NEWS
author wenzelm
Tue, 27 Apr 2010 21:46:10 +0200
changeset 36443 9d6b3be996d4
parent 36416 9459be72b89e
child 36446 06081e4921d6
permissions -rw-r--r--
monotonic sort certification: sorts are no longer minimized at the kernel boundary, only when reading input from the end-user;
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in this Isabelle version
     5 ----------------------------
     6 
     7 *** General ***
     8 
     9 * Schematic theorem statements need to be explicitly markup as such,
    10 via commands 'schematic_lemma', 'schematic_theorem',
    11 'schematic_corollary'.  Thus the relevance of the proof is made
    12 syntactically clear, which impacts performance in a parallel or
    13 asynchronous interactive environment.  Minor INCOMPATIBILITY.
    14 
    15 * Authentic syntax for *all* logical entities (type classes, type
    16 constructors, term constants): provides simple and robust
    17 correspondence between formal entities and concrete syntax.  Within
    18 the parse tree / AST representations, "constants" are decorated by
    19 their category (class, type, const) and spelled out explicitly with
    20 their full internal name.
    21 
    22 Substantial INCOMPATIBILITY concerning low-level syntax declarations
    23 and translations (translation rules and translation functions in ML).
    24 Some hints on upgrading:
    25 
    26   - Many existing uses of 'syntax' and 'translations' can be replaced
    27     by more modern 'type_notation', 'notation' and 'abbreviation',
    28     which are independent of this issue.
    29 
    30   - 'translations' require markup within the AST; the term syntax
    31     provides the following special forms:
    32 
    33       CONST c   -- produces syntax version of constant c from context
    34       XCONST c  -- literally c, checked as constant from context
    35       c         -- literally c, if declared by 'syntax'
    36 
    37     Plain identifiers are treated as AST variables -- occasionally the
    38     system indicates accidental variables via the error "rhs contains
    39     extra variables".
    40 
    41     Type classes and type constructors are marked according to their
    42     concrete syntax.  Some old translations rules need to be written
    43     for the "type" category, using type constructor application
    44     instead of pseudo-term application of the default category
    45     "logic".
    46 
    47   - 'parse_translation' etc. in ML may use the following
    48     antiquotations:
    49 
    50       @{class_syntax c}   -- type class c within parse tree / AST
    51       @{term_syntax c}    -- type constructor c within parse tree / AST
    52       @{const_syntax c}   -- ML version of "CONST c" above
    53       @{syntax_const c}   -- literally c (checked wrt. 'syntax' declarations)
    54 
    55   - Literal types within 'typed_print_translations', i.e. those *not*
    56     represented as pseudo-terms are represented verbatim.  Use @{class
    57     c} or @{type_name c} here instead of the above syntax
    58     antiquotations.
    59 
    60 Note that old non-authentic syntax was based on unqualified base
    61 names, so all of the above "constant" names would coincide.  Recall
    62 that 'print_syntax' and ML_command "set Syntax.trace_ast" help to
    63 diagnose syntax problems.
    64 
    65 * Type constructors admit general mixfix syntax, not just infix.
    66 
    67 * Use of cumulative prems via "!" in some proof methods has been
    68 discontinued (legacy feature).
    69 
    70 * References 'trace_simp' and 'debug_simp' have been replaced by
    71 configuration options stored in the context. Enabling tracing
    72 (the case of debugging is similar) in proofs works via
    73 
    74   using [[trace_simp=true]]
    75 
    76 Tracing is then active for all invocations of the simplifier
    77 in subsequent goal refinement steps. Tracing may also still be
    78 enabled or disabled via the ProofGeneral settings menu.
    79 
    80 * Separate commands 'hide_class', 'hide_type', 'hide_const',
    81 'hide_fact' replace the former 'hide' KIND command.  Minor
    82 INCOMPATIBILITY.
    83 
    84 
    85 *** Pure ***
    86 
    87 * Code generator: simple concept for abstract datatypes obeying invariants.
    88 
    89 * Local theory specifications may depend on extra type variables that
    90 are not present in the result type -- arguments TYPE('a) :: 'a itself
    91 are added internally.  For example:
    92 
    93   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
    94 
    95 * Code generator: details of internal data cache have no impact on
    96 the user space functionality any longer.
    97 
    98 * Methods unfold_locales and intro_locales ignore non-locale subgoals.  This
    99 is more appropriate for interpretations with 'where'.  INCOMPATIBILITY.
   100 
   101 * Discontinued unnamed infix syntax (legacy feature for many years) --
   102 need to specify constant name and syntax separately.  Internal ML
   103 datatype constructors have been renamed from InfixName to Infix etc.
   104 Minor INCOMPATIBILITY.
   105 
   106 * Command 'example_proof' opens an empty proof body.  This allows to
   107 experiment with Isar, without producing any persistent result.
   108 
   109 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   110 within a local theory context, with explicit checking of the
   111 constructors involved (in contrast to the raw 'syntax' versions).
   112 
   113 * Commands 'types' and 'typedecl' now work within a local theory
   114 context -- without introducing dependencies on parameters or
   115 assumptions, which is not possible in Isabelle/Pure.
   116 
   117 * Proof terms: Type substitutions on proof constants now use canonical
   118 order of type variables. INCOMPATIBILITY: Tools working with proof
   119 terms may need to be adapted.
   120 
   121 
   122 *** HOL ***
   123 
   124 * Library theory 'RBT' renamed to 'RBT_Impl'; new library theory 'RBT'
   125 provides abstract red-black tree type which is backed by RBT_Impl
   126 as implementation.  INCOMPATIBILTY.
   127 
   128 * Command 'typedef' now works within a local theory context -- without
   129 introducing dependencies on parameters or assumptions, which is not
   130 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   131 contain multiple interpretations of local typedefs (with different
   132 non-emptiness proofs), even in a global theory context.
   133 
   134 * Theory Library/Coinductive_List has been removed -- superceded by
   135 AFP/thys/Coinductive.
   136 
   137 * Split off theory Big_Operators containing setsum, setprod, Inf_fin, Sup_fin,
   138 Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   139 
   140 * Theory "Rational" renamed to "Rat", for consistency with "Nat", "Int" etc.
   141 INCOMPATIBILITY.
   142 
   143 * New set of rules "ac_simps" provides combined assoc / commute rewrites
   144 for all interpretations of the appropriate generic locales.
   145 
   146 * Renamed theory "OrderedGroup" to "Groups" and split theory "Ring_and_Field"
   147 into theories "Rings" and "Fields";  for more appropriate and more
   148 consistent names suitable for name prefixes within the HOL theories.
   149 INCOMPATIBILITY.
   150 
   151 * Some generic constants have been put to appropriate theories:
   152   * less_eq, less: Orderings
   153   * zero, one, plus, minus, uminus, times, abs, sgn: Groups
   154   * inverse, divide: Rings
   155 INCOMPATIBILITY.
   156 
   157 * More consistent naming of type classes involving orderings (and lattices):
   158 
   159     lower_semilattice                   ~> semilattice_inf
   160     upper_semilattice                   ~> semilattice_sup
   161 
   162     dense_linear_order                  ~> dense_linorder
   163 
   164     pordered_ab_group_add               ~> ordered_ab_group_add
   165     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   166     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   167     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   168     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   169     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   170     pordered_cancel_semiring            ~> ordered_cancel_semiring
   171     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   172     pordered_comm_ring                  ~> ordered_comm_ring
   173     pordered_comm_semiring              ~> ordered_comm_semiring
   174     pordered_ring                       ~> ordered_ring
   175     pordered_ring_abs                   ~> ordered_ring_abs
   176     pordered_semiring                   ~> ordered_semiring
   177 
   178     ordered_ab_group_add                ~> linordered_ab_group_add
   179     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   180     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   181     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   182     ordered_field                       ~> linordered_field
   183     ordered_field_no_lb                 ~> linordered_field_no_lb
   184     ordered_field_no_ub                 ~> linordered_field_no_ub
   185     ordered_field_dense_linear_order    ~> dense_linordered_field
   186     ordered_idom                        ~> linordered_idom
   187     ordered_ring                        ~> linordered_ring
   188     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   189     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   190     ordered_ring_strict                 ~> linordered_ring_strict
   191     ordered_semidom                     ~> linordered_semidom
   192     ordered_semiring                    ~> linordered_semiring
   193     ordered_semiring_1                  ~> linordered_semiring_1
   194     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   195     ordered_semiring_strict             ~> linordered_semiring_strict
   196 
   197   The following slightly odd type classes have been moved to
   198   a separate theory Library/Lattice_Algebras.thy:
   199 
   200     lordered_ab_group_add               ~> lattice_ab_group_add
   201     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   202     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   203     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   204     lordered_ring                       ~> lattice_ring
   205 
   206 INCOMPATIBILITY.
   207 
   208 * Refined field classes:
   209   * classes division_ring_inverse_zero, field_inverse_zero, linordered_field_inverse_zero
   210     include rule inverse 0 = 0 -- subsumes former division_by_zero class.
   211   * numerous lemmas have been ported from field to division_ring;
   212   INCOMPATIBILITY.
   213 
   214 * Refined algebra theorem collections:
   215   * dropped theorem group group_simps, use algebra_simps instead;
   216   * dropped theorem group ring_simps, use field_simps instead;
   217   * proper theorem collection field_simps subsumes former theorem groups field_eq_simps and field_simps;
   218   * dropped lemma eq_minus_self_iff which is a duplicate for equal_neg_zero.
   219   INCOMPATIBILITY.
   220 
   221 * Theory Finite_Set and List: some lemmas have been generalized from
   222 sets to lattices:
   223 
   224   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
   225   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
   226   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
   227   union_Union_fold_union        ~> sup_Sup_fold_sup
   228   Inter_fold_inter              ~> Inf_fold_inf
   229   Union_fold_union              ~> Sup_fold_sup
   230   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
   231   union_UNION_fold_union        ~> sup_SUPR_fold_sup
   232   INTER_fold_inter              ~> INFI_fold_inf
   233   UNION_fold_union              ~> SUPR_fold_sup
   234 
   235 * Theory Complete_Lattice: lemmas top_def and bot_def have been
   236 replaced by the more convenient lemmas Inf_empty and Sup_empty.
   237 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
   238 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
   239 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
   240 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
   241 
   242 * HOLogic.strip_psplit: types are returned in syntactic order, similar
   243 to other strip and tuple operations.  INCOMPATIBILITY.
   244 
   245 * Reorganized theory Multiset: swapped notation of pointwise and multiset order:
   246   * pointwise ordering is instance of class order with standard syntax <= and <;
   247   * multiset ordering has syntax <=# and <#; partial order properties are provided
   248       by means of interpretation with prefix multiset_order;
   249   * less duplication, less historical organization of sections,
   250       conversion from associations lists to multisets, rudimentary code generation;
   251   * use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union, if needed.
   252   INCOMPATIBILITY.
   253 
   254 * Code generation: ML and OCaml code is decorated with signatures.
   255 
   256 * Theory List: added transpose.
   257 
   258 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   259 clash with new theory Quotient in Main HOL.
   260 
   261 * Library/Nat_Bijection.thy is a collection of bijective functions
   262 between nat and other types, which supersedes the older libraries
   263 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
   264 
   265   Constants:
   266   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
   267   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
   268   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
   269   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
   270   Countable.pair_encode           ~> prod_encode
   271   NatIso.prod2nat                 ~> prod_encode
   272   NatIso.nat2prod                 ~> prod_decode
   273   NatIso.sum2nat                  ~> sum_encode
   274   NatIso.nat2sum                  ~> sum_decode
   275   NatIso.list2nat                 ~> list_encode
   276   NatIso.nat2list                 ~> list_decode
   277   NatIso.set2nat                  ~> set_encode
   278   NatIso.nat2set                  ~> set_decode
   279 
   280   Lemmas:
   281   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
   282   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
   283   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
   284   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
   285   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
   286   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
   287   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
   288   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
   289   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
   290   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
   291   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
   292   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
   293   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
   294 
   295 
   296 *** ML ***
   297 
   298 * Sorts.certify_sort and derived "cert" operations for types and terms
   299 no longer minimize sorts.  Thus certification at the boundary of the
   300 inference kernel becomes invariant under addition of class relations,
   301 which is an important monotonicity principle.  Sorts are now minimized
   302 in the syntax layer only, at the boundary between the end-user and the
   303 system.  Subtle INCOMPATIBILITY, may have to use Sign.minimize_sort
   304 explicitly in rare situations.
   305 
   306 * Antiquotations for basic formal entities:
   307 
   308     @{class NAME}         -- type class
   309     @{class_syntax NAME}  -- syntax representation of the above
   310 
   311     @{type_name NAME}     -- logical type
   312     @{type_abbrev NAME}   -- type abbreviation
   313     @{nonterminal NAME}   -- type of concrete syntactic category
   314     @{type_syntax NAME}   -- syntax representation of any of the above
   315 
   316     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
   317     @{const_abbrev NAME}  -- abbreviated constant
   318     @{const_syntax NAME}  -- syntax representation of any of the above
   319 
   320 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
   321 syntax constant (cf. 'syntax' command).
   322 
   323 * Antiquotation @{make_string} inlines a function to print arbitrary
   324 values similar to the ML toplevel.  The result is compiler dependent
   325 and may fall back on "?" in certain situations.
   326 
   327 * Renamed old-style Drule.standard to Drule.export_without_context, to
   328 emphasize that this is in no way a standard operation.
   329 INCOMPATIBILITY.
   330 
   331 * Curried take and drop in library.ML; negative length is interpreted
   332 as infinity (as in chop).  INCOMPATIBILITY.
   333 
   334 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
   335 usual for resolution.  Rare INCOMPATIBILITY.
   336 
   337 * Discontinued old TheoryDataFun with its copy/init operation -- data
   338 needs to be pure.  Functor Theory_Data_PP retains the traditional
   339 Pretty.pp argument to merge, which is absent in the standard
   340 Theory_Data version.
   341 
   342 * Renamed varify/unvarify operations to varify_global/unvarify_global
   343 to emphasize that these only work in a global situation (which is
   344 quite rare).
   345 
   346 * Configuration options now admit dynamic default values, depending on
   347 the context or even global references.
   348 
   349 
   350 *** System ***
   351 
   352 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
   353 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
   354 proof terms are enabled unconditionally in the new HOL-Proofs image.
   355 
   356 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
   357 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
   358 respectively.
   359 
   360 * Old lib/scripts/polyml-platform is superseded by the
   361 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
   362 variant, even on a 64 bit machine.  The following example setting
   363 prefers 64 bit if available:
   364 
   365   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
   366 
   367 
   368 
   369 New in Isabelle2009-1 (December 2009)
   370 -------------------------------------
   371 
   372 *** General ***
   373 
   374 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
   375 one backslash should be used, even in ML sources.
   376 
   377 
   378 *** Pure ***
   379 
   380 * Locale interpretation propagates mixins along the locale hierarchy.
   381 The currently only available mixins are the equations used to map
   382 local definitions to terms of the target domain of an interpretation.
   383 
   384 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
   385 loc" to print all interpretations of locale "loc" in the theory.
   386 Interpretations in proofs are not shown.
   387 
   388 * Thoroughly revised locales tutorial.  New section on conditional
   389 interpretation.
   390 
   391 * On instantiation of classes, remaining undefined class parameters
   392 are formally declared.  INCOMPATIBILITY.
   393 
   394 
   395 *** Document preparation ***
   396 
   397 * New generalized style concept for printing terms: @{foo (style) ...}
   398 instead of @{foo_style style ...}  (old form is still retained for
   399 backward compatibility).  Styles can be also applied for
   400 antiquotations prop, term_type and typeof.
   401 
   402 
   403 *** HOL ***
   404 
   405 * New proof method "smt" for a combination of first-order logic with
   406 equality, linear and nonlinear (natural/integer/real) arithmetic, and
   407 fixed-size bitvectors; there is also basic support for higher-order
   408 features (esp. lambda abstractions).  It is an incomplete decision
   409 procedure based on external SMT solvers using the oracle mechanism;
   410 for the SMT solver Z3, this method is proof-producing.  Certificates
   411 are provided to avoid calling the external solvers solely for
   412 re-checking proofs.  Due to a remote SMT service there is no need for
   413 installing SMT solvers locally.  See src/HOL/SMT.
   414 
   415 * New commands to load and prove verification conditions generated by
   416 the Boogie program verifier or derived systems (e.g. the Verifying C
   417 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
   418 
   419 * New counterexample generator tool 'nitpick' based on the Kodkod
   420 relational model finder.  See src/HOL/Tools/Nitpick and
   421 src/HOL/Nitpick_Examples.
   422 
   423 * New commands 'code_pred' and 'values' to invoke the predicate
   424 compiler and to enumerate values of inductive predicates.
   425 
   426 * A tabled implementation of the reflexive transitive closure.
   427 
   428 * New implementation of quickcheck uses generic code generator;
   429 default generators are provided for all suitable HOL types, records
   430 and datatypes.  Old quickcheck can be re-activated importing theory
   431 Library/SML_Quickcheck.
   432 
   433 * New testing tool Mirabelle for automated proof tools.  Applies
   434 several tools and tactics like sledgehammer, metis, or quickcheck, to
   435 every proof step in a theory.  To be used in batch mode via the
   436 "mirabelle" utility.
   437 
   438 * New proof method "sos" (sum of squares) for nonlinear real
   439 arithmetic (originally due to John Harison). It requires theory
   440 Library/Sum_Of_Squares.  It is not a complete decision procedure but
   441 works well in practice on quantifier-free real arithmetic with +, -,
   442 *, ^, =, <= and <, i.e. boolean combinations of equalities and
   443 inequalities between polynomials.  It makes use of external
   444 semidefinite programming solvers.  Method "sos" generates a
   445 certificate that can be pasted into the proof thus avoiding the need
   446 to call an external tool every time the proof is checked.  See
   447 src/HOL/Library/Sum_Of_Squares.
   448 
   449 * New method "linarith" invokes existing linear arithmetic decision
   450 procedure only.
   451 
   452 * New command 'atp_minimal' reduces result produced by Sledgehammer.
   453 
   454 * New Sledgehammer option "Full Types" in Proof General settings menu.
   455 Causes full type information to be output to the ATPs.  This slows
   456 ATPs down considerably but eliminates a source of unsound "proofs"
   457 that fail later.
   458 
   459 * New method "metisFT": A version of metis that uses full type
   460 information in order to avoid failures of proof reconstruction.
   461 
   462 * New evaluator "approximate" approximates an real valued term using
   463 the same method as the approximation method.
   464 
   465 * Method "approximate" now supports arithmetic expressions as
   466 boundaries of intervals and implements interval splitting and Taylor
   467 series expansion.
   468 
   469 * ML antiquotation @{code_datatype} inserts definition of a datatype
   470 generated by the code generator; e.g. see src/HOL/Predicate.thy.
   471 
   472 * New theory SupInf of the supremum and infimum operators for sets of
   473 reals.
   474 
   475 * New theory Probability, which contains a development of measure
   476 theory, eventually leading to Lebesgue integration and probability.
   477 
   478 * Extended Multivariate Analysis to include derivation and Brouwer's
   479 fixpoint theorem.
   480 
   481 * Reorganization of number theory, INCOMPATIBILITY:
   482   - new number theory development for nat and int, in theories Divides
   483     and GCD as well as in new session Number_Theory
   484   - some constants and facts now suffixed with _nat and _int
   485     accordingly
   486   - former session NumberTheory now named Old_Number_Theory, including
   487     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
   488   - moved theory Pocklington from src/HOL/Library to
   489     src/HOL/Old_Number_Theory
   490 
   491 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
   492 lcm of finite and infinite sets. It is shown that they form a complete
   493 lattice.
   494 
   495 * Class semiring_div requires superclass no_zero_divisors and proof of
   496 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
   497 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
   498 generalized to class semiring_div, subsuming former theorems
   499 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
   500 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
   501 INCOMPATIBILITY.
   502 
   503 * Refinements to lattice classes and sets:
   504   - less default intro/elim rules in locale variant, more default
   505     intro/elim rules in class variant: more uniformity
   506   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
   507     le_inf_iff
   508   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
   509     sup_aci)
   510   - renamed ACI to inf_sup_aci
   511   - new class "boolean_algebra"
   512   - class "complete_lattice" moved to separate theory
   513     "Complete_Lattice"; corresponding constants (and abbreviations)
   514     renamed and with authentic syntax:
   515     Set.Inf ~>    Complete_Lattice.Inf
   516     Set.Sup ~>    Complete_Lattice.Sup
   517     Set.INFI ~>   Complete_Lattice.INFI
   518     Set.SUPR ~>   Complete_Lattice.SUPR
   519     Set.Inter ~>  Complete_Lattice.Inter
   520     Set.Union ~>  Complete_Lattice.Union
   521     Set.INTER ~>  Complete_Lattice.INTER
   522     Set.UNION ~>  Complete_Lattice.UNION
   523   - authentic syntax for
   524     Set.Pow
   525     Set.image
   526   - mere abbreviations:
   527     Set.empty               (for bot)
   528     Set.UNIV                (for top)
   529     Set.inter               (for inf, formerly Set.Int)
   530     Set.union               (for sup, formerly Set.Un)
   531     Complete_Lattice.Inter  (for Inf)
   532     Complete_Lattice.Union  (for Sup)
   533     Complete_Lattice.INTER  (for INFI)
   534     Complete_Lattice.UNION  (for SUPR)
   535   - object-logic definitions as far as appropriate
   536 
   537 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
   538 Un_subset_iff are explicitly deleted as default simp rules; then also
   539 their lattice counterparts le_inf_iff and le_sup_iff have to be
   540 deleted to achieve the desired effect.
   541 
   542 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
   543 rules by default any longer; the same applies to min_max.inf_absorb1
   544 etc.  INCOMPATIBILITY.
   545 
   546 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
   547 pred_set_conv by default.  INCOMPATIBILITY.
   548 
   549 * Power operations on relations and functions are now one dedicated
   550 constant "compow" with infix syntax "^^".  Power operation on
   551 multiplicative monoids retains syntax "^" and is now defined generic
   552 in class power.  INCOMPATIBILITY.
   553 
   554 * Relation composition "R O S" now has a more standard argument order:
   555 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
   556 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
   557 break, since the O_assoc rule was not rewritten like this.  Fix using
   558 O_assoc[symmetric].  The same applies to the curried version "R OO S".
   559 
   560 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
   561 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
   562 INCOMPATIBILITY.
   563 
   564 * Most rules produced by inductive and datatype package have mandatory
   565 prefixes.  INCOMPATIBILITY.
   566 
   567 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
   568 the attribute of the same name.  Each of the theorems in the list
   569 DERIV_intros assumes composition with an additional function and
   570 matches a variable to the derivative, which has to be solved by the
   571 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
   572 of most elementary terms.  Former Maclauren.DERIV_tac and
   573 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
   574 INCOMPATIBILITY.
   575 
   576 * Code generator attributes follow the usual underscore convention:
   577     code_unfold     replaces    code unfold
   578     code_post       replaces    code post
   579     etc.
   580   INCOMPATIBILITY.
   581 
   582 * Renamed methods:
   583     sizechange -> size_change
   584     induct_scheme -> induction_schema
   585   INCOMPATIBILITY.
   586 
   587 * Discontinued abbreviation "arbitrary" of constant "undefined".
   588 INCOMPATIBILITY, use "undefined" directly.
   589 
   590 * Renamed theorems:
   591     Suc_eq_add_numeral_1 -> Suc_eq_plus1
   592     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
   593     Suc_plus1 -> Suc_eq_plus1
   594     *anti_sym -> *antisym*
   595     vector_less_eq_def -> vector_le_def
   596   INCOMPATIBILITY.
   597 
   598 * Added theorem List.map_map as [simp].  Removed List.map_compose.
   599 INCOMPATIBILITY.
   600 
   601 * Removed predicate "M hassize n" (<--> card M = n & finite M).
   602 INCOMPATIBILITY.
   603 
   604 
   605 *** HOLCF ***
   606 
   607 * Theory Representable defines a class "rep" of domains that are
   608 representable (via an ep-pair) in the universal domain type "udom".
   609 Instances are provided for all type constructors defined in HOLCF.
   610 
   611 * The 'new_domain' command is a purely definitional version of the
   612 domain package, for representable domains.  Syntax is identical to the
   613 old domain package.  The 'new_domain' package also supports indirect
   614 recursion using previously-defined type constructors.  See
   615 src/HOLCF/ex/New_Domain.thy for examples.
   616 
   617 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
   618 on the left-hand side of an equation, and then performs
   619 simplification.  Rewriting is done using rules declared with the
   620 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
   621 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
   622 
   623 * The pattern-match compiler in 'fixrec' can now handle constructors
   624 with HOL function types.  Pattern-match combinators for the Pair
   625 constructor are pre-configured.
   626 
   627 * The 'fixrec' package now produces better fixed-point induction rules
   628 for mutually-recursive definitions:  Induction rules have conclusions
   629 of the form "P foo bar" instead of "P <foo, bar>".
   630 
   631 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
   632 been renamed to "below".  The name "below" now replaces "less" in many
   633 theorem names.  (Legacy theorem names using "less" are still supported
   634 as well.)
   635 
   636 * The 'fixrec' package now supports "bottom patterns".  Bottom
   637 patterns can be used to generate strictness rules, or to make
   638 functions more strict (much like the bang-patterns supported by the
   639 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
   640 examples.
   641 
   642 
   643 *** ML ***
   644 
   645 * Support for Poly/ML 5.3.0, with improved reporting of compiler
   646 errors and run-time exceptions, including detailed source positions.
   647 
   648 * Structure Name_Space (formerly NameSpace) now manages uniquely
   649 identified entries, with some additional information such as source
   650 position, logical grouping etc.
   651 
   652 * Theory and context data is now introduced by the simplified and
   653 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
   654 to be pure, but the old TheoryDataFun for mutable data (with explicit
   655 copy operation) is still available for some time.
   656 
   657 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
   658 provides a high-level programming interface to synchronized state
   659 variables with atomic update.  This works via pure function
   660 application within a critical section -- its runtime should be as
   661 short as possible; beware of deadlocks if critical code is nested,
   662 either directly or indirectly via other synchronized variables!
   663 
   664 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
   665 wraps raw ML references, explicitly indicating their non-thread-safe
   666 behaviour.  The Isar toplevel keeps this structure open, to
   667 accommodate Proof General as well as quick and dirty interactive
   668 experiments with references.
   669 
   670 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
   671 parallel tactical reasoning.
   672 
   673 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
   674 are similar to SUBPROOF, but are slightly more flexible: only the
   675 specified parts of the subgoal are imported into the context, and the
   676 body tactic may introduce new subgoals and schematic variables.
   677 
   678 * Old tactical METAHYPS, which does not observe the proof context, has
   679 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
   680 or Subgoal.FOCUS etc.
   681 
   682 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
   683 functors have their own ML name space there is no point to mark them
   684 separately.)  Minor INCOMPATIBILITY.
   685 
   686 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
   687 
   688 * Renamed several structures FooBar to Foo_Bar.  Occasional,
   689 INCOMPATIBILITY.
   690 
   691 * Operations of structure Skip_Proof no longer require quick_and_dirty
   692 mode, which avoids critical setmp.
   693 
   694 * Eliminated old Attrib.add_attributes, Method.add_methods and related
   695 combinators for "args".  INCOMPATIBILITY, need to use simplified
   696 Attrib/Method.setup introduced in Isabelle2009.
   697 
   698 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
   699 back on global_simpset_of, global_claset_of, global_clasimpset_of as
   700 last resort.  INCOMPATIBILITY.
   701 
   702 * Display.pretty_thm now requires a proper context (cf. former
   703 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
   704 or even Display.pretty_thm_without_context as last resort.
   705 INCOMPATIBILITY.
   706 
   707 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
   708 Syntax.pretty_typ/term directly, preferably with proper context
   709 instead of global theory.
   710 
   711 
   712 *** System ***
   713 
   714 * Further fine tuning of parallel proof checking, scales up to 8 cores
   715 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
   716 usedir option -q.
   717 
   718 * Support for additional "Isabelle components" via etc/components, see
   719 also the system manual.
   720 
   721 * The isabelle makeall tool now operates on all components with
   722 IsaMakefile, not just hardwired "logics".
   723 
   724 * Removed "compress" option from isabelle-process and isabelle usedir;
   725 this is always enabled.
   726 
   727 * Discontinued support for Poly/ML 4.x versions.
   728 
   729 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
   730 on a given logic image.  This requires the lighttpd webserver and is
   731 currently supported on Linux only.
   732 
   733 
   734 
   735 New in Isabelle2009 (April 2009)
   736 --------------------------------
   737 
   738 *** General ***
   739 
   740 * Simplified main Isabelle executables, with less surprises on
   741 case-insensitive file-systems (such as Mac OS).
   742 
   743   - The main Isabelle tool wrapper is now called "isabelle" instead of
   744     "isatool."
   745 
   746   - The former "isabelle" alias for "isabelle-process" has been
   747     removed (should rarely occur to regular users).
   748 
   749   - The former "isabelle-interface" and its alias "Isabelle" have been
   750     removed (interfaces are now regular Isabelle tools).
   751 
   752 Within scripts and make files, the Isabelle environment variables
   753 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
   754 respectively.  (The latter are still available as legacy feature.)
   755 
   756 The old isabelle-interface wrapper could react in confusing ways if
   757 the interface was uninstalled or changed otherwise.  Individual
   758 interface tool configuration is now more explicit, see also the
   759 Isabelle system manual.  In particular, Proof General is now available
   760 via "isabelle emacs".
   761 
   762 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
   763 purge installed copies of Isabelle executables and re-run "isabelle
   764 install -p ...", or use symlinks.
   765 
   766 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
   767 old ~/isabelle, which was slightly non-standard and apt to cause
   768 surprises on case-insensitive file-systems (such as Mac OS).
   769 
   770 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
   771 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
   772 care is required when using older releases of Isabelle.  Note that
   773 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
   774 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
   775 
   776 * Proofs of fully specified statements are run in parallel on
   777 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
   778 a regular 4-core machine, if the initial heap space is made reasonably
   779 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
   780 
   781 * The main reference manuals ("isar-ref", "implementation", and
   782 "system") have been updated and extended.  Formally checked references
   783 as hyperlinks are now available uniformly.
   784 
   785 
   786 *** Pure ***
   787 
   788 * Complete re-implementation of locales.  INCOMPATIBILITY in several
   789 respects.  The most important changes are listed below.  See the
   790 Tutorial on Locales ("locales" manual) for details.
   791 
   792 - In locale expressions, instantiation replaces renaming.  Parameters
   793 must be declared in a for clause.  To aid compatibility with previous
   794 parameter inheritance, in locale declarations, parameters that are not
   795 'touched' (instantiation position "_" or omitted) are implicitly added
   796 with their syntax at the beginning of the for clause.
   797 
   798 - Syntax from abbreviations and definitions in locales is available in
   799 locale expressions and context elements.  The latter is particularly
   800 useful in locale declarations.
   801 
   802 - More flexible mechanisms to qualify names generated by locale
   803 expressions.  Qualifiers (prefixes) may be specified in locale
   804 expressions, and can be marked as mandatory (syntax: "name!:") or
   805 optional (syntax "name?:").  The default depends for plain "name:"
   806 depends on the situation where a locale expression is used: in
   807 commands 'locale' and 'sublocale' prefixes are optional, in
   808 'interpretation' and 'interpret' prefixes are mandatory.  The old
   809 implicit qualifiers derived from the parameter names of a locale are
   810 no longer generated.
   811 
   812 - Command "sublocale l < e" replaces "interpretation l < e".  The
   813 instantiation clause in "interpretation" and "interpret" (square
   814 brackets) is no longer available.  Use locale expressions.
   815 
   816 - When converting proof scripts, mandatory qualifiers in
   817 'interpretation' and 'interpret' should be retained by default, even
   818 if this is an INCOMPATIBILITY compared to former behavior.  In the
   819 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
   820 in locale expressions range over a single locale instance only.
   821 
   822 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
   823 In existing theorem specifications replace the includes element by the
   824 respective context elements of the included locale, omitting those
   825 that are already present in the theorem specification.  Multiple
   826 assume elements of a locale should be replaced by a single one
   827 involving the locale predicate.  In the proof body, declarations (most
   828 notably theorems) may be regained by interpreting the respective
   829 locales in the proof context as required (command "interpret").
   830 
   831 If using "includes" in replacement of a target solely because the
   832 parameter types in the theorem are not as general as in the target,
   833 consider declaring a new locale with additional type constraints on
   834 the parameters (context element "constrains").
   835 
   836 - Discontinued "locale (open)".  INCOMPATIBILITY.
   837 
   838 - Locale interpretation commands no longer attempt to simplify goal.
   839 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
   840 methods intro_locales and unfold_locales to clarify.
   841 
   842 - Locale interpretation commands no longer accept interpretation
   843 attributes.  INCOMPATIBILITY.
   844 
   845 * Class declaration: so-called "base sort" must not be given in import
   846 list any longer, but is inferred from the specification.  Particularly
   847 in HOL, write
   848 
   849     class foo = ...
   850 
   851 instead of
   852 
   853     class foo = type + ...
   854 
   855 * Class target: global versions of theorems stemming do not carry a
   856 parameter prefix any longer.  INCOMPATIBILITY.
   857 
   858 * Class 'instance' command no longer accepts attached definitions.
   859 INCOMPATIBILITY, use proper 'instantiation' target instead.
   860 
   861 * Recovered hiding of consts, which was accidentally broken in
   862 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
   863 makes c inaccessible; consider using ``hide (open) const c'' instead.
   864 
   865 * Slightly more coherent Pure syntax, with updated documentation in
   866 isar-ref manual.  Removed locales meta_term_syntax and
   867 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
   868 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
   869 directly in regular applications.
   870 
   871 * There is a new syntactic category "float_const" for signed decimal
   872 fractions (e.g. 123.45 or -123.45).
   873 
   874 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
   875 interface with 'setup' command instead.
   876 
   877 * Command 'local_setup' is similar to 'setup', but operates on a local
   878 theory context.
   879 
   880 * The 'axiomatization' command now only works within a global theory
   881 context.  INCOMPATIBILITY.
   882 
   883 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
   884 hypotheses.  Sorts required in the course of reasoning need to be
   885 covered by the constraints in the initial statement, completed by the
   886 type instance information of the background theory.  Non-trivial sort
   887 hypotheses, which rarely occur in practice, may be specified via
   888 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
   889 
   890   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
   891 
   892 The result contains an implicit sort hypotheses as before --
   893 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
   894 normalization.
   895 
   896 * Generalized Isar history, with support for linear undo, direct state
   897 addressing etc.
   898 
   899 * Changed defaults for unify configuration options:
   900 
   901   unify_trace_bound = 50 (formerly 25)
   902   unify_search_bound = 60 (formerly 30)
   903 
   904 * Different bookkeeping for code equations (INCOMPATIBILITY):
   905 
   906   a) On theory merge, the last set of code equations for a particular
   907      constant is taken (in accordance with the policy applied by other
   908      parts of the code generator framework).
   909 
   910   b) Code equations stemming from explicit declarations (e.g. code
   911      attribute) gain priority over default code equations stemming
   912      from definition, primrec, fun etc.
   913 
   914 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
   915 
   916 * Unified theorem tables for both code generators.  Thus [code
   917 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
   918 
   919 * Command 'find_consts' searches for constants based on type and name
   920 patterns, e.g.
   921 
   922     find_consts "_ => bool"
   923 
   924 By default, matching is against subtypes, but it may be restricted to
   925 the whole type.  Searching by name is possible.  Multiple queries are
   926 conjunctive and queries may be negated by prefixing them with a
   927 hyphen:
   928 
   929     find_consts strict: "_ => bool" name: "Int" -"int => int"
   930 
   931 * New 'find_theorems' criterion "solves" matches theorems that
   932 directly solve the current goal (modulo higher-order unification).
   933 
   934 * Auto solve feature for main theorem statements: whenever a new goal
   935 is stated, "find_theorems solves" is called; any theorems that could
   936 solve the lemma directly are listed as part of the goal state.
   937 Cf. associated options in Proof General Isabelle settings menu,
   938 enabled by default, with reasonable timeout for pathological cases of
   939 higher-order unification.
   940 
   941 
   942 *** Document preparation ***
   943 
   944 * Antiquotation @{lemma} now imitates a regular terminal proof,
   945 demanding keyword 'by' and supporting the full method expression
   946 syntax just like the Isar command 'by'.
   947 
   948 
   949 *** HOL ***
   950 
   951 * Integrated main parts of former image HOL-Complex with HOL.  Entry
   952 points Main and Complex_Main remain as before.
   953 
   954 * Logic image HOL-Plain provides a minimal HOL with the most important
   955 tools available (inductive, datatype, primrec, ...).  This facilitates
   956 experimentation and tool development.  Note that user applications
   957 (and library theories) should never refer to anything below theory
   958 Main, as before.
   959 
   960 * Logic image HOL-Main stops at theory Main, and thus facilitates
   961 experimentation due to shorter build times.
   962 
   963 * Logic image HOL-NSA contains theories of nonstandard analysis which
   964 were previously part of former HOL-Complex.  Entry point Hyperreal
   965 remains valid, but theories formerly using Complex_Main should now use
   966 new entry point Hypercomplex.
   967 
   968 * Generic ATP manager for Sledgehammer, based on ML threads instead of
   969 Posix processes.  Avoids potentially expensive forking of the ML
   970 process.  New thread-based implementation also works on non-Unix
   971 platforms (Cygwin).  Provers are no longer hardwired, but defined
   972 within the theory via plain ML wrapper functions.  Basic Sledgehammer
   973 commands are covered in the isar-ref manual.
   974 
   975 * Wrapper scripts for remote SystemOnTPTP service allows to use
   976 sledgehammer without local ATP installation (Vampire etc.). Other
   977 provers may be included via suitable ML wrappers, see also
   978 src/HOL/ATP_Linkup.thy.
   979 
   980 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
   981 menu.
   982 
   983 * The metis method no longer fails because the theorem is too trivial
   984 (contains the empty clause).
   985 
   986 * The metis method now fails in the usual manner, rather than raising
   987 an exception, if it determines that it cannot prove the theorem.
   988 
   989 * Method "coherent" implements a prover for coherent logic (see also
   990 src/Tools/coherent.ML).
   991 
   992 * Constants "undefined" and "default" replace "arbitrary".  Usually
   993 "undefined" is the right choice to replace "arbitrary", though
   994 logically there is no difference.  INCOMPATIBILITY.
   995 
   996 * Command "value" now integrates different evaluation mechanisms.  The
   997 result of the first successful evaluation mechanism is printed.  In
   998 square brackets a particular named evaluation mechanisms may be
   999 specified (currently, [SML], [code] or [nbe]).  See further
  1000 src/HOL/ex/Eval_Examples.thy.
  1001 
  1002 * Normalization by evaluation now allows non-leftlinear equations.
  1003 Declare with attribute [code nbe].
  1004 
  1005 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1006 as the structured Isar versions "cases" and "induct", cf. the
  1007 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1008 are now presented as a list of individual projections
  1009 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1010 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1011 rare situations a different rule is selected --- notably nested tuple
  1012 elimination instead of former prod.exhaust: use explicit (case_tac t
  1013 rule: prod.exhaust) here.
  1014 
  1015 * Attributes "cases", "induct", "coinduct" support "del" option.
  1016 
  1017 * Removed fact "case_split_thm", which duplicates "case_split".
  1018 
  1019 * The option datatype has been moved to a new theory Option.  Renamed
  1020 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1021 
  1022 * New predicate "strict_mono" classifies strict functions on partial
  1023 orders.  With strict functions on linear orders, reasoning about
  1024 (in)equalities is facilitated by theorems "strict_mono_eq",
  1025 "strict_mono_less_eq" and "strict_mono_less".
  1026 
  1027 * Some set operations are now proper qualified constants with
  1028 authentic syntax.  INCOMPATIBILITY:
  1029 
  1030     op Int ~>   Set.Int
  1031     op Un ~>    Set.Un
  1032     INTER ~>    Set.INTER
  1033     UNION ~>    Set.UNION
  1034     Inter ~>    Set.Inter
  1035     Union ~>    Set.Union
  1036     {} ~>       Set.empty
  1037     UNIV ~>     Set.UNIV
  1038 
  1039 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1040 theory Set.
  1041 
  1042 * Auxiliary class "itself" has disappeared -- classes without any
  1043 parameter are treated as expected by the 'class' command.
  1044 
  1045 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1046 
  1047 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  1048 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  1049 
  1050 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  1051 method "approximation".  It proves formulas on real values by using
  1052 interval arithmetic.  In the formulas are also the transcendental
  1053 functions sin, cos, tan, atan, ln, exp and the constant pi are
  1054 allowed. For examples see
  1055 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  1056 
  1057 * Theory "Reflection" now resides in HOL/Library.
  1058 
  1059 * Entry point to Word library now simply named "Word".
  1060 INCOMPATIBILITY.
  1061 
  1062 * Made source layout more coherent with logical distribution
  1063 structure:
  1064 
  1065     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  1066     src/HOL/Library/Code_Message.thy ~> src/HOL/
  1067     src/HOL/Library/GCD.thy ~> src/HOL/
  1068     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  1069     src/HOL/Library/Parity.thy ~> src/HOL/
  1070     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  1071     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  1072     src/HOL/Real/Lubs.thy ~> src/HOL/
  1073     src/HOL/Real/PReal.thy ~> src/HOL/
  1074     src/HOL/Real/Rational.thy ~> src/HOL/
  1075     src/HOL/Real/RComplete.thy ~> src/HOL/
  1076     src/HOL/Real/RealDef.thy ~> src/HOL/
  1077     src/HOL/Real/RealPow.thy ~> src/HOL/
  1078     src/HOL/Real/Real.thy ~> src/HOL/
  1079     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  1080     src/HOL/Complex/Complex.thy ~> src/HOL/
  1081     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  1082     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  1083     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  1084     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  1085     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  1086     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  1087     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  1088     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  1089     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  1090     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  1091     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  1092     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  1093     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  1094     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  1095     src/HOL/Real/Float ~> src/HOL/Library/
  1096     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  1097     src/HOL/Real/RealVector.thy ~> src/HOL/
  1098 
  1099     src/HOL/arith_data.ML ~> src/HOL/Tools
  1100     src/HOL/hologic.ML ~> src/HOL/Tools
  1101     src/HOL/simpdata.ML ~> src/HOL/Tools
  1102     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  1103     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  1104     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  1105     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  1106     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  1107     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  1108     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  1109 
  1110     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  1111     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  1112     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  1113     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  1114     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  1115     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  1116 
  1117 * If methods "eval" and "evaluation" encounter a structured proof
  1118 state with !!/==>, only the conclusion is evaluated to True (if
  1119 possible), avoiding strange error messages.
  1120 
  1121 * Method "sizechange" automates termination proofs using (a
  1122 modification of) the size-change principle.  Requires SAT solver.  See
  1123 src/HOL/ex/Termination.thy for examples.
  1124 
  1125 * Simplifier: simproc for let expressions now unfolds if bound
  1126 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  1127 
  1128 * Method "arith": Linear arithmetic now ignores all inequalities when
  1129 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  1130 
  1131 * New attribute "arith" for facts that should always be used
  1132 automatically by arithmetic. It is intended to be used locally in
  1133 proofs, e.g.
  1134 
  1135   assumes [arith]: "x > 0"
  1136 
  1137 Global usage is discouraged because of possible performance impact.
  1138 
  1139 * New classes "top" and "bot" with corresponding operations "top" and
  1140 "bot" in theory Orderings; instantiation of class "complete_lattice"
  1141 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  1142 
  1143 * Changed definition lemma "less_fun_def" in order to provide an
  1144 instance for preorders on functions; use lemma "less_le" instead.
  1145 INCOMPATIBILITY.
  1146 
  1147 * Theory Orderings: class "wellorder" moved here, with explicit
  1148 induction rule "less_induct" as assumption.  For instantiation of
  1149 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  1150 INCOMPATIBILITY.
  1151 
  1152 * Theory Orderings: added class "preorder" as superclass of "order".
  1153 INCOMPATIBILITY: Instantiation proofs for order, linorder
  1154 etc. slightly changed.  Some theorems named order_class.* now named
  1155 preorder_class.*.
  1156 
  1157 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  1158 "diag" to "Id_on".
  1159 
  1160 * Theory Finite_Set: added a new fold combinator of type
  1161 
  1162   ('a => 'b => 'b) => 'b => 'a set => 'b
  1163 
  1164 Occasionally this is more convenient than the old fold combinator
  1165 which is now defined in terms of the new one and renamed to
  1166 fold_image.
  1167 
  1168 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  1169 and "ring_simps" have been replaced by "algebra_simps" (which can be
  1170 extended with further lemmas!).  At the moment both still exist but
  1171 the former will disappear at some point.
  1172 
  1173 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  1174 class recpower.  Type-specific simp rules for various recpower types
  1175 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  1176 
  1177 rat_power_0    -> power_0
  1178 rat_power_Suc  -> power_Suc
  1179 realpow_0      -> power_0
  1180 realpow_Suc    -> power_Suc
  1181 complexpow_0   -> power_0
  1182 complexpow_Suc -> power_Suc
  1183 power_poly_0   -> power_0
  1184 power_poly_Suc -> power_Suc
  1185 
  1186 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  1187 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  1188 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  1189 of lemmas from Divides has been generalized from nat to class
  1190 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  1191 renames resulting from duplicate elimination:
  1192 
  1193     dvd_def_mod ~>          dvd_eq_mod_eq_0
  1194     zero_dvd_iff ~>         dvd_0_left_iff
  1195     dvd_0 ~>                dvd_0_right
  1196     DIVISION_BY_ZERO_DIV ~> div_by_0
  1197     DIVISION_BY_ZERO_MOD ~> mod_by_0
  1198     mult_div ~>             div_mult_self2_is_id
  1199     mult_mod ~>             mod_mult_self2_is_0
  1200 
  1201 * Theory IntDiv: removed many lemmas that are instances of class-based
  1202 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  1203 rename old lemmas as follows:
  1204 
  1205 dvd_diff               -> nat_dvd_diff
  1206 dvd_zminus_iff         -> dvd_minus_iff
  1207 mod_add1_eq            -> mod_add_eq
  1208 mod_mult1_eq           -> mod_mult_right_eq
  1209 mod_mult1_eq'          -> mod_mult_left_eq
  1210 mod_mult_distrib_mod   -> mod_mult_eq
  1211 nat_mod_add_left_eq    -> mod_add_left_eq
  1212 nat_mod_add_right_eq   -> mod_add_right_eq
  1213 nat_mod_div_trivial    -> mod_div_trivial
  1214 nat_mod_mod_trivial    -> mod_mod_trivial
  1215 zdiv_zadd_self1        -> div_add_self1
  1216 zdiv_zadd_self2        -> div_add_self2
  1217 zdiv_zmult_self1       -> div_mult_self2_is_id
  1218 zdiv_zmult_self2       -> div_mult_self1_is_id
  1219 zdvd_triv_left         -> dvd_triv_left
  1220 zdvd_triv_right        -> dvd_triv_right
  1221 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  1222 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  1223 zmod_zadd_left_eq      -> mod_add_left_eq
  1224 zmod_zadd_right_eq     -> mod_add_right_eq
  1225 zmod_zadd_self1        -> mod_add_self1
  1226 zmod_zadd_self2        -> mod_add_self2
  1227 zmod_zadd1_eq          -> mod_add_eq
  1228 zmod_zdiff1_eq         -> mod_diff_eq
  1229 zmod_zdvd_zmod         -> mod_mod_cancel
  1230 zmod_zmod_cancel       -> mod_mod_cancel
  1231 zmod_zmult_self1       -> mod_mult_self2_is_0
  1232 zmod_zmult_self2       -> mod_mult_self1_is_0
  1233 zmod_1                 -> mod_by_1
  1234 zdiv_1                 -> div_by_1
  1235 zdvd_abs1              -> abs_dvd_iff
  1236 zdvd_abs2              -> dvd_abs_iff
  1237 zdvd_refl              -> dvd_refl
  1238 zdvd_trans             -> dvd_trans
  1239 zdvd_zadd              -> dvd_add
  1240 zdvd_zdiff             -> dvd_diff
  1241 zdvd_zminus_iff        -> dvd_minus_iff
  1242 zdvd_zminus2_iff       -> minus_dvd_iff
  1243 zdvd_zmultD            -> dvd_mult_right
  1244 zdvd_zmultD2           -> dvd_mult_left
  1245 zdvd_zmult_mono        -> mult_dvd_mono
  1246 zdvd_0_right           -> dvd_0_right
  1247 zdvd_0_left            -> dvd_0_left_iff
  1248 zdvd_1_left            -> one_dvd
  1249 zminus_dvd_iff         -> minus_dvd_iff
  1250 
  1251 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  1252 
  1253 * The real numbers offer decimal input syntax: 12.34 is translated
  1254 into 1234/10^2. This translation is not reversed upon output.
  1255 
  1256 * Theory Library/Polynomial defines an abstract type 'a poly of
  1257 univariate polynomials with coefficients of type 'a.  In addition to
  1258 the standard ring operations, it also supports div and mod.  Code
  1259 generation is also supported, using list-style constructors.
  1260 
  1261 * Theory Library/Inner_Product defines a class of real_inner for real
  1262 inner product spaces, with an overloaded operation inner :: 'a => 'a
  1263 => real.  Class real_inner is a subclass of real_normed_vector from
  1264 theory RealVector.
  1265 
  1266 * Theory Library/Product_Vector provides instances for the product
  1267 type 'a * 'b of several classes from RealVector and Inner_Product.
  1268 Definitions of addition, subtraction, scalar multiplication, norms,
  1269 and inner products are included.
  1270 
  1271 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  1272 addition to the field operations, numerals and case syntax are also
  1273 supported.
  1274 
  1275 * Theory Library/Diagonalize provides constructive version of Cantor's
  1276 first diagonalization argument.
  1277 
  1278 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  1279 zlcm (for int); carried together from various gcd/lcm developements in
  1280 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  1281 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  1282 may recover tupled syntax as follows:
  1283 
  1284     hide (open) const gcd
  1285     abbreviation gcd where
  1286       "gcd == (%(a, b). GCD.gcd a b)"
  1287     notation (output)
  1288       GCD.gcd ("gcd '(_, _')")
  1289 
  1290 The same works for lcm, zgcd, zlcm.
  1291 
  1292 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  1293 instantiations for algebraic structures.  Removed some duplicate
  1294 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  1295 
  1296 * ML antiquotation @{code} takes a constant as argument and generates
  1297 corresponding code in background and inserts name of the corresponding
  1298 resulting ML value/function/datatype constructor binding in place.
  1299 All occurrences of @{code} with a single ML block are generated
  1300 simultaneously.  Provides a generic and safe interface for
  1301 instrumentalizing code generation.  See
  1302 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  1303 In future you ought to refrain from ad-hoc compiling generated SML
  1304 code on the ML toplevel.  Note that (for technical reasons) @{code}
  1305 cannot refer to constants for which user-defined serializations are
  1306 set.  Refer to the corresponding ML counterpart directly in that
  1307 cases.
  1308 
  1309 * Command 'rep_datatype': instead of theorem names the command now
  1310 takes a list of terms denoting the constructors of the type to be
  1311 represented as datatype.  The characteristic theorems have to be
  1312 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  1313 have disappeared in favour of existing ones:
  1314 
  1315     unit_induct                 ~> unit.induct
  1316     prod_induct                 ~> prod.induct
  1317     sum_induct                  ~> sum.induct
  1318     Suc_Suc_eq                  ~> nat.inject
  1319     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  1320 
  1321 
  1322 *** HOL-Algebra ***
  1323 
  1324 * New locales for orders and lattices where the equivalence relation
  1325 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  1326 locales use a record structure with field eq for the equivalence.
  1327 
  1328 * New theory of factorial domains.
  1329 
  1330 * Units_l_inv and Units_r_inv are now simp rules by default.
  1331 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  1332 and/or r_inv will now also require deletion of these lemmas.
  1333 
  1334 * Renamed the following theorems, INCOMPATIBILITY:
  1335 
  1336 UpperD ~> Upper_memD
  1337 LowerD ~> Lower_memD
  1338 least_carrier ~> least_closed
  1339 greatest_carrier ~> greatest_closed
  1340 greatest_Lower_above ~> greatest_Lower_below
  1341 one_zero ~> carrier_one_zero
  1342 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  1343 
  1344 
  1345 *** HOL-Nominal ***
  1346 
  1347 * Nominal datatypes can now contain type-variables.
  1348 
  1349 * Commands 'nominal_inductive' and 'equivariance' work with local
  1350 theory targets.
  1351 
  1352 * Nominal primrec can now works with local theory targets and its
  1353 specification syntax now conforms to the general format as seen in
  1354 'inductive' etc.
  1355 
  1356 * Method "perm_simp" honours the standard simplifier attributes
  1357 (no_asm), (no_asm_use) etc.
  1358 
  1359 * The new predicate #* is defined like freshness, except that on the
  1360 left hand side can be a set or list of atoms.
  1361 
  1362 * Experimental command 'nominal_inductive2' derives strong induction
  1363 principles for inductive definitions.  In contrast to
  1364 'nominal_inductive', which can only deal with a fixed number of
  1365 binders, it can deal with arbitrary expressions standing for sets of
  1366 atoms to be avoided.  The only inductive definition we have at the
  1367 moment that needs this generalisation is the typing rule for Lets in
  1368 the algorithm W:
  1369 
  1370  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  1371  -----------------------------------------------------------------
  1372          Gamma |- Let x be t1 in t2 : T2
  1373 
  1374 In this rule one wants to avoid all the binders that are introduced by
  1375 "close Gamma T1".  We are looking for other examples where this
  1376 feature might be useful.  Please let us know.
  1377 
  1378 
  1379 *** HOLCF ***
  1380 
  1381 * Reimplemented the simplification procedure for proving continuity
  1382 subgoals.  The new simproc is extensible; users can declare additional
  1383 continuity introduction rules with the attribute [cont2cont].
  1384 
  1385 * The continuity simproc now uses a different introduction rule for
  1386 solving continuity subgoals on terms with lambda abstractions.  In
  1387 some rare cases the new simproc may fail to solve subgoals that the
  1388 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  1389 Potential INCOMPATIBILITY.
  1390 
  1391 * Command 'fixrec': specification syntax now conforms to the general
  1392 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  1393 examples.  INCOMPATIBILITY.
  1394 
  1395 
  1396 *** ZF ***
  1397 
  1398 * Proof of Zorn's Lemma for partial orders.
  1399 
  1400 
  1401 *** ML ***
  1402 
  1403 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  1404 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  1405 depends on multithreading, so timouts will not work before Poly/ML
  1406 5.2.1!
  1407 
  1408 * High-level support for concurrent ML programming, see
  1409 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  1410 particularly convenient to organize independent functional
  1411 computations.  The concept of "synchronized variables" provides a
  1412 higher-order interface for components with shared state, avoiding the
  1413 delicate details of mutexes and condition variables.  (Requires
  1414 Poly/ML 5.2.1 or later.)
  1415 
  1416 * ML bindings produced via Isar commands are stored within the Isar
  1417 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  1418 become thread-safe and work with undo as expected (concerning
  1419 top-level bindings, not side-effects on global references).
  1420 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  1421 compiler at runtime; really global bindings need to be given outside a
  1422 theory.  (Requires Poly/ML 5.2 or later.)
  1423 
  1424 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  1425 context.  Top-level ML bindings are stored within the proof context in
  1426 a purely sequential fashion, disregarding the nested proof structure.
  1427 ML bindings introduced by 'ML_prf' are discarded at the end of the
  1428 proof.  (Requires Poly/ML 5.2 or later.)
  1429 
  1430 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  1431 and Method.setup, as well as Isar commands 'attribute_setup' and
  1432 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  1433 existing code accordingly, or use plain 'setup' together with old
  1434 Method.add_method.
  1435 
  1436 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  1437 to 'a -> thm, while results are always tagged with an authentic oracle
  1438 name.  The Isar command 'oracle' is now polymorphic, no argument type
  1439 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  1440 accordingly.  Note that extra performance may be gained by producing
  1441 the cterm carefully, avoiding slow Thm.cterm_of.
  1442 
  1443 * Simplified interface for defining document antiquotations via
  1444 ThyOutput.antiquotation, ThyOutput.output, and optionally
  1445 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  1446 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  1447 examples.
  1448 
  1449 * More systematic treatment of long names, abstract name bindings, and
  1450 name space operations.  Basic operations on qualified names have been
  1451 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  1452 Long_Name.append.  Old type bstring has been mostly replaced by
  1453 abstract type binding (see structure Binding), which supports precise
  1454 qualification by packages and local theory targets, as well as proper
  1455 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  1456 bstring values into Binding.name, or better pass through abstract
  1457 bindings everywhere.  See further src/Pure/General/long_name.ML,
  1458 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  1459 
  1460 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  1461 LocalTheory.note etc.) now refer to the *full* internal name, not the
  1462 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  1463 
  1464 * Disposed old type and term read functions (Sign.read_def_typ,
  1465 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  1466 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  1467 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  1468 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  1469 resort for legacy applications.
  1470 
  1471 * Disposed old declarations, tactics, tactic combinators that refer to
  1472 the simpset or claset of an implicit theory (such as Addsimps,
  1473 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  1474 embedded ML text, or local_simpset_of with a proper context passed as
  1475 explicit runtime argument.
  1476 
  1477 * Rules and tactics that read instantiations (read_instantiate,
  1478 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  1479 context, which is required for parsing and type-checking.  Moreover,
  1480 the variables are specified as plain indexnames, not string encodings
  1481 thereof.  INCOMPATIBILITY.
  1482 
  1483 * Generic Toplevel.add_hook interface allows to analyze the result of
  1484 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  1485 for theorem dependency output of transactions resulting in a new
  1486 theory state.
  1487 
  1488 * ML antiquotations: block-structured compilation context indicated by
  1489 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  1490 
  1491   @{binding name}                         - basic name binding
  1492   @{let ?pat = term}                      - term abbreviation (HO matching)
  1493   @{note name = fact}                     - fact abbreviation
  1494   @{thm fact}                             - singleton fact (with attributes)
  1495   @{thms fact}                            - general fact (with attributes)
  1496   @{lemma prop by method}                 - singleton goal
  1497   @{lemma prop by meth1 meth2}            - singleton goal
  1498   @{lemma prop1 ... propN by method}      - general goal
  1499   @{lemma prop1 ... propN by meth1 meth2} - general goal
  1500   @{lemma (open) ...}                     - open derivation
  1501 
  1502 
  1503 *** System ***
  1504 
  1505 * The Isabelle "emacs" tool provides a specific interface to invoke
  1506 Proof General / Emacs, with more explicit failure if that is not
  1507 installed (the old isabelle-interface script silently falls back on
  1508 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  1509 installation location of the Proof General distribution.
  1510 
  1511 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  1512 the Isabelle process into a JVM/Scala application.  See
  1513 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  1514 process wrapper has been discontinued.)
  1515 
  1516 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  1517 
  1518 * Various status messages (with exact source position information) are
  1519 emitted, if proper markup print mode is enabled.  This allows
  1520 user-interface components to provide detailed feedback on internal
  1521 prover operations.
  1522 
  1523 
  1524 
  1525 New in Isabelle2008 (June 2008)
  1526 -------------------------------
  1527 
  1528 *** General ***
  1529 
  1530 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  1531 and updated, with formally checked references as hyperlinks.
  1532 
  1533 * Theory loader: use_thy (and similar operations) no longer set the
  1534 implicit ML context, which was occasionally hard to predict and in
  1535 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  1536 provides a proper context already.
  1537 
  1538 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1539 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  1540 'use' within a theory file will do the job.
  1541 
  1542 * Name space merge now observes canonical order, i.e. the second space
  1543 is inserted into the first one, while existing entries in the first
  1544 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  1545 swap theory imports.
  1546 
  1547 * Syntax: symbol \<chi> is now considered a letter.  Potential
  1548 INCOMPATIBILITY in identifier syntax etc.
  1549 
  1550 * Outer syntax: string tokens no longer admit escaped white space,
  1551 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  1552 white space without escapes.
  1553 
  1554 * Outer syntax: string tokens may contain arbitrary character codes
  1555 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  1556 "foo_bar".
  1557 
  1558 
  1559 *** Pure ***
  1560 
  1561 * Context-dependent token translations.  Default setup reverts locally
  1562 fixed variables, and adds hilite markup for undeclared frees.
  1563 
  1564 * Unused theorems can be found using the new command 'unused_thms'.
  1565 There are three ways of invoking it:
  1566 
  1567 (1) unused_thms
  1568      Only finds unused theorems in the current theory.
  1569 
  1570 (2) unused_thms thy_1 ... thy_n -
  1571      Finds unused theorems in the current theory and all of its ancestors,
  1572      excluding the theories thy_1 ... thy_n and all of their ancestors.
  1573 
  1574 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  1575      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  1576      their ancestors, excluding the theories thy_1 ... thy_n and all of
  1577      their ancestors.
  1578 
  1579 In order to increase the readability of the list produced by
  1580 unused_thms, theorems that have been created by a particular instance
  1581 of a theory command such as 'inductive' or 'function' are considered
  1582 to belong to the same "group", meaning that if at least one theorem in
  1583 this group is used, the other theorems in the same group are no longer
  1584 reported as unused.  Moreover, if all theorems in the group are
  1585 unused, only one theorem in the group is displayed.
  1586 
  1587 Note that proof objects have to be switched on in order for
  1588 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  1589 usually the case when using Proof General with the default settings).
  1590 
  1591 * Authentic naming of facts disallows ad-hoc overwriting of previous
  1592 theorems within the same name space.  INCOMPATIBILITY, need to remove
  1593 duplicate fact bindings, or even accidental fact duplications.  Note
  1594 that tools may maintain dynamically scoped facts systematically, using
  1595 PureThy.add_thms_dynamic.
  1596 
  1597 * Command 'hide' now allows to hide from "fact" name space as well.
  1598 
  1599 * Eliminated destructive theorem database, simpset, claset, and
  1600 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  1601 update of theories within ML code.
  1602 
  1603 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  1604 INCOMPATIBILITY, object-logics depending on former Pure require
  1605 additional setup PureThy.old_appl_syntax_setup; object-logics
  1606 depending on former CPure need to refer to Pure.
  1607 
  1608 * Commands 'use' and 'ML' are now purely functional, operating on
  1609 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  1610 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  1611 INCOMPATIBILITY.
  1612 
  1613 * Command 'setup': discontinued implicit version with ML reference.
  1614 
  1615 * Instantiation target allows for simultaneous specification of class
  1616 instance operations together with an instantiation proof.
  1617 Type-checking phase allows to refer to class operations uniformly.
  1618 See src/HOL/Complex/Complex.thy for an Isar example and
  1619 src/HOL/Library/Eval.thy for an ML example.
  1620 
  1621 * Indexing of literal facts: be more serious about including only
  1622 facts from the visible specification/proof context, but not the
  1623 background context (locale etc.).  Affects `prop` notation and method
  1624 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  1625 situations.
  1626 
  1627 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  1628 "(open)" option, which used to expose internal bound variables to the
  1629 proof text.
  1630 
  1631 * Isar statements: removed obsolete case "rule_context".
  1632 INCOMPATIBILITY, better use explicit fixes/assumes.
  1633 
  1634 * Locale proofs: default proof step now includes 'unfold_locales';
  1635 hence 'proof' without argument may be used to unfold locale
  1636 predicates.
  1637 
  1638 
  1639 *** Document preparation ***
  1640 
  1641 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  1642 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  1643 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  1644 spot); renamed link color from "darkblue" to "linkcolor" (default
  1645 value unchanged, can be redefined via \definecolor); no longer sets
  1646 "a4paper" option (unnecessary or even intrusive).
  1647 
  1648 * Antiquotation @{lemma A method} proves proposition A by the given
  1649 method (either a method name or a method name plus (optional) method
  1650 arguments in parentheses) and prints A just like @{prop A}.
  1651 
  1652 
  1653 *** HOL ***
  1654 
  1655 * New primrec package.  Specification syntax conforms in style to
  1656 definition/function/....  No separate induction rule is provided.  The
  1657 "primrec" command distinguishes old-style and new-style specifications
  1658 by syntax.  The former primrec package is now named OldPrimrecPackage.
  1659 When adjusting theories, beware: constants stemming from new-style
  1660 primrec specifications have authentic syntax.
  1661 
  1662 * Metis prover is now an order of magnitude faster, and also works
  1663 with multithreading.
  1664 
  1665 * Metis: the maximum number of clauses that can be produced from a
  1666 theorem is now given by the attribute max_clauses.  Theorems that
  1667 exceed this number are ignored, with a warning printed.
  1668 
  1669 * Sledgehammer no longer produces structured proofs by default. To
  1670 enable, declare [[sledgehammer_full = true]].  Attributes
  1671 reconstruction_modulus, reconstruction_sorts renamed
  1672 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  1673 
  1674 * Method "induct_scheme" derives user-specified induction rules
  1675 from well-founded induction and completeness of patterns. This factors
  1676 out some operations that are done internally by the function package
  1677 and makes them available separately.  See
  1678 src/HOL/ex/Induction_Scheme.thy for examples.
  1679 
  1680 * More flexible generation of measure functions for termination
  1681 proofs: Measure functions can be declared by proving a rule of the
  1682 form "is_measure f" and giving it the [measure_function] attribute.
  1683 The "is_measure" predicate is logically meaningless (always true), and
  1684 just guides the heuristic.  To find suitable measure functions, the
  1685 termination prover sets up the goal "is_measure ?f" of the appropriate
  1686 type and generates all solutions by prolog-style backwards proof using
  1687 the declared rules.
  1688 
  1689 This setup also deals with rules like 
  1690 
  1691   "is_measure f ==> is_measure (list_size f)"
  1692 
  1693 which accommodates nested datatypes that recurse through lists.
  1694 Similar rules are predeclared for products and option types.
  1695 
  1696 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  1697 
  1698   INCOMPATIBILITIES:
  1699 
  1700   - Definitions of overloaded constants on sets have to be replaced by
  1701     definitions on => and bool.
  1702 
  1703   - Some definitions of overloaded operators on sets can now be proved
  1704     using the definitions of the operators on => and bool.  Therefore,
  1705     the following theorems have been renamed:
  1706 
  1707       subset_def   -> subset_eq
  1708       psubset_def  -> psubset_eq
  1709       set_diff_def -> set_diff_eq
  1710       Compl_def    -> Compl_eq
  1711       Sup_set_def  -> Sup_set_eq
  1712       Inf_set_def  -> Inf_set_eq
  1713       sup_set_def  -> sup_set_eq
  1714       inf_set_def  -> inf_set_eq
  1715 
  1716   - Due to the incompleteness of the HO unification algorithm, some
  1717     rules such as subst may require manual instantiation, if some of
  1718     the unknowns in the rule is a set.
  1719 
  1720   - Higher order unification and forward proofs:
  1721     The proof pattern
  1722 
  1723       have "P (S::'a set)" <...>
  1724       then have "EX S. P S" ..
  1725 
  1726     no longer works (due to the incompleteness of the HO unification
  1727     algorithm) and must be replaced by the pattern
  1728 
  1729       have "EX S. P S"
  1730       proof
  1731         show "P S" <...>
  1732       qed
  1733 
  1734   - Calculational reasoning with subst (or similar rules):
  1735     The proof pattern
  1736 
  1737       have "P (S::'a set)" <...>
  1738       also have "S = T" <...>
  1739       finally have "P T" .
  1740 
  1741     no longer works (for similar reasons as the previous example) and
  1742     must be replaced by something like
  1743 
  1744       have "P (S::'a set)" <...>
  1745       moreover have "S = T" <...>
  1746       ultimately have "P T" by simp
  1747 
  1748   - Tactics or packages written in ML code:
  1749     Code performing pattern matching on types via
  1750 
  1751       Type ("set", [T]) => ...
  1752 
  1753     must be rewritten. Moreover, functions like strip_type or
  1754     binder_types no longer return the right value when applied to a
  1755     type of the form
  1756 
  1757       T1 => ... => Tn => U => bool
  1758 
  1759     rather than
  1760 
  1761       T1 => ... => Tn => U set
  1762 
  1763 * Merged theories Wellfounded_Recursion, Accessible_Part and
  1764 Wellfounded_Relations to theory Wellfounded.
  1765 
  1766 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  1767 
  1768 * Class finite no longer treats UNIV as class parameter.  Use class
  1769 enum from theory Library/Enum instead to achieve a similar effect.
  1770 INCOMPATIBILITY.
  1771 
  1772 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  1773 and "Cons".  INCOMPATIBILITY.
  1774 
  1775 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  1776 Potential INCOMPATIBILITY.
  1777 
  1778 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  1779 injective_fst_snd removed, use split_eta and prod_eqI instead.
  1780 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  1781 
  1782 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  1783 the same name in theory Orderings:
  1784 
  1785   less_trans
  1786   less_linear
  1787   le_imp_less_or_eq
  1788   le_less_trans
  1789   less_le_trans
  1790   less_not_sym
  1791   less_asym
  1792 
  1793 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  1794 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  1795 and different variable names.
  1796 
  1797 * Library/Option_ord.thy: Canonical order on option type.
  1798 
  1799 * Library/RBT.thy: Red-black trees, an efficient implementation of
  1800 finite maps.
  1801 
  1802 * Library/Countable.thy: Type class for countable types.
  1803 
  1804 * Theory Int: The representation of numerals has changed.  The infix
  1805 operator BIT and the bit datatype with constructors B0 and B1 have
  1806 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  1807 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  1808 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  1809 accordingly.
  1810 
  1811 * Theory Nat: definition of <= and < on natural numbers no longer
  1812 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  1813 le_def and less_def have disappeared.  Consider lemmas not_less
  1814 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  1815 
  1816 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  1817 (whose purpose mainly is for various fold_set functionals) have been
  1818 abandoned in favor of the existing algebraic classes
  1819 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  1820 lower_semilattice (resp. upper_semilattice) and linorder.
  1821 INCOMPATIBILITY.
  1822 
  1823 * Theory Transitive_Closure: induct and cases rules now declare proper
  1824 case_names ("base" and "step").  INCOMPATIBILITY.
  1825 
  1826 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  1827 lattices.  The form set-specific version is available as
  1828 Inductive.lfp_ordinal_induct_set.
  1829 
  1830 * Renamed theorems "power.simps" to "power_int.simps".
  1831 INCOMPATIBILITY.
  1832 
  1833 * Class semiring_div provides basic abstract properties of semirings
  1834 with division and modulo operations.  Subsumes former class dvd_mod.
  1835 
  1836 * Merged theories IntDef, Numeral and IntArith into unified theory
  1837 Int.  INCOMPATIBILITY.
  1838 
  1839 * Theory Library/Code_Index: type "index" now represents natural
  1840 numbers rather than integers.  INCOMPATIBILITY.
  1841 
  1842 * New class "uminus" with operation "uminus" (split of from class
  1843 "minus" which now only has operation "minus", binary).
  1844 INCOMPATIBILITY.
  1845 
  1846 * Constants "card", "internal_split", "option_map" now with authentic
  1847 syntax.  INCOMPATIBILITY.
  1848 
  1849 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  1850 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  1851 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  1852 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  1853 Sup_set_def, le_def, less_def, option_map_def now with object
  1854 equality.  INCOMPATIBILITY.
  1855 
  1856 * Records. Removed K_record, and replaced it by pure lambda term
  1857 %x. c. The simplifier setup is now more robust against eta expansion.
  1858 INCOMPATIBILITY: in cases explicitly referring to K_record.
  1859 
  1860 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  1861 
  1862 * Library/ListVector: new theory of arithmetic vector operations.
  1863 
  1864 * Library/Order_Relation: new theory of various orderings as sets of
  1865 pairs.  Defines preorders, partial orders, linear orders and
  1866 well-orders on sets and on types.
  1867 
  1868 
  1869 *** ZF ***
  1870 
  1871 * Renamed some theories to allow to loading both ZF and HOL in the
  1872 same session:
  1873 
  1874   Datatype  -> Datatype_ZF
  1875   Inductive -> Inductive_ZF
  1876   Int       -> Int_ZF
  1877   IntDiv    -> IntDiv_ZF
  1878   Nat       -> Nat_ZF
  1879   List      -> List_ZF
  1880   Main      -> Main_ZF
  1881 
  1882 INCOMPATIBILITY: ZF theories that import individual theories below
  1883 Main might need to be adapted.  Regular theory Main is still
  1884 available, as trivial extension of Main_ZF.
  1885 
  1886 
  1887 *** ML ***
  1888 
  1889 * ML within Isar: antiquotation @{const name} or @{const
  1890 name(typargs)} produces statically-checked Const term.
  1891 
  1892 * Functor NamedThmsFun: data is available to the user as dynamic fact
  1893 (of the same name).  Removed obsolete print command.
  1894 
  1895 * Removed obsolete "use_legacy_bindings" function.
  1896 
  1897 * The ``print mode'' is now a thread-local value derived from a global
  1898 template (the former print_mode reference), thus access becomes
  1899 non-critical.  The global print_mode reference is for session
  1900 management only; user-code should use print_mode_value,
  1901 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  1902 
  1903 * Functions system/system_out provide a robust way to invoke external
  1904 shell commands, with propagation of interrupts (requires Poly/ML
  1905 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  1906 
  1907 
  1908 *** System ***
  1909 
  1910 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  1911 in accordance with Proof General 3.7, which prefers GNU emacs.
  1912 
  1913 * isatool tty runs Isabelle process with plain tty interaction;
  1914 optional line editor may be specified via ISABELLE_LINE_EDITOR
  1915 setting, the default settings attempt to locate "ledit" and "rlwrap".
  1916 
  1917 * isatool browser now works with Cygwin as well, using general
  1918 "javapath" function defined in Isabelle process environment.
  1919 
  1920 * YXML notation provides a simple and efficient alternative to
  1921 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  1922 isatool yxml as described in the Isabelle system manual.
  1923 
  1924 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  1925 provides general wrapper for managing an Isabelle process in a robust
  1926 fashion, with ``cooked'' output from stdin/stderr.
  1927 
  1928 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  1929 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  1930 
  1931 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  1932 way of changing the user's settings is via
  1933 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  1934 script.
  1935 
  1936 * Multithreading.max_threads := 0 refers to the number of actual CPU
  1937 cores of the underlying machine, which is a good starting point for
  1938 optimal performance tuning.  The corresponding usedir option -M allows
  1939 "max" as an alias for "0".  WARNING: does not work on certain versions
  1940 of Mac OS (with Poly/ML 5.1).
  1941 
  1942 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  1943 adverse effect of Isabelle flooding interactive front-ends (notably
  1944 ProofGeneral / XEmacs).
  1945 
  1946 
  1947 
  1948 New in Isabelle2007 (November 2007)
  1949 -----------------------------------
  1950 
  1951 *** General ***
  1952 
  1953 * More uniform information about legacy features, notably a
  1954 warning/error of "Legacy feature: ...", depending on the state of the
  1955 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  1956 legacy features will disappear eventually.
  1957 
  1958 * Theory syntax: the header format ``theory A = B + C:'' has been
  1959 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  1960 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  1961 
  1962 * Theory syntax: the old non-Isar theory file format has been
  1963 discontinued altogether.  Note that ML proof scripts may still be used
  1964 with Isar theories; migration is usually quite simple with the ML
  1965 function use_legacy_bindings.  INCOMPATIBILITY.
  1966 
  1967 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  1968 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  1969 quotes.
  1970 
  1971 * Theory loader: be more serious about observing the static theory
  1972 header specifications (including optional directories), but not the
  1973 accidental file locations of previously successful loads.  The strict
  1974 update policy of former update_thy is now already performed by
  1975 use_thy, so the former has been removed; use_thys updates several
  1976 theories simultaneously, just as 'imports' within a theory header
  1977 specification, but without merging the results.  Potential
  1978 INCOMPATIBILITY: may need to refine theory headers and commands
  1979 ROOT.ML which depend on load order.
  1980 
  1981 * Theory loader: optional support for content-based file
  1982 identification, instead of the traditional scheme of full physical
  1983 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  1984 (cf. the system manual).  The new scheme allows to work with
  1985 non-finished theories in persistent session images, such that source
  1986 files may be moved later on without requiring reloads.
  1987 
  1988 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1989 file (with the same base name as the theory) are considered a legacy
  1990 feature, which will disappear eventually. Even now, the theory loader
  1991 no longer maintains dependencies on such files.
  1992 
  1993 * Syntax: the scope for resolving ambiguities via type-inference is
  1994 now limited to individual terms, instead of whole simultaneous
  1995 specifications as before. This greatly reduces the complexity of the
  1996 syntax module and improves flexibility by separating parsing and
  1997 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  1998 'fixes' etc.) are required in rare situations.
  1999 
  2000 * Syntax: constants introduced by new-style packages ('definition',
  2001 'abbreviation' etc.) are passed through the syntax module in
  2002 ``authentic mode''. This means that associated mixfix annotations
  2003 really stick to such constants, independently of potential name space
  2004 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2005 trees are represented slightly differently, may need to adapt syntax
  2006 translations accordingly. Use CONST marker in 'translations' and
  2007 @{const_syntax} antiquotation in 'parse_translation' etc.
  2008 
  2009 * Legacy goal package: reduced interface to the bare minimum required
  2010 to keep existing proof scripts running.  Most other user-level
  2011 functions are now part of the OldGoals structure, which is *not* open
  2012 by default (consider isatool expandshort before open OldGoals).
  2013 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2014 these tend to cause confusion about the actual goal (!) context being
  2015 used here, which is not necessarily the same as the_context().
  2016 
  2017 * Command 'find_theorems': supports "*" wild-card in "name:"
  2018 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2019 support a specific search form (see ProofGeneral/CHANGES).
  2020 
  2021 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2022 by default, which means that "prems" (and also "fixed variables") are
  2023 suppressed from proof state output.  Note that the ProofGeneral
  2024 settings mechanism allows to change and save options persistently, but
  2025 older versions of Isabelle will fail to start up if a negative prems
  2026 limit is imposed.
  2027 
  2028 * Local theory targets may be specified by non-nested blocks of
  2029 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2030 contain definitions, theorems etc., including any derived mechanism
  2031 that has been implemented on top of these primitives.  This concept
  2032 generalizes the existing ``theorem (in ...)'' towards more versatility
  2033 and scalability.
  2034 
  2035 * Proof General interface: proper undo of final 'end' command;
  2036 discontinued Isabelle/classic mode (ML proof scripts).
  2037 
  2038 
  2039 *** Document preparation ***
  2040 
  2041 * Added antiquotation @{theory name} which prints the given name,
  2042 after checking that it refers to a valid ancestor theory in the
  2043 current context.
  2044 
  2045 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2046 check the given source text as ML type/structure, printing verbatim.
  2047 
  2048 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  2049 "c args == rhs" given in the current context.  (Any number of
  2050 arguments may be given on the LHS.)
  2051 
  2052 
  2053 *** Pure ***
  2054 
  2055 * The 'class' package offers a combination of axclass and locale to
  2056 achieve Haskell-like type classes in Isabelle.  Definitions and
  2057 theorems within a class context produce both relative results (with
  2058 implicit parameters according to the locale context), and polymorphic
  2059 constants with qualified polymorphism (according to the class
  2060 context).  Within the body context of a 'class' target, a separate
  2061 syntax layer ("user space type system") takes care of converting
  2062 between global polymorphic consts and internal locale representation.
  2063 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  2064 "isatool doc classes" provides a tutorial.
  2065 
  2066 * Generic code generator framework allows to generate executable
  2067 code for ML and Haskell (including Isabelle classes).  A short usage
  2068 sketch:
  2069 
  2070     internal compilation:
  2071         export_code <list of constants (term syntax)> in SML
  2072     writing SML code to a file:
  2073         export_code <list of constants (term syntax)> in SML <filename>
  2074     writing OCaml code to a file:
  2075         export_code <list of constants (term syntax)> in OCaml <filename>
  2076     writing Haskell code to a bunch of files:
  2077         export_code <list of constants (term syntax)> in Haskell <filename>
  2078 
  2079     evaluating closed propositions to True/False using code generation:
  2080         method ``eval''
  2081 
  2082 Reasonable default setup of framework in HOL.
  2083 
  2084 Theorem attributs for selecting and transforming function equations theorems:
  2085 
  2086     [code fun]:        select a theorem as function equation for a specific constant
  2087     [code fun del]:    deselect a theorem as function equation for a specific constant
  2088     [code inline]:     select an equation theorem for unfolding (inlining) in place
  2089     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  2090 
  2091 User-defined serializations (target in {SML, OCaml, Haskell}):
  2092 
  2093     code_const <and-list of constants (term syntax)>
  2094       {(target) <and-list of const target syntax>}+
  2095 
  2096     code_type <and-list of type constructors>
  2097       {(target) <and-list of type target syntax>}+
  2098 
  2099     code_instance <and-list of instances>
  2100       {(target)}+
  2101         where instance ::= <type constructor> :: <class>
  2102 
  2103     code_class <and_list of classes>
  2104       {(target) <and-list of class target syntax>}+
  2105         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  2106 
  2107 code_instance and code_class only are effective to target Haskell.
  2108 
  2109 For example usage see src/HOL/ex/Codegenerator.thy and
  2110 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  2111 generation from Isabelle/HOL theories is available via "isatool doc
  2112 codegen".
  2113 
  2114 * Code generator: consts in 'consts_code' Isar commands are now
  2115 referred to by usual term syntax (including optional type
  2116 annotations).
  2117 
  2118 * Command 'no_translations' removes translation rules from theory
  2119 syntax.
  2120 
  2121 * Overloaded definitions are now actually checked for acyclic
  2122 dependencies.  The overloading scheme is slightly more general than
  2123 that of Haskell98, although Isabelle does not demand an exact
  2124 correspondence to type class and instance declarations.
  2125 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  2126 exotic versions of overloading -- at the discretion of the user!
  2127 
  2128 Polymorphic constants are represented via type arguments, i.e. the
  2129 instantiation that matches an instance against the most general
  2130 declaration given in the signature.  For example, with the declaration
  2131 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  2132 as c(nat).  Overloading is essentially simultaneous structural
  2133 recursion over such type arguments.  Incomplete specification patterns
  2134 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  2135 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  2136 Command 'print_theory' outputs the normalized system of recursive
  2137 equations, see section "definitions".
  2138 
  2139 * Configuration options are maintained within the theory or proof
  2140 context (with name and type bool/int/string), providing a very simple
  2141 interface to a poor-man's version of general context data.  Tools may
  2142 declare options in ML (e.g. using Attrib.config_int) and then refer to
  2143 these values using Config.get etc.  Users may change options via an
  2144 associated attribute of the same name.  This form of context
  2145 declaration works particularly well with commands 'declare' or
  2146 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  2147 very easy to avoid global references, which would not observe Isar
  2148 toplevel undo/redo and fail to work with multithreading.
  2149 
  2150 Various global ML references of Pure and HOL have been turned into
  2151 configuration options:
  2152 
  2153   Unify.search_bound		unify_search_bound
  2154   Unify.trace_bound		unify_trace_bound
  2155   Unify.trace_simp		unify_trace_simp
  2156   Unify.trace_types		unify_trace_types
  2157   Simplifier.simp_depth_limit	simp_depth_limit
  2158   Blast.depth_limit		blast_depth_limit
  2159   DatatypeProp.dtK		datatype_distinctness_limit
  2160   fast_arith_neq_limit  	fast_arith_neq_limit
  2161   fast_arith_split_limit	fast_arith_split_limit
  2162 
  2163 * Named collections of theorems may be easily installed as context
  2164 data using the functor NamedThmsFun (see also
  2165 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  2166 attributes; there is also a toplevel print command.  This facility is
  2167 just a common case of general context data, which is the preferred way
  2168 for anything more complex than just a list of facts in canonical
  2169 order.
  2170 
  2171 * Isar: command 'declaration' augments a local theory by generic
  2172 declaration functions written in ML.  This enables arbitrary content
  2173 being added to the context, depending on a morphism that tells the
  2174 difference of the original declaration context wrt. the application
  2175 context encountered later on.
  2176 
  2177 * Isar: proper interfaces for simplification procedures.  Command
  2178 'simproc_setup' declares named simprocs (with match patterns, and body
  2179 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  2180 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  2181 
  2182 * Isar: an extra pair of brackets around attribute declarations
  2183 abbreviates a theorem reference involving an internal dummy fact,
  2184 which will be ignored later --- only the effect of the attribute on
  2185 the background context will persist.  This form of in-place
  2186 declarations is particularly useful with commands like 'declare' and
  2187 'using', for example ``have A using [[simproc a]] by simp''.
  2188 
  2189 * Isar: method "assumption" (and implicit closing of subproofs) now
  2190 takes simple non-atomic goal assumptions into account: after applying
  2191 an assumption as a rule the resulting subgoals are solved by atomic
  2192 assumption steps.  This is particularly useful to finish 'obtain'
  2193 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  2194 without referring to the original premise "!!x. P x ==> thesis" in the
  2195 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  2196 more permissive.
  2197 
  2198 * Isar: implicit use of prems from the Isar proof context is
  2199 considered a legacy feature.  Common applications like ``have A .''
  2200 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  2201 referencing facts explicitly here improves readability and
  2202 maintainability of proof texts.
  2203 
  2204 * Isar: improper proof element 'guess' is like 'obtain', but derives
  2205 the obtained context from the course of reasoning!  For example:
  2206 
  2207   assume "EX x y. A x & B y"   -- "any previous fact"
  2208   then guess x and y by clarify
  2209 
  2210 This technique is potentially adventurous, depending on the facts and
  2211 proof tools being involved here.
  2212 
  2213 * Isar: known facts from the proof context may be specified as literal
  2214 propositions, using ASCII back-quote syntax.  This works wherever
  2215 named facts used to be allowed so far, in proof commands, proof
  2216 methods, attributes etc.  Literal facts are retrieved from the context
  2217 according to unification of type and term parameters.  For example,
  2218 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  2219 theorems in the current context, then these are valid literal facts:
  2220 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  2221 
  2222 There is also a proof method "fact" which does the same composition
  2223 for explicit goal states, e.g. the following proof texts coincide with
  2224 certain special cases of literal facts:
  2225 
  2226   have "A" by fact                 ==  note `A`
  2227   have "A ==> B" by fact           ==  note `A ==> B`
  2228   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  2229   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  2230 
  2231 * Isar: ":" (colon) is no longer a symbolic identifier character in
  2232 outer syntax.  Thus symbolic identifiers may be used without
  2233 additional white space in declarations like this: ``assume *: A''.
  2234 
  2235 * Isar: 'print_facts' prints all local facts of the current context,
  2236 both named and unnamed ones.
  2237 
  2238 * Isar: 'def' now admits simultaneous definitions, e.g.:
  2239 
  2240   def x == "t" and y == "u"
  2241 
  2242 * Isar: added command 'unfolding', which is structurally similar to
  2243 'using', but affects both the goal state and facts by unfolding given
  2244 rewrite rules.  Thus many occurrences of the 'unfold' method or
  2245 'unfolded' attribute may be replaced by first-class proof text.
  2246 
  2247 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  2248 and command 'unfolding' now all support object-level equalities
  2249 (potentially conditional).  The underlying notion of rewrite rule is
  2250 analogous to the 'rule_format' attribute, but *not* that of the
  2251 Simplifier (which is usually more generous).
  2252 
  2253 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  2254 premises of a theorem by n. Useful in conjunction with drule.
  2255 
  2256 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  2257 method expression within a sandbox consisting of the first N
  2258 sub-goals, which need to exist.  For example, ``simp_all [3]''
  2259 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  2260 simplifies all new goals that emerge from applying rule foo to the
  2261 originally first one.
  2262 
  2263 * Isar: schematic goals are no longer restricted to higher-order
  2264 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  2265 expected.
  2266 
  2267 * Isar: the conclusion of a long theorem statement is now either
  2268 'shows' (a simultaneous conjunction, as before), or 'obtains'
  2269 (essentially a disjunction of cases with local parameters and
  2270 assumptions).  The latter allows to express general elimination rules
  2271 adequately; in this notation common elimination rules look like this:
  2272 
  2273   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  2274     assumes "EX x. P x"
  2275     obtains x where "P x"
  2276 
  2277   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  2278     assumes "A & B"
  2279     obtains A and B
  2280 
  2281   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  2282     assumes "A | B"
  2283     obtains
  2284       A
  2285     | B
  2286 
  2287 The subsequent classical rules even refer to the formal "thesis"
  2288 explicitly:
  2289 
  2290   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  2291     obtains "~ thesis"
  2292 
  2293   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  2294     obtains "thesis ==> something"
  2295 
  2296 The actual proof of an 'obtains' statement is analogous to that of the
  2297 Isar proof element 'obtain', only that there may be several cases.
  2298 Optional case names may be specified in parentheses; these will be
  2299 available both in the present proof and as annotations in the
  2300 resulting rule, for later use with the 'cases' method (cf. attribute
  2301 case_names).
  2302 
  2303 * Isar: the assumptions of a long theorem statement are available as
  2304 "assms" fact in the proof context.  This is more appropriate than the
  2305 (historical) "prems", which refers to all assumptions of the current
  2306 context, including those from the target locale, proof body etc.
  2307 
  2308 * Isar: 'print_statement' prints theorems from the current theory or
  2309 proof context in long statement form, according to the syntax of a
  2310 top-level lemma.
  2311 
  2312 * Isar: 'obtain' takes an optional case name for the local context
  2313 introduction rule (default "that").
  2314 
  2315 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  2316 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  2317 to occur.
  2318 
  2319 * Pure: syntax "CONST name" produces a fully internalized constant
  2320 according to the current context.  This is particularly useful for
  2321 syntax translations that should refer to internal constant
  2322 representations independently of name spaces.
  2323 
  2324 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  2325 instead of "FOO ". This allows multiple binder declarations to coexist
  2326 in the same context.  INCOMPATIBILITY.
  2327 
  2328 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  2329 primitive that also works in a locale context (both for constants and
  2330 fixed variables). Type declaration and internal syntactic representation
  2331 of given constants retrieved from the context. Likewise, the
  2332 'no_notation' command allows to remove given syntax annotations from the
  2333 current context.
  2334 
  2335 * Isar/locales: new derived specification elements 'axiomatization',
  2336 'definition', 'abbreviation', which support type-inference, admit
  2337 object-level specifications (equality, equivalence).  See also the
  2338 isar-ref manual.  Examples:
  2339 
  2340   axiomatization
  2341     eq  (infix "===" 50) where
  2342     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  2343 
  2344   definition "f x y = x + y + 1"
  2345   definition g where "g x = f x x"
  2346 
  2347   abbreviation
  2348     neq  (infix "=!=" 50) where
  2349     "x =!= y == ~ (x === y)"
  2350 
  2351 These specifications may be also used in a locale context.  Then the
  2352 constants being introduced depend on certain fixed parameters, and the
  2353 constant name is qualified by the locale base name.  An internal
  2354 abbreviation takes care for convenient input and output, making the
  2355 parameters implicit and using the original short name.  See also
  2356 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  2357 entities from a monomorphic theory.
  2358 
  2359 Presently, abbreviations are only available 'in' a target locale, but
  2360 not inherited by general import expressions.  Also note that
  2361 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  2362 'translations' in common applications.  The "no_abbrevs" print mode
  2363 prevents folding of abbreviations in term output.
  2364 
  2365 Concrete syntax is attached to specified constants in internal form,
  2366 independently of name spaces.  The parse tree representation is
  2367 slightly different -- use 'notation' instead of raw 'syntax', and
  2368 'translations' with explicit "CONST" markup to accommodate this.
  2369 
  2370 * Pure/Isar: unified syntax for new-style specification mechanisms
  2371 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  2372 full type inference and dummy patterns ("_").  For example:
  2373 
  2374   definition "K x _ = x"
  2375 
  2376   inductive conj for A B
  2377   where "A ==> B ==> conj A B"
  2378 
  2379 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  2380 the current context.  Print mode "no_abbrevs" prevents inversion of
  2381 abbreviations on output.
  2382 
  2383 * Isar/locales: improved parameter handling: use of locales "var" and
  2384 "struct" no longer necessary; - parameter renamings are no longer
  2385 required to be injective.  For example, this allows to define
  2386 endomorphisms as locale endom = homom mult mult h.
  2387 
  2388 * Isar/locales: changed the way locales with predicates are defined.
  2389 Instead of accumulating the specification, the imported expression is
  2390 now an interpretation.  INCOMPATIBILITY: different normal form of
  2391 locale expressions.  In particular, in interpretations of locales with
  2392 predicates, goals repesenting already interpreted fragments are not
  2393 removed automatically.  Use methods `intro_locales' and
  2394 `unfold_locales'; see below.
  2395 
  2396 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  2397 provide backward reasoning on locales predicates.  The methods are
  2398 aware of interpretations and discharge corresponding goals.
  2399 `intro_locales' is less aggressive then `unfold_locales' and does not
  2400 unfold predicates to assumptions.
  2401 
  2402 * Isar/locales: the order in which locale fragments are accumulated
  2403 has changed.  This enables to override declarations from fragments due
  2404 to interpretations -- for example, unwanted simp rules.
  2405 
  2406 * Isar/locales: interpretation in theories and proof contexts has been
  2407 extended.  One may now specify (and prove) equations, which are
  2408 unfolded in interpreted theorems.  This is useful for replacing
  2409 defined concepts (constants depending on locale parameters) by
  2410 concepts already existing in the target context.  Example:
  2411 
  2412   interpretation partial_order ["op <= :: [int, int] => bool"]
  2413     where "partial_order.less (op <=) (x::int) y = (x < y)"
  2414 
  2415 Typically, the constant `partial_order.less' is created by a
  2416 definition specification element in the context of locale
  2417 partial_order.
  2418 
  2419 * Method "induct": improved internal context management to support
  2420 local fixes and defines on-the-fly. Thus explicit meta-level
  2421 connectives !!  and ==> are rarely required anymore in inductive goals
  2422 (using object-logic connectives for this purpose has been long
  2423 obsolete anyway). Common proof patterns are explained in
  2424 src/HOL/Induct/Common_Patterns.thy, see also
  2425 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  2426 examples.
  2427 
  2428 * Method "induct": improved handling of simultaneous goals. Instead of
  2429 introducing object-level conjunction, the statement is now split into
  2430 several conclusions, while the corresponding symbolic cases are nested
  2431 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  2432 see src/HOL/Induct/Common_Patterns.thy, for example.
  2433 
  2434 * Method "induct": mutual induction rules are now specified as a list
  2435 of rule sharing the same induction cases. HOL packages usually provide
  2436 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  2437 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  2438 mutual induction rules differently, i.e. like this:
  2439 
  2440   (induct rule: foo_bar.inducts)
  2441   (induct set: foo bar)
  2442   (induct pred: foo bar)
  2443   (induct type: foo bar)
  2444 
  2445 The ML function ProjectRule.projections turns old-style rules into the
  2446 new format.
  2447 
  2448 * Method "coinduct": dual of induction, see
  2449 src/HOL/Library/Coinductive_List.thy for various examples.
  2450 
  2451 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  2452 considered a legacy feature.
  2453 
  2454 * Attribute "symmetric" produces result with standardized schematic
  2455 variables (index 0).  Potential INCOMPATIBILITY.
  2456 
  2457 * Simplifier: by default the simplifier trace only shows top level
  2458 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  2459 default. Thus there is less danger of being flooded by the trace. The
  2460 trace indicates where parts have been suppressed.
  2461   
  2462 * Provers/classical: removed obsolete classical version of elim_format
  2463 attribute; classical elim/dest rules are now treated uniformly when
  2464 manipulating the claset.
  2465 
  2466 * Provers/classical: stricter checks to ensure that supplied intro,
  2467 dest and elim rules are well-formed; dest and elim rules must have at
  2468 least one premise.
  2469 
  2470 * Provers/classical: attributes dest/elim/intro take an optional
  2471 weight argument for the rule (just as the Pure versions).  Weights are
  2472 ignored by automated tools, but determine the search order of single
  2473 rule steps.
  2474 
  2475 * Syntax: input syntax now supports dummy variable binding "%_. b",
  2476 where the body does not mention the bound variable.  Note that dummy
  2477 patterns implicitly depend on their context of bounds, which makes
  2478 "{_. _}" match any set comprehension as expected.  Potential
  2479 INCOMPATIBILITY -- parse translations need to cope with syntactic
  2480 constant "_idtdummy" in the binding position.
  2481 
  2482 * Syntax: removed obsolete syntactic constant "_K" and its associated
  2483 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  2484 for example "A -> B" => "Pi A (%_. B)".
  2485 
  2486 * Pure: 'class_deps' command visualizes the subclass relation, using
  2487 the graph browser tool.
  2488 
  2489 * Pure: 'print_theory' now suppresses certain internal declarations by
  2490 default; use '!' option for full details.
  2491 
  2492 
  2493 *** HOL ***
  2494 
  2495 * Method "metis" proves goals by applying the Metis general-purpose
  2496 resolution prover (see also http://gilith.com/software/metis/).
  2497 Examples are in the directory MetisExamples.  WARNING: the
  2498 Isabelle/HOL-Metis integration does not yet work properly with
  2499 multi-threading.
  2500   
  2501 * Command 'sledgehammer' invokes external automatic theorem provers as
  2502 background processes.  It generates calls to the "metis" method if
  2503 successful. These can be pasted into the proof.  Users do not have to
  2504 wait for the automatic provers to return.  WARNING: does not really
  2505 work with multi-threading.
  2506 
  2507 * New "auto_quickcheck" feature tests outermost goal statements for
  2508 potential counter-examples.  Controlled by ML references
  2509 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  2510 5000 milliseconds).  Fails silently if statements is outside of
  2511 executable fragment, or any other codgenerator problem occurs.
  2512 
  2513 * New constant "undefined" with axiom "undefined x = undefined".
  2514 
  2515 * Added class "HOL.eq", allowing for code generation with polymorphic
  2516 equality.
  2517 
  2518 * Some renaming of class constants due to canonical name prefixing in
  2519 the new 'class' package:
  2520 
  2521     HOL.abs ~> HOL.abs_class.abs
  2522     HOL.divide ~> HOL.divide_class.divide
  2523     0 ~> HOL.zero_class.zero
  2524     1 ~> HOL.one_class.one
  2525     op + ~> HOL.plus_class.plus
  2526     op - ~> HOL.minus_class.minus
  2527     uminus ~> HOL.minus_class.uminus
  2528     op * ~> HOL.times_class.times
  2529     op < ~> HOL.ord_class.less
  2530     op <= > HOL.ord_class.less_eq
  2531     Nat.power ~> Power.power_class.power
  2532     Nat.size ~> Nat.size_class.size
  2533     Numeral.number_of ~> Numeral.number_class.number_of
  2534     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  2535     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  2536     Orderings.min ~> Orderings.ord_class.min
  2537     Orderings.max ~> Orderings.ord_class.max
  2538     Divides.op div ~> Divides.div_class.div
  2539     Divides.op mod ~> Divides.div_class.mod
  2540     Divides.op dvd ~> Divides.div_class.dvd
  2541 
  2542 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  2543 
  2544 a) User-defined constants using any of the names "plus", "minus",
  2545 "times", "less" or "less_eq". The standard syntax translations for
  2546 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  2547 names.
  2548 
  2549 b) Variables named "plus", "minus", "times", "less", "less_eq"
  2550 INCOMPATIBILITY: use more specific names.
  2551 
  2552 c) Permutative equations (e.g. "a + b = b + a")
  2553 Since the change of names also changes the order of terms, permutative
  2554 rewrite rules may get applied in a different order. Experience shows
  2555 that this is rarely the case (only two adaptions in the whole Isabelle
  2556 distribution).  INCOMPATIBILITY: rewrite proofs
  2557 
  2558 d) ML code directly refering to constant names
  2559 This in general only affects hand-written proof tactics, simprocs and
  2560 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  2561 Consider using @{const_name} antiquotation.
  2562 
  2563 * New class "default" with associated constant "default".
  2564 
  2565 * Function "sgn" is now overloaded and available on int, real, complex
  2566 (and other numeric types), using class "sgn".  Two possible defs of
  2567 sgn are given as equational assumptions in the classes sgn_if and
  2568 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  2569 INCOMPATIBILITY.
  2570 
  2571 * Locale "partial_order" now unified with class "order" (cf. theory
  2572 Orderings), added parameter "less".  INCOMPATIBILITY.
  2573 
  2574 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  2575 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  2576 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  2577 
  2578 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  2579 changed order of proof goals in instance proofs.
  2580 
  2581 * The transitivity reasoner for partial and linear orders is set up
  2582 for classes "order" and "linorder".  Instances of the reasoner are available
  2583 in all contexts importing or interpreting the corresponding locales.
  2584 Method "order" invokes the reasoner separately; the reasoner
  2585 is also integrated with the Simplifier as a solver.  Diagnostic
  2586 command 'print_orders' shows the available instances of the reasoner
  2587 in the current context.
  2588 
  2589 * Localized monotonicity predicate in theory "Orderings"; integrated
  2590 lemmas max_of_mono and min_of_mono with this predicate.
  2591 INCOMPATIBILITY.
  2592 
  2593 * Formulation of theorem "dense" changed slightly due to integration
  2594 with new class dense_linear_order.
  2595 
  2596 * Uniform lattice theory development in HOL.
  2597 
  2598     constants "meet" and "join" now named "inf" and "sup"
  2599     constant "Meet" now named "Inf"
  2600 
  2601     classes "meet_semilorder" and "join_semilorder" now named
  2602       "lower_semilattice" and "upper_semilattice"
  2603     class "lorder" now named "lattice"
  2604     class "comp_lat" now named "complete_lattice"
  2605 
  2606     Instantiation of lattice classes allows explicit definitions
  2607     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  2608 
  2609   INCOMPATIBILITY.  Theorem renames:
  2610 
  2611     meet_left_le            ~> inf_le1
  2612     meet_right_le           ~> inf_le2
  2613     join_left_le            ~> sup_ge1
  2614     join_right_le           ~> sup_ge2
  2615     meet_join_le            ~> inf_sup_ord
  2616     le_meetI                ~> le_infI
  2617     join_leI                ~> le_supI
  2618     le_meet                 ~> le_inf_iff
  2619     le_join                 ~> ge_sup_conv
  2620     meet_idempotent         ~> inf_idem
  2621     join_idempotent         ~> sup_idem
  2622     meet_comm               ~> inf_commute
  2623     join_comm               ~> sup_commute
  2624     meet_leI1               ~> le_infI1
  2625     meet_leI2               ~> le_infI2
  2626     le_joinI1               ~> le_supI1
  2627     le_joinI2               ~> le_supI2
  2628     meet_assoc              ~> inf_assoc
  2629     join_assoc              ~> sup_assoc
  2630     meet_left_comm          ~> inf_left_commute
  2631     meet_left_idempotent    ~> inf_left_idem
  2632     join_left_comm          ~> sup_left_commute
  2633     join_left_idempotent    ~> sup_left_idem
  2634     meet_aci                ~> inf_aci
  2635     join_aci                ~> sup_aci
  2636     le_def_meet             ~> le_iff_inf
  2637     le_def_join             ~> le_iff_sup
  2638     join_absorp2            ~> sup_absorb2
  2639     join_absorp1            ~> sup_absorb1
  2640     meet_absorp1            ~> inf_absorb1
  2641     meet_absorp2            ~> inf_absorb2
  2642     meet_join_absorp        ~> inf_sup_absorb
  2643     join_meet_absorp        ~> sup_inf_absorb
  2644     distrib_join_le         ~> distrib_sup_le
  2645     distrib_meet_le         ~> distrib_inf_le
  2646 
  2647     add_meet_distrib_left   ~> add_inf_distrib_left
  2648     add_join_distrib_left   ~> add_sup_distrib_left
  2649     is_join_neg_meet        ~> is_join_neg_inf
  2650     is_meet_neg_join        ~> is_meet_neg_sup
  2651     add_meet_distrib_right  ~> add_inf_distrib_right
  2652     add_join_distrib_right  ~> add_sup_distrib_right
  2653     add_meet_join_distribs  ~> add_sup_inf_distribs
  2654     join_eq_neg_meet        ~> sup_eq_neg_inf
  2655     meet_eq_neg_join        ~> inf_eq_neg_sup
  2656     add_eq_meet_join        ~> add_eq_inf_sup
  2657     meet_0_imp_0            ~> inf_0_imp_0
  2658     join_0_imp_0            ~> sup_0_imp_0
  2659     meet_0_eq_0             ~> inf_0_eq_0
  2660     join_0_eq_0             ~> sup_0_eq_0
  2661     neg_meet_eq_join        ~> neg_inf_eq_sup
  2662     neg_join_eq_meet        ~> neg_sup_eq_inf
  2663     join_eq_if              ~> sup_eq_if
  2664 
  2665     mono_meet               ~> mono_inf
  2666     mono_join               ~> mono_sup
  2667     meet_bool_eq            ~> inf_bool_eq
  2668     join_bool_eq            ~> sup_bool_eq
  2669     meet_fun_eq             ~> inf_fun_eq
  2670     join_fun_eq             ~> sup_fun_eq
  2671     meet_set_eq             ~> inf_set_eq
  2672     join_set_eq             ~> sup_set_eq
  2673     meet1_iff               ~> inf1_iff
  2674     meet2_iff               ~> inf2_iff
  2675     meet1I                  ~> inf1I
  2676     meet2I                  ~> inf2I
  2677     meet1D1                 ~> inf1D1
  2678     meet2D1                 ~> inf2D1
  2679     meet1D2                 ~> inf1D2
  2680     meet2D2                 ~> inf2D2
  2681     meet1E                  ~> inf1E
  2682     meet2E                  ~> inf2E
  2683     join1_iff               ~> sup1_iff
  2684     join2_iff               ~> sup2_iff
  2685     join1I1                 ~> sup1I1
  2686     join2I1                 ~> sup2I1
  2687     join1I1                 ~> sup1I1
  2688     join2I2                 ~> sup1I2
  2689     join1CI                 ~> sup1CI
  2690     join2CI                 ~> sup2CI
  2691     join1E                  ~> sup1E
  2692     join2E                  ~> sup2E
  2693 
  2694     is_meet_Meet            ~> is_meet_Inf
  2695     Meet_bool_def           ~> Inf_bool_def
  2696     Meet_fun_def            ~> Inf_fun_def
  2697     Meet_greatest           ~> Inf_greatest
  2698     Meet_lower              ~> Inf_lower
  2699     Meet_set_def            ~> Inf_set_def
  2700 
  2701     Sup_def                 ~> Sup_Inf
  2702     Sup_bool_eq             ~> Sup_bool_def
  2703     Sup_fun_eq              ~> Sup_fun_def
  2704     Sup_set_eq              ~> Sup_set_def
  2705 
  2706     listsp_meetI            ~> listsp_infI
  2707     listsp_meet_eq          ~> listsp_inf_eq
  2708 
  2709     meet_min                ~> inf_min
  2710     join_max                ~> sup_max
  2711 
  2712 * Added syntactic class "size"; overloaded constant "size" now has
  2713 type "'a::size ==> bool"
  2714 
  2715 * Internal reorganisation of `size' of datatypes: size theorems
  2716 "foo.size" are no longer subsumed by "foo.simps" (but are still
  2717 simplification rules by default!); theorems "prod.size" now named
  2718 "*.size".
  2719 
  2720 * Class "div" now inherits from class "times" rather than "type".
  2721 INCOMPATIBILITY.
  2722 
  2723 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  2724 Linorder etc.  have disappeared; operations defined in terms of
  2725 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  2726 
  2727 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  2728 
  2729 * HOL-Word: New extensive library and type for generic, fixed size
  2730 machine words, with arithemtic, bit-wise, shifting and rotating
  2731 operations, reflection into int, nat, and bool lists, automation for
  2732 linear arithmetic (by automatic reflection into nat or int), including
  2733 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  2734 arithmetic type classes, supporting automatic simplification of
  2735 numerals on all operations.
  2736 
  2737 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  2738 
  2739 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  2740 
  2741 * Code generator library theories:
  2742   - Code_Integer represents HOL integers by big integer literals in target
  2743     languages.
  2744   - Code_Char represents HOL characters by character literals in target
  2745     languages.
  2746   - Code_Char_chr like Code_Char, but also offers treatment of character
  2747     codes; includes Code_Integer.
  2748   - Executable_Set allows to generate code for finite sets using lists.
  2749   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  2750     denominator).
  2751   - Executable_Real implements a subset of real numbers, namly those
  2752     representable by rational numbers.
  2753   - Efficient_Nat implements natural numbers by integers, which in general will
  2754     result in higher efficency; pattern matching with 0/Suc is eliminated;
  2755     includes Code_Integer.
  2756   - Code_Index provides an additional datatype index which is mapped to
  2757     target-language built-in integers.
  2758   - Code_Message provides an additional datatype message_string which is isomorphic to
  2759     strings; messages are mapped to target-language strings.
  2760 
  2761 * New package for inductive predicates
  2762 
  2763   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  2764 
  2765     inductive
  2766       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2767       for z_1 :: U_1 and ... and z_n :: U_m
  2768     where
  2769       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2770     | ...
  2771 
  2772   with full support for type-inference, rather than
  2773 
  2774     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2775 
  2776     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2777     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2778 
  2779     inductive "s z_1 ... z_m"
  2780     intros
  2781       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2782       ...
  2783 
  2784   For backward compatibility, there is a wrapper allowing inductive
  2785   sets to be defined with the new package via
  2786 
  2787     inductive_set
  2788       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2789       for z_1 :: U_1 and ... and z_n :: U_m
  2790     where
  2791       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2792     | ...
  2793 
  2794   or
  2795 
  2796     inductive_set
  2797       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2798       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2799       for z_1 :: U_1 and ... and z_n :: U_m
  2800     where
  2801       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2802     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2803     | ...
  2804 
  2805   if the additional syntax "p ..." is required.
  2806 
  2807   Numerous examples can be found in the subdirectories src/HOL/Auth,
  2808   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  2809 
  2810   INCOMPATIBILITIES:
  2811 
  2812   - Since declaration and definition of inductive sets or predicates
  2813     is no longer separated, abbreviations involving the newly
  2814     introduced sets or predicates must be specified together with the
  2815     introduction rules after the 'where' keyword (see above), rather
  2816     than before the actual inductive definition.
  2817 
  2818   - The variables in induction and elimination rules are now
  2819     quantified in the order of their occurrence in the introduction
  2820     rules, rather than in alphabetical order. Since this may break
  2821     some proofs, these proofs either have to be repaired, e.g. by
  2822     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  2823     statements of the form
  2824 
  2825       case (rule_i a_i_1 ... a_i_{k_i})
  2826 
  2827     or the old order of quantification has to be restored by explicitly adding
  2828     meta-level quantifiers in the introduction rules, i.e.
  2829 
  2830       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  2831 
  2832   - The format of the elimination rules is now
  2833 
  2834       p z_1 ... z_m x_1 ... x_n ==>
  2835         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2836         ==> ... ==> P
  2837 
  2838     for predicates and
  2839 
  2840       (x_1, ..., x_n) : s z_1 ... z_m ==>
  2841         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2842         ==> ... ==> P
  2843 
  2844     for sets rather than
  2845 
  2846       x : s z_1 ... z_m ==>
  2847         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  2848         ==> ... ==> P
  2849 
  2850     This may require terms in goals to be expanded to n-tuples
  2851     (e.g. using case_tac or simplification with the split_paired_all
  2852     rule) before the above elimination rule is applicable.
  2853 
  2854   - The elimination or case analysis rules for (mutually) inductive
  2855     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  2856     list of rules "p_1_..._p_k.elims" is no longer available.
  2857 
  2858 * New package "function"/"fun" for general recursive functions,
  2859 supporting mutual and nested recursion, definitions in local contexts,
  2860 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  2861 for small examples, and the separate tutorial on the function
  2862 package. The old recdef "package" is still available as before, but
  2863 users are encouraged to use the new package.
  2864 
  2865 * Method "lexicographic_order" automatically synthesizes termination
  2866 relations as lexicographic combinations of size measures. 
  2867 
  2868 * Case-expressions allow arbitrary constructor-patterns (including
  2869 "_") and take their order into account, like in functional
  2870 programming.  Internally, this is translated into nested
  2871 case-expressions; missing cases are added and mapped to the predefined
  2872 constant "undefined". In complicated cases printing may no longer show
  2873 the original input but the internal form. Lambda-abstractions allow
  2874 the same form of pattern matching: "% pat1 => e1 | ..." is an
  2875 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  2876 variable.
  2877 
  2878 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  2879 is an abbreviation for "of_nat :: nat => int". The simplification
  2880 rules for "of_nat" have been changed to work like "int" did
  2881 previously.  Potential INCOMPATIBILITY:
  2882   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  2883   - of_nat_diff and of_nat_mult are no longer default simp rules
  2884 
  2885 * Method "algebra" solves polynomial equations over (semi)rings using
  2886 Groebner bases. The (semi)ring structure is defined by locales and the
  2887 tool setup depends on that generic context. Installing the method for
  2888 a specific type involves instantiating the locale and possibly adding
  2889 declarations for computation on the coefficients.  The method is
  2890 already instantiated for natural numbers and for the axiomatic class
  2891 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  2892 CALCULEMUS 2007 for the general principles underlying this
  2893 architecture of context-aware proof-tools.
  2894 
  2895 * Method "ferrack" implements quantifier elimination over
  2896 special-purpose dense linear orders using locales (analogous to
  2897 "algebra"). The method is already installed for class
  2898 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  2899 rat, etc.
  2900 
  2901 * Former constant "List.op @" now named "List.append".  Use ML
  2902 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  2903 circumvent possible incompatibilities when working on ML level.
  2904 
  2905 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  2906 
  2907 * New function listsum :: 'a list => 'a for arbitrary monoids.
  2908 Special syntax: "SUM x <- xs. f x" (and latex variants)
  2909 
  2910 * New syntax for Haskell-like list comprehension (input only), eg.
  2911 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  2912 
  2913 * The special syntax for function "filter" has changed from [x :
  2914 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  2915 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  2916 
  2917 * [a..b] is now defined for arbitrary linear orders.  It used to be
  2918 defined on nat only, as an abbreviation for [a..<Suc b]
  2919 INCOMPATIBILITY.
  2920 
  2921 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  2922 
  2923 * New functions "sorted" and "sort" in src/HOL/List.thy.
  2924 
  2925 * New lemma collection field_simps (an extension of ring_simps) for
  2926 manipulating (in)equations involving division. Multiplies with all
  2927 denominators that can be proved to be non-zero (in equations) or
  2928 positive/negative (in inequations).
  2929 
  2930 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  2931 have been improved and renamed to ring_simps, group_simps and
  2932 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  2933 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  2934 
  2935 * Theory Library/Commutative_Ring: switched from recdef to function
  2936 package; constants add, mul, pow now curried.  Infix syntax for
  2937 algebraic operations.
  2938 
  2939 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  2940 INCOMPATIBILITY.
  2941 
  2942 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  2943 INCOMPATIBILITY.
  2944 
  2945 * HOL/records: generalised field-update to take a function on the
  2946 field rather than the new value: r(|A := x|) is translated to A_update
  2947 (K x) r The K-combinator that is internally used is called K_record.
  2948 INCOMPATIBILITY: Usage of the plain update functions has to be
  2949 adapted.
  2950  
  2951 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  2952 * x = 0, which are required for a semiring.  Richer structures do not
  2953 inherit from semiring_0 anymore, because this property is a theorem
  2954 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  2955 there is more to prove, but this is mostly trivial.
  2956 
  2957 * Class "recpower" is generalized to arbitrary monoids, not just
  2958 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  2959 commutativity or semiring properties additionally.
  2960 
  2961 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  2962 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  2963 better use 'abbreviation'.
  2964 
  2965 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  2966 
  2967 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  2968 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  2969 significant changes for setting up numeral syntax for types:
  2970   - New constants Numeral.pred and Numeral.succ instead
  2971       of former Numeral.bin_pred and Numeral.bin_succ.
  2972   - Use integer operations instead of bin_add, bin_mult and so on.
  2973   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  2974   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  2975 
  2976 See src/HOL/Integ/IntArith.thy for an example setup.
  2977 
  2978 * Command 'normal_form' computes the normal form of a term that may
  2979 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  2980 produces ``[b, c, a]'' (without proof).  This command is suitable for
  2981 heavy-duty computations because the functions are compiled to ML
  2982 first.  Correspondingly, a method "normalization" is provided.  See
  2983 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  2984 
  2985 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  2986 25 like -->); output depends on the "iff" print_mode, the default is
  2987 "A = B" (with priority 50).
  2988 
  2989 * Relations less (<) and less_eq (<=) are also available on type bool.
  2990 Modified syntax to disallow nesting without explicit parentheses,
  2991 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  2992 INCOMPATIBILITY.
  2993 
  2994 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  2995 
  2996 * Relation composition operator "op O" now has precedence 75 and binds
  2997 stronger than union and intersection. INCOMPATIBILITY.
  2998 
  2999 * The old set interval syntax "{m..n(}" (and relatives) has been
  3000 removed.  Use "{m..<n}" (and relatives) instead.
  3001 
  3002 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3003 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3004 ``declare [[simproc del: neq]]''.
  3005 
  3006 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3007 True/False.
  3008 
  3009 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3010 
  3011 * Theorem setsum_mult renamed to setsum_right_distrib.
  3012 
  3013 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3014 ``rule'' method.
  3015 
  3016 * Reimplemented methods "sat" and "satx", with several improvements:
  3017 goals no longer need to be stated as "<prems> ==> False", equivalences
  3018 (i.e. "=" on type bool) are handled, variable names of the form
  3019 "lit_<n>" are no longer reserved, significant speedup.
  3020 
  3021 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3022 zChaff is still supported as well.
  3023 
  3024 * 'inductive' and 'datatype': provide projections of mutual rules,
  3025 bundled as foo_bar.inducts;
  3026 
  3027 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3028 Library.
  3029 
  3030 * Library: moved theory Accessible_Part to main HOL.
  3031 
  3032 * Library: added theory Coinductive_List of potentially infinite lists
  3033 as greatest fixed-point.
  3034 
  3035 * Library: added theory AssocList which implements (finite) maps as
  3036 association lists.
  3037 
  3038 * Method "evaluation" solves goals (i.e. a boolean expression)
  3039 efficiently by compiling it to ML.  The goal is "proved" (via an
  3040 oracle) if it evaluates to True.
  3041 
  3042 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3043 also when invoked by the simplifier.  This results in the Simplifier
  3044 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3045 Configuration option fast_arith_split_limit=0 recovers the old
  3046 behavior.
  3047 
  3048 * Support for hex (0x20) and binary (0b1001) numerals.
  3049 
  3050 * New method: reify eqs (t), where eqs are equations for an
  3051 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  3052 parameter, computes a term s::'b and a list xs::'a list and proves the
  3053 theorem I xs s = t. This is also known as reification or quoting. The
  3054 resulting theorem is applied to the subgoal to substitute t with I xs
  3055 s.  If t is omitted, the subgoal itself is reified.
  3056 
  3057 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  3058 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  3059 where f is supposed to be a computable function (in the sense of code
  3060 generattion). The method uses reify to compute s and xs as above then
  3061 applies corr_thm and uses normalization by evaluation to "prove" f s =
  3062 r and finally gets the theorem t = r, which is again applied to the
  3063 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  3064 
  3065 * Reflection: Automatic reification now handels binding, an example is
  3066 available in src/HOL/ex/ReflectionEx.thy
  3067 
  3068 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  3069 command 'statespace' that is similar to 'record', but introduces an
  3070 abstract specification based on the locale infrastructure instead of
  3071 HOL types.  This leads to extra flexibility in composing state spaces,
  3072 in particular multiple inheritance and renaming of components.
  3073 
  3074 
  3075 *** HOL-Complex ***
  3076 
  3077 * Hyperreal: Functions root and sqrt are now defined on negative real
  3078 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  3079 Nonnegativity side conditions have been removed from many lemmas, so
  3080 that more subgoals may now be solved by simplification; potential
  3081 INCOMPATIBILITY.
  3082 
  3083 * Real: new type classes formalize real normed vector spaces and
  3084 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  3085 and norm :: 'a => real.
  3086 
  3087 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  3088 reals into other types. The overloaded constant Reals :: 'a set is now
  3089 defined as range of_real; potential INCOMPATIBILITY.
  3090 
  3091 * Real: proper support for ML code generation, including 'quickcheck'.
  3092 Reals are implemented as arbitrary precision rationals.
  3093 
  3094 * Hyperreal: Several constants that previously worked only for the
  3095 reals have been generalized, so they now work over arbitrary vector
  3096 spaces. Type annotations may need to be added in some cases; potential
  3097 INCOMPATIBILITY.
  3098 
  3099   Infinitesimal  :: ('a::real_normed_vector) star set
  3100   HFinite        :: ('a::real_normed_vector) star set
  3101   HInfinite      :: ('a::real_normed_vector) star set
  3102   approx         :: ('a::real_normed_vector) star => 'a star => bool
  3103   monad          :: ('a::real_normed_vector) star => 'a star set
  3104   galaxy         :: ('a::real_normed_vector) star => 'a star set
  3105   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  3106   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  3107   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  3108   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  3109   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  3110   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  3111   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  3112   sgn            :: 'a::real_normed_vector => 'a
  3113   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  3114 
  3115 * Complex: Some complex-specific constants are now abbreviations for
  3116 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  3117 hnorm.  Other constants have been entirely removed in favor of the
  3118 polymorphic versions (INCOMPATIBILITY):
  3119 
  3120   approx        <-- capprox
  3121   HFinite       <-- CFinite
  3122   HInfinite     <-- CInfinite
  3123   Infinitesimal <-- CInfinitesimal
  3124   monad         <-- cmonad
  3125   galaxy        <-- cgalaxy
  3126   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  3127   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  3128   (ns)deriv     <-- (ns)cderiv
  3129 
  3130 
  3131 *** HOL-Algebra ***
  3132 
  3133 * Formalisation of ideals and the quotient construction over rings.
  3134 
  3135 * Order and lattice theory no longer based on records.
  3136 INCOMPATIBILITY.
  3137 
  3138 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  3139 greatest_closed.  INCOMPATIBILITY.
  3140 
  3141 * Method algebra is now set up via an attribute.  For examples see
  3142 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  3143 of algebraic structures.
  3144 
  3145 * Renamed theory CRing to Ring.
  3146 
  3147 
  3148 *** HOL-Nominal ***
  3149 
  3150 * Substantial, yet incomplete support for nominal datatypes (binding
  3151 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  3152 src/HOL/Nominal/Examples.  Prospective users should consult
  3153 http://isabelle.in.tum.de/nominal/
  3154 
  3155 
  3156 *** ML ***
  3157 
  3158 * ML basics: just one true type int, which coincides with IntInf.int
  3159 (even on SML/NJ).
  3160 
  3161 * ML within Isar: antiquotations allow to embed statically-checked
  3162 formal entities in the source, referring to the context available at
  3163 compile-time.  For example:
  3164 
  3165 ML {* @{sort "{zero,one}"} *}
  3166 ML {* @{typ "'a => 'b"} *}
  3167 ML {* @{term "%x. x"} *}
  3168 ML {* @{prop "x == y"} *}
  3169 ML {* @{ctyp "'a => 'b"} *}
  3170 ML {* @{cterm "%x. x"} *}
  3171 ML {* @{cprop "x == y"} *}
  3172 ML {* @{thm asm_rl} *}
  3173 ML {* @{thms asm_rl} *}
  3174 ML {* @{type_name c} *}
  3175 ML {* @{type_syntax c} *}
  3176 ML {* @{const_name c} *}
  3177 ML {* @{const_syntax c} *}
  3178 ML {* @{context} *}
  3179 ML {* @{theory} *}
  3180 ML {* @{theory Pure} *}
  3181 ML {* @{theory_ref} *}
  3182 ML {* @{theory_ref Pure} *}
  3183 ML {* @{simpset} *}
  3184 ML {* @{claset} *}
  3185 ML {* @{clasimpset} *}
  3186 
  3187 The same works for sources being ``used'' within an Isar context.
  3188 
  3189 * ML in Isar: improved error reporting; extra verbosity with
  3190 ML_Context.trace enabled.
  3191 
  3192 * Pure/General/table.ML: the join operations now works via exceptions
  3193 DUP/SAME instead of type option. This is simpler in simple cases, and
  3194 admits slightly more efficient complex applications.
  3195 
  3196 * Pure: 'advanced' translation functions (parse_translation etc.) now
  3197 use Context.generic instead of just theory.
  3198 
  3199 * Pure: datatype Context.generic joins theory/Proof.context and
  3200 provides some facilities for code that works in either kind of
  3201 context, notably GenericDataFun for uniform theory and proof data.
  3202 
  3203 * Pure: simplified internal attribute type, which is now always
  3204 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  3205 local (Proof.context) attributes have been discontinued, while
  3206 minimizing code duplication. Thm.rule_attribute and
  3207 Thm.declaration_attribute build canonical attributes; see also structure
  3208 Context for further operations on Context.generic, notably
  3209 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  3210 declarations and definitions.
  3211 
  3212 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  3213 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  3214 init only required for impure data. INCOMPATIBILITY: empty really need
  3215 to be empty (no dependencies on theory content!)
  3216 
  3217 * Pure/kernel: consts certification ignores sort constraints given in
  3218 signature declarations. (This information is not relevant to the
  3219 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  3220 potential INCOMPATIBILITY.
  3221 
  3222 * Pure: axiomatic type classes are now purely definitional, with
  3223 explicit proofs of class axioms and super class relations performed
  3224 internally. See Pure/axclass.ML for the main internal interfaces --
  3225 notably AxClass.define_class supercedes AxClass.add_axclass, and
  3226 AxClass.axiomatize_class/classrel/arity supersede
  3227 Sign.add_classes/classrel/arities.
  3228 
  3229 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  3230 global/local versions on theory vs. Proof.context have been
  3231 discontinued; Attrib.syntax and Method.syntax have been adapted
  3232 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  3233 attributes, methods, etc.
  3234 
  3235 * Pure: several functions of signature "... -> theory -> theory * ..."
  3236 have been reoriented to "... -> theory -> ... * theory" in order to
  3237 allow natural usage in combination with the ||>, ||>>, |-> and
  3238 fold_map combinators.
  3239 
  3240 * Pure: official theorem names (closed derivations) and additional
  3241 comments (tags) are now strictly separate.  Name hints -- which are
  3242 maintained as tags -- may be attached any time without affecting the
  3243 derivation.
  3244 
  3245 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  3246 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  3247 achieve the old behaviour.
  3248 
  3249 * Pure: the "Goal" constant is now called "prop", supporting a
  3250 slightly more general idea of ``protecting'' meta-level rule
  3251 statements.
  3252 
  3253 * Pure: Logic.(un)varify only works in a global context, which is now
  3254 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  3255 Logic.legacy_(un)varify as temporary workaround.
  3256 
  3257 * Pure: structure Name provides scalable operations for generating
  3258 internal variable names, notably Name.variants etc.  This replaces
  3259 some popular functions from term.ML:
  3260 
  3261   Term.variant		->  Name.variant
  3262   Term.variantlist	->  Name.variant_list
  3263   Term.invent_names	->  Name.invent_list
  3264 
  3265 Note that low-level renaming rarely occurs in new code -- operations
  3266 from structure Variable are used instead (see below).
  3267 
  3268 * Pure: structure Variable provides fundamental operations for proper
  3269 treatment of fixed/schematic variables in a context.  For example,
  3270 Variable.import introduces fixes for schematics of given facts and
  3271 Variable.export reverses the effect (up to renaming) -- this replaces
  3272 various freeze_thaw operations.
  3273 
  3274 * Pure: structure Goal provides simple interfaces for
  3275 init/conclude/finish and tactical prove operations (replacing former
  3276 Tactic.prove).  Goal.prove is the canonical way to prove results
  3277 within a given context; Goal.prove_global is a degraded version for
  3278 theory level goals, including a global Drule.standard.  Note that
  3279 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  3280 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  3281 in a locale context).
  3282 
  3283 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  3284 and type checking (Syntax.check_term etc.), with common combinations
  3285 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  3286 which are considered legacy and await removal.
  3287 
  3288 * Pure/Syntax: generic interfaces for type unchecking
  3289 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  3290 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  3291 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  3292 available for convenience, but refer to the very same operations using
  3293 a mere theory instead of a full context.
  3294 
  3295 * Isar: simplified treatment of user-level errors, using exception
  3296 ERROR of string uniformly.  Function error now merely raises ERROR,
  3297 without any side effect on output channels.  The Isar toplevel takes
  3298 care of proper display of ERROR exceptions.  ML code may use plain
  3299 handle/can/try; cat_error may be used to concatenate errors like this:
  3300 
  3301   ... handle ERROR msg => cat_error msg "..."
  3302 
  3303 Toplevel ML code (run directly or through the Isar toplevel) may be
  3304 embedded into the Isar toplevel with exception display/debug like
  3305 this:
  3306 
  3307   Isar.toplevel (fn () => ...)
  3308 
  3309 INCOMPATIBILITY, removed special transform_error facilities, removed
  3310 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  3311 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  3312 -- use plain ERROR instead.
  3313 
  3314 * Isar: theory setup now has type (theory -> theory), instead of a
  3315 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  3316 
  3317 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  3318 ProofContext.debug/verbose flags.
  3319 
  3320 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  3321 theory before entering a proof state.  Transactions now always see a
  3322 quasi-functional intermediate checkpoint, both in interactive and
  3323 batch mode.
  3324 
  3325 * Isar: simplified interfaces for outer syntax.  Renamed
  3326 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  3327 OuterSyntax.add_parsers -- this functionality is now included in
  3328 OuterSyntax.command etc.  INCOMPATIBILITY.
  3329 
  3330 * Simplifier: the simpset of a running simplification process now
  3331 contains a proof context (cf. Simplifier.the_context), which is the
  3332 very context that the initial simpset has been retrieved from (by
  3333 simpset_of/local_simpset_of).  Consequently, all plug-in components
  3334 (solver, looper etc.) may depend on arbitrary proof data.
  3335 
  3336 * Simplifier.inherit_context inherits the proof context (plus the
  3337 local bounds) of the current simplification process; any simproc
  3338 etc. that calls the Simplifier recursively should do this!  Removed
  3339 former Simplifier.inherit_bounds, which is already included here --
  3340 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  3341 specify an explicit context using Simplifier.context/theory_context.
  3342 
  3343 * Simplifier/Classical Reasoner: more abstract interfaces
  3344 change_simpset/claset for modifying the simpset/claset reference of a
  3345 theory; raw versions simpset/claset_ref etc. have been discontinued --
  3346 INCOMPATIBILITY.
  3347 
  3348 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  3349 "Trueprop" etc.
  3350 
  3351 
  3352 *** System ***
  3353 
  3354 * settings: the default heap location within ISABELLE_HOME_USER now
  3355 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  3356 Isabelle installations.
  3357 
  3358 * isabelle-process: option -S (secure mode) disables some critical
  3359 operations, notably runtime compilation and evaluation of ML source
  3360 code.
  3361 
  3362 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  3363 
  3364 * Support for parallel execution, using native multicore support of
  3365 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  3366 independent theories, according to the given theory header
  3367 specifications. The maximum number of worker threads is specified via
  3368 usedir option -M or the "max-threads" setting in Proof General. A
  3369 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  3370 to 6 on a 8-core machine.  User-code needs to observe certain
  3371 guidelines for thread-safe programming, see appendix A in the Isar
  3372 Implementation manual.
  3373 
  3374 
  3375 
  3376 New in Isabelle2005 (October 2005)
  3377 ----------------------------------
  3378 
  3379 *** General ***
  3380 
  3381 * Theory headers: the new header syntax for Isar theories is
  3382 
  3383   theory <name>
  3384   imports <theory1> ... <theoryN>
  3385   uses <file1> ... <fileM>
  3386   begin
  3387 
  3388 where the 'uses' part is optional.  The previous syntax
  3389 
  3390   theory <name> = <theory1> + ... + <theoryN>:
  3391 
  3392 will disappear in the next release.  Use isatool fixheaders to convert
  3393 existing theory files.  Note that there is no change in ancient
  3394 non-Isar theories now, but these will disappear soon.
  3395 
  3396 * Theory loader: parent theories can now also be referred to via
  3397 relative and absolute paths.
  3398 
  3399 * Command 'find_theorems' searches for a list of criteria instead of a
  3400 list of constants. Known criteria are: intro, elim, dest, name:string,
  3401 simp:term, and any term. Criteria can be preceded by '-' to select
  3402 theorems that do not match. Intro, elim, dest select theorems that
  3403 match the current goal, name:s selects theorems whose fully qualified
  3404 name contain s, and simp:term selects all simplification rules whose
  3405 lhs match term.  Any other term is interpreted as pattern and selects
  3406 all theorems matching the pattern. Available in ProofGeneral under
  3407 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  3408 
  3409   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  3410 
  3411 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  3412 matching the current goal as introduction rule and not having "HOL."
  3413 in their name (i.e. not being defined in theory HOL).
  3414 
  3415 * Command 'thms_containing' has been discontinued in favour of
  3416 'find_theorems'; INCOMPATIBILITY.
  3417 
  3418 * Communication with Proof General is now 8bit clean, which means that
  3419 Unicode text in UTF-8 encoding may be used within theory texts (both
  3420 formal and informal parts).  Cf. option -U of the Isabelle Proof
  3421 General interface.  Here are some simple examples (cf. src/HOL/ex):
  3422 
  3423   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  3424   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  3425 
  3426 * Improved efficiency of the Simplifier and, to a lesser degree, the
  3427 Classical Reasoner.  Typical big applications run around 2 times
  3428 faster.
  3429 
  3430 
  3431 *** Document preparation ***
  3432 
  3433 * Commands 'display_drafts' and 'print_drafts' perform simple output
  3434 of raw sources.  Only those symbols that do not require additional
  3435 LaTeX packages (depending on comments in isabellesym.sty) are
  3436 displayed properly, everything else is left verbatim.  isatool display
  3437 and isatool print are used as front ends (these are subject to the
  3438 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  3439 
  3440 * Command tags control specific markup of certain regions of text,
  3441 notably folding and hiding.  Predefined tags include "theory" (for
  3442 theory begin and end), "proof" for proof commands, and "ML" for
  3443 commands involving ML code; the additional tags "visible" and
  3444 "invisible" are unused by default.  Users may give explicit tag
  3445 specifications in the text, e.g. ''by %invisible (auto)''.  The
  3446 interpretation of tags is determined by the LaTeX job during document
  3447 preparation: see option -V of isatool usedir, or options -n and -t of
  3448 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  3449 \isadroptag.
  3450 
  3451 Several document versions may be produced at the same time via isatool
  3452 usedir (the generated index.html will link all of them).  Typical
  3453 specifications include ''-V document=theory,proof,ML'' to present
  3454 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  3455 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  3456 these parts without any formal replacement text.  The Isabelle site
  3457 default settings produce ''document'' and ''outline'' versions as
  3458 specified above.
  3459 
  3460 * Several new antiquotations:
  3461 
  3462   @{term_type term} prints a term with its type annotated;
  3463 
  3464   @{typeof term} prints the type of a term;
  3465 
  3466   @{const const} is the same as @{term const}, but checks that the
  3467   argument is a known logical constant;
  3468 
  3469   @{term_style style term} and @{thm_style style thm} print a term or
  3470   theorem applying a "style" to it
  3471 
  3472   @{ML text}
  3473 
  3474 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  3475 definitions, equations, inequations etc., 'concl' printing only the
  3476 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  3477 to print the specified premise.  TermStyle.add_style provides an ML
  3478 interface for introducing further styles.  See also the "LaTeX Sugar"
  3479 document practical applications.  The ML antiquotation prints
  3480 type-checked ML expressions verbatim.
  3481 
  3482 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  3483 and 'text' support optional locale specification '(in loc)', which
  3484 specifies the default context for interpreting antiquotations.  For
  3485 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  3486 
  3487 * Option 'locale=NAME' of antiquotations specifies an alternative
  3488 context interpreting the subsequent argument.  For example: @{thm
  3489 [locale=lattice] inf_assoc}.
  3490 
  3491 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  3492 a proof context.
  3493 
  3494 * Proper output of antiquotations for theory commands involving a
  3495 proof context (such as 'locale' or 'theorem (in loc) ...').
  3496 
  3497 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  3498 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  3499 
  3500 * isatool usedir: new option -C (default true) controls whether option
  3501 -D should include a copy of the original document directory; -C false
  3502 prevents unwanted effects such as copying of administrative CVS data.
  3503 
  3504 
  3505 *** Pure ***
  3506 
  3507 * Considerably improved version of 'constdefs' command.  Now performs
  3508 automatic type-inference of declared constants; additional support for
  3509 local structure declarations (cf. locales and HOL records), see also
  3510 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  3511 sequential dependencies of definitions within a single 'constdefs'
  3512 section; moreover, the declared name needs to be an identifier.  If
  3513 all fails, consider to fall back on 'consts' and 'defs' separately.
  3514 
  3515 * Improved indexed syntax and implicit structures.  First of all,
  3516 indexed syntax provides a notational device for subscripted
  3517 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  3518 expressions.  Secondly, in a local context with structure
  3519 declarations, number indexes \<^sub>n or the empty index (default
  3520 number 1) refer to a certain fixed variable implicitly; option
  3521 show_structs controls printing of implicit structures.  Typical
  3522 applications of these concepts involve record types and locales.
  3523 
  3524 * New command 'no_syntax' removes grammar declarations (and
  3525 translations) resulting from the given syntax specification, which is
  3526 interpreted in the same manner as for the 'syntax' command.
  3527 
  3528 * 'Advanced' translation functions (parse_translation etc.) may depend
  3529 on the signature of the theory context being presently used for
  3530 parsing/printing, see also isar-ref manual.
  3531 
  3532 * Improved 'oracle' command provides a type-safe interface to turn an
  3533 ML expression of type theory -> T -> term into a primitive rule of
  3534 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  3535 is already included here); see also FOL/ex/IffExample.thy;
  3536 INCOMPATIBILITY.
  3537 
  3538 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  3539 before); "cI" is no longer bound, use "c.intro" instead.
  3540 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  3541 axclasses vs. locales.
  3542 
  3543 * Improved internal renaming of symbolic identifiers -- attach primes
  3544 instead of base 26 numbers.
  3545 
  3546 * New flag show_question_marks controls printing of leading question
  3547 marks in schematic variable names.
  3548 
  3549 * In schematic variable names, *any* symbol following \<^isub> or
  3550 \<^isup> is now treated as part of the base name.  For example, the
  3551 following works without printing of awkward ".0" indexes:
  3552 
  3553   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  3554     by simp
  3555 
  3556 * Inner syntax includes (*(*nested*) comments*).
  3557 
  3558 * Pretty printer now supports unbreakable blocks, specified in mixfix
  3559 annotations as "(00...)".
  3560 
  3561 * Clear separation of logical types and nonterminals, where the latter
  3562 may only occur in 'syntax' specifications or type abbreviations.
  3563 Before that distinction was only partially implemented via type class
  3564 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  3565 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  3566 exotic syntax specifications may require further adaption
  3567 (e.g. Cube/Cube.thy).
  3568 
  3569 * Removed obsolete type class "logic", use the top sort {} instead.
  3570 Note that non-logical types should be declared as 'nonterminals'
  3571 rather than 'types'.  INCOMPATIBILITY for new object-logic
  3572 specifications.
  3573 
  3574 * Attributes 'induct' and 'cases': type or set names may now be
  3575 locally fixed variables as well.
  3576 
  3577 * Simplifier: can now control the depth to which conditional rewriting
  3578 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  3579 Limit.
  3580 
  3581 * Simplifier: simplification procedures may now take the current
  3582 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  3583 interface), which is very useful for calling the Simplifier
  3584 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  3585 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  3586 low-level mk_simproc no longer applies Logic.varify internally, to
  3587 allow for use in a context of fixed variables.
  3588 
  3589 * thin_tac now works even if the assumption being deleted contains !!
  3590 or ==>.  More generally, erule now works even if the major premise of
  3591 the elimination rule contains !! or ==>.
  3592 
  3593 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  3594 
  3595 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  3596 from Pure, which contains all common declarations already.  Both
  3597 theories are defined via plain Isabelle/Isar .thy files.
  3598 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  3599 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  3600 use isatool fixcpure to adapt your theory and ML sources.
  3601 
  3602 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  3603 selections of theorems in named facts via index ranges.
  3604 
  3605 * 'print_theorems': in theory mode, really print the difference
  3606 wrt. the last state (works for interactive theory development only),
  3607 in proof mode print all local facts (cf. 'print_facts');
  3608 
  3609 * 'hide': option '(open)' hides only base names.
  3610 
  3611 * More efficient treatment of intermediate checkpoints in interactive
  3612 theory development.
  3613 
  3614 * Code generator is now invoked via code_module (incremental code
  3615 generation) and code_library (modular code generation, ML structures
  3616 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  3617 must be quoted when used as identifiers.
  3618 
  3619 * New 'value' command for reading, evaluating and printing terms using
  3620 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  3621 quoted when used as identifier.
  3622 
  3623 
  3624 *** Locales ***
  3625 
  3626 * New commands for the interpretation of locale expressions in
  3627 theories (1), locales (2) and proof contexts (3).  These generate
  3628 proof obligations from the expression specification.  After the
  3629 obligations have been discharged, theorems of the expression are added
  3630 to the theory, target locale or proof context.  The synopsis of the
  3631 commands is a follows:
  3632 
  3633   (1) interpretation expr inst
  3634   (2) interpretation target < expr
  3635   (3) interpret expr inst
  3636 
  3637 Interpretation in theories and proof contexts require a parameter
  3638 instantiation of terms from the current context.  This is applied to
  3639 specifications and theorems of the interpreted expression.
  3640 Interpretation in locales only permits parameter renaming through the
  3641 locale expression.  Interpretation is smart in that interpretations
  3642 that are active already do not occur in proof obligations, neither are
  3643 instantiated theorems stored in duplicate.  Use 'print_interps' to
  3644 inspect active interpretations of a particular locale.  For details,
  3645 see the Isar Reference manual.  Examples can be found in
  3646 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  3647 
  3648 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  3649 'interpret' instead.
  3650 
  3651 * New context element 'constrains' for adding type constraints to
  3652 parameters.
  3653 
  3654 * Context expressions: renaming of parameters with syntax
  3655 redeclaration.
  3656 
  3657 * Locale declaration: 'includes' disallowed.
  3658 
  3659 * Proper static binding of attribute syntax -- i.e. types / terms /
  3660 facts mentioned as arguments are always those of the locale definition
  3661 context, independently of the context of later invocations.  Moreover,
  3662 locale operations (renaming and type / term instantiation) are applied
  3663 to attribute arguments as expected.
  3664 
  3665 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  3666 actual attributes; rare situations may require Attrib.attribute to
  3667 embed those attributes into Attrib.src that lack concrete syntax.
  3668 Attribute implementations need to cooperate properly with the static
  3669 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  3670 Attrib.XXX_thm etc. already do the right thing without further
  3671 intervention.  Only unusual applications -- such as "where" or "of"
  3672 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  3673 on the context and the facts involved -- may have to assign parsed
  3674 values to argument tokens explicitly.
  3675 
  3676 * Changed parameter management in theorem generation for long goal
  3677 statements with 'includes'.  INCOMPATIBILITY: produces a different
  3678 theorem statement in rare situations.
  3679 
  3680 * Locale inspection command 'print_locale' omits notes elements.  Use
  3681 'print_locale!' to have them included in the output.
  3682 
  3683 
  3684 *** Provers ***
  3685 
  3686 * Provers/hypsubst.ML: improved version of the subst method, for
  3687 single-step rewriting: it now works in bound variable contexts. New is
  3688 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  3689 rewrite a different subterm than the original subst method, which is
  3690 still available as 'simplesubst'.
  3691 
  3692 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  3693 and quasi orders.
  3694 
  3695 * Provers/trancl.ML: new transitivity reasoner for transitive and
  3696 reflexive-transitive closure of relations.
  3697 
  3698 * Provers/blast.ML: new reference depth_limit to make blast's depth
  3699 limit (previously hard-coded with a value of 20) user-definable.
  3700 
  3701 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  3702 is peformed already.  Object-logics merely need to finish their
  3703 initial simpset configuration as before.  INCOMPATIBILITY.
  3704 
  3705 
  3706 *** HOL ***
  3707 
  3708 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  3709 
  3710   syntax (epsilon)
  3711     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  3712 
  3713 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  3714 and x-symbol; use option '-m epsilon' to get it actually printed.
  3715 Moreover, the mathematically important symbolic identifier \<epsilon>
  3716 becomes available as variable, constant etc.  INCOMPATIBILITY,
  3717 
  3718 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  3719 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  3720 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  3721 support corresponding Isar calculations.
  3722 
  3723 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  3724 instead of ":".
  3725 
  3726 * theory SetInterval: changed the syntax for open intervals:
  3727 
  3728   Old       New
  3729   {..n(}    {..<n}
  3730   {)n..}    {n<..}
  3731   {m..n(}   {m..<n}
  3732   {)m..n}   {m<..n}
  3733   {)m..n(}  {m<..<n}
  3734 
  3735 The old syntax is still supported but will disappear in the next
  3736 release.  For conversion use the following Emacs search and replace
  3737 patterns (these are not perfect but work quite well):
  3738 
  3739   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  3740   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  3741 
  3742 * Theory Commutative_Ring (in Library): method comm_ring for proving
  3743 equalities in commutative rings; method 'algebra' provides a generic
  3744 interface.
  3745 
  3746 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  3747 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  3748 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  3749 be a tuple pattern.
  3750 
  3751 Some new syntax forms are available:
  3752 
  3753   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  3754   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  3755   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  3756   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  3757 
  3758 The latter form "\<Sum>x < k. e" used to be based on a separate
  3759 function "Summation", which has been discontinued.
  3760 
  3761 * theory Finite_Set: in structured induction proofs, the insert case
  3762 is now 'case (insert x F)' instead of the old counterintuitive 'case
  3763 (insert F x)'.
  3764 
  3765 * The 'refute' command has been extended to support a much larger
  3766 fragment of HOL, including axiomatic type classes, constdefs and
  3767 typedefs, inductive datatypes and recursion.
  3768 
  3769 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  3770 Requires zChaff with proof generation to be installed.  See
  3771 HOL/ex/SAT_Examples.thy for examples.
  3772 
  3773 * Datatype induction via method 'induct' now preserves the name of the
  3774 induction variable. For example, when proving P(xs::'a list) by
  3775 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  3776 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  3777 in unstructured proof scripts.
  3778 
  3779 * Reworked implementation of records.  Improved scalability for
  3780 records with many fields, avoiding performance problems for type
  3781 inference. Records are no longer composed of nested field types, but
  3782 of nested extension types. Therefore the record type only grows linear
  3783 in the number of extensions and not in the number of fields.  The
  3784 top-level (users) view on records is preserved.  Potential
  3785 INCOMPATIBILITY only in strange cases, where the theory depends on the
  3786 old record representation. The type generated for a record is called
  3787 <record_name>_ext_type.
  3788 
  3789 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  3790 proofs triggered by a record definition or a simproc (if
  3791 quick_and_dirty is enabled).  Definitions of large records can take
  3792 quite long.
  3793 
  3794 New simproc record_upd_simproc for simplification of multiple record
  3795 updates enabled by default.  Moreover, trivial updates are also
  3796 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  3797 occasionally, since simplification is more powerful by default.
  3798 
  3799 * typedef: proper support for polymorphic sets, which contain extra
  3800 type-variables in the term.
  3801 
  3802 * Simplifier: automatically reasons about transitivity chains
  3803 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  3804 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  3805 old proofs break occasionally as simplification may now solve more
  3806 goals than previously.
  3807 
  3808 * Simplifier: converts x <= y into x = y if assumption y <= x is
  3809 present.  Works for all partial orders (class "order"), in particular
  3810 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  3811 just like y <= x.
  3812 
  3813 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  3814 bound variable or a constant then the let is unfolded.  Otherwise
  3815 first a is simplified to b, and then f b is simplified to g. If
  3816 possible we abstract b from g arriving at "let x = b in h x",
  3817 otherwise we unfold the let and arrive at g.  The simproc can be
  3818 enabled/disabled by the reference use_let_simproc.  Potential
  3819 INCOMPATIBILITY since simplification is more powerful by default.
  3820 
  3821 * Classical reasoning: the meson method now accepts theorems as arguments.
  3822 
  3823 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  3824 jobs to provide advice on the provability of subgoals.
  3825 
  3826 * Theory OrderedGroup and Ring_and_Field: various additions and
  3827 improvements to faciliate calculations involving equalities and
  3828 inequalities.
  3829 
  3830 The following theorems have been eliminated or modified
  3831 (INCOMPATIBILITY):
  3832 
  3833   abs_eq             now named abs_of_nonneg
  3834   abs_of_ge_0        now named abs_of_nonneg
  3835   abs_minus_eq       now named abs_of_nonpos
  3836   imp_abs_id         now named abs_of_nonneg
  3837   imp_abs_neg_id     now named abs_of_nonpos
  3838   mult_pos           now named mult_pos_pos
  3839   mult_pos_le        now named mult_nonneg_nonneg
  3840   mult_pos_neg_le    now named mult_nonneg_nonpos
  3841   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  3842   mult_neg           now named mult_neg_neg
  3843   mult_neg_le        now named mult_nonpos_nonpos
  3844 
  3845 * The following lemmas in Ring_and_Field have been added to the simplifier:
  3846      
  3847      zero_le_square
  3848      not_square_less_zero 
  3849 
  3850   The following lemmas have been deleted from Real/RealPow:
  3851   
  3852      realpow_zero_zero
  3853      realpow_two
  3854      realpow_less
  3855      zero_le_power
  3856      realpow_two_le
  3857      abs_realpow_two
  3858      realpow_two_abs     
  3859 
  3860 * Theory Parity: added rules for simplifying exponents.
  3861 
  3862 * Theory List:
  3863 
  3864 The following theorems have been eliminated or modified
  3865 (INCOMPATIBILITY):
  3866 
  3867   list_all_Nil       now named list_all.simps(1)
  3868   list_all_Cons      now named list_all.simps(2)
  3869   list_all_conv      now named list_all_iff
  3870   set_mem_eq         now named mem_iff
  3871 
  3872 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  3873 asymptotic "big O" calculations.  See the notes in BigO.thy.
  3874 
  3875 
  3876 *** HOL-Complex ***
  3877 
  3878 * Theory RealDef: better support for embedding natural numbers and
  3879 integers in the reals.
  3880 
  3881 The following theorems have been eliminated or modified
  3882 (INCOMPATIBILITY):
  3883 
  3884   exp_ge_add_one_self  now requires no hypotheses
  3885   real_of_int_add      reversed direction of equality (use [symmetric])
  3886   real_of_int_minus    reversed direction of equality (use [symmetric])
  3887   real_of_int_diff     reversed direction of equality (use [symmetric])
  3888   real_of_int_mult     reversed direction of equality (use [symmetric])
  3889 
  3890 * Theory RComplete: expanded support for floor and ceiling functions.
  3891 
  3892 * Theory Ln is new, with properties of the natural logarithm
  3893 
  3894 * Hyperreal: There is a new type constructor "star" for making
  3895 nonstandard types.  The old type names are now type synonyms:
  3896 
  3897   hypreal = real star
  3898   hypnat = nat star
  3899   hcomplex = complex star
  3900 
  3901 * Hyperreal: Many groups of similarly-defined constants have been
  3902 replaced by polymorphic versions (INCOMPATIBILITY):
  3903 
  3904   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  3905 
  3906   starset      <-- starsetNat, starsetC
  3907   *s*          <-- *sNat*, *sc*
  3908   starset_n    <-- starsetNat_n, starsetC_n
  3909   *sn*         <-- *sNatn*, *scn*
  3910   InternalSets <-- InternalNatSets, InternalCSets
  3911 
  3912   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  3913   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  3914   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  3915   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  3916   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  3917 
  3918 * Hyperreal: Many type-specific theorems have been removed in favor of
  3919 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  3920 
  3921   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  3922   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  3923   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  3924   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  3925   right_minus <-- hypreal_add_minus
  3926   left_minus <-- {hypreal,hcomplex}_add_minus_left
  3927   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  3928   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  3929   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  3930   mult_1_right <-- hcomplex_mult_one_right
  3931   mult_zero_left <-- hcomplex_mult_zero_left
  3932   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  3933   right_distrib <-- hypnat_add_mult_distrib2
  3934   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  3935   right_inverse <-- hypreal_mult_inverse
  3936   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  3937   order_refl <-- {hypreal,hypnat}_le_refl
  3938   order_trans <-- {hypreal,hypnat}_le_trans
  3939   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  3940   order_less_le <-- {hypreal,hypnat}_less_le
  3941   linorder_linear <-- {hypreal,hypnat}_le_linear
  3942   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  3943   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  3944   add_nonneg_nonneg <-- hypreal_le_add_order
  3945 
  3946 * Hyperreal: Separate theorems having to do with type-specific
  3947 versions of constants have been merged into theorems that apply to the
  3948 new polymorphic constants (INCOMPATIBILITY):
  3949 
  3950   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  3951   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  3952   STAR_Un <-- {STAR,NatStar,STARC}_Un
  3953   STAR_Int <-- {STAR,NatStar,STARC}_Int
  3954   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  3955   STAR_subset <-- {STAR,NatStar,STARC}_subset
  3956   STAR_mem <-- {STAR,NatStar,STARC}_mem
  3957   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  3958   STAR_diff <-- {STAR,STARC}_diff
  3959   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  3960     STARC_hcomplex_of_complex}_image_subset
  3961   starset_n_Un <-- starset{Nat,C}_n_Un
  3962   starset_n_Int <-- starset{Nat,C}_n_Int
  3963   starset_n_Compl <-- starset{Nat,C}_n_Compl
  3964   starset_n_diff <-- starset{Nat,C}_n_diff
  3965   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  3966   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  3967   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  3968   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  3969   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  3970   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  3971   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  3972   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  3973   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  3974   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  3975   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  3976   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  3977   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  3978   starfun_diff <-- starfun{C,RC,CR}_diff
  3979   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  3980   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  3981   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  3982   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  3983   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  3984   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  3985   starfun_Id <-- starfunC_Id
  3986   starfun_approx <-- starfun{Nat,CR}_approx
  3987   starfun_capprox <-- starfun{C,RC}_capprox
  3988   starfun_abs <-- starfunNat_rabs
  3989   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  3990   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  3991   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  3992   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  3993   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  3994   starfun_add_approx <-- starfunCR_add_approx
  3995   starfun_inverse_inverse <-- starfunC_inverse_inverse
  3996   starfun_divide <-- starfun{C,CR,RC}_divide
  3997   starfun_n <-- starfun{Nat,C}_n
  3998   starfun_n_mult <-- starfun{Nat,C}_n_mult
  3999   starfun_n_add <-- starfun{Nat,C}_n_add
  4000   starfun_n_add_minus <-- starfunNat_n_add_minus
  4001   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4002   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4003   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4004 
  4005   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4006   star_n_minus <-- {hypreal,hcomplex}_minus
  4007   star_n_diff <-- {hypreal,hcomplex}_diff
  4008   star_n_mult <-- {hypreal,hcomplex}_mult
  4009   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4010   star_n_le <-- {hypreal,hypnat}_le
  4011   star_n_less <-- {hypreal,hypnat}_less
  4012   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4013   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4014   star_n_abs <-- hypreal_hrabs
  4015   star_n_divide <-- hcomplex_divide
  4016 
  4017   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4018   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4019   star_of_diff <-- hypreal_of_real_diff
  4020   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4021   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4022   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4023   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4024   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4025   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4026   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4027   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4028   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4029   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4030   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4031   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4032   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4033   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4034   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4035   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4036   star_of_power <-- hypreal_of_real_power
  4037   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4038 
  4039 * Hyperreal: new method "transfer" that implements the transfer
  4040 principle of nonstandard analysis. With a subgoal that mentions
  4041 nonstandard types like "'a star", the command "apply transfer"
  4042 replaces it with an equivalent one that mentions only standard types.
  4043 To be successful, all free variables must have standard types; non-
  4044 standard variables must have explicit universal quantifiers.
  4045 
  4046 * Hyperreal: A theory of Taylor series.
  4047 
  4048 
  4049 *** HOLCF ***
  4050 
  4051 * Discontinued special version of 'constdefs' (which used to support
  4052 continuous functions) in favor of the general Pure one with full
  4053 type-inference.
  4054 
  4055 * New simplification procedure for solving continuity conditions; it
  4056 is much faster on terms with many nested lambda abstractions (cubic
  4057 instead of exponential time).
  4058 
  4059 * New syntax for domain package: selector names are now optional.
  4060 Parentheses should be omitted unless argument is lazy, for example:
  4061 
  4062   domain 'a stream = cons "'a" (lazy "'a stream")
  4063 
  4064 * New command 'fixrec' for defining recursive functions with pattern
  4065 matching; defining multiple functions with mutual recursion is also
  4066 supported.  Patterns may include the constants cpair, spair, up, sinl,
  4067 sinr, or any data constructor defined by the domain package. The given
  4068 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  4069 syntax and examples.
  4070 
  4071 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  4072 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  4073 but the proof obligation additionally includes an admissibility
  4074 requirement. The packages generate instances of class cpo or pcpo,
  4075 with continuity and strictness theorems for Rep and Abs.
  4076 
  4077 * HOLCF: Many theorems have been renamed according to a more standard naming
  4078 scheme (INCOMPATIBILITY):
  4079 
  4080   foo_inject:  "foo$x = foo$y ==> x = y"
  4081   foo_eq:      "(foo$x = foo$y) = (x = y)"
  4082   foo_less:    "(foo$x << foo$y) = (x << y)"
  4083   foo_strict:  "foo$UU = UU"
  4084   foo_defined: "... ==> foo$x ~= UU"
  4085   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  4086 
  4087 
  4088 *** ZF ***
  4089 
  4090 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  4091 including the First Isomorphism Theorem (on quotienting by the kernel
  4092 of a homomorphism).
  4093 
  4094 * ZF/Simplifier: install second copy of type solver that actually
  4095 makes use of TC rules declared to Isar proof contexts (or locales);
  4096 the old version is still required for ML proof scripts.
  4097 
  4098 
  4099 *** Cube ***
  4100 
  4101 * Converted to Isar theory format; use locales instead of axiomatic
  4102 theories.
  4103 
  4104 
  4105 *** ML ***
  4106 
  4107 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  4108 for ||>, ||>>, |>>,
  4109 
  4110 * Pure/library.ML no longer defines its own option datatype, but uses
  4111 that of the SML basis, which has constructors NONE and SOME instead of
  4112 None and Some, as well as exception Option.Option instead of OPTION.
  4113 The functions the, if_none, is_some, is_none have been adapted
  4114 accordingly, while Option.map replaces apsome.
  4115 
  4116 * Pure/library.ML: the exception LIST has been given up in favour of
  4117 the standard exceptions Empty and Subscript, as well as
  4118 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  4119 superceded by the standard hd and tl functions etc.
  4120 
  4121 A number of basic list functions are no longer exported to the ML
  4122 toplevel, as they are variants of predefined functions.  The following
  4123 suggests how one can translate existing code:
  4124 
  4125     rev_append xs ys = List.revAppend (xs, ys)
  4126     nth_elem (i, xs) = List.nth (xs, i)
  4127     last_elem xs = List.last xs
  4128     flat xss = List.concat xss
  4129     seq fs = List.app fs
  4130     partition P xs = List.partition P xs
  4131     mapfilter f xs = List.mapPartial f xs
  4132 
  4133 * Pure/library.ML: several combinators for linear functional
  4134 transformations, notably reverse application and composition:
  4135 
  4136   x |> f                f #> g
  4137   (x, y) |-> f          f #-> g
  4138 
  4139 * Pure/library.ML: introduced/changed precedence of infix operators:
  4140 
  4141   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  4142   infix 2 ?;
  4143   infix 3 o oo ooo oooo;
  4144   infix 4 ~~ upto downto;
  4145 
  4146 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  4147 infix operators.
  4148 
  4149 * Pure/library.ML: natural list combinators fold, fold_rev, and
  4150 fold_map support linear functional transformations and nesting.  For
  4151 example:
  4152 
  4153   fold f [x1, ..., xN] y =
  4154     y |> f x1 |> ... |> f xN
  4155 
  4156   (fold o fold) f [xs1, ..., xsN] y =
  4157     y |> fold f xs1 |> ... |> fold f xsN
  4158 
  4159   fold f [x1, ..., xN] =
  4160     f x1 #> ... #> f xN
  4161 
  4162   (fold o fold) f [xs1, ..., xsN] =
  4163     fold f xs1 #> ... #> fold f xsN
  4164 
  4165 * Pure/library.ML: the following selectors on type 'a option are
  4166 available:
  4167 
  4168   the:               'a option -> 'a  (*partial*)
  4169   these:             'a option -> 'a  where 'a = 'b list
  4170   the_default: 'a -> 'a option -> 'a
  4171   the_list:          'a option -> 'a list
  4172 
  4173 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4174 basic operations for association lists, following natural argument
  4175 order; moreover the explicit equality predicate passed here avoids
  4176 potentially expensive polymorphic runtime equality checks.
  4177 The old functions may be expressed as follows:
  4178 
  4179   assoc = uncurry (AList.lookup (op =))
  4180   assocs = these oo AList.lookup (op =)
  4181   overwrite = uncurry (AList.update (op =)) o swap
  4182 
  4183 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4184 
  4185   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  4186   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  4187 
  4188 replacing make_keylist and keyfilter (occassionally used)
  4189 Naive rewrites:
  4190 
  4191   make_keylist = AList.make
  4192   keyfilter = AList.find (op =)
  4193 
  4194 * eq_fst and eq_snd now take explicit equality parameter, thus
  4195   avoiding eqtypes. Naive rewrites:
  4196 
  4197     eq_fst = eq_fst (op =)
  4198     eq_snd = eq_snd (op =)
  4199 
  4200 * Removed deprecated apl and apr (rarely used).
  4201   Naive rewrites:
  4202 
  4203     apl (n, op) =>>= curry op n
  4204     apr (op, m) =>>= fn n => op (n, m)
  4205 
  4206 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  4207 provides a reasonably efficient light-weight implementation of sets as
  4208 lists.
  4209 
  4210 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  4211 few new operations; existing lookup and update are now curried to
  4212 follow natural argument order (for use with fold etc.);
  4213 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  4214 
  4215 * Pure/General: output via the Isabelle channels of
  4216 writeln/warning/error etc. is now passed through Output.output, with a
  4217 hook for arbitrary transformations depending on the print_mode
  4218 (cf. Output.add_mode -- the first active mode that provides a output
  4219 function wins).  Already formatted output may be embedded into further
  4220 text via Output.raw; the result of Pretty.string_of/str_of and derived
  4221 functions (string_of_term/cterm/thm etc.) is already marked raw to
  4222 accommodate easy composition of diagnostic messages etc.  Programmers
  4223 rarely need to care about Output.output or Output.raw at all, with
  4224 some notable exceptions: Output.output is required when bypassing the
  4225 standard channels (writeln etc.), or in token translations to produce
  4226 properly formatted results; Output.raw is required when capturing
  4227 already output material that will eventually be presented to the user
  4228 a second time.  For the default print mode, both Output.output and
  4229 Output.raw have no effect.
  4230 
  4231 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  4232 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  4233 cumulative results are displayed at the end of a batch session.
  4234 
  4235 * Pure/General: File.sysify_path and File.quote_sysify path have been
  4236 replaced by File.platform_path and File.shell_path (with appropriate
  4237 hooks).  This provides a clean interface for unusual systems where the
  4238 internal and external process view of file names are different.
  4239 
  4240 * Pure: more efficient orders for basic syntactic entities: added
  4241 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  4242 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  4243 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  4244 orders now -- potential INCOMPATIBILITY for code that depends on a
  4245 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  4246 Library.sort_strings on result).
  4247 
  4248 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  4249 fold_types traverse types/terms from left to right, observing natural
  4250 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  4251 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  4252 
  4253 * Pure: name spaces have been refined, with significant changes of the
  4254 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  4255 to extern(_table).  The plain name entry path is superceded by a
  4256 general 'naming' context, which also includes the 'policy' to produce
  4257 a fully qualified name and external accesses of a fully qualified
  4258 name; NameSpace.extend is superceded by context dependent
  4259 Sign.declare_name.  Several theory and proof context operations modify
  4260 the naming context.  Especially note Theory.restore_naming and
  4261 ProofContext.restore_naming to get back to a sane state; note that
  4262 Theory.add_path is no longer sufficient to recover from
  4263 Theory.absolute_path in particular.
  4264 
  4265 * Pure: new flags short_names (default false) and unique_names
  4266 (default true) for controlling output of qualified names.  If
  4267 short_names is set, names are printed unqualified.  If unique_names is
  4268 reset, the name prefix is reduced to the minimum required to achieve
  4269 the original result when interning again, even if there is an overlap
  4270 with earlier declarations.
  4271 
  4272 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  4273 now 'extend', and 'merge' gets an additional Pretty.pp argument
  4274 (useful for printing error messages).  INCOMPATIBILITY.
  4275 
  4276 * Pure: major reorganization of the theory context.  Type Sign.sg and
  4277 Theory.theory are now identified, referring to the universal
  4278 Context.theory (see Pure/context.ML).  Actual signature and theory
  4279 content is managed as theory data.  The old code and interfaces were
  4280 spread over many files and structures; the new arrangement introduces
  4281 considerable INCOMPATIBILITY to gain more clarity:
  4282 
  4283   Context -- theory management operations (name, identity, inclusion,
  4284     parents, ancestors, merge, etc.), plus generic theory data;
  4285 
  4286   Sign -- logical signature and syntax operations (declaring consts,
  4287     types, etc.), plus certify/read for common entities;
  4288 
  4289   Theory -- logical theory operations (stating axioms, definitions,
  4290     oracles), plus a copy of logical signature operations (consts,
  4291     types, etc.); also a few basic management operations (Theory.copy,
  4292     Theory.merge, etc.)
  4293 
  4294 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  4295 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  4296 for convenience -- they merely return the theory.
  4297 
  4298 * Pure: type Type.tsig is superceded by theory in most interfaces.
  4299 
  4300 * Pure: the Isar proof context type is already defined early in Pure
  4301 as Context.proof (note that ProofContext.context and Proof.context are
  4302 aliases, where the latter is the preferred name).  This enables other
  4303 Isabelle components to refer to that type even before Isar is present.
  4304 
  4305 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  4306 typeK, constK, axiomK, oracleK), but provide explicit operations for
  4307 any of these kinds.  For example, Sign.intern typeK is now
  4308 Sign.intern_type, Theory.hide_space Sign.typeK is now
  4309 Theory.hide_types.  Also note that former
  4310 Theory.hide_classes/types/consts are now
  4311 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  4312 internalize their arguments!  INCOMPATIBILITY.
  4313 
  4314 * Pure: get_thm interface (of PureThy and ProofContext) expects
  4315 datatype thmref (with constructors Name and NameSelection) instead of
  4316 plain string -- INCOMPATIBILITY;
  4317 
  4318 * Pure: cases produced by proof methods specify options, where NONE
  4319 means to remove case bindings -- INCOMPATIBILITY in
  4320 (RAW_)METHOD_CASES.
  4321 
  4322 * Pure: the following operations retrieve axioms or theorems from a
  4323 theory node or theory hierarchy, respectively:
  4324 
  4325   Theory.axioms_of: theory -> (string * term) list
  4326   Theory.all_axioms_of: theory -> (string * term) list
  4327   PureThy.thms_of: theory -> (string * thm) list
  4328   PureThy.all_thms_of: theory -> (string * thm) list
  4329 
  4330 * Pure: print_tac now outputs the goal through the trace channel.
  4331 
  4332 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  4333 Reference Toplevel.debug (default false) controls detailed printing
  4334 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  4335 controls execution profiling -- set to 1 for time and 2 for space
  4336 (both increase the runtime).
  4337 
  4338 * Isar session: The initial use of ROOT.ML is now always timed,
  4339 i.e. the log will show the actual process times, in contrast to the
  4340 elapsed wall-clock time that the outer shell wrapper produces.
  4341 
  4342 * Simplifier: improved handling of bound variables (nameless
  4343 representation, avoid allocating new strings).  Simprocs that invoke
  4344 the Simplifier recursively should use Simplifier.inherit_bounds to
  4345 avoid local name clashes.  Failure to do so produces warnings
  4346 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  4347 for further details.
  4348 
  4349 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  4350 bindings for all theorems stored within a given theory; this may help
  4351 in porting non-Isar theories to Isar ones, while keeping ML proof
  4352 scripts for the time being.
  4353 
  4354 * ML operator HTML.with_charset specifies the charset begin used for
  4355 generated HTML files.  For example:
  4356 
  4357   HTML.with_charset "utf-8" use_thy "Hebrew";
  4358   HTML.with_charset "utf-8" use_thy "Chinese";
  4359 
  4360 
  4361 *** System ***
  4362 
  4363 * Allow symlinks to all proper Isabelle executables (Isabelle,
  4364 isabelle, isatool etc.).
  4365 
  4366 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  4367 isatool doc, isatool mkdir, display_drafts etc.).
  4368 
  4369 * isatool usedir: option -f allows specification of the ML file to be
  4370 used by Isabelle; default is ROOT.ML.
  4371 
  4372 * New isatool version outputs the version identifier of the Isabelle
  4373 distribution being used.
  4374 
  4375 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  4376 (containing Boolean satisfiability problems) into Isabelle/HOL
  4377 theories.
  4378 
  4379 
  4380 
  4381 New in Isabelle2004 (April 2004)
  4382 --------------------------------
  4383 
  4384 *** General ***
  4385 
  4386 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  4387   Replaces linorder.ML.
  4388 
  4389 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  4390   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  4391   (\<a>...\<z>), are now considered normal letters, and can therefore
  4392   be used anywhere where an ASCII letter (a...zA...Z) has until
  4393   now. COMPATIBILITY: This obviously changes the parsing of some
  4394   terms, especially where a symbol has been used as a binder, say
  4395   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  4396   as an identifier.  Fix it by inserting a space around former
  4397   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  4398   existing theory and ML files.
  4399 
  4400 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  4401 
  4402 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  4403   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  4404   a normal (but invisible) letter. For multiple letter subscripts repeat
  4405   \<^isub> like this: x\<^isub>1\<^isub>2.
  4406 
  4407 * Pure: There are now sub-/superscripts that can span more than one
  4408   character. Text between \<^bsub> and \<^esub> is set in subscript in
  4409   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  4410   superscript. The new control characters are not identifier parts.
  4411 
  4412 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  4413   content of "..." to the latex file instead of \isacntrl... . The "..."
  4414   may consist of any printable characters excluding the end bracket >.
  4415 
  4416 * Pure: Using new Isar command "finalconsts" (or the ML functions
  4417   Theory.add_finals or Theory.add_finals_i) it is now possible to
  4418   declare constants "final", which prevents their being given a definition
  4419   later.  It is useful for constants whose behaviour is fixed axiomatically
  4420   rather than definitionally, such as the meta-logic connectives.
  4421 
  4422 * Pure: 'instance' now handles general arities with general sorts
  4423   (i.e. intersections of classes),
  4424 
  4425 * Presentation: generated HTML now uses a CSS style sheet to make layout
  4426   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  4427   It can be changed to alter the colors/layout of generated pages.
  4428 
  4429 
  4430 *** Isar ***
  4431 
  4432 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  4433   cut_tac, subgoal_tac and thin_tac:
  4434   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  4435     locales are no longer forced to write Isar proof scripts.
  4436     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  4437     emulations.
  4438   - INCOMPATIBILITY: names of variables to be instantiated may no
  4439     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  4440     This is consistent with the instantiation attribute "where".
  4441 
  4442 * Attributes "where" and "of":
  4443   - Now take type variables of instantiated theorem into account when reading
  4444     the instantiation string.  This fixes a bug that caused instantiated
  4445     theorems to have too special types in some circumstances.
  4446   - "where" permits explicit instantiations of type variables.
  4447 
  4448 * Calculation commands "moreover" and "also" no longer interfere with
  4449   current facts ("this"), admitting arbitrary combinations with "then"
  4450   and derived forms.
  4451 
  4452 * Locales:
  4453   - Goal statements involving the context element "includes" no longer
  4454     generate theorems with internal delta predicates (those ending on
  4455     "_axioms") in the premise.
  4456     Resolve particular premise with <locale>.intro to obtain old form.
  4457   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  4458     specification and "includes" elements in goal statement.
  4459   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  4460     [intro?] and [elim?] (respectively) by default.
  4461   - Experimental command for instantiation of locales in proof contexts:
  4462         instantiate <label>[<attrs>]: <loc>
  4463     Instantiates locale <loc> and adds all its theorems to the current context
  4464     taking into account their attributes.  Label and attrs are optional
  4465     modifiers, like in theorem declarations.  If present, names of
  4466     instantiated theorems are qualified with <label>, and the attributes
  4467     <attrs> are applied after any attributes these theorems might have already.
  4468       If the locale has assumptions, a chained fact of the form
  4469     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  4470     are derived.  The command does not support old-style locales declared
  4471     with "locale (open)".
  4472       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  4473 
  4474 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  4475   (Isar) contexts.
  4476 
  4477 
  4478 *** HOL ***
  4479 
  4480 * Proof import: new image HOL4 contains the imported library from
  4481   the HOL4 system with about 2500 theorems. It is imported by
  4482   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  4483   can be used like any other Isabelle image.  See
  4484   HOL/Import/HOL/README for more information.
  4485 
  4486 * Simplifier:
  4487   - Much improved handling of linear and partial orders.
  4488     Reasoners for linear and partial orders are set up for type classes
  4489     "linorder" and "order" respectively, and are added to the default simpset
  4490     as solvers.  This means that the simplifier can build transitivity chains
  4491     to solve goals from the assumptions.
  4492   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  4493     of blast or auto after simplification become unnecessary because the goal
  4494     is solved by simplification already.
  4495 
  4496 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  4497     all proved in axiomatic type classes for semirings, rings and fields.
  4498 
  4499 * Numerics:
  4500   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  4501     now formalized using the Ring_and_Field theory mentioned above.
  4502   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  4503     than before, because now they are set up once in a generic manner.
  4504   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  4505     Look for the general versions in Ring_and_Field (and Power if they concern
  4506     exponentiation).
  4507 
  4508 * Type "rat" of the rational numbers is now available in HOL-Complex.
  4509 
  4510 * Records:
  4511   - Record types are now by default printed with their type abbreviation
  4512     instead of the list of all field types. This can be configured via
  4513     the reference "print_record_type_abbr".
  4514   - Simproc "record_upd_simproc" for simplification of multiple updates added
  4515     (not enabled by default).
  4516   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  4517     EX x. x = sel r to True (not enabled by default).
  4518   - Tactic "record_split_simp_tac" to split and simplify records added.
  4519 
  4520 * 'specification' command added, allowing for definition by
  4521   specification.  There is also an 'ax_specification' command that
  4522   introduces the new constants axiomatically.
  4523 
  4524 * arith(_tac) is now able to generate counterexamples for reals as well.
  4525 
  4526 * HOL-Algebra: new locale "ring" for non-commutative rings.
  4527 
  4528 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  4529   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  4530 
  4531 * HOL-Matrix: a first theory for matrices in HOL with an application of
  4532   matrix theory to linear programming.
  4533 
  4534 * Unions and Intersections:
  4535   The latex output syntax of UN and INT has been changed
  4536   from "\Union x \in A. B" to "\Union_{x \in A} B"
  4537   i.e. the index formulae has become a subscript.
  4538   Similarly for "\Union x. B", and for \Inter instead of \Union.
  4539 
  4540 * Unions and Intersections over Intervals:
  4541   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  4542   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  4543   like in normal math, and corresponding versions for < and for intersection.
  4544 
  4545 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  4546   lexicographic dictonary ordering has been added as "lexord".
  4547 
  4548 * ML: the legacy theory structures Int and List have been removed. They had
  4549   conflicted with ML Basis Library structures having the same names.
  4550 
  4551 * 'refute' command added to search for (finite) countermodels.  Only works
  4552   for a fragment of HOL.  The installation of an external SAT solver is
  4553   highly recommended.  See "HOL/Refute.thy" for details.
  4554 
  4555 * 'quickcheck' command: Allows to find counterexamples by evaluating
  4556   formulae under an assignment of free variables to random values.
  4557   In contrast to 'refute', it can deal with inductive datatypes,
  4558   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  4559   for examples.
  4560 
  4561 
  4562 *** HOLCF ***
  4563 
  4564 * Streams now come with concatenation and are part of the HOLCF image
  4565 
  4566 
  4567 
  4568 New in Isabelle2003 (May 2003)
  4569 ------------------------------
  4570 
  4571 *** General ***
  4572 
  4573 * Provers/simplifier:
  4574 
  4575   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  4576     Assumptions are now subject to complete mutual simplification,
  4577     not just from left to right. The simplifier now preserves
  4578     the order of assumptions.
  4579 
  4580     Potential INCOMPATIBILITY:
  4581 
  4582     -- simp sometimes diverges where the old version did
  4583        not, e.g. invoking simp on the goal
  4584 
  4585         [| P (f x); y = x; f x = f y |] ==> Q
  4586 
  4587        now gives rise to the infinite reduction sequence
  4588 
  4589         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  4590 
  4591        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  4592        kind of problem.
  4593 
  4594     -- Tactics combining classical reasoner and simplification (such as auto)
  4595        are also affected by this change, because many of them rely on
  4596        simp. They may sometimes diverge as well or yield a different numbers
  4597        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  4598        in case of problems. Sometimes subsequent calls to the classical
  4599        reasoner will fail because a preceeding call to the simplifier too
  4600        eagerly simplified the goal, e.g. deleted redundant premises.
  4601 
  4602   - The simplifier trace now shows the names of the applied rewrite rules
  4603 
  4604   - You can limit the number of recursive invocations of the simplifier
  4605     during conditional rewriting (where the simplifie tries to solve the
  4606     conditions before applying the rewrite rule):
  4607     ML "simp_depth_limit := n"
  4608     where n is an integer. Thus you can force termination where previously
  4609     the simplifier would diverge.
  4610 
  4611   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  4612 
  4613   - No longer aborts on failed congruence proof.  Instead, the
  4614     congruence is ignored.
  4615 
  4616 * Pure: New generic framework for extracting programs from constructive
  4617   proofs. See HOL/Extraction.thy for an example instantiation, as well
  4618   as HOL/Extraction for some case studies.
  4619 
  4620 * Pure: The main goal of the proof state is no longer shown by default, only
  4621 the subgoals. This behaviour is controlled by a new flag.
  4622    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  4623 (ML: Proof.show_main_goal).
  4624 
  4625 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  4626 rules whose conclusion matches subgoal 1:
  4627       PG menu: Isabelle/Isar -> Show me -> matching rules
  4628 The rules are ordered by how closely they match the subgoal.
  4629 In particular, rules that solve a subgoal outright are displayed first
  4630 (or rather last, the way they are printed).
  4631 (ML: ProofGeneral.print_intros())
  4632 
  4633 * Pure: New flag trace_unify_fail causes unification to print
  4634 diagnostic information (PG: in trace buffer) when it fails. This is
  4635 useful for figuring out why single step proofs like rule, erule or
  4636 assumption failed.
  4637 
  4638 * Pure: Locale specifications now produce predicate definitions
  4639 according to the body of text (covering assumptions modulo local
  4640 definitions); predicate "loc_axioms" covers newly introduced text,
  4641 while "loc" is cumulative wrt. all included locale expressions; the
  4642 latter view is presented only on export into the global theory
  4643 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  4644 on the old view without predicates;
  4645 
  4646 * Pure: predefined locales "var" and "struct" are useful for sharing
  4647 parameters (as in CASL, for example); just specify something like
  4648 ``var x + var y + struct M'' as import;
  4649 
  4650 * Pure: improved thms_containing: proper indexing of facts instead of
  4651 raw theorems; check validity of results wrt. current name space;
  4652 include local facts of proof configuration (also covers active
  4653 locales), cover fixed variables in index; may use "_" in term
  4654 specification; an optional limit for the number of printed facts may
  4655 be given (the default is 40);
  4656 
  4657 * Pure: disallow duplicate fact bindings within new-style theory files
  4658 (batch-mode only);
  4659 
  4660 * Provers: improved induct method: assumptions introduced by case
  4661 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  4662 the goal statement); "foo" still refers to all facts collectively;
  4663 
  4664 * Provers: the function blast.overloaded has been removed: all constants
  4665 are regarded as potentially overloaded, which improves robustness in exchange
  4666 for slight decrease in efficiency;
  4667 
  4668 * Provers/linorder: New generic prover for transitivity reasoning over
  4669 linear orders.  Note: this prover is not efficient!
  4670 
  4671 * Isar: preview of problems to finish 'show' now produce an error
  4672 rather than just a warning (in interactive mode);
  4673 
  4674 
  4675 *** HOL ***
  4676 
  4677 * arith(_tac)
  4678 
  4679  - Produces a counter example if it cannot prove a goal.
  4680    Note that the counter example may be spurious if the goal is not a formula
  4681    of quantifier-free linear arithmetic.
  4682    In ProofGeneral the counter example appears in the trace buffer.
  4683 
  4684  - Knows about div k and mod k where k is a numeral of type nat or int.
  4685 
  4686  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  4687    linear arithmetic fails. This takes account of quantifiers and divisibility.
  4688    Presburger arithmetic can also be called explicitly via presburger(_tac).
  4689 
  4690 * simp's arithmetic capabilities have been enhanced a bit: it now
  4691 takes ~= in premises into account (by performing a case split);
  4692 
  4693 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  4694 are distributed over a sum of terms;
  4695 
  4696 * New tactic "trans_tac" and method "trans" instantiate
  4697 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  4698 "<=", "<" and "=").
  4699 
  4700 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  4701 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  4702 
  4703 * 'typedef' command has new option "open" to suppress the set
  4704 definition;
  4705 
  4706 * functions Min and Max on finite sets have been introduced (theory
  4707 Finite_Set);
  4708 
  4709 * attribute [symmetric] now works for relations as well; it turns
  4710 (x,y) : R^-1 into (y,x) : R, and vice versa;
  4711 
  4712 * induct over a !!-quantified statement (say !!x1..xn):
  4713   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  4714 
  4715 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  4716 %x. None. Warning: empty_def now refers to the previously hidden definition
  4717 of the empty set.
  4718 
  4719 * Algebra: formalization of classical algebra.  Intended as base for
  4720 any algebraic development in Isabelle.  Currently covers group theory
  4721 (up to Sylow's theorem) and ring theory (Universal Property of
  4722 Univariate Polynomials).  Contributions welcome;
  4723 
  4724 * GroupTheory: deleted, since its material has been moved to Algebra;
  4725 
  4726 * Complex: new directory of the complex numbers with numeric constants,
  4727 nonstandard complex numbers, and some complex analysis, standard and
  4728 nonstandard (Jacques Fleuriot);
  4729 
  4730 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  4731 
  4732 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  4733 Fleuriot);
  4734 
  4735 * Real/HahnBanach: updated and adapted to locales;
  4736 
  4737 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  4738 Gray and Kramer);
  4739 
  4740 * UNITY: added the Meier-Sanders theory of progress sets;
  4741 
  4742 * MicroJava: bytecode verifier and lightweight bytecode verifier
  4743 as abstract algorithms, instantiated to the JVM;
  4744 
  4745 * Bali: Java source language formalization. Type system, operational
  4746 semantics, axiomatic semantics. Supported language features:
  4747 classes, interfaces, objects,virtual methods, static methods,
  4748 static/instance fields, arrays, access modifiers, definite
  4749 assignment, exceptions.
  4750 
  4751 
  4752 *** ZF ***
  4753 
  4754 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  4755 universe, etc.);
  4756 
  4757 * Main ZF: virtually all theories converted to new-style format;
  4758 
  4759 
  4760 *** ML ***
  4761 
  4762 * Pure: Tactic.prove provides sane interface for internal proofs;
  4763 omits the infamous "standard" operation, so this is more appropriate
  4764 than prove_goalw_cterm in many situations (e.g. in simprocs);
  4765 
  4766 * Pure: improved error reporting of simprocs;
  4767 
  4768 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  4769 up simprocs;
  4770 
  4771 
  4772 *** Document preparation ***
  4773 
  4774 * uses \par instead of \\ for line breaks in theory text. This may
  4775 shift some page breaks in large documents. To get the old behaviour
  4776 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  4777 
  4778 * minimized dependencies of isabelle.sty and isabellesym.sty on
  4779 other packages
  4780 
  4781 * \<euro> now needs package babel/greek instead of marvosym (which
  4782 broke \Rightarrow)
  4783 
  4784 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  4785 textcomp package)
  4786 
  4787 
  4788 
  4789 New in Isabelle2002 (March 2002)
  4790 --------------------------------
  4791 
  4792 *** Document preparation ***
  4793 
  4794 * greatly simplified document preparation setup, including more
  4795 graceful interpretation of isatool usedir -i/-d/-D options, and more
  4796 instructive isatool mkdir; users should basically be able to get
  4797 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  4798 users may run a separate document processing stage manually like this:
  4799 "isatool usedir -D output HOL Test && isatool document Test/output";
  4800 
  4801 * theory dependency graph may now be incorporated into documents;
  4802 isatool usedir -g true will produce session_graph.eps/.pdf for use
  4803 with \includegraphics of LaTeX;
  4804 
  4805 * proper spacing of consecutive markup elements, especially text
  4806 blocks after section headings;
  4807 
  4808 * support bold style (for single symbols only), input syntax is like
  4809 this: "\<^bold>\<alpha>" or "\<^bold>A";
  4810 
  4811 * \<bullet> is now output as bold \cdot by default, which looks much
  4812 better in printed text;
  4813 
  4814 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  4815 note that these symbols are currently unavailable in Proof General /
  4816 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  4817 
  4818 * isatool latex no longer depends on changed TEXINPUTS, instead
  4819 isatool document copies the Isabelle style files to the target
  4820 location;
  4821 
  4822 
  4823 *** Isar ***
  4824 
  4825 * Pure/Provers: improved proof by cases and induction;
  4826   - 'case' command admits impromptu naming of parameters (such as
  4827     "case (Suc n)");
  4828   - 'induct' method divinates rule instantiation from the inductive
  4829     claim; no longer requires excessive ?P bindings for proper
  4830     instantiation of cases;
  4831   - 'induct' method properly enumerates all possibilities of set/type
  4832     rules; as a consequence facts may be also passed through *type*
  4833     rules without further ado;
  4834   - 'induct' method now derives symbolic cases from the *rulified*
  4835     rule (before it used to rulify cases stemming from the internal
  4836     atomized version); this means that the context of a non-atomic
  4837     statement becomes is included in the hypothesis, avoiding the
  4838     slightly cumbersome show "PROP ?case" form;
  4839   - 'induct' may now use elim-style induction rules without chaining
  4840     facts, using ``missing'' premises from the goal state; this allows
  4841     rules stemming from inductive sets to be applied in unstructured
  4842     scripts, while still benefitting from proper handling of non-atomic
  4843     statements; NB: major inductive premises need to be put first, all
  4844     the rest of the goal is passed through the induction;
  4845   - 'induct' proper support for mutual induction involving non-atomic
  4846     rule statements (uses the new concept of simultaneous goals, see
  4847     below);
  4848   - append all possible rule selections, but only use the first
  4849     success (no backtracking);
  4850   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  4851   - undeclared rule case names default to numbers 1, 2, 3, ...;
  4852   - added 'print_induct_rules' (covered by help item in recent Proof
  4853     General versions);
  4854   - moved induct/cases attributes to Pure, methods to Provers;
  4855   - generic method setup instantiated for FOL and HOL;
  4856 
  4857 * Pure: support multiple simultaneous goal statements, for example
  4858 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  4859 meta-level mechanism, this acts as if several individual goals had
  4860 been stated separately; in particular common proof methods need to be
  4861 repeated in order to cover all claims; note that a single elimination
  4862 step is *not* sufficient to establish the two conjunctions, so this
  4863 fails:
  4864 
  4865   assume "A & B" then have A and B ..   (*".." fails*)
  4866 
  4867 better use "obtain" in situations as above; alternative refer to
  4868 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  4869 
  4870 * Pure: proper integration with ``locales''; unlike the original
  4871 version by Florian Kammller, Isar locales package high-level proof
  4872 contexts rather than raw logical ones (e.g. we admit to include
  4873 attributes everywhere); operations on locales include merge and
  4874 rename; support for implicit arguments (``structures''); simultaneous
  4875 type-inference over imports and text; see also HOL/ex/Locales.thy for
  4876 some examples;
  4877 
  4878 * Pure: the following commands have been ``localized'', supporting a
  4879 target locale specification "(in name)": 'lemma', 'theorem',
  4880 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  4881 stored both within the locale and at the theory level (exported and
  4882 qualified by the locale name);
  4883 
  4884 * Pure: theory goals may now be specified in ``long'' form, with
  4885 ad-hoc contexts consisting of arbitrary locale elements. for example
  4886 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  4887 definitions may be given, too); the result is a meta-level rule with
  4888 the context elements being discharged in the obvious way;
  4889 
  4890 * Pure: new proof command 'using' allows to augment currently used
  4891 facts after a goal statement ('using' is syntactically analogous to
  4892 'apply', but acts on the goal's facts only); this allows chained facts
  4893 to be separated into parts given before and after a claim, as in
  4894 ``from a and b have C using d and e <proof>'';
  4895 
  4896 * Pure: renamed "antecedent" case to "rule_context";
  4897 
  4898 * Pure: new 'judgment' command records explicit information about the
  4899 object-logic embedding (used by several tools internally); no longer
  4900 use hard-wired "Trueprop";
  4901 
  4902 * Pure: added 'corollary' command;
  4903 
  4904 * Pure: fixed 'token_translation' command;
  4905 
  4906 * Pure: removed obsolete 'exported' attribute;
  4907 
  4908 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  4909 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  4910 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  4911 
  4912 * Pure: method 'atomize' presents local goal premises as object-level
  4913 statements (atomic meta-level propositions); setup controlled via
  4914 rewrite rules declarations of 'atomize' attribute; example
  4915 application: 'induct' method with proper rule statements in improper
  4916 proof *scripts*;
  4917 
  4918 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  4919 now consider the syntactic context of assumptions, giving a better
  4920 chance to get type-inference of the arguments right (this is
  4921 especially important for locales);
  4922 
  4923 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  4924 mode;
  4925 
  4926 * Pure/obtain: the formal conclusion "thesis", being marked as
  4927 ``internal'', may no longer be reference directly in the text;
  4928 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  4929 situations;
  4930 
  4931 * Pure: generic 'sym' attribute which declares a rule both as pure
  4932 'elim?' and for the 'symmetric' operation;
  4933 
  4934 * Pure: marginal comments ``--'' may now occur just anywhere in the
  4935 text; the fixed correlation with particular command syntax has been
  4936 discontinued;
  4937 
  4938 * Pure: new method 'rules' is particularly well-suited for proof
  4939 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  4940 but often produces more compact proof terms with less detours;
  4941 
  4942 * Pure/Provers/classical: simplified integration with pure rule
  4943 attributes and methods; the classical "intro?/elim?/dest?"
  4944 declarations coincide with the pure ones; the "rule" method no longer
  4945 includes classically swapped intros; "intro" and "elim" methods no
  4946 longer pick rules from the context; also got rid of ML declarations
  4947 AddXIs/AddXEs/AddXDs; all of this has some potential for
  4948 INCOMPATIBILITY;
  4949 
  4950 * Provers/classical: attribute 'swapped' produces classical inversions
  4951 of introduction rules;
  4952 
  4953 * Provers/simplifier: 'simplified' attribute may refer to explicit
  4954 rules instead of full simplifier context; 'iff' attribute handles
  4955 conditional rules;
  4956 
  4957 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  4958 
  4959 * HOL: 'recdef' now fails on unfinished automated proofs, use
  4960 "(permissive)" option to recover old behavior;
  4961 
  4962 * HOL: 'inductive' no longer features separate (collective) attributes
  4963 for 'intros' (was found too confusing);
  4964 
  4965 * HOL: properly declared induction rules less_induct and
  4966 wf_induct_rule;
  4967 
  4968 
  4969 *** HOL ***
  4970 
  4971 * HOL: moved over to sane numeral syntax; the new policy is as
  4972 follows:
  4973 
  4974   - 0 and 1 are polymorphic constants, which are defined on any
  4975   numeric type (nat, int, real etc.);
  4976 
  4977   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  4978   binary representation internally;
  4979 
  4980   - type nat has special constructor Suc, and generally prefers Suc 0
  4981   over 1::nat and Suc (Suc 0) over 2::nat;
  4982 
  4983 This change may cause significant problems of INCOMPATIBILITY; here
  4984 are some hints on converting existing sources:
  4985 
  4986   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  4987   entities, so expressions involving "-" (unary or binary minus) need
  4988   to be spaced properly;
  4989 
  4990   - existing occurrences of "1" may need to be constraint "1::nat" or
  4991   even replaced by Suc 0; similar for old "2";
  4992 
  4993   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  4994 
  4995   - remove all special provisions on numerals in proofs;
  4996 
  4997 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  4998 representation (depends on bin_arith_simps in the default context);
  4999 
  5000 * HOL: symbolic syntax for x^2 (numeral 2);
  5001 
  5002 * HOL: the class of all HOL types is now called "type" rather than
  5003 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5004 in axclass/classes, instance/arities, and (usually rare) occurrences
  5005 in typings (of consts etc.); internally the class is called
  5006 "HOL.type", ML programs should refer to HOLogic.typeS;
  5007 
  5008 * HOL/record package improvements:
  5009   - new derived operations "fields" to build a partial record section,
  5010     "extend" to promote a fixed record to a record scheme, and
  5011     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5012     declared as simp by default;
  5013   - shared operations ("more", "fields", etc.) now need to be always
  5014     qualified) --- potential INCOMPATIBILITY;
  5015   - removed "make_scheme" operations (use "make" with "extend") --
  5016     INCOMPATIBILITY;
  5017   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5018   - provides cases/induct rules for use with corresponding Isar
  5019     methods (for concrete records, record schemes, concrete more
  5020     parts, and schematic more parts -- in that order);
  5021   - internal definitions directly based on a light-weight abstract
  5022     theory of product types over typedef rather than datatype;
  5023 
  5024 * HOL: generic code generator for generating executable ML code from
  5025 specifications; specific support for HOL constructs such as inductive
  5026 datatypes and sets, as well as recursive functions; can be invoked
  5027 via 'generate_code' theory section;
  5028 
  5029 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5030 
  5031 * HOL: consolidated and renamed several theories.  In particular:
  5032         Ord.thy has been absorbed into HOL.thy
  5033         String.thy has been absorbed into List.thy
  5034 
  5035 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5036 (beware of argument permutation!);
  5037 
  5038 * HOL: linorder_less_split superseded by linorder_cases;
  5039 
  5040 * HOL/List: "nodups" renamed to "distinct";
  5041 
  5042 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5043 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5044   - Ex_def has changed, now need to use some_eq_ex
  5045 
  5046 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5047 in this (rare) case use:
  5048 
  5049   delSWrapper "split_all_tac"
  5050   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  5051 
  5052 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  5053 MAY FAIL;
  5054 
  5055 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  5056 Isabelle's type classes, ^ on functions and relations has too general
  5057 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  5058 necessary to attach explicit type constraints;
  5059 
  5060 * HOL/Relation: the prefix name of the infix "O" has been changed from
  5061 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  5062 renamed accordingly (eg "compI" -> "rel_compI").
  5063 
  5064 * HOL: syntax translations now work properly with numerals and records
  5065 expressions;
  5066 
  5067 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  5068 of "lam" -- INCOMPATIBILITY;
  5069 
  5070 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  5071 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  5072 renamed "Product_Type.unit";
  5073 
  5074 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  5075 
  5076 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  5077 the "cases" method);
  5078 
  5079 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  5080 Florian Kammller);
  5081 
  5082 * HOL/IMP: updated and converted to new-style theory format; several
  5083 parts turned into readable document, with proper Isar proof texts and
  5084 some explanations (by Gerwin Klein);
  5085 
  5086 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  5087 
  5088 * HOL-Hyperreal is now a logic image;
  5089 
  5090 
  5091 *** HOLCF ***
  5092 
  5093 * Isar: consts/constdefs supports mixfix syntax for continuous
  5094 operations;
  5095 
  5096 * Isar: domain package adapted to new-style theory format, e.g. see
  5097 HOLCF/ex/Dnat.thy;
  5098 
  5099 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  5100 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  5101 lift.induct_tac, always use UU instead of Undef;
  5102 
  5103 * HOLCF/IMP: updated and converted to new-style theory;
  5104 
  5105 
  5106 *** ZF ***
  5107 
  5108 * Isar: proper integration of logic-specific tools and packages,
  5109 including theory commands '(co)inductive', '(co)datatype',
  5110 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  5111 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  5112 
  5113 * theory Main no longer includes AC; for the Axiom of Choice, base
  5114 your theory on Main_ZFC;
  5115 
  5116 * the integer library now covers quotients and remainders, with many
  5117 laws relating division to addition, multiplication, etc.;
  5118 
  5119 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  5120 typeless version of the formalism;
  5121 
  5122 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  5123 format;
  5124 
  5125 * ZF/Induct: new directory for examples of inductive definitions,
  5126 including theory Multiset for multiset orderings; converted to
  5127 new-style theory format;
  5128 
  5129 * ZF: many new theorems about lists, ordinals, etc.;
  5130 
  5131 
  5132 *** General ***
  5133 
  5134 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  5135 variable proof controls level of detail: 0 = no proofs (only oracle
  5136 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  5137 also ref manual for further ML interfaces;
  5138 
  5139 * Pure/axclass: removed obsolete ML interface
  5140 goal_subclass/goal_arity;
  5141 
  5142 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  5143 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  5144 separate tokens, so expressions involving minus need to be spaced
  5145 properly;
  5146 
  5147 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  5148 rather than "infixl" or "infixr";
  5149 
  5150 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  5151 sort constraint specifications in type inference; e.g. "x::_::foo"
  5152 ensures that the type of "x" is of sort "foo" (but not necessarily a
  5153 type variable);
  5154 
  5155 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  5156 control output of nested => (types); the default behavior is
  5157 "type_brackets";
  5158 
  5159 * Pure/syntax: builtin parse translation for "_constify" turns valued
  5160 tokens into AST constants;
  5161 
  5162 * Pure/syntax: prefer later declarations of translations and print
  5163 translation functions; potential INCOMPATIBILITY: need to reverse
  5164 multiple declarations for same syntax element constant;
  5165 
  5166 * Pure/show_hyps reset by default (in accordance to existing Isar
  5167 practice);
  5168 
  5169 * Provers/classical: renamed addaltern to addafter, addSaltern to
  5170 addSafter;
  5171 
  5172 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  5173 as well;
  5174 
  5175 * system: tested support for MacOS X; should be able to get Isabelle +
  5176 Proof General to work in a plain Terminal after installing Poly/ML
  5177 (e.g. from the Isabelle distribution area) and GNU bash alone
  5178 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  5179 support requires further installations, e.g. from
  5180 http://fink.sourceforge.net/);
  5181 
  5182 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  5183 
  5184 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  5185 of 40 MB), cf. ML_OPTIONS;
  5186 
  5187 * system: Proof General keywords specification is now part of the
  5188 Isabelle distribution (see etc/isar-keywords.el);
  5189 
  5190 * system: support for persistent Proof General sessions (refrain from
  5191 outdating all loaded theories on startup); user may create writable
  5192 logic images like this: ``isabelle -q HOL Test'';
  5193 
  5194 * system: smart selection of Isabelle process versus Isabelle
  5195 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  5196 run both "isabelle" and "Isabelle" even if file names are badly
  5197 damaged (executable inspects the case of the first letter of its own
  5198 name); added separate "isabelle-process" and "isabelle-interface";
  5199 
  5200 * system: refrain from any attempt at filtering input streams; no
  5201 longer support ``8bit'' encoding of old isabelle font, instead proper
  5202 iso-latin characters may now be used; the related isatools
  5203 "symbolinput" and "nonascii" have disappeared as well;
  5204 
  5205 * system: removed old "xterm" interface (the print modes "xterm" and
  5206 "xterm_color" are still available for direct use in a suitable
  5207 terminal);
  5208 
  5209 
  5210 
  5211 New in Isabelle99-2 (February 2001)
  5212 -----------------------------------
  5213 
  5214 *** Overview of INCOMPATIBILITIES ***
  5215 
  5216 * HOL: please note that theories in the Library and elsewhere often use the
  5217 new-style (Isar) format; to refer to their theorems in an ML script you must
  5218 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  5219 
  5220 * HOL: inductive package no longer splits induction rule aggressively,
  5221 but only as far as specified by the introductions given; the old
  5222 format may be recovered via ML function complete_split_rule or attribute
  5223 'split_rule (complete)';
  5224 
  5225 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  5226 gfp_Tarski to gfp_unfold;
  5227 
  5228 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  5229 
  5230 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  5231 relation); infix "^^" has been renamed "``"; infix "``" has been
  5232 renamed "`"; "univalent" has been renamed "single_valued";
  5233 
  5234 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  5235 operation;
  5236 
  5237 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  5238 
  5239 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  5240 
  5241 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  5242 consequence, it is no longer monotonic wrt. the local goal context
  5243 (which is now passed through the inductive cases);
  5244 
  5245 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  5246 \<gg> to \<ggreater>;
  5247 
  5248 
  5249 *** Document preparation ***
  5250 
  5251 * \isabellestyle{NAME} selects version of Isabelle output (currently
  5252 available: are "it" for near math-mode best-style output, "sl" for
  5253 slanted text style, and "tt" for plain type-writer; if no
  5254 \isabellestyle command is given, output is according to slanted
  5255 type-writer);
  5256 
  5257 * support sub/super scripts (for single symbols only), input syntax is
  5258 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  5259 
  5260 * some more standard symbols; see Appendix A of the system manual for
  5261 the complete list of symbols defined in isabellesym.sty;
  5262 
  5263 * improved isabelle style files; more abstract symbol implementation
  5264 (should now use \isamath{...} and \isatext{...} in custom symbol
  5265 definitions);
  5266 
  5267 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  5268 state; Note that presentation of goal states does not conform to
  5269 actual human-readable proof documents.  Please do not include goal
  5270 states into document output unless you really know what you are doing!
  5271 
  5272 * proper indentation of antiquoted output with proportional LaTeX
  5273 fonts;
  5274 
  5275 * no_document ML operator temporarily disables LaTeX document
  5276 generation;
  5277 
  5278 * isatool unsymbolize tunes sources for plain ASCII communication;
  5279 
  5280 
  5281 *** Isar ***
  5282 
  5283 * Pure: Isar now suffers initial goal statements to contain unbound
  5284 schematic variables (this does not conform to actual readable proof
  5285 documents, due to unpredictable outcome and non-compositional proof
  5286 checking); users who know what they are doing may use schematic goals
  5287 for Prolog-style synthesis of proven results;
  5288 
  5289 * Pure: assumption method (an implicit finishing) now handles actual
  5290 rules as well;
  5291 
  5292 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  5293 initial goal, declare "that" only as Pure intro (only for single
  5294 steps); the "that" rule assumption may now be involved in implicit
  5295 finishing, thus ".." becomes a feasible for trivial obtains;
  5296 
  5297 * Pure: default proof step now includes 'intro_classes'; thus trivial
  5298 instance proofs may be performed by "..";
  5299 
  5300 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  5301 statements as well;
  5302 
  5303 * Pure: more robust selection of calculational rules;
  5304 
  5305 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  5306 rule (as well as the assumption rule);
  5307 
  5308 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  5309 lemmas, using the graph browser tool;
  5310 
  5311 * Pure: predict failure of "show" in interactive mode;
  5312 
  5313 * Pure: 'thms_containing' now takes actual terms as arguments;
  5314 
  5315 * HOL: improved method 'induct' --- now handles non-atomic goals
  5316 (potential INCOMPATIBILITY); tuned error handling;
  5317 
  5318 * HOL: cases and induct rules now provide explicit hints about the
  5319 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  5320 any remaining facts are inserted into the goal verbatim;
  5321 
  5322 * HOL: local contexts (aka cases) may now contain term bindings as
  5323 well; the 'cases' and 'induct' methods new provide a ?case binding for
  5324 the result to be shown in each case;
  5325 
  5326 * HOL: added 'recdef_tc' command;
  5327 
  5328 * isatool convert assists in eliminating legacy ML scripts;
  5329 
  5330 
  5331 *** HOL ***
  5332 
  5333 * HOL/Library: a collection of generic theories to be used together
  5334 with main HOL; the theory loader path already includes this directory
  5335 by default; the following existing theories have been moved here:
  5336 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  5337 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  5338 
  5339 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  5340 modelling and verification task performed in Isabelle/HOL +
  5341 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  5342 
  5343 * HOL/Algebra: special summation operator SUM no longer exists, it has
  5344 been replaced by setsum; infix 'assoc' now has priority 50 (like
  5345 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  5346 'domain', this makes the theory consistent with mathematical
  5347 literature;
  5348 
  5349 * HOL basics: added overloaded operations "inverse" and "divide"
  5350 (infix "/"), syntax for generic "abs" operation, generic summation
  5351 operator \<Sum>;
  5352 
  5353 * HOL/typedef: simplified package, provide more useful rules (see also
  5354 HOL/subset.thy);
  5355 
  5356 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  5357 now expressed as a proper nested rule (old-style tactic scripts may
  5358 require atomize_strip_tac to cope with non-atomic premises);
  5359 
  5360 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  5361 to "split_conv" (old name still available for compatibility);
  5362 
  5363 * HOL: improved concrete syntax for strings (e.g. allows translation
  5364 rules with string literals);
  5365 
  5366 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  5367  and Fleuriot's mechanization of analysis, including the transcendental
  5368  functions for the reals;
  5369 
  5370 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  5371 
  5372 
  5373 *** CTT ***
  5374 
  5375 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  5376 "lam" is displayed as TWO lambda-symbols
  5377 
  5378 * CTT: theory Main now available, containing everything (that is, Bool
  5379 and Arith);
  5380 
  5381 
  5382 *** General ***
  5383 
  5384 * Pure: the Simplifier has been implemented properly as a derived rule
  5385 outside of the actual kernel (at last!); the overall performance
  5386 penalty in practical applications is about 50%, while reliability of
  5387 the Isabelle inference kernel has been greatly improved;
  5388 
  5389 * print modes "brackets" and "no_brackets" control output of nested =>
  5390 (types) and ==> (props); the default behaviour is "brackets";
  5391 
  5392 * Provers: fast_tac (and friends) now handle actual object-logic rules
  5393 as assumptions as well;
  5394 
  5395 * system: support Poly/ML 4.0;
  5396 
  5397 * system: isatool install handles KDE version 1 or 2;
  5398 
  5399 
  5400 
  5401 New in Isabelle99-1 (October 2000)
  5402 ----------------------------------
  5403 
  5404 *** Overview of INCOMPATIBILITIES ***
  5405 
  5406 * HOL: simplification of natural numbers is much changed; to partly
  5407 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  5408 issue the following ML commands:
  5409 
  5410   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  5411   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  5412 
  5413 * HOL: simplification no longer dives into case-expressions; this is
  5414 controlled by "t.weak_case_cong" for each datatype t;
  5415 
  5416 * HOL: nat_less_induct renamed to less_induct;
  5417 
  5418 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  5419 fixsome to patch .thy and .ML sources automatically;
  5420 
  5421   select_equality  -> some_equality
  5422   select_eq_Ex     -> some_eq_ex
  5423   selectI2EX       -> someI2_ex
  5424   selectI2         -> someI2
  5425   selectI          -> someI
  5426   select1_equality -> some1_equality
  5427   Eps_sym_eq       -> some_sym_eq_trivial
  5428   Eps_eq           -> some_eq_trivial
  5429 
  5430 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  5431 
  5432 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  5433 instead);
  5434 
  5435 * HOL: the recursion equations generated by 'recdef' are now called
  5436 f.simps instead of f.rules;
  5437 
  5438 * HOL: qed_spec_mp now also handles bounded ALL as well;
  5439 
  5440 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  5441 sometimes be needed;
  5442 
  5443 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  5444 
  5445 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  5446 
  5447 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  5448 product is now "<*>" instead of "Times"; the lexicographic product is
  5449 now "<*lex*>" instead of "**";
  5450 
  5451 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  5452 of main HOL, but was unused); better use HOL's datatype package;
  5453 
  5454 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  5455 the old syntax may be recovered as follows:
  5456 
  5457   syntax (symbols)
  5458     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  5459       (infixl "\\<oplus>" 100)
  5460 
  5461 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5462 
  5463 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  5464 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  5465 internally;
  5466 
  5467 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  5468 changed from A/r to A//r;
  5469 
  5470 * ZF: new treatment of arithmetic (nat & int) may break some old
  5471 proofs;
  5472 
  5473 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  5474 rulify -> rule_format, elimify -> elim_format, ...);
  5475 
  5476 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5477 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  5478 should have to change intro!! to intro? only); replaced "delrule" by
  5479 "rule del";
  5480 
  5481 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  5482 
  5483 * Provers: strengthened force_tac by using new first_best_tac;
  5484 
  5485 * LaTeX document preparation: several changes of isabelle.sty (see
  5486 lib/texinputs);
  5487 
  5488 
  5489 *** Document preparation ***
  5490 
  5491 * formal comments (text blocks etc.) in new-style theories may now
  5492 contain antiquotations of thm/prop/term/typ/text to be presented
  5493 according to latex print mode; concrete syntax is like this:
  5494 @{term[show_types] "f(x) = a + x"};
  5495 
  5496 * isatool mkdir provides easy setup of Isabelle session directories,
  5497 including proper document sources;
  5498 
  5499 * generated LaTeX sources are now deleted after successful run
  5500 (isatool document -c); may retain a copy somewhere else via -D option
  5501 of isatool usedir;
  5502 
  5503 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  5504 style files, achieving self-contained LaTeX sources and simplifying
  5505 LaTeX debugging;
  5506 
  5507 * old-style theories now produce (crude) LaTeX output as well;
  5508 
  5509 * browser info session directories are now self-contained (may be put
  5510 on WWW server seperately); improved graphs of nested sessions; removed
  5511 graph for 'all sessions';
  5512 
  5513 * several improvements in isabelle style files; \isabellestyle{it}
  5514 produces fake math mode output; \isamarkupheader is now \section by
  5515 default; see lib/texinputs/isabelle.sty etc.;
  5516 
  5517 
  5518 *** Isar ***
  5519 
  5520 * Isar/Pure: local results and corresponding term bindings are now
  5521 subject to Hindley-Milner polymorphism (similar to ML); this
  5522 accommodates incremental type-inference very nicely;
  5523 
  5524 * Isar/Pure: new derived language element 'obtain' supports
  5525 generalized existence reasoning;
  5526 
  5527 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  5528 support accumulation of results, without applying any rules yet;
  5529 useful to collect intermediate results without explicit name
  5530 references, and for use with transitivity rules with more than 2
  5531 premises;
  5532 
  5533 * Isar/Pure: scalable support for case-analysis type proofs: new
  5534 'case' language element refers to local contexts symbolically, as
  5535 produced by certain proof methods; internally, case names are attached
  5536 to theorems as "tags";
  5537 
  5538 * Isar/Pure: theory command 'hide' removes declarations from
  5539 class/type/const name spaces;
  5540 
  5541 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  5542 indicate potential overloading;
  5543 
  5544 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  5545 
  5546 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  5547 "{a,b,c}" instead of {a,b,c};
  5548 
  5549 * Isar/Pure now provides its own version of intro/elim/dest
  5550 attributes; useful for building new logics, but beware of confusion
  5551 with the version in Provers/classical;
  5552 
  5553 * Isar/Pure: the local context of (non-atomic) goals is provided via
  5554 case name 'antecedent';
  5555 
  5556 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  5557 to the current context is now done automatically);
  5558 
  5559 * Isar/Pure: theory command 'method_setup' provides a simple interface
  5560 for definining proof methods in ML;
  5561 
  5562 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5563 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  5564 most cases, one should have to change intro!! to intro? only);
  5565 replaced "delrule" by "rule del";
  5566 
  5567 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  5568 'symmetric' attribute (the latter supercedes [RS sym]);
  5569 
  5570 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  5571 method modifier); 'simp' method: 'only:' modifier removes loopers as
  5572 well (including splits);
  5573 
  5574 * Isar/Provers: Simplifier and Classical methods now support all kind
  5575 of modifiers used in the past, including 'cong', 'iff', etc.
  5576 
  5577 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  5578 of Simplifier and Classical reasoner);
  5579 
  5580 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  5581 now support named cases; major packages (inductive, datatype, primrec,
  5582 recdef) support case names and properly name parameters;
  5583 
  5584 * Isar/HOL: new transitivity rules for substitution in inequalities --
  5585 monotonicity conditions are extracted to be proven at end of
  5586 calculations;
  5587 
  5588 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  5589 method anyway;
  5590 
  5591 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  5592 split_if split_if_asm; datatype package provides theorems foo.splits =
  5593 foo.split foo.split_asm for each datatype;
  5594 
  5595 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  5596 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  5597 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  5598 use "(cases (simplified))" method in proper proof texts);
  5599 
  5600 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  5601 
  5602 * Isar: names of theorems etc. may be natural numbers as well;
  5603 
  5604 * Isar: 'pr' command: optional arguments for goals_limit and
  5605 ProofContext.prems_limit; no longer prints theory contexts, but only
  5606 proof states;
  5607 
  5608 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  5609 additional print modes to be specified; e.g. "pr(latex)" will print
  5610 proof state according to the Isabelle LaTeX style;
  5611 
  5612 * Isar: improved support for emulating tactic scripts, including proof
  5613 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  5614 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  5615 (for HOL datatypes);
  5616 
  5617 * Isar: simplified (more robust) goal selection of proof methods: 1st
  5618 goal, all goals, or explicit goal specifier (tactic emulation); thus
  5619 'proof method scripts' have to be in depth-first order;
  5620 
  5621 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  5622 
  5623 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  5624 should instead use individual commands for printing items
  5625 (print_commands, print_methods etc.);
  5626 
  5627 * Isar: added 'nothing' --- the empty list of theorems;
  5628 
  5629 
  5630 *** HOL ***
  5631 
  5632 * HOL/MicroJava: formalization of a fragment of Java, together with a
  5633 corresponding virtual machine and a specification of its bytecode
  5634 verifier and a lightweight bytecode verifier, including proofs of
  5635 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  5636 Cornelia Pusch (see also the homepage of project Bali at
  5637 http://isabelle.in.tum.de/Bali/);
  5638 
  5639 * HOL/Algebra: new theory of rings and univariate polynomials, by
  5640 Clemens Ballarin;
  5641 
  5642 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  5643 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  5644 Rasmussen;
  5645 
  5646 * HOL/Lattice: fundamental concepts of lattice theory and order
  5647 structures, including duals, properties of bounds versus algebraic
  5648 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  5649 Theorem for complete lattices etc.; may also serve as a demonstration
  5650 for abstract algebraic reasoning using axiomatic type classes, and
  5651 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  5652 
  5653 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  5654 von Oheimb;
  5655 
  5656 * HOL/IMPP: extension of IMP with local variables and mutually
  5657 recursive procedures, by David von Oheimb;
  5658 
  5659 * HOL/Lambda: converted into new-style theory and document;
  5660 
  5661 * HOL/ex/Multiquote: example of multiple nested quotations and
  5662 anti-quotations -- basically a generalized version of de-Bruijn
  5663 representation; very useful in avoiding lifting of operations;
  5664 
  5665 * HOL/record: added general record equality rule to simpset; fixed
  5666 select-update simplification procedure to handle extended records as
  5667 well; admit "r" as field name;
  5668 
  5669 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  5670 other numeric types and also as the identity of groups, rings, etc.;
  5671 
  5672 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  5673 Types nat and int belong to this axclass;
  5674 
  5675 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  5676    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  5677    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  5678   two terms #m*u and #n*u are replaced by #(m+n)*u
  5679     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  5680   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  5681     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  5682 
  5683 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  5684 powerful prover for predicate logic but knows nothing of clasets; see
  5685 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  5686 
  5687 * HOL: new version of "case_tac" subsumes both boolean case split and
  5688 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  5689 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  5690 
  5691 * HOL: simplification no longer dives into case-expressions: only the
  5692 selector expression is simplified, but not the remaining arms; to
  5693 enable full simplification of case-expressions for datatype t, you may
  5694 remove t.weak_case_cong from the simpset, either globally (Delcongs
  5695 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  5696 
  5697 * HOL/recdef: the recursion equations generated by 'recdef' for
  5698 function 'f' are now called f.simps instead of f.rules; if all
  5699 termination conditions are proved automatically, these simplification
  5700 rules are added to the simpset, as in primrec; rules may be named
  5701 individually as well, resulting in a separate list of theorems for
  5702 each equation;
  5703 
  5704 * HOL/While is a new theory that provides a while-combinator. It
  5705 permits the definition of tail-recursive functions without the
  5706 provision of a termination measure. The latter is necessary once the
  5707 invariant proof rule for while is applied.
  5708 
  5709 * HOL: new (overloaded) notation for the set of elements below/above
  5710 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  5711 
  5712 * HOL: theorems impI, allI, ballI bound as "strip";
  5713 
  5714 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  5715 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  5716 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  5717 
  5718 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5719 
  5720 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  5721 main HOL, but was unused);
  5722 
  5723 * HOL: fewer consts declared as global (e.g. have to refer to
  5724 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  5725 
  5726 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  5727 in case of overlap with user translations (e.g. judgements over
  5728 tuples); (note that the underlying logical represenation is still
  5729 bogus);
  5730 
  5731 
  5732 *** ZF ***
  5733 
  5734 * ZF: simplification automatically cancels common terms in arithmetic
  5735 expressions over nat and int;
  5736 
  5737 * ZF: new treatment of nat to minimize type-checking: all operators
  5738 coerce their operands to a natural number using the function natify,
  5739 making the algebraic laws unconditional;
  5740 
  5741 * ZF: as above, for int: operators coerce their operands to an integer
  5742 using the function intify;
  5743 
  5744 * ZF: the integer library now contains many of the usual laws for the
  5745 orderings, including $<=, and monotonicity laws for $+ and $*;
  5746 
  5747 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  5748 simplification;
  5749 
  5750 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  5751 to the simplifier and classical reasoner simultaneously;
  5752 
  5753 
  5754 *** General ***
  5755 
  5756 * Provers: blast_tac now handles actual object-logic rules as
  5757 assumptions; note that auto_tac uses blast_tac internally as well;
  5758 
  5759 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  5760 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  5761 
  5762 * Provers: delrules now handles destruct rules as well (no longer need
  5763 explicit make_elim);
  5764 
  5765 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  5766   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5767 use instead the strong form,
  5768   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5769 in HOL, FOL and ZF the function cla_make_elim will create such rules
  5770 from destruct-rules;
  5771 
  5772 * Provers: Simplifier.easy_setup provides a fast path to basic
  5773 Simplifier setup for new object-logics;
  5774 
  5775 * Pure: AST translation rules no longer require constant head on LHS;
  5776 
  5777 * Pure: improved name spaces: ambiguous output is qualified; support
  5778 for hiding of names;
  5779 
  5780 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  5781 XSYMBOL_HOME; no longer need to do manual configuration in most
  5782 situations;
  5783 
  5784 * system: compression of ML heaps images may now be controlled via -c
  5785 option of isabelle and isatool usedir (currently only observed by
  5786 Poly/ML);
  5787 
  5788 * system: isatool installfonts may handle X-Symbol fonts as well (very
  5789 useful for remote X11);
  5790 
  5791 * system: provide TAGS file for Isabelle sources;
  5792 
  5793 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  5794 order;
  5795 
  5796 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  5797 timing flag supersedes proof_timing and Toplevel.trace;
  5798 
  5799 * ML: new combinators |>> and |>>> for incremental transformations
  5800 with secondary results (e.g. certain theory extensions):
  5801 
  5802 * ML: PureThy.add_defs gets additional argument to indicate potential
  5803 overloading (usually false);
  5804 
  5805 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  5806 results;
  5807 
  5808 
  5809 
  5810 New in Isabelle99 (October 1999)
  5811 --------------------------------
  5812 
  5813 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  5814 
  5815 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  5816 are no longer simplified.  (This allows the simplifier to unfold recursive
  5817 functional programs.)  To restore the old behaviour, declare
  5818 
  5819     Delcongs [if_weak_cong];
  5820 
  5821 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  5822 complement;
  5823 
  5824 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  5825 
  5826 * HOL/datatype: mutual_induct_tac no longer exists --
  5827   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  5828 
  5829 * HOL/typedef: fixed type inference for representing set; type
  5830 arguments now have to occur explicitly on the rhs as type constraints;
  5831 
  5832 * ZF: The con_defs part of an inductive definition may no longer refer
  5833 to constants declared in the same theory;
  5834 
  5835 * HOL, ZF: the function mk_cases, generated by the inductive
  5836 definition package, has lost an argument.  To simplify its result, it
  5837 uses the default simpset instead of a supplied list of theorems.
  5838 
  5839 * HOL/List: the constructors of type list are now Nil and Cons;
  5840 
  5841 * Simplifier: the type of the infix ML functions
  5842         setSSolver addSSolver setSolver addSolver
  5843 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  5844 for packaging solvers. A solver is created via
  5845         mk_solver: string -> (thm list -> int -> tactic) -> solver
  5846 where the string argument is only a comment.
  5847 
  5848 
  5849 *** Proof tools ***
  5850 
  5851 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  5852 decision procedure for linear arithmetic. Currently it is used for
  5853 types `nat', `int', and `real' in HOL (see below); it can, should and
  5854 will be instantiated for other types and logics as well.
  5855 
  5856 * The simplifier now accepts rewrite rules with flexible heads, eg
  5857      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  5858   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  5859   matching.
  5860 
  5861 
  5862 *** General ***
  5863 
  5864 * New Isabelle/Isar subsystem provides an alternative to traditional
  5865 tactical theorem proving; together with the ProofGeneral/isar user
  5866 interface it offers an interactive environment for developing human
  5867 readable proof documents (Isar == Intelligible semi-automated
  5868 reasoning); for further information see isatool doc isar-ref,
  5869 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  5870 
  5871 * improved and simplified presentation of theories: better HTML markup
  5872 (including colors), graph views in several sizes; isatool usedir now
  5873 provides a proper interface for user theories (via -P option); actual
  5874 document preparation based on (PDF)LaTeX is available as well (for
  5875 new-style theories only); see isatool doc system for more information;
  5876 
  5877 * native support for Proof General, both for classic Isabelle and
  5878 Isabelle/Isar;
  5879 
  5880 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  5881 using the graph browser tool;
  5882 
  5883 * Isabelle manuals now also available as PDF;
  5884 
  5885 * theory loader rewritten from scratch (may not be fully
  5886 bug-compatible); old loadpath variable has been replaced by show_path,
  5887 add_path, del_path, reset_path functions; new operations such as
  5888 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  5889 isatool doc ref);
  5890 
  5891 * improved isatool install: option -k creates KDE application icon,
  5892 option -p DIR installs standalone binaries;
  5893 
  5894 * added ML_PLATFORM setting (useful for cross-platform installations);
  5895 more robust handling of platform specific ML images for SML/NJ;
  5896 
  5897 * the settings environment is now statically scoped, i.e. it is never
  5898 created again in sub-processes invoked from isabelle, isatool, or
  5899 Isabelle;
  5900 
  5901 * path element specification '~~' refers to '$ISABELLE_HOME';
  5902 
  5903 * in locales, the "assumes" and "defines" parts may be omitted if
  5904 empty;
  5905 
  5906 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  5907 long arrows);
  5908 
  5909 * new print_mode "HTML";
  5910 
  5911 * new flag show_tags controls display of tags of theorems (which are
  5912 basically just comments that may be attached by some tools);
  5913 
  5914 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  5915 mode and goal output format:
  5916 
  5917 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  5918 244c244
  5919 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  5920 ---
  5921 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  5922 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  5923 181c181
  5924 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  5925 ---
  5926 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  5927 
  5928 * function bind_thms stores lists of theorems (cf. bind_thm);
  5929 
  5930 * new shorthand tactics ftac, eatac, datac, fatac;
  5931 
  5932 * qed (and friends) now accept "" as result name; in that case the
  5933 theorem is not stored, but proper checks and presentation of the
  5934 result still apply;
  5935 
  5936 * theorem database now also indexes constants "Trueprop", "all",
  5937 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  5938 
  5939 
  5940 *** HOL ***
  5941 
  5942 ** HOL arithmetic **
  5943 
  5944 * There are now decision procedures for linear arithmetic over nat and
  5945 int:
  5946 
  5947 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  5948 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  5949 are treated as atomic; subformulae not involving type `nat' or `int'
  5950 are ignored; quantified subformulae are ignored unless they are
  5951 positive universal or negative existential. The tactic has to be
  5952 invoked by hand and can be a little bit slow. In particular, the
  5953 running time is exponential in the number of occurrences of `min' and
  5954 `max', and `-' on `nat'.
  5955 
  5956 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  5957 (negated) (in)equalities among the premises and the conclusion into
  5958 account (i.e. no compound formulae) and does not know about `min' and
  5959 `max', and `-' on `nat'. It is fast and is used automatically by the
  5960 simplifier.
  5961 
  5962 NB: At the moment, these decision procedures do not cope with mixed
  5963 nat/int formulae where the two parts interact, such as `m < n ==>
  5964 int(m) < int(n)'.
  5965 
  5966 * HOL/Numeral provides a generic theory of numerals (encoded
  5967 efficiently as bit strings); setup for types nat/int/real is in place;
  5968 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  5969 int, existing theories and proof scripts may require a few additional
  5970 type constraints;
  5971 
  5972 * integer division and remainder can now be performed on constant
  5973 arguments;
  5974 
  5975 * many properties of integer multiplication, division and remainder
  5976 are now available;
  5977 
  5978 * An interface to the Stanford Validity Checker (SVC) is available through the
  5979 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  5980 are proved automatically.  SVC must be installed separately, and its results
  5981 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  5982 invocation of the underlying oracle).  For SVC see
  5983   http://verify.stanford.edu/SVC
  5984 
  5985 * IsaMakefile: the HOL-Real target now builds an actual image;
  5986 
  5987 
  5988 ** HOL misc **
  5989 
  5990 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  5991 (in Isabelle/Isar) -- by Gertrud Bauer;
  5992 
  5993 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  5994 analysis for assembly languages with subtypes;
  5995 
  5996 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  5997 -- avoids syntactic ambiguities and treats state, transition, and
  5998 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  5999 changed syntax and (many) tactics;
  6000 
  6001 * HOL/inductive: Now also handles more general introduction rules such
  6002   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6003   theorems are now maintained within the theory (maintained via the
  6004   "mono" attribute);
  6005 
  6006 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6007   (using function types) such as
  6008 
  6009   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6010 
  6011 * HOL/record: record_simproc (part of the default simpset) takes care
  6012 of selectors applied to updated records; record_split_tac is no longer
  6013 part of the default claset; update_defs may now be removed from the
  6014 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6015 
  6016   claset_ref () := claset() addSWrapper record_split_wrapper;
  6017   Delsimprocs [record_simproc]
  6018 
  6019 * HOL/typedef: fixed type inference for representing set; type
  6020 arguments now have to occur explicitly on the rhs as type constraints;
  6021 
  6022 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6023 names rather than an ML expression;
  6024 
  6025 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6026 supplied later.  Program schemes can be defined, such as
  6027     "While B C s = (if B s then While B C (C s) else s)"
  6028 where the well-founded relation can be chosen after B and C have been given.
  6029 
  6030 * HOL/List: the constructors of type list are now Nil and Cons;
  6031 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6032 course, ML tools referring to List.list.op # etc. have to be adapted;
  6033 
  6034 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6035 disabled by default; run isabelle with option -m HOL to get back to
  6036 the original Gordon/HOL-style output;
  6037 
  6038 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6039 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6040 
  6041 * HOL basic syntax simplified (more orthogonal): all variants of
  6042 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6043 Eps operator is provided as well: "SOME x. P[x]";
  6044 
  6045 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6046 
  6047 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  6048 thus available for user theories;
  6049 
  6050 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  6051 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  6052 time;
  6053 
  6054 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  6055 several times and then mp;
  6056 
  6057 
  6058 *** LK ***
  6059 
  6060 * the notation <<...>> is now available as a notation for sequences of
  6061 formulas;
  6062 
  6063 * the simplifier is now installed
  6064 
  6065 * the axiom system has been generalized (thanks to Soren Heilmann)
  6066 
  6067 * the classical reasoner now has a default rule database
  6068 
  6069 
  6070 *** ZF ***
  6071 
  6072 * new primrec section allows primitive recursive functions to be given
  6073 directly (as in HOL) over datatypes and the natural numbers;
  6074 
  6075 * new tactics induct_tac and exhaust_tac for induction (or case
  6076 analysis) over datatypes and the natural numbers;
  6077 
  6078 * the datatype declaration of type T now defines the recursor T_rec;
  6079 
  6080 * simplification automatically does freeness reasoning for datatype
  6081 constructors;
  6082 
  6083 * automatic type-inference, with AddTCs command to insert new
  6084 type-checking rules;
  6085 
  6086 * datatype introduction rules are now added as Safe Introduction rules
  6087 to the claset;
  6088 
  6089 * the syntax "if P then x else y" is now available in addition to
  6090 if(P,x,y);
  6091 
  6092 
  6093 *** Internal programming interfaces ***
  6094 
  6095 * tuned simplifier trace output; new flag debug_simp;
  6096 
  6097 * structures Vartab / Termtab (instances of TableFun) offer efficient
  6098 tables indexed by indexname_ord / term_ord (compatible with aconv);
  6099 
  6100 * AxClass.axclass_tac lost the theory argument;
  6101 
  6102 * tuned current_goals_markers semantics: begin / end goal avoids
  6103 printing empty lines;
  6104 
  6105 * removed prs and prs_fn hook, which was broken because it did not
  6106 include \n in its semantics, forcing writeln to add one
  6107 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  6108 string -> unit if you really want to output text without newline;
  6109 
  6110 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  6111 plain output, interface builders may have to enable 'isabelle_font'
  6112 mode to get Isabelle font glyphs as before;
  6113 
  6114 * refined token_translation interface; INCOMPATIBILITY: output length
  6115 now of type real instead of int;
  6116 
  6117 * theory loader actions may be traced via new ThyInfo.add_hook
  6118 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  6119 your own database of information attached to *whole* theories -- as
  6120 opposed to intra-theory data slots offered via TheoryDataFun;
  6121 
  6122 * proper handling of dangling sort hypotheses (at last!);
  6123 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  6124 extra sort hypotheses that can be witnessed from the type signature;
  6125 the force_strip_shyps flag is gone, any remaining shyps are simply
  6126 left in the theorem (with a warning issued by strip_shyps_warning);
  6127 
  6128 
  6129 
  6130 New in Isabelle98-1 (October 1998)
  6131 ----------------------------------
  6132 
  6133 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6134 
  6135 * several changes of automated proof tools;
  6136 
  6137 * HOL: major changes to the inductive and datatype packages, including
  6138 some minor incompatibilities of theory syntax;
  6139 
  6140 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  6141 called `inj_on';
  6142 
  6143 * HOL: removed duplicate thms in Arith:
  6144   less_imp_add_less  should be replaced by  trans_less_add1
  6145   le_imp_add_le      should be replaced by  trans_le_add1
  6146 
  6147 * HOL: unary minus is now overloaded (new type constraints may be
  6148 required);
  6149 
  6150 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  6151 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  6152 now taken as an integer constant.
  6153 
  6154 * Pure: ML function 'theory_of' renamed to 'theory';
  6155 
  6156 
  6157 *** Proof tools ***
  6158 
  6159 * Simplifier:
  6160   1. Asm_full_simp_tac is now more aggressive.
  6161      1. It will sometimes reorient premises if that increases their power to
  6162         simplify.
  6163      2. It does no longer proceed strictly from left to right but may also
  6164         rotate premises to achieve further simplification.
  6165      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  6166      old Asm_full_simp_tac in that it does not rotate premises.
  6167   2. The simplifier now knows a little bit about nat-arithmetic.
  6168 
  6169 * Classical reasoner: wrapper mechanism for the classical reasoner now
  6170 allows for selected deletion of wrappers, by introduction of names for
  6171 wrapper functionals.  This implies that addbefore, addSbefore,
  6172 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  6173 and that adding two tactics with the same name overwrites the first
  6174 one (emitting a warning).
  6175   type wrapper = (int -> tactic) -> (int -> tactic)
  6176   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  6177   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  6178   delWrapper, delSWrapper: claset *  string            -> claset
  6179   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  6180 
  6181 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  6182 semantics; addbefore now affects only the unsafe part of step_tac
  6183 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  6184 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  6185 by Force_tac;
  6186 
  6187 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  6188 compWrapper; added safe wrapper (and access functions for it);
  6189 
  6190 * HOL/split_all_tac is now much faster and fails if there is nothing
  6191 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  6192 and the names of the automatically generated variables have changed.
  6193 split_all_tac has moved within claset() from unsafe wrappers to safe
  6194 wrappers, which means that !!-bound variables are split much more
  6195 aggressively, and safe_tac and clarify_tac now split such variables.
  6196 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  6197 Note: the same holds for record_split_tac, which does the job of
  6198 split_all_tac for record fields.
  6199 
  6200 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  6201 permanently to the default simpset using Addsplits just like
  6202 Addsimps. They can be removed via Delsplits just like
  6203 Delsimps. Lower-case versions are also available.
  6204 
  6205 * HOL/Simplifier: The rule split_if is now part of the default
  6206 simpset. This means that the simplifier will eliminate all occurrences
  6207 of if-then-else in the conclusion of a goal. To prevent this, you can
  6208 either remove split_if completely from the default simpset by
  6209 `Delsplits [split_if]' or remove it in a specific call of the
  6210 simplifier using `... delsplits [split_if]'.  You can also add/delete
  6211 other case splitting rules to/from the default simpset: every datatype
  6212 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  6213 t is the name of the datatype).
  6214 
  6215 * Classical reasoner / Simplifier combination: new force_tac (and
  6216 derivatives Force_tac, force) combines rewriting and classical
  6217 reasoning (and whatever other tools) similarly to auto_tac, but is
  6218 aimed to solve the given subgoal completely.
  6219 
  6220 
  6221 *** General ***
  6222 
  6223 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  6224 and `goalw': the theory is no longer needed as an explicit argument -
  6225 the current theory context is used; assumptions are no longer returned
  6226 at the ML-level unless one of them starts with ==> or !!; it is
  6227 recommended to convert to these new commands using isatool fixgoal
  6228 (backup your sources first!);
  6229 
  6230 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  6231 the current theory context, and 'theory' to lookup stored theories;
  6232 
  6233 * new theory section 'locale' for declaring constants, assumptions and
  6234 definitions that have local scope;
  6235 
  6236 * new theory section 'nonterminals' for purely syntactic types;
  6237 
  6238 * new theory section 'setup' for generic ML setup functions
  6239 (e.g. package initialization);
  6240 
  6241 * the distribution now includes Isabelle icons: see
  6242 lib/logo/isabelle-{small,tiny}.xpm;
  6243 
  6244 * isatool install - install binaries with absolute references to
  6245 ISABELLE_HOME/bin;
  6246 
  6247 * isatool logo -- create instances of the Isabelle logo (as EPS);
  6248 
  6249 * print mode 'emacs' reserved for Isamode;
  6250 
  6251 * support multiple print (ast) translations per constant name;
  6252 
  6253 * theorems involving oracles are now printed with a suffixed [!];
  6254 
  6255 
  6256 *** HOL ***
  6257 
  6258 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  6259 
  6260 * HOL/inductive package reorganized and improved: now supports mutual
  6261 definitions such as
  6262 
  6263   inductive EVEN ODD
  6264     intrs
  6265       null "0 : EVEN"
  6266       oddI "n : EVEN ==> Suc n : ODD"
  6267       evenI "n : ODD ==> Suc n : EVEN"
  6268 
  6269 new theorem list "elims" contains an elimination rule for each of the
  6270 recursive sets; inductive definitions now handle disjunctive premises
  6271 correctly (also ZF);
  6272 
  6273 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  6274 "mutual_induct" no longer exists - the induction rule is always
  6275 contained in "induct";
  6276 
  6277 
  6278 * HOL/datatype package re-implemented and greatly improved: now
  6279 supports mutually recursive datatypes such as
  6280 
  6281   datatype
  6282     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  6283             | SUM ('a aexp) ('a aexp)
  6284             | DIFF ('a aexp) ('a aexp)
  6285             | NUM 'a
  6286   and
  6287     'a bexp = LESS ('a aexp) ('a aexp)
  6288             | AND ('a bexp) ('a bexp)
  6289             | OR ('a bexp) ('a bexp)
  6290 
  6291 as well as indirectly recursive datatypes such as
  6292 
  6293   datatype
  6294     ('a, 'b) term = Var 'a
  6295                   | App 'b ((('a, 'b) term) list)
  6296 
  6297 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  6298 induction on mutually / indirectly recursive datatypes.
  6299 
  6300 Primrec equations are now stored in theory and can be accessed via
  6301 <function_name>.simps.
  6302 
  6303 INCOMPATIBILITIES:
  6304 
  6305   - Theories using datatypes must now have theory Datatype as an
  6306     ancestor.
  6307   - The specific <typename>.induct_tac no longer exists - use the
  6308     generic induct_tac instead.
  6309   - natE has been renamed to nat.exhaust - use exhaust_tac
  6310     instead of res_inst_tac ... natE. Note that the variable
  6311     names in nat.exhaust differ from the names in natE, this
  6312     may cause some "fragile" proofs to fail.
  6313   - The theorems split_<typename>_case and split_<typename>_case_asm
  6314     have been renamed to <typename>.split and <typename>.split_asm.
  6315   - Since default sorts of type variables are now handled correctly,
  6316     some datatype definitions may have to be annotated with explicit
  6317     sort constraints.
  6318   - Primrec definitions no longer require function name and type
  6319     of recursive argument.
  6320 
  6321 Consider using isatool fixdatatype to adapt your theories and proof
  6322 scripts to the new package (backup your sources first!).
  6323 
  6324 
  6325 * HOL/record package: considerably improved implementation; now
  6326 includes concrete syntax for record types, terms, updates; theorems
  6327 for surjective pairing and splitting !!-bound record variables; proof
  6328 support is as follows:
  6329 
  6330   1) standard conversions (selectors or updates applied to record
  6331 constructor terms) are part of the standard simpset;
  6332 
  6333   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  6334 made part of standard simpset and claset via addIffs;
  6335 
  6336   3) a tactic for record field splitting (record_split_tac) is part of
  6337 the standard claset (addSWrapper);
  6338 
  6339 To get a better idea about these rules you may retrieve them via
  6340 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  6341 the name of your record type.
  6342 
  6343 The split tactic 3) conceptually simplifies by the following rule:
  6344 
  6345   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  6346 
  6347 Thus any record variable that is bound by meta-all will automatically
  6348 blow up into some record constructor term, consequently the
  6349 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  6350 solve record problems automatically.
  6351 
  6352 
  6353 * reorganized the main HOL image: HOL/Integ and String loaded by
  6354 default; theory Main includes everything;
  6355 
  6356 * automatic simplification of integer sums and comparisons, using cancellation;
  6357 
  6358 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  6359 
  6360 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  6361 
  6362 * many new identities for unions, intersections, set difference, etc.;
  6363 
  6364 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  6365 called split_if, split_split, split_sum_case and split_nat_case (to go
  6366 with add/delsplits);
  6367 
  6368 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  6369 (?x::unit) = (); this is made part of the default simpset, which COULD
  6370 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  6371 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  6372 unit_abs_eta_conv is added in order to counter the effect of
  6373 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  6374 %u.f();
  6375 
  6376 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  6377 makes more sense);
  6378 
  6379 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6380   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6381   disjointness reasoning but breaking a few old proofs.
  6382 
  6383 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  6384 to 'converse' from 'inverse' (for compatibility with ZF and some
  6385 literature);
  6386 
  6387 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  6388 the well-founded relation;
  6389 
  6390 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  6391     Compl A.  The "Compl" syntax remains available as input syntax for this
  6392     release ONLY.
  6393 
  6394 * HOL/Update: new theory of function updates:
  6395     f(a:=b) == %x. if x=a then b else f x
  6396 may also be iterated as in f(a:=b,c:=d,...);
  6397 
  6398 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  6399 
  6400 * HOL/List:
  6401   - new function list_update written xs[i:=v] that updates the i-th
  6402     list position. May also be iterated as in xs[i:=a,j:=b,...].
  6403   - new function `upt' written [i..j(] which generates the list
  6404     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  6405     bound write [i..j], which is a shorthand for [i..j+1(].
  6406   - new lexicographic orderings and corresponding wellfoundedness theorems.
  6407 
  6408 * HOL/Arith:
  6409   - removed 'pred' (predecessor) function;
  6410   - generalized some theorems about n-1;
  6411   - many new laws about "div" and "mod";
  6412   - new laws about greatest common divisors (see theory ex/Primes);
  6413 
  6414 * HOL/Relation: renamed the relational operator r^-1 "converse"
  6415 instead of "inverse";
  6416 
  6417 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  6418   of the multiset ordering;
  6419 
  6420 * directory HOL/Real: a construction of the reals using Dedekind cuts
  6421   (not included by default);
  6422 
  6423 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  6424 
  6425 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  6426   programs, i.e. different program variables may have different types.
  6427 
  6428 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6429   [previously, this check worked only if the rewrite rule was unconditional]
  6430   Now rew can involve either definitions or equalities (either == or =).
  6431 
  6432 
  6433 *** ZF ***
  6434 
  6435 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  6436   only the theorems proved on ZF.ML;
  6437 
  6438 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6439   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6440   disjointness reasoning but breaking a few old proofs.
  6441 
  6442 * ZF/Update: new theory of function updates
  6443     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  6444   may also be iterated as in f(a:=b,c:=d,...);
  6445 
  6446 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  6447 
  6448 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6449   [previously, this check worked only if the rewrite rule was unconditional]
  6450   Now rew can involve either definitions or equalities (either == or =).
  6451 
  6452 * case_tac provided for compatibility with HOL
  6453     (like the old excluded_middle_tac, but with subgoals swapped)
  6454 
  6455 
  6456 *** Internal programming interfaces ***
  6457 
  6458 * Pure: several new basic modules made available for general use, see
  6459 also src/Pure/README;
  6460 
  6461 * improved the theory data mechanism to support encapsulation (data
  6462 kind name replaced by private Object.kind, acting as authorization
  6463 key); new type-safe user interface via functor TheoryDataFun; generic
  6464 print_data function becomes basically useless;
  6465 
  6466 * removed global_names compatibility flag -- all theory declarations
  6467 are qualified by default;
  6468 
  6469 * module Pure/Syntax now offers quote / antiquote translation
  6470 functions (useful for Hoare logic etc. with implicit dependencies);
  6471 see HOL/ex/Antiquote for an example use;
  6472 
  6473 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  6474 cterm -> thm;
  6475 
  6476 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  6477 subgoal;
  6478 
  6479 * Display.print_goals function moved to Locale.print_goals;
  6480 
  6481 * standard print function for goals supports current_goals_markers
  6482 variable for marking begin of proof, end of proof, start of goal; the
  6483 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  6484 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  6485 for example;
  6486 
  6487 
  6488 
  6489 New in Isabelle98 (January 1998)
  6490 --------------------------------
  6491 
  6492 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6493 
  6494 * changed lexical syntax of terms / types: dots made part of long
  6495 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  6496 
  6497 * simpset (and claset) reference variable replaced by functions
  6498 simpset / simpset_ref;
  6499 
  6500 * no longer supports theory aliases (via merge) and non-trivial
  6501 implicit merge of thms' signatures;
  6502 
  6503 * most internal names of constants changed due to qualified names;
  6504 
  6505 * changed Pure/Sequence interface (see Pure/seq.ML);
  6506 
  6507 
  6508 *** General Changes ***
  6509 
  6510 * hierachically structured name spaces (for consts, types, axms, thms
  6511 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  6512 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  6513 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  6514 long_names for fully qualified output names; NOTE: ML programs
  6515 (special tactics, packages etc.) referring to internal names may have
  6516 to be adapted to cope with fully qualified names; in case of severe
  6517 backward campatibility problems try setting 'global_names' at compile
  6518 time to have enrything declared within a flat name space; one may also
  6519 fine tune name declarations in theories via the 'global' and 'local'
  6520 section;
  6521 
  6522 * reimplemented the implicit simpset and claset using the new anytype
  6523 data filed in signatures; references simpset:simpset ref etc. are
  6524 replaced by functions simpset:unit->simpset and
  6525 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  6526 to patch your ML files accordingly;
  6527 
  6528 * HTML output now includes theory graph data for display with Java
  6529 applet or isatool browser; data generated automatically via isatool
  6530 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  6531 
  6532 * defs may now be conditional; improved rewrite_goals_tac to handle
  6533 conditional equations;
  6534 
  6535 * defs now admits additional type arguments, using TYPE('a) syntax;
  6536 
  6537 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  6538 creates a new theory node; implicit merge of thms' signatures is
  6539 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  6540 transfer:theory->thm->thm in (rare) cases;
  6541 
  6542 * improved handling of draft signatures / theories; draft thms (and
  6543 ctyps, cterms) are automatically promoted to real ones;
  6544 
  6545 * slightly changed interfaces for oracles: admit many per theory, named
  6546 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  6547 
  6548 * print_goals: optional output of const types (set show_consts and
  6549 show_types);
  6550 
  6551 * improved output of warnings (###) and errors (***);
  6552 
  6553 * subgoal_tac displays a warning if the new subgoal has type variables;
  6554 
  6555 * removed old README and Makefiles;
  6556 
  6557 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  6558 
  6559 * removed obsolete init_pps and init_database;
  6560 
  6561 * deleted the obsolete tactical STATE, which was declared by
  6562     fun STATE tacfun st = tacfun st st;
  6563 
  6564 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  6565 (which abbreviates $HOME);
  6566 
  6567 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  6568 use isatool fixseq to adapt your ML programs (this works for fully
  6569 qualified references to the Sequence structure only!);
  6570 
  6571 * use_thy no longer requires writable current directory; it always
  6572 reloads .ML *and* .thy file, if either one is out of date;
  6573 
  6574 
  6575 *** Classical Reasoner ***
  6576 
  6577 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  6578 tactics that use classical reasoning to simplify a subgoal without
  6579 splitting it into several subgoals;
  6580 
  6581 * Safe_tac: like safe_tac but uses the default claset;
  6582 
  6583 
  6584 *** Simplifier ***
  6585 
  6586 * added simplification meta rules:
  6587     (asm_)(full_)simplify: simpset -> thm -> thm;
  6588 
  6589 * simplifier.ML no longer part of Pure -- has to be loaded by object
  6590 logics (again);
  6591 
  6592 * added prems argument to simplification procedures;
  6593 
  6594 * HOL, FOL, ZF: added infix function `addsplits':
  6595   instead of `<simpset> setloop (split_tac <thms>)'
  6596   you can simply write `<simpset> addsplits <thms>'
  6597 
  6598 
  6599 *** Syntax ***
  6600 
  6601 * TYPE('a) syntax for type reflection terms;
  6602 
  6603 * no longer handles consts with name "" -- declare as 'syntax' instead;
  6604 
  6605 * pretty printer: changed order of mixfix annotation preference (again!);
  6606 
  6607 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  6608 
  6609 
  6610 *** HOL ***
  6611 
  6612 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6613   with `addloop' of the simplifier to faciliate case splitting in premises.
  6614 
  6615 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  6616 
  6617 * HOL/Auth: new protocol proofs including some for the Internet
  6618   protocol TLS;
  6619 
  6620 * HOL/Map: new theory of `maps' a la VDM;
  6621 
  6622 * HOL/simplifier: simplification procedures nat_cancel_sums for
  6623 cancelling out common nat summands from =, <, <= (in)equalities, or
  6624 differences; simplification procedures nat_cancel_factor for
  6625 cancelling common factor from =, <, <= (in)equalities over natural
  6626 sums; nat_cancel contains both kinds of procedures, it is installed by
  6627 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  6628 
  6629 * HOL/simplifier: terms of the form
  6630   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  6631   are rewritten to
  6632   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  6633   and those of the form
  6634   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  6635   are rewritten to
  6636   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  6637 
  6638 * HOL/datatype
  6639   Each datatype `t' now comes with a theorem `split_t_case' of the form
  6640 
  6641   P(t_case f1 ... fn x) =
  6642      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  6643         ...
  6644        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  6645      )
  6646 
  6647   and a theorem `split_t_case_asm' of the form
  6648 
  6649   P(t_case f1 ... fn x) =
  6650     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  6651         ...
  6652        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  6653      )
  6654   which can be added to a simpset via `addsplits'. The existing theorems
  6655   expand_list_case and expand_option_case have been renamed to
  6656   split_list_case and split_option_case.
  6657 
  6658 * HOL/Arithmetic:
  6659   - `pred n' is automatically converted to `n-1'.
  6660     Users are strongly encouraged not to use `pred' any longer,
  6661     because it will disappear altogether at some point.
  6662   - Users are strongly encouraged to write "0 < n" rather than
  6663     "n ~= 0". Theorems and proof tools have been modified towards this
  6664     `standard'.
  6665 
  6666 * HOL/Lists:
  6667   the function "set_of_list" has been renamed "set" (and its theorems too);
  6668   the function "nth" now takes its arguments in the reverse order and
  6669   has acquired the infix notation "!" as in "xs!n".
  6670 
  6671 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  6672 
  6673 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  6674   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  6675 
  6676 * HOL/record: extensible records with schematic structural subtyping
  6677 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  6678 still lacks various theorems and concrete record syntax;
  6679 
  6680 
  6681 *** HOLCF ***
  6682 
  6683 * removed "axioms" and "generated by" sections;
  6684 
  6685 * replaced "ops" section by extended "consts" section, which is capable of
  6686   handling the continuous function space "->" directly;
  6687 
  6688 * domain package:
  6689   . proves theorems immediately and stores them in the theory,
  6690   . creates hierachical name space,
  6691   . now uses normal mixfix annotations (instead of cinfix...),
  6692   . minor changes to some names and values (for consistency),
  6693   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  6694   . separator between mutual domain defs: changed "," to "and",
  6695   . improved handling of sort constraints;  now they have to
  6696     appear on the left-hand side of the equations only;
  6697 
  6698 * fixed LAM <x,y,zs>.b syntax;
  6699 
  6700 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  6701 adm (%x. P (t x)), where P is chainfinite and t continuous;
  6702 
  6703 
  6704 *** FOL and ZF ***
  6705 
  6706 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6707   with `addloop' of the simplifier to faciliate case splitting in premises.
  6708 
  6709 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  6710 in HOL, they strip ALL and --> from proved theorems;
  6711 
  6712 
  6713 
  6714 New in Isabelle94-8 (May 1997)
  6715 ------------------------------
  6716 
  6717 *** General Changes ***
  6718 
  6719 * new utilities to build / run / maintain Isabelle etc. (in parts
  6720 still somewhat experimental); old Makefiles etc. still functional;
  6721 
  6722 * new 'Isabelle System Manual';
  6723 
  6724 * INSTALL text, together with ./configure and ./build scripts;
  6725 
  6726 * reimplemented type inference for greater efficiency, better error
  6727 messages and clean internal interface;
  6728 
  6729 * prlim command for dealing with lots of subgoals (an easier way of
  6730 setting goals_limit);
  6731 
  6732 
  6733 *** Syntax ***
  6734 
  6735 * supports alternative (named) syntax tables (parser and pretty
  6736 printer); internal interface is provided by add_modesyntax(_i);
  6737 
  6738 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  6739 be used in conjunction with the Isabelle symbol font; uses the
  6740 "symbols" syntax table;
  6741 
  6742 * added token_translation interface (may translate name tokens in
  6743 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  6744 the current print_mode); IMPORTANT: user print translation functions
  6745 are responsible for marking newly introduced bounds
  6746 (Syntax.mark_boundT);
  6747 
  6748 * token translations for modes "xterm" and "xterm_color" that display
  6749 names in bold, underline etc. or colors (which requires a color
  6750 version of xterm);
  6751 
  6752 * infixes may now be declared with names independent of their syntax;
  6753 
  6754 * added typed_print_translation (like print_translation, but may
  6755 access type of constant);
  6756 
  6757 
  6758 *** Classical Reasoner ***
  6759 
  6760 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  6761 some limitations.  Blast_tac...
  6762   + ignores addss, addbefore, addafter; this restriction is intrinsic
  6763   + ignores elimination rules that don't have the correct format
  6764         (the conclusion MUST be a formula variable)
  6765   + ignores types, which can make HOL proofs fail
  6766   + rules must not require higher-order unification, e.g. apply_type in ZF
  6767     [message "Function Var's argument not a bound variable" relates to this]
  6768   + its proof strategy is more general but can actually be slower
  6769 
  6770 * substitution with equality assumptions no longer permutes other
  6771 assumptions;
  6772 
  6773 * minor changes in semantics of addafter (now called addaltern); renamed
  6774 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  6775 (and access functions for it);
  6776 
  6777 * improved combination of classical reasoner and simplifier:
  6778   + functions for handling clasimpsets
  6779   + improvement of addss: now the simplifier is called _after_ the
  6780     safe steps.
  6781   + safe variant of addss called addSss: uses safe simplifications
  6782     _during_ the safe steps. It is more complete as it allows multiple
  6783     instantiations of unknowns (e.g. with slow_tac).
  6784 
  6785 *** Simplifier ***
  6786 
  6787 * added interface for simplification procedures (functions that
  6788 produce *proven* rewrite rules on the fly, depending on current
  6789 redex);
  6790 
  6791 * ordering on terms as parameter (used for ordered rewriting);
  6792 
  6793 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  6794 
  6795 * the solver is now split into a safe and an unsafe part.
  6796 This should be invisible for the normal user, except that the
  6797 functions setsolver and addsolver have been renamed to setSolver and
  6798 addSolver; added safe_asm_full_simp_tac;
  6799 
  6800 
  6801 *** HOL ***
  6802 
  6803 * a generic induction tactic `induct_tac' which works for all datatypes and
  6804 also for type `nat';
  6805 
  6806 * a generic case distinction tactic `exhaust_tac' which works for all
  6807 datatypes and also for type `nat';
  6808 
  6809 * each datatype comes with a function `size';
  6810 
  6811 * patterns in case expressions allow tuple patterns as arguments to
  6812 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  6813 
  6814 * primrec now also works with type nat;
  6815 
  6816 * recdef: a new declaration form, allows general recursive functions to be
  6817 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  6818 
  6819 * the constant for negation has been renamed from "not" to "Not" to
  6820 harmonize with FOL, ZF, LK, etc.;
  6821 
  6822 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  6823 infinite lists;
  6824 
  6825 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  6826 
  6827 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  6828 problems in commutative rings, using axiomatic type classes for + and *;
  6829 
  6830 * more examples in HOL/MiniML and HOL/Auth;
  6831 
  6832 * more default rewrite rules for quantifiers, union/intersection;
  6833 
  6834 * a new constant `arbitrary == @x.False';
  6835 
  6836 * HOLCF/IOA replaces old HOL/IOA;
  6837 
  6838 * HOLCF changes: derived all rules and arities
  6839   + axiomatic type classes instead of classes
  6840   + typedef instead of faking type definitions
  6841   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  6842   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  6843   + eliminated the types void, one, tr
  6844   + use unit lift and bool lift (with translations) instead of one and tr
  6845   + eliminated blift from Lift3.thy (use Def instead of blift)
  6846   all eliminated rules are derived as theorems --> no visible changes ;
  6847 
  6848 
  6849 *** ZF ***
  6850 
  6851 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  6852 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  6853 as ZF_cs addSIs [equalityI];
  6854 
  6855 
  6856 
  6857 New in Isabelle94-7 (November 96)
  6858 ---------------------------------
  6859 
  6860 * allowing negative levels (as offsets) in prlev and choplev;
  6861 
  6862 * super-linear speedup for large simplifications;
  6863 
  6864 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  6865 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  6866 FAIL); can suppress it using the command Delsimps (ex_simps @
  6867 all_simps); De Morgan laws are also now included, by default;
  6868 
  6869 * improved printing of ==>  :  ~:
  6870 
  6871 * new object-logic "Sequents" adds linear logic, while replacing LK
  6872 and Modal (thanks to Sara Kalvala);
  6873 
  6874 * HOL/Auth: correctness proofs for authentication protocols;
  6875 
  6876 * HOL: new auto_tac combines rewriting and classical reasoning (many
  6877 examples on HOL/Auth);
  6878 
  6879 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  6880 the rewriter and classical reasoner simultaneously;
  6881 
  6882 * function uresult no longer returns theorems in "standard" format;
  6883 regain previous version by: val uresult = standard o uresult;
  6884 
  6885 
  6886 
  6887 New in Isabelle94-6
  6888 -------------------
  6889 
  6890 * oracles -- these establish an interface between Isabelle and trusted
  6891 external reasoners, which may deliver results as theorems;
  6892 
  6893 * proof objects (in particular record all uses of oracles);
  6894 
  6895 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  6896 
  6897 * "constdefs" section in theory files;
  6898 
  6899 * "primrec" section (HOL) no longer requires names;
  6900 
  6901 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  6902 
  6903 
  6904 
  6905 New in Isabelle94-5
  6906 -------------------
  6907 
  6908 * reduced space requirements;
  6909 
  6910 * automatic HTML generation from theories;
  6911 
  6912 * theory files no longer require "..." (quotes) around most types;
  6913 
  6914 * new examples, including two proofs of the Church-Rosser theorem;
  6915 
  6916 * non-curried (1994) version of HOL is no longer distributed;
  6917 
  6918 
  6919 
  6920 New in Isabelle94-4
  6921 -------------------
  6922 
  6923 * greatly reduced space requirements;
  6924 
  6925 * theory files (.thy) no longer require \...\ escapes at line breaks;
  6926 
  6927 * searchable theorem database (see the section "Retrieving theorems" on
  6928 page 8 of the Reference Manual);
  6929 
  6930 * new examples, including Grabczewski's monumental case study of the
  6931 Axiom of Choice;
  6932 
  6933 * The previous version of HOL renamed to Old_HOL;
  6934 
  6935 * The new version of HOL (previously called CHOL) uses a curried syntax
  6936 for functions.  Application looks like f a b instead of f(a,b);
  6937 
  6938 * Mutually recursive inductive definitions finally work in HOL;
  6939 
  6940 * In ZF, pattern-matching on tuples is now available in all abstractions and
  6941 translates to the operator "split";
  6942 
  6943 
  6944 
  6945 New in Isabelle94-3
  6946 -------------------
  6947 
  6948 * new infix operator, addss, allowing the classical reasoner to
  6949 perform simplification at each step of its search.  Example:
  6950         fast_tac (cs addss ss)
  6951 
  6952 * a new logic, CHOL, the same as HOL, but with a curried syntax
  6953 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  6954 look like (a,b) instead of <a,b>;
  6955 
  6956 * PLEASE NOTE: CHOL will eventually replace HOL!
  6957 
  6958 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  6959 It translates to the operator "split".  A new theory of integers is available;
  6960 
  6961 * In ZF, integer numerals now denote two's-complement binary integers.
  6962 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  6963 
  6964 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  6965 of the Axiom of Choice;
  6966 
  6967 
  6968 
  6969 New in Isabelle94-2
  6970 -------------------
  6971 
  6972 * Significantly faster resolution;
  6973 
  6974 * the different sections in a .thy file can now be mixed and repeated
  6975 freely;
  6976 
  6977 * Database of theorems for FOL, HOL and ZF.  New
  6978 commands including qed, qed_goal and bind_thm store theorems in the database.
  6979 
  6980 * Simple database queries: return a named theorem (get_thm) or all theorems of
  6981 a given theory (thms_of), or find out what theory a theorem was proved in
  6982 (theory_of_thm);
  6983 
  6984 * Bugs fixed in the inductive definition and datatype packages;
  6985 
  6986 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  6987 and HOL_dup_cs obsolete;
  6988 
  6989 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  6990 have been removed;
  6991 
  6992 * Simpler definition of function space in ZF;
  6993 
  6994 * new results about cardinal and ordinal arithmetic in ZF;
  6995 
  6996 * 'subtype' facility in HOL for introducing new types as subsets of existing
  6997 types;
  6998 
  6999 :mode=text:wrap=hard:maxLineLen=72: