  6144 
  6145 New in Isabelle94-2
  6146 -------------------
  6147 
  6148 * Significantly faster resolution;
  6149 
  6150 * the different sections in a .thy file can now be mixed and repeated
  6151 freely;
  6152 
  6153 * Database of theorems for FOL, HOL and ZF.  New
  6154 commands including qed, qed_goal and bind_thm store theorems in the database.
  6155 
  6156 * Simple database queries: return a named theorem (get_thm) or all theorems of
  6157 a given theory (thms_of), or find out what theory a theorem was proved in
  6158 (theory_of_thm);
  6159 
  6160 * Bugs fixed in the inductive definition and datatype packages;
  6161 
  6162 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  6163 and HOL_dup_cs obsolete;
  6164 
  6165 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  6166 have been removed;
  6167 
  6168 * Simpler definition of function space in ZF;
  6169 
  6170 * new results about cardinal and ordinal arithmetic in ZF;
  6171 
  6172 * 'subtype' facility in HOL for introducing new types as subsets of existing
  6173 types;
  6174 
  6175 :mode=text:wrap=hard:maxLineLen=72: