NEWS
author haftmann
Wed, 28 Apr 2010 13:29:39 +0200
changeset 36456 c643b23e8592
parent 36446 06081e4921d6
child 36457 e741ba542b61
permissions -rw-r--r--
empty class specifcations observe default sort
     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 * Empty class specifications observe default sort.  INCOMPATIBILITY.
    88 
    89 * Old 'axclass' has been discontinued.  Use 'class' instead.  INCOMPATIBILITY.
    90 
    91 * Code generator: simple concept for abstract datatypes obeying invariants.
    92 
    93 * Local theory specifications may depend on extra type variables that
    94 are not present in the result type -- arguments TYPE('a) :: 'a itself
    95 are added internally.  For example:
    96 
    97   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
    98 
    99 * Code generator: details of internal data cache have no impact on
   100 the user space functionality any longer.
   101 
   102 * Methods unfold_locales and intro_locales ignore non-locale subgoals.  This
   103 is more appropriate for interpretations with 'where'.  INCOMPATIBILITY.
   104 
   105 * Discontinued unnamed infix syntax (legacy feature for many years) --
   106 need to specify constant name and syntax separately.  Internal ML
   107 datatype constructors have been renamed from InfixName to Infix etc.
   108 Minor INCOMPATIBILITY.
   109 
   110 * Command 'example_proof' opens an empty proof body.  This allows to
   111 experiment with Isar, without producing any persistent result.
   112 
   113 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   114 within a local theory context, with explicit checking of the
   115 constructors involved (in contrast to the raw 'syntax' versions).
   116 
   117 * Commands 'types' and 'typedecl' now work within a local theory
   118 context -- without introducing dependencies on parameters or
   119 assumptions, which is not possible in Isabelle/Pure.
   120 
   121 * Proof terms: Type substitutions on proof constants now use canonical
   122 order of type variables. INCOMPATIBILITY: Tools working with proof
   123 terms may need to be adapted.
   124 
   125 
   126 *** HOL ***
   127 
   128 * Library theory 'RBT' renamed to 'RBT_Impl'; new library theory 'RBT'
   129 provides abstract red-black tree type which is backed by RBT_Impl
   130 as implementation.  INCOMPATIBILTY.
   131 
   132 * Command 'typedef' now works within a local theory context -- without
   133 introducing dependencies on parameters or assumptions, which is not
   134 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   135 contain multiple interpretations of local typedefs (with different
   136 non-emptiness proofs), even in a global theory context.
   137 
   138 * Theory Library/Coinductive_List has been removed -- superceded by
   139 AFP/thys/Coinductive.
   140 
   141 * Split off theory Big_Operators containing setsum, setprod, Inf_fin, Sup_fin,
   142 Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   143 
   144 * Theory "Rational" renamed to "Rat", for consistency with "Nat", "Int" etc.
   145 INCOMPATIBILITY.
   146 
   147 * New set of rules "ac_simps" provides combined assoc / commute rewrites
   148 for all interpretations of the appropriate generic locales.
   149 
   150 * Renamed theory "OrderedGroup" to "Groups" and split theory "Ring_and_Field"
   151 into theories "Rings" and "Fields";  for more appropriate and more
   152 consistent names suitable for name prefixes within the HOL theories.
   153 INCOMPATIBILITY.
   154 
   155 * Some generic constants have been put to appropriate theories:
   156   * less_eq, less: Orderings
   157   * zero, one, plus, minus, uminus, times, abs, sgn: Groups
   158   * inverse, divide: Rings
   159 INCOMPATIBILITY.
   160 
   161 * More consistent naming of type classes involving orderings (and lattices):
   162 
   163     lower_semilattice                   ~> semilattice_inf
   164     upper_semilattice                   ~> semilattice_sup
   165 
   166     dense_linear_order                  ~> dense_linorder
   167 
   168     pordered_ab_group_add               ~> ordered_ab_group_add
   169     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   170     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   171     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   172     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   173     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   174     pordered_cancel_semiring            ~> ordered_cancel_semiring
   175     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   176     pordered_comm_ring                  ~> ordered_comm_ring
   177     pordered_comm_semiring              ~> ordered_comm_semiring
   178     pordered_ring                       ~> ordered_ring
   179     pordered_ring_abs                   ~> ordered_ring_abs
   180     pordered_semiring                   ~> ordered_semiring
   181 
   182     ordered_ab_group_add                ~> linordered_ab_group_add
   183     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   184     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   185     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   186     ordered_field                       ~> linordered_field
   187     ordered_field_no_lb                 ~> linordered_field_no_lb
   188     ordered_field_no_ub                 ~> linordered_field_no_ub
   189     ordered_field_dense_linear_order    ~> dense_linordered_field
   190     ordered_idom                        ~> linordered_idom
   191     ordered_ring                        ~> linordered_ring
   192     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   193     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   194     ordered_ring_strict                 ~> linordered_ring_strict
   195     ordered_semidom                     ~> linordered_semidom
   196     ordered_semiring                    ~> linordered_semiring
   197     ordered_semiring_1                  ~> linordered_semiring_1
   198     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   199     ordered_semiring_strict             ~> linordered_semiring_strict
   200 
   201   The following slightly odd type classes have been moved to
   202   a separate theory Library/Lattice_Algebras.thy:
   203 
   204     lordered_ab_group_add               ~> lattice_ab_group_add
   205     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   206     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   207     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   208     lordered_ring                       ~> lattice_ring
   209 
   210 INCOMPATIBILITY.
   211 
   212 * Refined field classes:
   213   * classes division_ring_inverse_zero, field_inverse_zero, linordered_field_inverse_zero
   214     include rule inverse 0 = 0 -- subsumes former division_by_zero class.
   215   * numerous lemmas have been ported from field to division_ring;
   216   INCOMPATIBILITY.
   217 
   218 * Refined algebra theorem collections:
   219   * dropped theorem group group_simps, use algebra_simps instead;
   220   * dropped theorem group ring_simps, use field_simps instead;
   221   * proper theorem collection field_simps subsumes former theorem groups field_eq_simps and field_simps;
   222   * dropped lemma eq_minus_self_iff which is a duplicate for equal_neg_zero.
   223   INCOMPATIBILITY.
   224 
   225 * Theory Finite_Set and List: some lemmas have been generalized from
   226 sets to lattices:
   227 
   228   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
   229   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
   230   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
   231   union_Union_fold_union        ~> sup_Sup_fold_sup
   232   Inter_fold_inter              ~> Inf_fold_inf
   233   Union_fold_union              ~> Sup_fold_sup
   234   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
   235   union_UNION_fold_union        ~> sup_SUPR_fold_sup
   236   INTER_fold_inter              ~> INFI_fold_inf
   237   UNION_fold_union              ~> SUPR_fold_sup
   238 
   239 * Theory Complete_Lattice: lemmas top_def and bot_def have been
   240 replaced by the more convenient lemmas Inf_empty and Sup_empty.
   241 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
   242 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
   243 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
   244 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
   245 
   246 * HOLogic.strip_psplit: types are returned in syntactic order, similar
   247 to other strip and tuple operations.  INCOMPATIBILITY.
   248 
   249 * Reorganized theory Multiset: swapped notation of pointwise and multiset order:
   250   * pointwise ordering is instance of class order with standard syntax <= and <;
   251   * multiset ordering has syntax <=# and <#; partial order properties are provided
   252       by means of interpretation with prefix multiset_order;
   253   * less duplication, less historical organization of sections,
   254       conversion from associations lists to multisets, rudimentary code generation;
   255   * use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union, if needed.
   256   INCOMPATIBILITY.
   257 
   258 * Code generation: ML and OCaml code is decorated with signatures.
   259 
   260 * Theory List: added transpose.
   261 
   262 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   263 clash with new theory Quotient in Main HOL.
   264 
   265 * Library/Nat_Bijection.thy is a collection of bijective functions
   266 between nat and other types, which supersedes the older libraries
   267 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
   268 
   269   Constants:
   270   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
   271   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
   272   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
   273   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
   274   Countable.pair_encode           ~> prod_encode
   275   NatIso.prod2nat                 ~> prod_encode
   276   NatIso.nat2prod                 ~> prod_decode
   277   NatIso.sum2nat                  ~> sum_encode
   278   NatIso.nat2sum                  ~> sum_decode
   279   NatIso.list2nat                 ~> list_encode
   280   NatIso.nat2list                 ~> list_decode
   281   NatIso.set2nat                  ~> set_encode
   282   NatIso.nat2set                  ~> set_decode
   283 
   284   Lemmas:
   285   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
   286   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
   287   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
   288   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
   289   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
   290   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
   291   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
   292   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
   293   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
   294   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
   295   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
   296   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
   297   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
   298 
   299 
   300 *** ML ***
   301 
   302 * Sorts.certify_sort and derived "cert" operations for types and terms
   303 no longer minimize sorts.  Thus certification at the boundary of the
   304 inference kernel becomes invariant under addition of class relations,
   305 which is an important monotonicity principle.  Sorts are now minimized
   306 in the syntax layer only, at the boundary between the end-user and the
   307 system.  Subtle INCOMPATIBILITY, may have to use Sign.minimize_sort
   308 explicitly in rare situations.
   309 
   310 * Antiquotations for basic formal entities:
   311 
   312     @{class NAME}         -- type class
   313     @{class_syntax NAME}  -- syntax representation of the above
   314 
   315     @{type_name NAME}     -- logical type
   316     @{type_abbrev NAME}   -- type abbreviation
   317     @{nonterminal NAME}   -- type of concrete syntactic category
   318     @{type_syntax NAME}   -- syntax representation of any of the above
   319 
   320     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
   321     @{const_abbrev NAME}  -- abbreviated constant
   322     @{const_syntax NAME}  -- syntax representation of any of the above
   323 
   324 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
   325 syntax constant (cf. 'syntax' command).
   326 
   327 * Antiquotation @{make_string} inlines a function to print arbitrary
   328 values similar to the ML toplevel.  The result is compiler dependent
   329 and may fall back on "?" in certain situations.
   330 
   331 * Renamed old-style Drule.standard to Drule.export_without_context, to
   332 emphasize that this is in no way a standard operation.
   333 INCOMPATIBILITY.
   334 
   335 * Curried take and drop in library.ML; negative length is interpreted
   336 as infinity (as in chop).  INCOMPATIBILITY.
   337 
   338 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
   339 usual for resolution.  Rare INCOMPATIBILITY.
   340 
   341 * Discontinued old TheoryDataFun with its copy/init operation -- data
   342 needs to be pure.  Functor Theory_Data_PP retains the traditional
   343 Pretty.pp argument to merge, which is absent in the standard
   344 Theory_Data version.
   345 
   346 * Renamed varify/unvarify operations to varify_global/unvarify_global
   347 to emphasize that these only work in a global situation (which is
   348 quite rare).
   349 
   350 * Configuration options now admit dynamic default values, depending on
   351 the context or even global references.
   352 
   353 
   354 *** System ***
   355 
   356 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
   357 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
   358 proof terms are enabled unconditionally in the new HOL-Proofs image.
   359 
   360 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
   361 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
   362 respectively.
   363 
   364 * Old lib/scripts/polyml-platform is superseded by the
   365 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
   366 variant, even on a 64 bit machine.  The following example setting
   367 prefers 64 bit if available:
   368 
   369   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
   370 
   371 
   372 
   373 New in Isabelle2009-1 (December 2009)
   374 -------------------------------------
   375 
   376 *** General ***
   377 
   378 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
   379 one backslash should be used, even in ML sources.
   380 
   381 
   382 *** Pure ***
   383 
   384 * Locale interpretation propagates mixins along the locale hierarchy.
   385 The currently only available mixins are the equations used to map
   386 local definitions to terms of the target domain of an interpretation.
   387 
   388 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
   389 loc" to print all interpretations of locale "loc" in the theory.
   390 Interpretations in proofs are not shown.
   391 
   392 * Thoroughly revised locales tutorial.  New section on conditional
   393 interpretation.
   394 
   395 * On instantiation of classes, remaining undefined class parameters
   396 are formally declared.  INCOMPATIBILITY.
   397 
   398 
   399 *** Document preparation ***
   400 
   401 * New generalized style concept for printing terms: @{foo (style) ...}
   402 instead of @{foo_style style ...}  (old form is still retained for
   403 backward compatibility).  Styles can be also applied for
   404 antiquotations prop, term_type and typeof.
   405 
   406 
   407 *** HOL ***
   408 
   409 * New proof method "smt" for a combination of first-order logic with
   410 equality, linear and nonlinear (natural/integer/real) arithmetic, and
   411 fixed-size bitvectors; there is also basic support for higher-order
   412 features (esp. lambda abstractions).  It is an incomplete decision
   413 procedure based on external SMT solvers using the oracle mechanism;
   414 for the SMT solver Z3, this method is proof-producing.  Certificates
   415 are provided to avoid calling the external solvers solely for
   416 re-checking proofs.  Due to a remote SMT service there is no need for
   417 installing SMT solvers locally.  See src/HOL/SMT.
   418 
   419 * New commands to load and prove verification conditions generated by
   420 the Boogie program verifier or derived systems (e.g. the Verifying C
   421 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
   422 
   423 * New counterexample generator tool 'nitpick' based on the Kodkod
   424 relational model finder.  See src/HOL/Tools/Nitpick and
   425 src/HOL/Nitpick_Examples.
   426 
   427 * New commands 'code_pred' and 'values' to invoke the predicate
   428 compiler and to enumerate values of inductive predicates.
   429 
   430 * A tabled implementation of the reflexive transitive closure.
   431 
   432 * New implementation of quickcheck uses generic code generator;
   433 default generators are provided for all suitable HOL types, records
   434 and datatypes.  Old quickcheck can be re-activated importing theory
   435 Library/SML_Quickcheck.
   436 
   437 * New testing tool Mirabelle for automated proof tools.  Applies
   438 several tools and tactics like sledgehammer, metis, or quickcheck, to
   439 every proof step in a theory.  To be used in batch mode via the
   440 "mirabelle" utility.
   441 
   442 * New proof method "sos" (sum of squares) for nonlinear real
   443 arithmetic (originally due to John Harison). It requires theory
   444 Library/Sum_Of_Squares.  It is not a complete decision procedure but
   445 works well in practice on quantifier-free real arithmetic with +, -,
   446 *, ^, =, <= and <, i.e. boolean combinations of equalities and
   447 inequalities between polynomials.  It makes use of external
   448 semidefinite programming solvers.  Method "sos" generates a
   449 certificate that can be pasted into the proof thus avoiding the need
   450 to call an external tool every time the proof is checked.  See
   451 src/HOL/Library/Sum_Of_Squares.
   452 
   453 * New method "linarith" invokes existing linear arithmetic decision
   454 procedure only.
   455 
   456 * New command 'atp_minimal' reduces result produced by Sledgehammer.
   457 
   458 * New Sledgehammer option "Full Types" in Proof General settings menu.
   459 Causes full type information to be output to the ATPs.  This slows
   460 ATPs down considerably but eliminates a source of unsound "proofs"
   461 that fail later.
   462 
   463 * New method "metisFT": A version of metis that uses full type
   464 information in order to avoid failures of proof reconstruction.
   465 
   466 * New evaluator "approximate" approximates an real valued term using
   467 the same method as the approximation method.
   468 
   469 * Method "approximate" now supports arithmetic expressions as
   470 boundaries of intervals and implements interval splitting and Taylor
   471 series expansion.
   472 
   473 * ML antiquotation @{code_datatype} inserts definition of a datatype
   474 generated by the code generator; e.g. see src/HOL/Predicate.thy.
   475 
   476 * New theory SupInf of the supremum and infimum operators for sets of
   477 reals.
   478 
   479 * New theory Probability, which contains a development of measure
   480 theory, eventually leading to Lebesgue integration and probability.
   481 
   482 * Extended Multivariate Analysis to include derivation and Brouwer's
   483 fixpoint theorem.
   484 
   485 * Reorganization of number theory, INCOMPATIBILITY:
   486   - new number theory development for nat and int, in theories Divides
   487     and GCD as well as in new session Number_Theory
   488   - some constants and facts now suffixed with _nat and _int
   489     accordingly
   490   - former session NumberTheory now named Old_Number_Theory, including
   491     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
   492   - moved theory Pocklington from src/HOL/Library to
   493     src/HOL/Old_Number_Theory
   494 
   495 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
   496 lcm of finite and infinite sets. It is shown that they form a complete
   497 lattice.
   498 
   499 * Class semiring_div requires superclass no_zero_divisors and proof of
   500 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
   501 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
   502 generalized to class semiring_div, subsuming former theorems
   503 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
   504 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
   505 INCOMPATIBILITY.
   506 
   507 * Refinements to lattice classes and sets:
   508   - less default intro/elim rules in locale variant, more default
   509     intro/elim rules in class variant: more uniformity
   510   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
   511     le_inf_iff
   512   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
   513     sup_aci)
   514   - renamed ACI to inf_sup_aci
   515   - new class "boolean_algebra"
   516   - class "complete_lattice" moved to separate theory
   517     "Complete_Lattice"; corresponding constants (and abbreviations)
   518     renamed and with authentic syntax:
   519     Set.Inf ~>    Complete_Lattice.Inf
   520     Set.Sup ~>    Complete_Lattice.Sup
   521     Set.INFI ~>   Complete_Lattice.INFI
   522     Set.SUPR ~>   Complete_Lattice.SUPR
   523     Set.Inter ~>  Complete_Lattice.Inter
   524     Set.Union ~>  Complete_Lattice.Union
   525     Set.INTER ~>  Complete_Lattice.INTER
   526     Set.UNION ~>  Complete_Lattice.UNION
   527   - authentic syntax for
   528     Set.Pow
   529     Set.image
   530   - mere abbreviations:
   531     Set.empty               (for bot)
   532     Set.UNIV                (for top)
   533     Set.inter               (for inf, formerly Set.Int)
   534     Set.union               (for sup, formerly Set.Un)
   535     Complete_Lattice.Inter  (for Inf)
   536     Complete_Lattice.Union  (for Sup)
   537     Complete_Lattice.INTER  (for INFI)
   538     Complete_Lattice.UNION  (for SUPR)
   539   - object-logic definitions as far as appropriate
   540 
   541 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
   542 Un_subset_iff are explicitly deleted as default simp rules; then also
   543 their lattice counterparts le_inf_iff and le_sup_iff have to be
   544 deleted to achieve the desired effect.
   545 
   546 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
   547 rules by default any longer; the same applies to min_max.inf_absorb1
   548 etc.  INCOMPATIBILITY.
   549 
   550 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
   551 pred_set_conv by default.  INCOMPATIBILITY.
   552 
   553 * Power operations on relations and functions are now one dedicated
   554 constant "compow" with infix syntax "^^".  Power operation on
   555 multiplicative monoids retains syntax "^" and is now defined generic
   556 in class power.  INCOMPATIBILITY.
   557 
   558 * Relation composition "R O S" now has a more standard argument order:
   559 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
   560 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
   561 break, since the O_assoc rule was not rewritten like this.  Fix using
   562 O_assoc[symmetric].  The same applies to the curried version "R OO S".
   563 
   564 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
   565 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
   566 INCOMPATIBILITY.
   567 
   568 * Most rules produced by inductive and datatype package have mandatory
   569 prefixes.  INCOMPATIBILITY.
   570 
   571 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
   572 the attribute of the same name.  Each of the theorems in the list
   573 DERIV_intros assumes composition with an additional function and
   574 matches a variable to the derivative, which has to be solved by the
   575 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
   576 of most elementary terms.  Former Maclauren.DERIV_tac and
   577 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
   578 INCOMPATIBILITY.
   579 
   580 * Code generator attributes follow the usual underscore convention:
   581     code_unfold     replaces    code unfold
   582     code_post       replaces    code post
   583     etc.
   584   INCOMPATIBILITY.
   585 
   586 * Renamed methods:
   587     sizechange -> size_change
   588     induct_scheme -> induction_schema
   589   INCOMPATIBILITY.
   590 
   591 * Discontinued abbreviation "arbitrary" of constant "undefined".
   592 INCOMPATIBILITY, use "undefined" directly.
   593 
   594 * Renamed theorems:
   595     Suc_eq_add_numeral_1 -> Suc_eq_plus1
   596     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
   597     Suc_plus1 -> Suc_eq_plus1
   598     *anti_sym -> *antisym*
   599     vector_less_eq_def -> vector_le_def
   600   INCOMPATIBILITY.
   601 
   602 * Added theorem List.map_map as [simp].  Removed List.map_compose.
   603 INCOMPATIBILITY.
   604 
   605 * Removed predicate "M hassize n" (<--> card M = n & finite M).
   606 INCOMPATIBILITY.
   607 
   608 
   609 *** HOLCF ***
   610 
   611 * Theory Representable defines a class "rep" of domains that are
   612 representable (via an ep-pair) in the universal domain type "udom".
   613 Instances are provided for all type constructors defined in HOLCF.
   614 
   615 * The 'new_domain' command is a purely definitional version of the
   616 domain package, for representable domains.  Syntax is identical to the
   617 old domain package.  The 'new_domain' package also supports indirect
   618 recursion using previously-defined type constructors.  See
   619 src/HOLCF/ex/New_Domain.thy for examples.
   620 
   621 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
   622 on the left-hand side of an equation, and then performs
   623 simplification.  Rewriting is done using rules declared with the
   624 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
   625 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
   626 
   627 * The pattern-match compiler in 'fixrec' can now handle constructors
   628 with HOL function types.  Pattern-match combinators for the Pair
   629 constructor are pre-configured.
   630 
   631 * The 'fixrec' package now produces better fixed-point induction rules
   632 for mutually-recursive definitions:  Induction rules have conclusions
   633 of the form "P foo bar" instead of "P <foo, bar>".
   634 
   635 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
   636 been renamed to "below".  The name "below" now replaces "less" in many
   637 theorem names.  (Legacy theorem names using "less" are still supported
   638 as well.)
   639 
   640 * The 'fixrec' package now supports "bottom patterns".  Bottom
   641 patterns can be used to generate strictness rules, or to make
   642 functions more strict (much like the bang-patterns supported by the
   643 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
   644 examples.
   645 
   646 
   647 *** ML ***
   648 
   649 * Support for Poly/ML 5.3.0, with improved reporting of compiler
   650 errors and run-time exceptions, including detailed source positions.
   651 
   652 * Structure Name_Space (formerly NameSpace) now manages uniquely
   653 identified entries, with some additional information such as source
   654 position, logical grouping etc.
   655 
   656 * Theory and context data is now introduced by the simplified and
   657 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
   658 to be pure, but the old TheoryDataFun for mutable data (with explicit
   659 copy operation) is still available for some time.
   660 
   661 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
   662 provides a high-level programming interface to synchronized state
   663 variables with atomic update.  This works via pure function
   664 application within a critical section -- its runtime should be as
   665 short as possible; beware of deadlocks if critical code is nested,
   666 either directly or indirectly via other synchronized variables!
   667 
   668 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
   669 wraps raw ML references, explicitly indicating their non-thread-safe
   670 behaviour.  The Isar toplevel keeps this structure open, to
   671 accommodate Proof General as well as quick and dirty interactive
   672 experiments with references.
   673 
   674 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
   675 parallel tactical reasoning.
   676 
   677 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
   678 are similar to SUBPROOF, but are slightly more flexible: only the
   679 specified parts of the subgoal are imported into the context, and the
   680 body tactic may introduce new subgoals and schematic variables.
   681 
   682 * Old tactical METAHYPS, which does not observe the proof context, has
   683 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
   684 or Subgoal.FOCUS etc.
   685 
   686 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
   687 functors have their own ML name space there is no point to mark them
   688 separately.)  Minor INCOMPATIBILITY.
   689 
   690 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
   691 
   692 * Renamed several structures FooBar to Foo_Bar.  Occasional,
   693 INCOMPATIBILITY.
   694 
   695 * Operations of structure Skip_Proof no longer require quick_and_dirty
   696 mode, which avoids critical setmp.
   697 
   698 * Eliminated old Attrib.add_attributes, Method.add_methods and related
   699 combinators for "args".  INCOMPATIBILITY, need to use simplified
   700 Attrib/Method.setup introduced in Isabelle2009.
   701 
   702 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
   703 back on global_simpset_of, global_claset_of, global_clasimpset_of as
   704 last resort.  INCOMPATIBILITY.
   705 
   706 * Display.pretty_thm now requires a proper context (cf. former
   707 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
   708 or even Display.pretty_thm_without_context as last resort.
   709 INCOMPATIBILITY.
   710 
   711 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
   712 Syntax.pretty_typ/term directly, preferably with proper context
   713 instead of global theory.
   714 
   715 
   716 *** System ***
   717 
   718 * Further fine tuning of parallel proof checking, scales up to 8 cores
   719 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
   720 usedir option -q.
   721 
   722 * Support for additional "Isabelle components" via etc/components, see
   723 also the system manual.
   724 
   725 * The isabelle makeall tool now operates on all components with
   726 IsaMakefile, not just hardwired "logics".
   727 
   728 * Removed "compress" option from isabelle-process and isabelle usedir;
   729 this is always enabled.
   730 
   731 * Discontinued support for Poly/ML 4.x versions.
   732 
   733 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
   734 on a given logic image.  This requires the lighttpd webserver and is
   735 currently supported on Linux only.
   736 
   737 
   738 
   739 New in Isabelle2009 (April 2009)
   740 --------------------------------
   741 
   742 *** General ***
   743 
   744 * Simplified main Isabelle executables, with less surprises on
   745 case-insensitive file-systems (such as Mac OS).
   746 
   747   - The main Isabelle tool wrapper is now called "isabelle" instead of
   748     "isatool."
   749 
   750   - The former "isabelle" alias for "isabelle-process" has been
   751     removed (should rarely occur to regular users).
   752 
   753   - The former "isabelle-interface" and its alias "Isabelle" have been
   754     removed (interfaces are now regular Isabelle tools).
   755 
   756 Within scripts and make files, the Isabelle environment variables
   757 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
   758 respectively.  (The latter are still available as legacy feature.)
   759 
   760 The old isabelle-interface wrapper could react in confusing ways if
   761 the interface was uninstalled or changed otherwise.  Individual
   762 interface tool configuration is now more explicit, see also the
   763 Isabelle system manual.  In particular, Proof General is now available
   764 via "isabelle emacs".
   765 
   766 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
   767 purge installed copies of Isabelle executables and re-run "isabelle
   768 install -p ...", or use symlinks.
   769 
   770 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
   771 old ~/isabelle, which was slightly non-standard and apt to cause
   772 surprises on case-insensitive file-systems (such as Mac OS).
   773 
   774 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
   775 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
   776 care is required when using older releases of Isabelle.  Note that
   777 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
   778 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
   779 
   780 * Proofs of fully specified statements are run in parallel on
   781 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
   782 a regular 4-core machine, if the initial heap space is made reasonably
   783 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
   784 
   785 * The main reference manuals ("isar-ref", "implementation", and
   786 "system") have been updated and extended.  Formally checked references
   787 as hyperlinks are now available uniformly.
   788 
   789 
   790 *** Pure ***
   791 
   792 * Complete re-implementation of locales.  INCOMPATIBILITY in several
   793 respects.  The most important changes are listed below.  See the
   794 Tutorial on Locales ("locales" manual) for details.
   795 
   796 - In locale expressions, instantiation replaces renaming.  Parameters
   797 must be declared in a for clause.  To aid compatibility with previous
   798 parameter inheritance, in locale declarations, parameters that are not
   799 'touched' (instantiation position "_" or omitted) are implicitly added
   800 with their syntax at the beginning of the for clause.
   801 
   802 - Syntax from abbreviations and definitions in locales is available in
   803 locale expressions and context elements.  The latter is particularly
   804 useful in locale declarations.
   805 
   806 - More flexible mechanisms to qualify names generated by locale
   807 expressions.  Qualifiers (prefixes) may be specified in locale
   808 expressions, and can be marked as mandatory (syntax: "name!:") or
   809 optional (syntax "name?:").  The default depends for plain "name:"
   810 depends on the situation where a locale expression is used: in
   811 commands 'locale' and 'sublocale' prefixes are optional, in
   812 'interpretation' and 'interpret' prefixes are mandatory.  The old
   813 implicit qualifiers derived from the parameter names of a locale are
   814 no longer generated.
   815 
   816 - Command "sublocale l < e" replaces "interpretation l < e".  The
   817 instantiation clause in "interpretation" and "interpret" (square
   818 brackets) is no longer available.  Use locale expressions.
   819 
   820 - When converting proof scripts, mandatory qualifiers in
   821 'interpretation' and 'interpret' should be retained by default, even
   822 if this is an INCOMPATIBILITY compared to former behavior.  In the
   823 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
   824 in locale expressions range over a single locale instance only.
   825 
   826 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
   827 In existing theorem specifications replace the includes element by the
   828 respective context elements of the included locale, omitting those
   829 that are already present in the theorem specification.  Multiple
   830 assume elements of a locale should be replaced by a single one
   831 involving the locale predicate.  In the proof body, declarations (most
   832 notably theorems) may be regained by interpreting the respective
   833 locales in the proof context as required (command "interpret").
   834 
   835 If using "includes" in replacement of a target solely because the
   836 parameter types in the theorem are not as general as in the target,
   837 consider declaring a new locale with additional type constraints on
   838 the parameters (context element "constrains").
   839 
   840 - Discontinued "locale (open)".  INCOMPATIBILITY.
   841 
   842 - Locale interpretation commands no longer attempt to simplify goal.
   843 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
   844 methods intro_locales and unfold_locales to clarify.
   845 
   846 - Locale interpretation commands no longer accept interpretation
   847 attributes.  INCOMPATIBILITY.
   848 
   849 * Class declaration: so-called "base sort" must not be given in import
   850 list any longer, but is inferred from the specification.  Particularly
   851 in HOL, write
   852 
   853     class foo = ...
   854 
   855 instead of
   856 
   857     class foo = type + ...
   858 
   859 * Class target: global versions of theorems stemming do not carry a
   860 parameter prefix any longer.  INCOMPATIBILITY.
   861 
   862 * Class 'instance' command no longer accepts attached definitions.
   863 INCOMPATIBILITY, use proper 'instantiation' target instead.
   864 
   865 * Recovered hiding of consts, which was accidentally broken in
   866 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
   867 makes c inaccessible; consider using ``hide (open) const c'' instead.
   868 
   869 * Slightly more coherent Pure syntax, with updated documentation in
   870 isar-ref manual.  Removed locales meta_term_syntax and
   871 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
   872 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
   873 directly in regular applications.
   874 
   875 * There is a new syntactic category "float_const" for signed decimal
   876 fractions (e.g. 123.45 or -123.45).
   877 
   878 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
   879 interface with 'setup' command instead.
   880 
   881 * Command 'local_setup' is similar to 'setup', but operates on a local
   882 theory context.
   883 
   884 * The 'axiomatization' command now only works within a global theory
   885 context.  INCOMPATIBILITY.
   886 
   887 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
   888 hypotheses.  Sorts required in the course of reasoning need to be
   889 covered by the constraints in the initial statement, completed by the
   890 type instance information of the background theory.  Non-trivial sort
   891 hypotheses, which rarely occur in practice, may be specified via
   892 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
   893 
   894   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
   895 
   896 The result contains an implicit sort hypotheses as before --
   897 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
   898 normalization.
   899 
   900 * Generalized Isar history, with support for linear undo, direct state
   901 addressing etc.
   902 
   903 * Changed defaults for unify configuration options:
   904 
   905   unify_trace_bound = 50 (formerly 25)
   906   unify_search_bound = 60 (formerly 30)
   907 
   908 * Different bookkeeping for code equations (INCOMPATIBILITY):
   909 
   910   a) On theory merge, the last set of code equations for a particular
   911      constant is taken (in accordance with the policy applied by other
   912      parts of the code generator framework).
   913 
   914   b) Code equations stemming from explicit declarations (e.g. code
   915      attribute) gain priority over default code equations stemming
   916      from definition, primrec, fun etc.
   917 
   918 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
   919 
   920 * Unified theorem tables for both code generators.  Thus [code
   921 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
   922 
   923 * Command 'find_consts' searches for constants based on type and name
   924 patterns, e.g.
   925 
   926     find_consts "_ => bool"
   927 
   928 By default, matching is against subtypes, but it may be restricted to
   929 the whole type.  Searching by name is possible.  Multiple queries are
   930 conjunctive and queries may be negated by prefixing them with a
   931 hyphen:
   932 
   933     find_consts strict: "_ => bool" name: "Int" -"int => int"
   934 
   935 * New 'find_theorems' criterion "solves" matches theorems that
   936 directly solve the current goal (modulo higher-order unification).
   937 
   938 * Auto solve feature for main theorem statements: whenever a new goal
   939 is stated, "find_theorems solves" is called; any theorems that could
   940 solve the lemma directly are listed as part of the goal state.
   941 Cf. associated options in Proof General Isabelle settings menu,
   942 enabled by default, with reasonable timeout for pathological cases of
   943 higher-order unification.
   944 
   945 
   946 *** Document preparation ***
   947 
   948 * Antiquotation @{lemma} now imitates a regular terminal proof,
   949 demanding keyword 'by' and supporting the full method expression
   950 syntax just like the Isar command 'by'.
   951 
   952 
   953 *** HOL ***
   954 
   955 * Integrated main parts of former image HOL-Complex with HOL.  Entry
   956 points Main and Complex_Main remain as before.
   957 
   958 * Logic image HOL-Plain provides a minimal HOL with the most important
   959 tools available (inductive, datatype, primrec, ...).  This facilitates
   960 experimentation and tool development.  Note that user applications
   961 (and library theories) should never refer to anything below theory
   962 Main, as before.
   963 
   964 * Logic image HOL-Main stops at theory Main, and thus facilitates
   965 experimentation due to shorter build times.
   966 
   967 * Logic image HOL-NSA contains theories of nonstandard analysis which
   968 were previously part of former HOL-Complex.  Entry point Hyperreal
   969 remains valid, but theories formerly using Complex_Main should now use
   970 new entry point Hypercomplex.
   971 
   972 * Generic ATP manager for Sledgehammer, based on ML threads instead of
   973 Posix processes.  Avoids potentially expensive forking of the ML
   974 process.  New thread-based implementation also works on non-Unix
   975 platforms (Cygwin).  Provers are no longer hardwired, but defined
   976 within the theory via plain ML wrapper functions.  Basic Sledgehammer
   977 commands are covered in the isar-ref manual.
   978 
   979 * Wrapper scripts for remote SystemOnTPTP service allows to use
   980 sledgehammer without local ATP installation (Vampire etc.). Other
   981 provers may be included via suitable ML wrappers, see also
   982 src/HOL/ATP_Linkup.thy.
   983 
   984 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
   985 menu.
   986 
   987 * The metis method no longer fails because the theorem is too trivial
   988 (contains the empty clause).
   989 
   990 * The metis method now fails in the usual manner, rather than raising
   991 an exception, if it determines that it cannot prove the theorem.
   992 
   993 * Method "coherent" implements a prover for coherent logic (see also
   994 src/Tools/coherent.ML).
   995 
   996 * Constants "undefined" and "default" replace "arbitrary".  Usually
   997 "undefined" is the right choice to replace "arbitrary", though
   998 logically there is no difference.  INCOMPATIBILITY.
   999 
  1000 * Command "value" now integrates different evaluation mechanisms.  The
  1001 result of the first successful evaluation mechanism is printed.  In
  1002 square brackets a particular named evaluation mechanisms may be
  1003 specified (currently, [SML], [code] or [nbe]).  See further
  1004 src/HOL/ex/Eval_Examples.thy.
  1005 
  1006 * Normalization by evaluation now allows non-leftlinear equations.
  1007 Declare with attribute [code nbe].
  1008 
  1009 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1010 as the structured Isar versions "cases" and "induct", cf. the
  1011 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1012 are now presented as a list of individual projections
  1013 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1014 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1015 rare situations a different rule is selected --- notably nested tuple
  1016 elimination instead of former prod.exhaust: use explicit (case_tac t
  1017 rule: prod.exhaust) here.
  1018 
  1019 * Attributes "cases", "induct", "coinduct" support "del" option.
  1020 
  1021 * Removed fact "case_split_thm", which duplicates "case_split".
  1022 
  1023 * The option datatype has been moved to a new theory Option.  Renamed
  1024 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1025 
  1026 * New predicate "strict_mono" classifies strict functions on partial
  1027 orders.  With strict functions on linear orders, reasoning about
  1028 (in)equalities is facilitated by theorems "strict_mono_eq",
  1029 "strict_mono_less_eq" and "strict_mono_less".
  1030 
  1031 * Some set operations are now proper qualified constants with
  1032 authentic syntax.  INCOMPATIBILITY:
  1033 
  1034     op Int ~>   Set.Int
  1035     op Un ~>    Set.Un
  1036     INTER ~>    Set.INTER
  1037     UNION ~>    Set.UNION
  1038     Inter ~>    Set.Inter
  1039     Union ~>    Set.Union
  1040     {} ~>       Set.empty
  1041     UNIV ~>     Set.UNIV
  1042 
  1043 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1044 theory Set.
  1045 
  1046 * Auxiliary class "itself" has disappeared -- classes without any
  1047 parameter are treated as expected by the 'class' command.
  1048 
  1049 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1050 
  1051 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  1052 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  1053 
  1054 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  1055 method "approximation".  It proves formulas on real values by using
  1056 interval arithmetic.  In the formulas are also the transcendental
  1057 functions sin, cos, tan, atan, ln, exp and the constant pi are
  1058 allowed. For examples see
  1059 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  1060 
  1061 * Theory "Reflection" now resides in HOL/Library.
  1062 
  1063 * Entry point to Word library now simply named "Word".
  1064 INCOMPATIBILITY.
  1065 
  1066 * Made source layout more coherent with logical distribution
  1067 structure:
  1068 
  1069     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  1070     src/HOL/Library/Code_Message.thy ~> src/HOL/
  1071     src/HOL/Library/GCD.thy ~> src/HOL/
  1072     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  1073     src/HOL/Library/Parity.thy ~> src/HOL/
  1074     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  1075     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  1076     src/HOL/Real/Lubs.thy ~> src/HOL/
  1077     src/HOL/Real/PReal.thy ~> src/HOL/
  1078     src/HOL/Real/Rational.thy ~> src/HOL/
  1079     src/HOL/Real/RComplete.thy ~> src/HOL/
  1080     src/HOL/Real/RealDef.thy ~> src/HOL/
  1081     src/HOL/Real/RealPow.thy ~> src/HOL/
  1082     src/HOL/Real/Real.thy ~> src/HOL/
  1083     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  1084     src/HOL/Complex/Complex.thy ~> src/HOL/
  1085     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  1086     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  1087     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  1088     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  1089     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  1090     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  1091     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  1092     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  1093     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  1094     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  1095     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  1096     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  1097     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  1098     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  1099     src/HOL/Real/Float ~> src/HOL/Library/
  1100     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  1101     src/HOL/Real/RealVector.thy ~> src/HOL/
  1102 
  1103     src/HOL/arith_data.ML ~> src/HOL/Tools
  1104     src/HOL/hologic.ML ~> src/HOL/Tools
  1105     src/HOL/simpdata.ML ~> src/HOL/Tools
  1106     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  1107     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  1108     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  1109     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  1110     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  1111     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  1112     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  1113 
  1114     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  1115     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  1116     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  1117     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  1118     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  1119     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  1120 
  1121 * If methods "eval" and "evaluation" encounter a structured proof
  1122 state with !!/==>, only the conclusion is evaluated to True (if
  1123 possible), avoiding strange error messages.
  1124 
  1125 * Method "sizechange" automates termination proofs using (a
  1126 modification of) the size-change principle.  Requires SAT solver.  See
  1127 src/HOL/ex/Termination.thy for examples.
  1128 
  1129 * Simplifier: simproc for let expressions now unfolds if bound
  1130 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  1131 
  1132 * Method "arith": Linear arithmetic now ignores all inequalities when
  1133 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  1134 
  1135 * New attribute "arith" for facts that should always be used
  1136 automatically by arithmetic. It is intended to be used locally in
  1137 proofs, e.g.
  1138 
  1139   assumes [arith]: "x > 0"
  1140 
  1141 Global usage is discouraged because of possible performance impact.
  1142 
  1143 * New classes "top" and "bot" with corresponding operations "top" and
  1144 "bot" in theory Orderings; instantiation of class "complete_lattice"
  1145 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  1146 
  1147 * Changed definition lemma "less_fun_def" in order to provide an
  1148 instance for preorders on functions; use lemma "less_le" instead.
  1149 INCOMPATIBILITY.
  1150 
  1151 * Theory Orderings: class "wellorder" moved here, with explicit
  1152 induction rule "less_induct" as assumption.  For instantiation of
  1153 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  1154 INCOMPATIBILITY.
  1155 
  1156 * Theory Orderings: added class "preorder" as superclass of "order".
  1157 INCOMPATIBILITY: Instantiation proofs for order, linorder
  1158 etc. slightly changed.  Some theorems named order_class.* now named
  1159 preorder_class.*.
  1160 
  1161 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  1162 "diag" to "Id_on".
  1163 
  1164 * Theory Finite_Set: added a new fold combinator of type
  1165 
  1166   ('a => 'b => 'b) => 'b => 'a set => 'b
  1167 
  1168 Occasionally this is more convenient than the old fold combinator
  1169 which is now defined in terms of the new one and renamed to
  1170 fold_image.
  1171 
  1172 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  1173 and "ring_simps" have been replaced by "algebra_simps" (which can be
  1174 extended with further lemmas!).  At the moment both still exist but
  1175 the former will disappear at some point.
  1176 
  1177 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  1178 class recpower.  Type-specific simp rules for various recpower types
  1179 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  1180 
  1181 rat_power_0    -> power_0
  1182 rat_power_Suc  -> power_Suc
  1183 realpow_0      -> power_0
  1184 realpow_Suc    -> power_Suc
  1185 complexpow_0   -> power_0
  1186 complexpow_Suc -> power_Suc
  1187 power_poly_0   -> power_0
  1188 power_poly_Suc -> power_Suc
  1189 
  1190 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  1191 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  1192 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  1193 of lemmas from Divides has been generalized from nat to class
  1194 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  1195 renames resulting from duplicate elimination:
  1196 
  1197     dvd_def_mod ~>          dvd_eq_mod_eq_0
  1198     zero_dvd_iff ~>         dvd_0_left_iff
  1199     dvd_0 ~>                dvd_0_right
  1200     DIVISION_BY_ZERO_DIV ~> div_by_0
  1201     DIVISION_BY_ZERO_MOD ~> mod_by_0
  1202     mult_div ~>             div_mult_self2_is_id
  1203     mult_mod ~>             mod_mult_self2_is_0
  1204 
  1205 * Theory IntDiv: removed many lemmas that are instances of class-based
  1206 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  1207 rename old lemmas as follows:
  1208 
  1209 dvd_diff               -> nat_dvd_diff
  1210 dvd_zminus_iff         -> dvd_minus_iff
  1211 mod_add1_eq            -> mod_add_eq
  1212 mod_mult1_eq           -> mod_mult_right_eq
  1213 mod_mult1_eq'          -> mod_mult_left_eq
  1214 mod_mult_distrib_mod   -> mod_mult_eq
  1215 nat_mod_add_left_eq    -> mod_add_left_eq
  1216 nat_mod_add_right_eq   -> mod_add_right_eq
  1217 nat_mod_div_trivial    -> mod_div_trivial
  1218 nat_mod_mod_trivial    -> mod_mod_trivial
  1219 zdiv_zadd_self1        -> div_add_self1
  1220 zdiv_zadd_self2        -> div_add_self2
  1221 zdiv_zmult_self1       -> div_mult_self2_is_id
  1222 zdiv_zmult_self2       -> div_mult_self1_is_id
  1223 zdvd_triv_left         -> dvd_triv_left
  1224 zdvd_triv_right        -> dvd_triv_right
  1225 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  1226 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  1227 zmod_zadd_left_eq      -> mod_add_left_eq
  1228 zmod_zadd_right_eq     -> mod_add_right_eq
  1229 zmod_zadd_self1        -> mod_add_self1
  1230 zmod_zadd_self2        -> mod_add_self2
  1231 zmod_zadd1_eq          -> mod_add_eq
  1232 zmod_zdiff1_eq         -> mod_diff_eq
  1233 zmod_zdvd_zmod         -> mod_mod_cancel
  1234 zmod_zmod_cancel       -> mod_mod_cancel
  1235 zmod_zmult_self1       -> mod_mult_self2_is_0
  1236 zmod_zmult_self2       -> mod_mult_self1_is_0
  1237 zmod_1                 -> mod_by_1
  1238 zdiv_1                 -> div_by_1
  1239 zdvd_abs1              -> abs_dvd_iff
  1240 zdvd_abs2              -> dvd_abs_iff
  1241 zdvd_refl              -> dvd_refl
  1242 zdvd_trans             -> dvd_trans
  1243 zdvd_zadd              -> dvd_add
  1244 zdvd_zdiff             -> dvd_diff
  1245 zdvd_zminus_iff        -> dvd_minus_iff
  1246 zdvd_zminus2_iff       -> minus_dvd_iff
  1247 zdvd_zmultD            -> dvd_mult_right
  1248 zdvd_zmultD2           -> dvd_mult_left
  1249 zdvd_zmult_mono        -> mult_dvd_mono
  1250 zdvd_0_right           -> dvd_0_right
  1251 zdvd_0_left            -> dvd_0_left_iff
  1252 zdvd_1_left            -> one_dvd
  1253 zminus_dvd_iff         -> minus_dvd_iff
  1254 
  1255 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  1256 
  1257 * The real numbers offer decimal input syntax: 12.34 is translated
  1258 into 1234/10^2. This translation is not reversed upon output.
  1259 
  1260 * Theory Library/Polynomial defines an abstract type 'a poly of
  1261 univariate polynomials with coefficients of type 'a.  In addition to
  1262 the standard ring operations, it also supports div and mod.  Code
  1263 generation is also supported, using list-style constructors.
  1264 
  1265 * Theory Library/Inner_Product defines a class of real_inner for real
  1266 inner product spaces, with an overloaded operation inner :: 'a => 'a
  1267 => real.  Class real_inner is a subclass of real_normed_vector from
  1268 theory RealVector.
  1269 
  1270 * Theory Library/Product_Vector provides instances for the product
  1271 type 'a * 'b of several classes from RealVector and Inner_Product.
  1272 Definitions of addition, subtraction, scalar multiplication, norms,
  1273 and inner products are included.
  1274 
  1275 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  1276 addition to the field operations, numerals and case syntax are also
  1277 supported.
  1278 
  1279 * Theory Library/Diagonalize provides constructive version of Cantor's
  1280 first diagonalization argument.
  1281 
  1282 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  1283 zlcm (for int); carried together from various gcd/lcm developements in
  1284 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  1285 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  1286 may recover tupled syntax as follows:
  1287 
  1288     hide (open) const gcd
  1289     abbreviation gcd where
  1290       "gcd == (%(a, b). GCD.gcd a b)"
  1291     notation (output)
  1292       GCD.gcd ("gcd '(_, _')")
  1293 
  1294 The same works for lcm, zgcd, zlcm.
  1295 
  1296 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  1297 instantiations for algebraic structures.  Removed some duplicate
  1298 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  1299 
  1300 * ML antiquotation @{code} takes a constant as argument and generates
  1301 corresponding code in background and inserts name of the corresponding
  1302 resulting ML value/function/datatype constructor binding in place.
  1303 All occurrences of @{code} with a single ML block are generated
  1304 simultaneously.  Provides a generic and safe interface for
  1305 instrumentalizing code generation.  See
  1306 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  1307 In future you ought to refrain from ad-hoc compiling generated SML
  1308 code on the ML toplevel.  Note that (for technical reasons) @{code}
  1309 cannot refer to constants for which user-defined serializations are
  1310 set.  Refer to the corresponding ML counterpart directly in that
  1311 cases.
  1312 
  1313 * Command 'rep_datatype': instead of theorem names the command now
  1314 takes a list of terms denoting the constructors of the type to be
  1315 represented as datatype.  The characteristic theorems have to be
  1316 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  1317 have disappeared in favour of existing ones:
  1318 
  1319     unit_induct                 ~> unit.induct
  1320     prod_induct                 ~> prod.induct
  1321     sum_induct                  ~> sum.induct
  1322     Suc_Suc_eq                  ~> nat.inject
  1323     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  1324 
  1325 
  1326 *** HOL-Algebra ***
  1327 
  1328 * New locales for orders and lattices where the equivalence relation
  1329 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  1330 locales use a record structure with field eq for the equivalence.
  1331 
  1332 * New theory of factorial domains.
  1333 
  1334 * Units_l_inv and Units_r_inv are now simp rules by default.
  1335 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  1336 and/or r_inv will now also require deletion of these lemmas.
  1337 
  1338 * Renamed the following theorems, INCOMPATIBILITY:
  1339 
  1340 UpperD ~> Upper_memD
  1341 LowerD ~> Lower_memD
  1342 least_carrier ~> least_closed
  1343 greatest_carrier ~> greatest_closed
  1344 greatest_Lower_above ~> greatest_Lower_below
  1345 one_zero ~> carrier_one_zero
  1346 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  1347 
  1348 
  1349 *** HOL-Nominal ***
  1350 
  1351 * Nominal datatypes can now contain type-variables.
  1352 
  1353 * Commands 'nominal_inductive' and 'equivariance' work with local
  1354 theory targets.
  1355 
  1356 * Nominal primrec can now works with local theory targets and its
  1357 specification syntax now conforms to the general format as seen in
  1358 'inductive' etc.
  1359 
  1360 * Method "perm_simp" honours the standard simplifier attributes
  1361 (no_asm), (no_asm_use) etc.
  1362 
  1363 * The new predicate #* is defined like freshness, except that on the
  1364 left hand side can be a set or list of atoms.
  1365 
  1366 * Experimental command 'nominal_inductive2' derives strong induction
  1367 principles for inductive definitions.  In contrast to
  1368 'nominal_inductive', which can only deal with a fixed number of
  1369 binders, it can deal with arbitrary expressions standing for sets of
  1370 atoms to be avoided.  The only inductive definition we have at the
  1371 moment that needs this generalisation is the typing rule for Lets in
  1372 the algorithm W:
  1373 
  1374  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  1375  -----------------------------------------------------------------
  1376          Gamma |- Let x be t1 in t2 : T2
  1377 
  1378 In this rule one wants to avoid all the binders that are introduced by
  1379 "close Gamma T1".  We are looking for other examples where this
  1380 feature might be useful.  Please let us know.
  1381 
  1382 
  1383 *** HOLCF ***
  1384 
  1385 * Reimplemented the simplification procedure for proving continuity
  1386 subgoals.  The new simproc is extensible; users can declare additional
  1387 continuity introduction rules with the attribute [cont2cont].
  1388 
  1389 * The continuity simproc now uses a different introduction rule for
  1390 solving continuity subgoals on terms with lambda abstractions.  In
  1391 some rare cases the new simproc may fail to solve subgoals that the
  1392 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  1393 Potential INCOMPATIBILITY.
  1394 
  1395 * Command 'fixrec': specification syntax now conforms to the general
  1396 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  1397 examples.  INCOMPATIBILITY.
  1398 
  1399 
  1400 *** ZF ***
  1401 
  1402 * Proof of Zorn's Lemma for partial orders.
  1403 
  1404 
  1405 *** ML ***
  1406 
  1407 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  1408 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  1409 depends on multithreading, so timouts will not work before Poly/ML
  1410 5.2.1!
  1411 
  1412 * High-level support for concurrent ML programming, see
  1413 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  1414 particularly convenient to organize independent functional
  1415 computations.  The concept of "synchronized variables" provides a
  1416 higher-order interface for components with shared state, avoiding the
  1417 delicate details of mutexes and condition variables.  (Requires
  1418 Poly/ML 5.2.1 or later.)
  1419 
  1420 * ML bindings produced via Isar commands are stored within the Isar
  1421 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  1422 become thread-safe and work with undo as expected (concerning
  1423 top-level bindings, not side-effects on global references).
  1424 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  1425 compiler at runtime; really global bindings need to be given outside a
  1426 theory.  (Requires Poly/ML 5.2 or later.)
  1427 
  1428 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  1429 context.  Top-level ML bindings are stored within the proof context in
  1430 a purely sequential fashion, disregarding the nested proof structure.
  1431 ML bindings introduced by 'ML_prf' are discarded at the end of the
  1432 proof.  (Requires Poly/ML 5.2 or later.)
  1433 
  1434 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  1435 and Method.setup, as well as Isar commands 'attribute_setup' and
  1436 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  1437 existing code accordingly, or use plain 'setup' together with old
  1438 Method.add_method.
  1439 
  1440 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  1441 to 'a -> thm, while results are always tagged with an authentic oracle
  1442 name.  The Isar command 'oracle' is now polymorphic, no argument type
  1443 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  1444 accordingly.  Note that extra performance may be gained by producing
  1445 the cterm carefully, avoiding slow Thm.cterm_of.
  1446 
  1447 * Simplified interface for defining document antiquotations via
  1448 ThyOutput.antiquotation, ThyOutput.output, and optionally
  1449 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  1450 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  1451 examples.
  1452 
  1453 * More systematic treatment of long names, abstract name bindings, and
  1454 name space operations.  Basic operations on qualified names have been
  1455 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  1456 Long_Name.append.  Old type bstring has been mostly replaced by
  1457 abstract type binding (see structure Binding), which supports precise
  1458 qualification by packages and local theory targets, as well as proper
  1459 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  1460 bstring values into Binding.name, or better pass through abstract
  1461 bindings everywhere.  See further src/Pure/General/long_name.ML,
  1462 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  1463 
  1464 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  1465 LocalTheory.note etc.) now refer to the *full* internal name, not the
  1466 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  1467 
  1468 * Disposed old type and term read functions (Sign.read_def_typ,
  1469 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  1470 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  1471 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  1472 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  1473 resort for legacy applications.
  1474 
  1475 * Disposed old declarations, tactics, tactic combinators that refer to
  1476 the simpset or claset of an implicit theory (such as Addsimps,
  1477 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  1478 embedded ML text, or local_simpset_of with a proper context passed as
  1479 explicit runtime argument.
  1480 
  1481 * Rules and tactics that read instantiations (read_instantiate,
  1482 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  1483 context, which is required for parsing and type-checking.  Moreover,
  1484 the variables are specified as plain indexnames, not string encodings
  1485 thereof.  INCOMPATIBILITY.
  1486 
  1487 * Generic Toplevel.add_hook interface allows to analyze the result of
  1488 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  1489 for theorem dependency output of transactions resulting in a new
  1490 theory state.
  1491 
  1492 * ML antiquotations: block-structured compilation context indicated by
  1493 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  1494 
  1495   @{binding name}                         - basic name binding
  1496   @{let ?pat = term}                      - term abbreviation (HO matching)
  1497   @{note name = fact}                     - fact abbreviation
  1498   @{thm fact}                             - singleton fact (with attributes)
  1499   @{thms fact}                            - general fact (with attributes)
  1500   @{lemma prop by method}                 - singleton goal
  1501   @{lemma prop by meth1 meth2}            - singleton goal
  1502   @{lemma prop1 ... propN by method}      - general goal
  1503   @{lemma prop1 ... propN by meth1 meth2} - general goal
  1504   @{lemma (open) ...}                     - open derivation
  1505 
  1506 
  1507 *** System ***
  1508 
  1509 * The Isabelle "emacs" tool provides a specific interface to invoke
  1510 Proof General / Emacs, with more explicit failure if that is not
  1511 installed (the old isabelle-interface script silently falls back on
  1512 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  1513 installation location of the Proof General distribution.
  1514 
  1515 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  1516 the Isabelle process into a JVM/Scala application.  See
  1517 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  1518 process wrapper has been discontinued.)
  1519 
  1520 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  1521 
  1522 * Various status messages (with exact source position information) are
  1523 emitted, if proper markup print mode is enabled.  This allows
  1524 user-interface components to provide detailed feedback on internal
  1525 prover operations.
  1526 
  1527 
  1528 
  1529 New in Isabelle2008 (June 2008)
  1530 -------------------------------
  1531 
  1532 *** General ***
  1533 
  1534 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  1535 and updated, with formally checked references as hyperlinks.
  1536 
  1537 * Theory loader: use_thy (and similar operations) no longer set the
  1538 implicit ML context, which was occasionally hard to predict and in
  1539 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  1540 provides a proper context already.
  1541 
  1542 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1543 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  1544 'use' within a theory file will do the job.
  1545 
  1546 * Name space merge now observes canonical order, i.e. the second space
  1547 is inserted into the first one, while existing entries in the first
  1548 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  1549 swap theory imports.
  1550 
  1551 * Syntax: symbol \<chi> is now considered a letter.  Potential
  1552 INCOMPATIBILITY in identifier syntax etc.
  1553 
  1554 * Outer syntax: string tokens no longer admit escaped white space,
  1555 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  1556 white space without escapes.
  1557 
  1558 * Outer syntax: string tokens may contain arbitrary character codes
  1559 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  1560 "foo_bar".
  1561 
  1562 
  1563 *** Pure ***
  1564 
  1565 * Context-dependent token translations.  Default setup reverts locally
  1566 fixed variables, and adds hilite markup for undeclared frees.
  1567 
  1568 * Unused theorems can be found using the new command 'unused_thms'.
  1569 There are three ways of invoking it:
  1570 
  1571 (1) unused_thms
  1572      Only finds unused theorems in the current theory.
  1573 
  1574 (2) unused_thms thy_1 ... thy_n -
  1575      Finds unused theorems in the current theory and all of its ancestors,
  1576      excluding the theories thy_1 ... thy_n and all of their ancestors.
  1577 
  1578 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  1579      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  1580      their ancestors, excluding the theories thy_1 ... thy_n and all of
  1581      their ancestors.
  1582 
  1583 In order to increase the readability of the list produced by
  1584 unused_thms, theorems that have been created by a particular instance
  1585 of a theory command such as 'inductive' or 'function' are considered
  1586 to belong to the same "group", meaning that if at least one theorem in
  1587 this group is used, the other theorems in the same group are no longer
  1588 reported as unused.  Moreover, if all theorems in the group are
  1589 unused, only one theorem in the group is displayed.
  1590 
  1591 Note that proof objects have to be switched on in order for
  1592 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  1593 usually the case when using Proof General with the default settings).
  1594 
  1595 * Authentic naming of facts disallows ad-hoc overwriting of previous
  1596 theorems within the same name space.  INCOMPATIBILITY, need to remove
  1597 duplicate fact bindings, or even accidental fact duplications.  Note
  1598 that tools may maintain dynamically scoped facts systematically, using
  1599 PureThy.add_thms_dynamic.
  1600 
  1601 * Command 'hide' now allows to hide from "fact" name space as well.
  1602 
  1603 * Eliminated destructive theorem database, simpset, claset, and
  1604 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  1605 update of theories within ML code.
  1606 
  1607 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  1608 INCOMPATIBILITY, object-logics depending on former Pure require
  1609 additional setup PureThy.old_appl_syntax_setup; object-logics
  1610 depending on former CPure need to refer to Pure.
  1611 
  1612 * Commands 'use' and 'ML' are now purely functional, operating on
  1613 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  1614 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  1615 INCOMPATIBILITY.
  1616 
  1617 * Command 'setup': discontinued implicit version with ML reference.
  1618 
  1619 * Instantiation target allows for simultaneous specification of class
  1620 instance operations together with an instantiation proof.
  1621 Type-checking phase allows to refer to class operations uniformly.
  1622 See src/HOL/Complex/Complex.thy for an Isar example and
  1623 src/HOL/Library/Eval.thy for an ML example.
  1624 
  1625 * Indexing of literal facts: be more serious about including only
  1626 facts from the visible specification/proof context, but not the
  1627 background context (locale etc.).  Affects `prop` notation and method
  1628 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  1629 situations.
  1630 
  1631 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  1632 "(open)" option, which used to expose internal bound variables to the
  1633 proof text.
  1634 
  1635 * Isar statements: removed obsolete case "rule_context".
  1636 INCOMPATIBILITY, better use explicit fixes/assumes.
  1637 
  1638 * Locale proofs: default proof step now includes 'unfold_locales';
  1639 hence 'proof' without argument may be used to unfold locale
  1640 predicates.
  1641 
  1642 
  1643 *** Document preparation ***
  1644 
  1645 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  1646 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  1647 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  1648 spot); renamed link color from "darkblue" to "linkcolor" (default
  1649 value unchanged, can be redefined via \definecolor); no longer sets
  1650 "a4paper" option (unnecessary or even intrusive).
  1651 
  1652 * Antiquotation @{lemma A method} proves proposition A by the given
  1653 method (either a method name or a method name plus (optional) method
  1654 arguments in parentheses) and prints A just like @{prop A}.
  1655 
  1656 
  1657 *** HOL ***
  1658 
  1659 * New primrec package.  Specification syntax conforms in style to
  1660 definition/function/....  No separate induction rule is provided.  The
  1661 "primrec" command distinguishes old-style and new-style specifications
  1662 by syntax.  The former primrec package is now named OldPrimrecPackage.
  1663 When adjusting theories, beware: constants stemming from new-style
  1664 primrec specifications have authentic syntax.
  1665 
  1666 * Metis prover is now an order of magnitude faster, and also works
  1667 with multithreading.
  1668 
  1669 * Metis: the maximum number of clauses that can be produced from a
  1670 theorem is now given by the attribute max_clauses.  Theorems that
  1671 exceed this number are ignored, with a warning printed.
  1672 
  1673 * Sledgehammer no longer produces structured proofs by default. To
  1674 enable, declare [[sledgehammer_full = true]].  Attributes
  1675 reconstruction_modulus, reconstruction_sorts renamed
  1676 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  1677 
  1678 * Method "induct_scheme" derives user-specified induction rules
  1679 from well-founded induction and completeness of patterns. This factors
  1680 out some operations that are done internally by the function package
  1681 and makes them available separately.  See
  1682 src/HOL/ex/Induction_Scheme.thy for examples.
  1683 
  1684 * More flexible generation of measure functions for termination
  1685 proofs: Measure functions can be declared by proving a rule of the
  1686 form "is_measure f" and giving it the [measure_function] attribute.
  1687 The "is_measure" predicate is logically meaningless (always true), and
  1688 just guides the heuristic.  To find suitable measure functions, the
  1689 termination prover sets up the goal "is_measure ?f" of the appropriate
  1690 type and generates all solutions by prolog-style backwards proof using
  1691 the declared rules.
  1692 
  1693 This setup also deals with rules like 
  1694 
  1695   "is_measure f ==> is_measure (list_size f)"
  1696 
  1697 which accommodates nested datatypes that recurse through lists.
  1698 Similar rules are predeclared for products and option types.
  1699 
  1700 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  1701 
  1702   INCOMPATIBILITIES:
  1703 
  1704   - Definitions of overloaded constants on sets have to be replaced by
  1705     definitions on => and bool.
  1706 
  1707   - Some definitions of overloaded operators on sets can now be proved
  1708     using the definitions of the operators on => and bool.  Therefore,
  1709     the following theorems have been renamed:
  1710 
  1711       subset_def   -> subset_eq
  1712       psubset_def  -> psubset_eq
  1713       set_diff_def -> set_diff_eq
  1714       Compl_def    -> Compl_eq
  1715       Sup_set_def  -> Sup_set_eq
  1716       Inf_set_def  -> Inf_set_eq
  1717       sup_set_def  -> sup_set_eq
  1718       inf_set_def  -> inf_set_eq
  1719 
  1720   - Due to the incompleteness of the HO unification algorithm, some
  1721     rules such as subst may require manual instantiation, if some of
  1722     the unknowns in the rule is a set.
  1723 
  1724   - Higher order unification and forward proofs:
  1725     The proof pattern
  1726 
  1727       have "P (S::'a set)" <...>
  1728       then have "EX S. P S" ..
  1729 
  1730     no longer works (due to the incompleteness of the HO unification
  1731     algorithm) and must be replaced by the pattern
  1732 
  1733       have "EX S. P S"
  1734       proof
  1735         show "P S" <...>
  1736       qed
  1737 
  1738   - Calculational reasoning with subst (or similar rules):
  1739     The proof pattern
  1740 
  1741       have "P (S::'a set)" <...>
  1742       also have "S = T" <...>
  1743       finally have "P T" .
  1744 
  1745     no longer works (for similar reasons as the previous example) and
  1746     must be replaced by something like
  1747 
  1748       have "P (S::'a set)" <...>
  1749       moreover have "S = T" <...>
  1750       ultimately have "P T" by simp
  1751 
  1752   - Tactics or packages written in ML code:
  1753     Code performing pattern matching on types via
  1754 
  1755       Type ("set", [T]) => ...
  1756 
  1757     must be rewritten. Moreover, functions like strip_type or
  1758     binder_types no longer return the right value when applied to a
  1759     type of the form
  1760 
  1761       T1 => ... => Tn => U => bool
  1762 
  1763     rather than
  1764 
  1765       T1 => ... => Tn => U set
  1766 
  1767 * Merged theories Wellfounded_Recursion, Accessible_Part and
  1768 Wellfounded_Relations to theory Wellfounded.
  1769 
  1770 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  1771 
  1772 * Class finite no longer treats UNIV as class parameter.  Use class
  1773 enum from theory Library/Enum instead to achieve a similar effect.
  1774 INCOMPATIBILITY.
  1775 
  1776 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  1777 and "Cons".  INCOMPATIBILITY.
  1778 
  1779 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  1780 Potential INCOMPATIBILITY.
  1781 
  1782 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  1783 injective_fst_snd removed, use split_eta and prod_eqI instead.
  1784 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  1785 
  1786 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  1787 the same name in theory Orderings:
  1788 
  1789   less_trans
  1790   less_linear
  1791   le_imp_less_or_eq
  1792   le_less_trans
  1793   less_le_trans
  1794   less_not_sym
  1795   less_asym
  1796 
  1797 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  1798 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  1799 and different variable names.
  1800 
  1801 * Library/Option_ord.thy: Canonical order on option type.
  1802 
  1803 * Library/RBT.thy: Red-black trees, an efficient implementation of
  1804 finite maps.
  1805 
  1806 * Library/Countable.thy: Type class for countable types.
  1807 
  1808 * Theory Int: The representation of numerals has changed.  The infix
  1809 operator BIT and the bit datatype with constructors B0 and B1 have
  1810 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  1811 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  1812 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  1813 accordingly.
  1814 
  1815 * Theory Nat: definition of <= and < on natural numbers no longer
  1816 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  1817 le_def and less_def have disappeared.  Consider lemmas not_less
  1818 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  1819 
  1820 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  1821 (whose purpose mainly is for various fold_set functionals) have been
  1822 abandoned in favor of the existing algebraic classes
  1823 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  1824 lower_semilattice (resp. upper_semilattice) and linorder.
  1825 INCOMPATIBILITY.
  1826 
  1827 * Theory Transitive_Closure: induct and cases rules now declare proper
  1828 case_names ("base" and "step").  INCOMPATIBILITY.
  1829 
  1830 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  1831 lattices.  The form set-specific version is available as
  1832 Inductive.lfp_ordinal_induct_set.
  1833 
  1834 * Renamed theorems "power.simps" to "power_int.simps".
  1835 INCOMPATIBILITY.
  1836 
  1837 * Class semiring_div provides basic abstract properties of semirings
  1838 with division and modulo operations.  Subsumes former class dvd_mod.
  1839 
  1840 * Merged theories IntDef, Numeral and IntArith into unified theory
  1841 Int.  INCOMPATIBILITY.
  1842 
  1843 * Theory Library/Code_Index: type "index" now represents natural
  1844 numbers rather than integers.  INCOMPATIBILITY.
  1845 
  1846 * New class "uminus" with operation "uminus" (split of from class
  1847 "minus" which now only has operation "minus", binary).
  1848 INCOMPATIBILITY.
  1849 
  1850 * Constants "card", "internal_split", "option_map" now with authentic
  1851 syntax.  INCOMPATIBILITY.
  1852 
  1853 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  1854 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  1855 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  1856 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  1857 Sup_set_def, le_def, less_def, option_map_def now with object
  1858 equality.  INCOMPATIBILITY.
  1859 
  1860 * Records. Removed K_record, and replaced it by pure lambda term
  1861 %x. c. The simplifier setup is now more robust against eta expansion.
  1862 INCOMPATIBILITY: in cases explicitly referring to K_record.
  1863 
  1864 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  1865 
  1866 * Library/ListVector: new theory of arithmetic vector operations.
  1867 
  1868 * Library/Order_Relation: new theory of various orderings as sets of
  1869 pairs.  Defines preorders, partial orders, linear orders and
  1870 well-orders on sets and on types.
  1871 
  1872 
  1873 *** ZF ***
  1874 
  1875 * Renamed some theories to allow to loading both ZF and HOL in the
  1876 same session:
  1877 
  1878   Datatype  -> Datatype_ZF
  1879   Inductive -> Inductive_ZF
  1880   Int       -> Int_ZF
  1881   IntDiv    -> IntDiv_ZF
  1882   Nat       -> Nat_ZF
  1883   List      -> List_ZF
  1884   Main      -> Main_ZF
  1885 
  1886 INCOMPATIBILITY: ZF theories that import individual theories below
  1887 Main might need to be adapted.  Regular theory Main is still
  1888 available, as trivial extension of Main_ZF.
  1889 
  1890 
  1891 *** ML ***
  1892 
  1893 * ML within Isar: antiquotation @{const name} or @{const
  1894 name(typargs)} produces statically-checked Const term.
  1895 
  1896 * Functor NamedThmsFun: data is available to the user as dynamic fact
  1897 (of the same name).  Removed obsolete print command.
  1898 
  1899 * Removed obsolete "use_legacy_bindings" function.
  1900 
  1901 * The ``print mode'' is now a thread-local value derived from a global
  1902 template (the former print_mode reference), thus access becomes
  1903 non-critical.  The global print_mode reference is for session
  1904 management only; user-code should use print_mode_value,
  1905 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  1906 
  1907 * Functions system/system_out provide a robust way to invoke external
  1908 shell commands, with propagation of interrupts (requires Poly/ML
  1909 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  1910 
  1911 
  1912 *** System ***
  1913 
  1914 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  1915 in accordance with Proof General 3.7, which prefers GNU emacs.
  1916 
  1917 * isatool tty runs Isabelle process with plain tty interaction;
  1918 optional line editor may be specified via ISABELLE_LINE_EDITOR
  1919 setting, the default settings attempt to locate "ledit" and "rlwrap".
  1920 
  1921 * isatool browser now works with Cygwin as well, using general
  1922 "javapath" function defined in Isabelle process environment.
  1923 
  1924 * YXML notation provides a simple and efficient alternative to
  1925 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  1926 isatool yxml as described in the Isabelle system manual.
  1927 
  1928 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  1929 provides general wrapper for managing an Isabelle process in a robust
  1930 fashion, with ``cooked'' output from stdin/stderr.
  1931 
  1932 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  1933 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  1934 
  1935 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  1936 way of changing the user's settings is via
  1937 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  1938 script.
  1939 
  1940 * Multithreading.max_threads := 0 refers to the number of actual CPU
  1941 cores of the underlying machine, which is a good starting point for
  1942 optimal performance tuning.  The corresponding usedir option -M allows
  1943 "max" as an alias for "0".  WARNING: does not work on certain versions
  1944 of Mac OS (with Poly/ML 5.1).
  1945 
  1946 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  1947 adverse effect of Isabelle flooding interactive front-ends (notably
  1948 ProofGeneral / XEmacs).
  1949 
  1950 
  1951 
  1952 New in Isabelle2007 (November 2007)
  1953 -----------------------------------
  1954 
  1955 *** General ***
  1956 
  1957 * More uniform information about legacy features, notably a
  1958 warning/error of "Legacy feature: ...", depending on the state of the
  1959 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  1960 legacy features will disappear eventually.
  1961 
  1962 * Theory syntax: the header format ``theory A = B + C:'' has been
  1963 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  1964 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  1965 
  1966 * Theory syntax: the old non-Isar theory file format has been
  1967 discontinued altogether.  Note that ML proof scripts may still be used
  1968 with Isar theories; migration is usually quite simple with the ML
  1969 function use_legacy_bindings.  INCOMPATIBILITY.
  1970 
  1971 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  1972 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  1973 quotes.
  1974 
  1975 * Theory loader: be more serious about observing the static theory
  1976 header specifications (including optional directories), but not the
  1977 accidental file locations of previously successful loads.  The strict
  1978 update policy of former update_thy is now already performed by
  1979 use_thy, so the former has been removed; use_thys updates several
  1980 theories simultaneously, just as 'imports' within a theory header
  1981 specification, but without merging the results.  Potential
  1982 INCOMPATIBILITY: may need to refine theory headers and commands
  1983 ROOT.ML which depend on load order.
  1984 
  1985 * Theory loader: optional support for content-based file
  1986 identification, instead of the traditional scheme of full physical
  1987 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  1988 (cf. the system manual).  The new scheme allows to work with
  1989 non-finished theories in persistent session images, such that source
  1990 files may be moved later on without requiring reloads.
  1991 
  1992 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1993 file (with the same base name as the theory) are considered a legacy
  1994 feature, which will disappear eventually. Even now, the theory loader
  1995 no longer maintains dependencies on such files.
  1996 
  1997 * Syntax: the scope for resolving ambiguities via type-inference is
  1998 now limited to individual terms, instead of whole simultaneous
  1999 specifications as before. This greatly reduces the complexity of the
  2000 syntax module and improves flexibility by separating parsing and
  2001 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  2002 'fixes' etc.) are required in rare situations.
  2003 
  2004 * Syntax: constants introduced by new-style packages ('definition',
  2005 'abbreviation' etc.) are passed through the syntax module in
  2006 ``authentic mode''. This means that associated mixfix annotations
  2007 really stick to such constants, independently of potential name space
  2008 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2009 trees are represented slightly differently, may need to adapt syntax
  2010 translations accordingly. Use CONST marker in 'translations' and
  2011 @{const_syntax} antiquotation in 'parse_translation' etc.
  2012 
  2013 * Legacy goal package: reduced interface to the bare minimum required
  2014 to keep existing proof scripts running.  Most other user-level
  2015 functions are now part of the OldGoals structure, which is *not* open
  2016 by default (consider isatool expandshort before open OldGoals).
  2017 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2018 these tend to cause confusion about the actual goal (!) context being
  2019 used here, which is not necessarily the same as the_context().
  2020 
  2021 * Command 'find_theorems': supports "*" wild-card in "name:"
  2022 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2023 support a specific search form (see ProofGeneral/CHANGES).
  2024 
  2025 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2026 by default, which means that "prems" (and also "fixed variables") are
  2027 suppressed from proof state output.  Note that the ProofGeneral
  2028 settings mechanism allows to change and save options persistently, but
  2029 older versions of Isabelle will fail to start up if a negative prems
  2030 limit is imposed.
  2031 
  2032 * Local theory targets may be specified by non-nested blocks of
  2033 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2034 contain definitions, theorems etc., including any derived mechanism
  2035 that has been implemented on top of these primitives.  This concept
  2036 generalizes the existing ``theorem (in ...)'' towards more versatility
  2037 and scalability.
  2038 
  2039 * Proof General interface: proper undo of final 'end' command;
  2040 discontinued Isabelle/classic mode (ML proof scripts).
  2041 
  2042 
  2043 *** Document preparation ***
  2044 
  2045 * Added antiquotation @{theory name} which prints the given name,
  2046 after checking that it refers to a valid ancestor theory in the
  2047 current context.
  2048 
  2049 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2050 check the given source text as ML type/structure, printing verbatim.
  2051 
  2052 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  2053 "c args == rhs" given in the current context.  (Any number of
  2054 arguments may be given on the LHS.)
  2055 
  2056 
  2057 *** Pure ***
  2058 
  2059 * The 'class' package offers a combination of axclass and locale to
  2060 achieve Haskell-like type classes in Isabelle.  Definitions and
  2061 theorems within a class context produce both relative results (with
  2062 implicit parameters according to the locale context), and polymorphic
  2063 constants with qualified polymorphism (according to the class
  2064 context).  Within the body context of a 'class' target, a separate
  2065 syntax layer ("user space type system") takes care of converting
  2066 between global polymorphic consts and internal locale representation.
  2067 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  2068 "isatool doc classes" provides a tutorial.
  2069 
  2070 * Generic code generator framework allows to generate executable
  2071 code for ML and Haskell (including Isabelle classes).  A short usage
  2072 sketch:
  2073 
  2074     internal compilation:
  2075         export_code <list of constants (term syntax)> in SML
  2076     writing SML code to a file:
  2077         export_code <list of constants (term syntax)> in SML <filename>
  2078     writing OCaml code to a file:
  2079         export_code <list of constants (term syntax)> in OCaml <filename>
  2080     writing Haskell code to a bunch of files:
  2081         export_code <list of constants (term syntax)> in Haskell <filename>
  2082 
  2083     evaluating closed propositions to True/False using code generation:
  2084         method ``eval''
  2085 
  2086 Reasonable default setup of framework in HOL.
  2087 
  2088 Theorem attributs for selecting and transforming function equations theorems:
  2089 
  2090     [code fun]:        select a theorem as function equation for a specific constant
  2091     [code fun del]:    deselect a theorem as function equation for a specific constant
  2092     [code inline]:     select an equation theorem for unfolding (inlining) in place
  2093     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  2094 
  2095 User-defined serializations (target in {SML, OCaml, Haskell}):
  2096 
  2097     code_const <and-list of constants (term syntax)>
  2098       {(target) <and-list of const target syntax>}+
  2099 
  2100     code_type <and-list of type constructors>
  2101       {(target) <and-list of type target syntax>}+
  2102 
  2103     code_instance <and-list of instances>
  2104       {(target)}+
  2105         where instance ::= <type constructor> :: <class>
  2106 
  2107     code_class <and_list of classes>
  2108       {(target) <and-list of class target syntax>}+
  2109         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  2110 
  2111 code_instance and code_class only are effective to target Haskell.
  2112 
  2113 For example usage see src/HOL/ex/Codegenerator.thy and
  2114 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  2115 generation from Isabelle/HOL theories is available via "isatool doc
  2116 codegen".
  2117 
  2118 * Code generator: consts in 'consts_code' Isar commands are now
  2119 referred to by usual term syntax (including optional type
  2120 annotations).
  2121 
  2122 * Command 'no_translations' removes translation rules from theory
  2123 syntax.
  2124 
  2125 * Overloaded definitions are now actually checked for acyclic
  2126 dependencies.  The overloading scheme is slightly more general than
  2127 that of Haskell98, although Isabelle does not demand an exact
  2128 correspondence to type class and instance declarations.
  2129 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  2130 exotic versions of overloading -- at the discretion of the user!
  2131 
  2132 Polymorphic constants are represented via type arguments, i.e. the
  2133 instantiation that matches an instance against the most general
  2134 declaration given in the signature.  For example, with the declaration
  2135 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  2136 as c(nat).  Overloading is essentially simultaneous structural
  2137 recursion over such type arguments.  Incomplete specification patterns
  2138 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  2139 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  2140 Command 'print_theory' outputs the normalized system of recursive
  2141 equations, see section "definitions".
  2142 
  2143 * Configuration options are maintained within the theory or proof
  2144 context (with name and type bool/int/string), providing a very simple
  2145 interface to a poor-man's version of general context data.  Tools may
  2146 declare options in ML (e.g. using Attrib.config_int) and then refer to
  2147 these values using Config.get etc.  Users may change options via an
  2148 associated attribute of the same name.  This form of context
  2149 declaration works particularly well with commands 'declare' or
  2150 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  2151 very easy to avoid global references, which would not observe Isar
  2152 toplevel undo/redo and fail to work with multithreading.
  2153 
  2154 Various global ML references of Pure and HOL have been turned into
  2155 configuration options:
  2156 
  2157   Unify.search_bound		unify_search_bound
  2158   Unify.trace_bound		unify_trace_bound
  2159   Unify.trace_simp		unify_trace_simp
  2160   Unify.trace_types		unify_trace_types
  2161   Simplifier.simp_depth_limit	simp_depth_limit
  2162   Blast.depth_limit		blast_depth_limit
  2163   DatatypeProp.dtK		datatype_distinctness_limit
  2164   fast_arith_neq_limit  	fast_arith_neq_limit
  2165   fast_arith_split_limit	fast_arith_split_limit
  2166 
  2167 * Named collections of theorems may be easily installed as context
  2168 data using the functor NamedThmsFun (see also
  2169 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  2170 attributes; there is also a toplevel print command.  This facility is
  2171 just a common case of general context data, which is the preferred way
  2172 for anything more complex than just a list of facts in canonical
  2173 order.
  2174 
  2175 * Isar: command 'declaration' augments a local theory by generic
  2176 declaration functions written in ML.  This enables arbitrary content
  2177 being added to the context, depending on a morphism that tells the
  2178 difference of the original declaration context wrt. the application
  2179 context encountered later on.
  2180 
  2181 * Isar: proper interfaces for simplification procedures.  Command
  2182 'simproc_setup' declares named simprocs (with match patterns, and body
  2183 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  2184 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  2185 
  2186 * Isar: an extra pair of brackets around attribute declarations
  2187 abbreviates a theorem reference involving an internal dummy fact,
  2188 which will be ignored later --- only the effect of the attribute on
  2189 the background context will persist.  This form of in-place
  2190 declarations is particularly useful with commands like 'declare' and
  2191 'using', for example ``have A using [[simproc a]] by simp''.
  2192 
  2193 * Isar: method "assumption" (and implicit closing of subproofs) now
  2194 takes simple non-atomic goal assumptions into account: after applying
  2195 an assumption as a rule the resulting subgoals are solved by atomic
  2196 assumption steps.  This is particularly useful to finish 'obtain'
  2197 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  2198 without referring to the original premise "!!x. P x ==> thesis" in the
  2199 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  2200 more permissive.
  2201 
  2202 * Isar: implicit use of prems from the Isar proof context is
  2203 considered a legacy feature.  Common applications like ``have A .''
  2204 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  2205 referencing facts explicitly here improves readability and
  2206 maintainability of proof texts.
  2207 
  2208 * Isar: improper proof element 'guess' is like 'obtain', but derives
  2209 the obtained context from the course of reasoning!  For example:
  2210 
  2211   assume "EX x y. A x & B y"   -- "any previous fact"
  2212   then guess x and y by clarify
  2213 
  2214 This technique is potentially adventurous, depending on the facts and
  2215 proof tools being involved here.
  2216 
  2217 * Isar: known facts from the proof context may be specified as literal
  2218 propositions, using ASCII back-quote syntax.  This works wherever
  2219 named facts used to be allowed so far, in proof commands, proof
  2220 methods, attributes etc.  Literal facts are retrieved from the context
  2221 according to unification of type and term parameters.  For example,
  2222 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  2223 theorems in the current context, then these are valid literal facts:
  2224 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  2225 
  2226 There is also a proof method "fact" which does the same composition
  2227 for explicit goal states, e.g. the following proof texts coincide with
  2228 certain special cases of literal facts:
  2229 
  2230   have "A" by fact                 ==  note `A`
  2231   have "A ==> B" by fact           ==  note `A ==> B`
  2232   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  2233   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  2234 
  2235 * Isar: ":" (colon) is no longer a symbolic identifier character in
  2236 outer syntax.  Thus symbolic identifiers may be used without
  2237 additional white space in declarations like this: ``assume *: A''.
  2238 
  2239 * Isar: 'print_facts' prints all local facts of the current context,
  2240 both named and unnamed ones.
  2241 
  2242 * Isar: 'def' now admits simultaneous definitions, e.g.:
  2243 
  2244   def x == "t" and y == "u"
  2245 
  2246 * Isar: added command 'unfolding', which is structurally similar to
  2247 'using', but affects both the goal state and facts by unfolding given
  2248 rewrite rules.  Thus many occurrences of the 'unfold' method or
  2249 'unfolded' attribute may be replaced by first-class proof text.
  2250 
  2251 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  2252 and command 'unfolding' now all support object-level equalities
  2253 (potentially conditional).  The underlying notion of rewrite rule is
  2254 analogous to the 'rule_format' attribute, but *not* that of the
  2255 Simplifier (which is usually more generous).
  2256 
  2257 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  2258 premises of a theorem by n. Useful in conjunction with drule.
  2259 
  2260 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  2261 method expression within a sandbox consisting of the first N
  2262 sub-goals, which need to exist.  For example, ``simp_all [3]''
  2263 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  2264 simplifies all new goals that emerge from applying rule foo to the
  2265 originally first one.
  2266 
  2267 * Isar: schematic goals are no longer restricted to higher-order
  2268 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  2269 expected.
  2270 
  2271 * Isar: the conclusion of a long theorem statement is now either
  2272 'shows' (a simultaneous conjunction, as before), or 'obtains'
  2273 (essentially a disjunction of cases with local parameters and
  2274 assumptions).  The latter allows to express general elimination rules
  2275 adequately; in this notation common elimination rules look like this:
  2276 
  2277   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  2278     assumes "EX x. P x"
  2279     obtains x where "P x"
  2280 
  2281   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  2282     assumes "A & B"
  2283     obtains A and B
  2284 
  2285   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  2286     assumes "A | B"
  2287     obtains
  2288       A
  2289     | B
  2290 
  2291 The subsequent classical rules even refer to the formal "thesis"
  2292 explicitly:
  2293 
  2294   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  2295     obtains "~ thesis"
  2296 
  2297   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  2298     obtains "thesis ==> something"
  2299 
  2300 The actual proof of an 'obtains' statement is analogous to that of the
  2301 Isar proof element 'obtain', only that there may be several cases.
  2302 Optional case names may be specified in parentheses; these will be
  2303 available both in the present proof and as annotations in the
  2304 resulting rule, for later use with the 'cases' method (cf. attribute
  2305 case_names).
  2306 
  2307 * Isar: the assumptions of a long theorem statement are available as
  2308 "assms" fact in the proof context.  This is more appropriate than the
  2309 (historical) "prems", which refers to all assumptions of the current
  2310 context, including those from the target locale, proof body etc.
  2311 
  2312 * Isar: 'print_statement' prints theorems from the current theory or
  2313 proof context in long statement form, according to the syntax of a
  2314 top-level lemma.
  2315 
  2316 * Isar: 'obtain' takes an optional case name for the local context
  2317 introduction rule (default "that").
  2318 
  2319 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  2320 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  2321 to occur.
  2322 
  2323 * Pure: syntax "CONST name" produces a fully internalized constant
  2324 according to the current context.  This is particularly useful for
  2325 syntax translations that should refer to internal constant
  2326 representations independently of name spaces.
  2327 
  2328 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  2329 instead of "FOO ". This allows multiple binder declarations to coexist
  2330 in the same context.  INCOMPATIBILITY.
  2331 
  2332 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  2333 primitive that also works in a locale context (both for constants and
  2334 fixed variables). Type declaration and internal syntactic representation
  2335 of given constants retrieved from the context. Likewise, the
  2336 'no_notation' command allows to remove given syntax annotations from the
  2337 current context.
  2338 
  2339 * Isar/locales: new derived specification elements 'axiomatization',
  2340 'definition', 'abbreviation', which support type-inference, admit
  2341 object-level specifications (equality, equivalence).  See also the
  2342 isar-ref manual.  Examples:
  2343 
  2344   axiomatization
  2345     eq  (infix "===" 50) where
  2346     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  2347 
  2348   definition "f x y = x + y + 1"
  2349   definition g where "g x = f x x"
  2350 
  2351   abbreviation
  2352     neq  (infix "=!=" 50) where
  2353     "x =!= y == ~ (x === y)"
  2354 
  2355 These specifications may be also used in a locale context.  Then the
  2356 constants being introduced depend on certain fixed parameters, and the
  2357 constant name is qualified by the locale base name.  An internal
  2358 abbreviation takes care for convenient input and output, making the
  2359 parameters implicit and using the original short name.  See also
  2360 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  2361 entities from a monomorphic theory.
  2362 
  2363 Presently, abbreviations are only available 'in' a target locale, but
  2364 not inherited by general import expressions.  Also note that
  2365 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  2366 'translations' in common applications.  The "no_abbrevs" print mode
  2367 prevents folding of abbreviations in term output.
  2368 
  2369 Concrete syntax is attached to specified constants in internal form,
  2370 independently of name spaces.  The parse tree representation is
  2371 slightly different -- use 'notation' instead of raw 'syntax', and
  2372 'translations' with explicit "CONST" markup to accommodate this.
  2373 
  2374 * Pure/Isar: unified syntax for new-style specification mechanisms
  2375 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  2376 full type inference and dummy patterns ("_").  For example:
  2377 
  2378   definition "K x _ = x"
  2379 
  2380   inductive conj for A B
  2381   where "A ==> B ==> conj A B"
  2382 
  2383 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  2384 the current context.  Print mode "no_abbrevs" prevents inversion of
  2385 abbreviations on output.
  2386 
  2387 * Isar/locales: improved parameter handling: use of locales "var" and
  2388 "struct" no longer necessary; - parameter renamings are no longer
  2389 required to be injective.  For example, this allows to define
  2390 endomorphisms as locale endom = homom mult mult h.
  2391 
  2392 * Isar/locales: changed the way locales with predicates are defined.
  2393 Instead of accumulating the specification, the imported expression is
  2394 now an interpretation.  INCOMPATIBILITY: different normal form of
  2395 locale expressions.  In particular, in interpretations of locales with
  2396 predicates, goals repesenting already interpreted fragments are not
  2397 removed automatically.  Use methods `intro_locales' and
  2398 `unfold_locales'; see below.
  2399 
  2400 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  2401 provide backward reasoning on locales predicates.  The methods are
  2402 aware of interpretations and discharge corresponding goals.
  2403 `intro_locales' is less aggressive then `unfold_locales' and does not
  2404 unfold predicates to assumptions.
  2405 
  2406 * Isar/locales: the order in which locale fragments are accumulated
  2407 has changed.  This enables to override declarations from fragments due
  2408 to interpretations -- for example, unwanted simp rules.
  2409 
  2410 * Isar/locales: interpretation in theories and proof contexts has been
  2411 extended.  One may now specify (and prove) equations, which are
  2412 unfolded in interpreted theorems.  This is useful for replacing
  2413 defined concepts (constants depending on locale parameters) by
  2414 concepts already existing in the target context.  Example:
  2415 
  2416   interpretation partial_order ["op <= :: [int, int] => bool"]
  2417     where "partial_order.less (op <=) (x::int) y = (x < y)"
  2418 
  2419 Typically, the constant `partial_order.less' is created by a
  2420 definition specification element in the context of locale
  2421 partial_order.
  2422 
  2423 * Method "induct": improved internal context management to support
  2424 local fixes and defines on-the-fly. Thus explicit meta-level
  2425 connectives !!  and ==> are rarely required anymore in inductive goals
  2426 (using object-logic connectives for this purpose has been long
  2427 obsolete anyway). Common proof patterns are explained in
  2428 src/HOL/Induct/Common_Patterns.thy, see also
  2429 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  2430 examples.
  2431 
  2432 * Method "induct": improved handling of simultaneous goals. Instead of
  2433 introducing object-level conjunction, the statement is now split into
  2434 several conclusions, while the corresponding symbolic cases are nested
  2435 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  2436 see src/HOL/Induct/Common_Patterns.thy, for example.
  2437 
  2438 * Method "induct": mutual induction rules are now specified as a list
  2439 of rule sharing the same induction cases. HOL packages usually provide
  2440 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  2441 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  2442 mutual induction rules differently, i.e. like this:
  2443 
  2444   (induct rule: foo_bar.inducts)
  2445   (induct set: foo bar)
  2446   (induct pred: foo bar)
  2447   (induct type: foo bar)
  2448 
  2449 The ML function ProjectRule.projections turns old-style rules into the
  2450 new format.
  2451 
  2452 * Method "coinduct": dual of induction, see
  2453 src/HOL/Library/Coinductive_List.thy for various examples.
  2454 
  2455 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  2456 considered a legacy feature.
  2457 
  2458 * Attribute "symmetric" produces result with standardized schematic
  2459 variables (index 0).  Potential INCOMPATIBILITY.
  2460 
  2461 * Simplifier: by default the simplifier trace only shows top level
  2462 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  2463 default. Thus there is less danger of being flooded by the trace. The
  2464 trace indicates where parts have been suppressed.
  2465   
  2466 * Provers/classical: removed obsolete classical version of elim_format
  2467 attribute; classical elim/dest rules are now treated uniformly when
  2468 manipulating the claset.
  2469 
  2470 * Provers/classical: stricter checks to ensure that supplied intro,
  2471 dest and elim rules are well-formed; dest and elim rules must have at
  2472 least one premise.
  2473 
  2474 * Provers/classical: attributes dest/elim/intro take an optional
  2475 weight argument for the rule (just as the Pure versions).  Weights are
  2476 ignored by automated tools, but determine the search order of single
  2477 rule steps.
  2478 
  2479 * Syntax: input syntax now supports dummy variable binding "%_. b",
  2480 where the body does not mention the bound variable.  Note that dummy
  2481 patterns implicitly depend on their context of bounds, which makes
  2482 "{_. _}" match any set comprehension as expected.  Potential
  2483 INCOMPATIBILITY -- parse translations need to cope with syntactic
  2484 constant "_idtdummy" in the binding position.
  2485 
  2486 * Syntax: removed obsolete syntactic constant "_K" and its associated
  2487 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  2488 for example "A -> B" => "Pi A (%_. B)".
  2489 
  2490 * Pure: 'class_deps' command visualizes the subclass relation, using
  2491 the graph browser tool.
  2492 
  2493 * Pure: 'print_theory' now suppresses certain internal declarations by
  2494 default; use '!' option for full details.
  2495 
  2496 
  2497 *** HOL ***
  2498 
  2499 * Method "metis" proves goals by applying the Metis general-purpose
  2500 resolution prover (see also http://gilith.com/software/metis/).
  2501 Examples are in the directory MetisExamples.  WARNING: the
  2502 Isabelle/HOL-Metis integration does not yet work properly with
  2503 multi-threading.
  2504   
  2505 * Command 'sledgehammer' invokes external automatic theorem provers as
  2506 background processes.  It generates calls to the "metis" method if
  2507 successful. These can be pasted into the proof.  Users do not have to
  2508 wait for the automatic provers to return.  WARNING: does not really
  2509 work with multi-threading.
  2510 
  2511 * New "auto_quickcheck" feature tests outermost goal statements for
  2512 potential counter-examples.  Controlled by ML references
  2513 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  2514 5000 milliseconds).  Fails silently if statements is outside of
  2515 executable fragment, or any other codgenerator problem occurs.
  2516 
  2517 * New constant "undefined" with axiom "undefined x = undefined".
  2518 
  2519 * Added class "HOL.eq", allowing for code generation with polymorphic
  2520 equality.
  2521 
  2522 * Some renaming of class constants due to canonical name prefixing in
  2523 the new 'class' package:
  2524 
  2525     HOL.abs ~> HOL.abs_class.abs
  2526     HOL.divide ~> HOL.divide_class.divide
  2527     0 ~> HOL.zero_class.zero
  2528     1 ~> HOL.one_class.one
  2529     op + ~> HOL.plus_class.plus
  2530     op - ~> HOL.minus_class.minus
  2531     uminus ~> HOL.minus_class.uminus
  2532     op * ~> HOL.times_class.times
  2533     op < ~> HOL.ord_class.less
  2534     op <= > HOL.ord_class.less_eq
  2535     Nat.power ~> Power.power_class.power
  2536     Nat.size ~> Nat.size_class.size
  2537     Numeral.number_of ~> Numeral.number_class.number_of
  2538     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  2539     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  2540     Orderings.min ~> Orderings.ord_class.min
  2541     Orderings.max ~> Orderings.ord_class.max
  2542     Divides.op div ~> Divides.div_class.div
  2543     Divides.op mod ~> Divides.div_class.mod
  2544     Divides.op dvd ~> Divides.div_class.dvd
  2545 
  2546 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  2547 
  2548 a) User-defined constants using any of the names "plus", "minus",
  2549 "times", "less" or "less_eq". The standard syntax translations for
  2550 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  2551 names.
  2552 
  2553 b) Variables named "plus", "minus", "times", "less", "less_eq"
  2554 INCOMPATIBILITY: use more specific names.
  2555 
  2556 c) Permutative equations (e.g. "a + b = b + a")
  2557 Since the change of names also changes the order of terms, permutative
  2558 rewrite rules may get applied in a different order. Experience shows
  2559 that this is rarely the case (only two adaptions in the whole Isabelle
  2560 distribution).  INCOMPATIBILITY: rewrite proofs
  2561 
  2562 d) ML code directly refering to constant names
  2563 This in general only affects hand-written proof tactics, simprocs and
  2564 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  2565 Consider using @{const_name} antiquotation.
  2566 
  2567 * New class "default" with associated constant "default".
  2568 
  2569 * Function "sgn" is now overloaded and available on int, real, complex
  2570 (and other numeric types), using class "sgn".  Two possible defs of
  2571 sgn are given as equational assumptions in the classes sgn_if and
  2572 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  2573 INCOMPATIBILITY.
  2574 
  2575 * Locale "partial_order" now unified with class "order" (cf. theory
  2576 Orderings), added parameter "less".  INCOMPATIBILITY.
  2577 
  2578 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  2579 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  2580 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  2581 
  2582 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  2583 changed order of proof goals in instance proofs.
  2584 
  2585 * The transitivity reasoner for partial and linear orders is set up
  2586 for classes "order" and "linorder".  Instances of the reasoner are available
  2587 in all contexts importing or interpreting the corresponding locales.
  2588 Method "order" invokes the reasoner separately; the reasoner
  2589 is also integrated with the Simplifier as a solver.  Diagnostic
  2590 command 'print_orders' shows the available instances of the reasoner
  2591 in the current context.
  2592 
  2593 * Localized monotonicity predicate in theory "Orderings"; integrated
  2594 lemmas max_of_mono and min_of_mono with this predicate.
  2595 INCOMPATIBILITY.
  2596 
  2597 * Formulation of theorem "dense" changed slightly due to integration
  2598 with new class dense_linear_order.
  2599 
  2600 * Uniform lattice theory development in HOL.
  2601 
  2602     constants "meet" and "join" now named "inf" and "sup"
  2603     constant "Meet" now named "Inf"
  2604 
  2605     classes "meet_semilorder" and "join_semilorder" now named
  2606       "lower_semilattice" and "upper_semilattice"
  2607     class "lorder" now named "lattice"
  2608     class "comp_lat" now named "complete_lattice"
  2609 
  2610     Instantiation of lattice classes allows explicit definitions
  2611     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  2612 
  2613   INCOMPATIBILITY.  Theorem renames:
  2614 
  2615     meet_left_le            ~> inf_le1
  2616     meet_right_le           ~> inf_le2
  2617     join_left_le            ~> sup_ge1
  2618     join_right_le           ~> sup_ge2
  2619     meet_join_le            ~> inf_sup_ord
  2620     le_meetI                ~> le_infI
  2621     join_leI                ~> le_supI
  2622     le_meet                 ~> le_inf_iff
  2623     le_join                 ~> ge_sup_conv
  2624     meet_idempotent         ~> inf_idem
  2625     join_idempotent         ~> sup_idem
  2626     meet_comm               ~> inf_commute
  2627     join_comm               ~> sup_commute
  2628     meet_leI1               ~> le_infI1
  2629     meet_leI2               ~> le_infI2
  2630     le_joinI1               ~> le_supI1
  2631     le_joinI2               ~> le_supI2
  2632     meet_assoc              ~> inf_assoc
  2633     join_assoc              ~> sup_assoc
  2634     meet_left_comm          ~> inf_left_commute
  2635     meet_left_idempotent    ~> inf_left_idem
  2636     join_left_comm          ~> sup_left_commute
  2637     join_left_idempotent    ~> sup_left_idem
  2638     meet_aci                ~> inf_aci
  2639     join_aci                ~> sup_aci
  2640     le_def_meet             ~> le_iff_inf
  2641     le_def_join             ~> le_iff_sup
  2642     join_absorp2            ~> sup_absorb2
  2643     join_absorp1            ~> sup_absorb1
  2644     meet_absorp1            ~> inf_absorb1
  2645     meet_absorp2            ~> inf_absorb2
  2646     meet_join_absorp        ~> inf_sup_absorb
  2647     join_meet_absorp        ~> sup_inf_absorb
  2648     distrib_join_le         ~> distrib_sup_le
  2649     distrib_meet_le         ~> distrib_inf_le
  2650 
  2651     add_meet_distrib_left   ~> add_inf_distrib_left
  2652     add_join_distrib_left   ~> add_sup_distrib_left
  2653     is_join_neg_meet        ~> is_join_neg_inf
  2654     is_meet_neg_join        ~> is_meet_neg_sup
  2655     add_meet_distrib_right  ~> add_inf_distrib_right
  2656     add_join_distrib_right  ~> add_sup_distrib_right
  2657     add_meet_join_distribs  ~> add_sup_inf_distribs
  2658     join_eq_neg_meet        ~> sup_eq_neg_inf
  2659     meet_eq_neg_join        ~> inf_eq_neg_sup
  2660     add_eq_meet_join        ~> add_eq_inf_sup
  2661     meet_0_imp_0            ~> inf_0_imp_0
  2662     join_0_imp_0            ~> sup_0_imp_0
  2663     meet_0_eq_0             ~> inf_0_eq_0
  2664     join_0_eq_0             ~> sup_0_eq_0
  2665     neg_meet_eq_join        ~> neg_inf_eq_sup
  2666     neg_join_eq_meet        ~> neg_sup_eq_inf
  2667     join_eq_if              ~> sup_eq_if
  2668 
  2669     mono_meet               ~> mono_inf
  2670     mono_join               ~> mono_sup
  2671     meet_bool_eq            ~> inf_bool_eq
  2672     join_bool_eq            ~> sup_bool_eq
  2673     meet_fun_eq             ~> inf_fun_eq
  2674     join_fun_eq             ~> sup_fun_eq
  2675     meet_set_eq             ~> inf_set_eq
  2676     join_set_eq             ~> sup_set_eq
  2677     meet1_iff               ~> inf1_iff
  2678     meet2_iff               ~> inf2_iff
  2679     meet1I                  ~> inf1I
  2680     meet2I                  ~> inf2I
  2681     meet1D1                 ~> inf1D1
  2682     meet2D1                 ~> inf2D1
  2683     meet1D2                 ~> inf1D2
  2684     meet2D2                 ~> inf2D2
  2685     meet1E                  ~> inf1E
  2686     meet2E                  ~> inf2E
  2687     join1_iff               ~> sup1_iff
  2688     join2_iff               ~> sup2_iff
  2689     join1I1                 ~> sup1I1
  2690     join2I1                 ~> sup2I1
  2691     join1I1                 ~> sup1I1
  2692     join2I2                 ~> sup1I2
  2693     join1CI                 ~> sup1CI
  2694     join2CI                 ~> sup2CI
  2695     join1E                  ~> sup1E
  2696     join2E                  ~> sup2E
  2697 
  2698     is_meet_Meet            ~> is_meet_Inf
  2699     Meet_bool_def           ~> Inf_bool_def
  2700     Meet_fun_def            ~> Inf_fun_def
  2701     Meet_greatest           ~> Inf_greatest
  2702     Meet_lower              ~> Inf_lower
  2703     Meet_set_def            ~> Inf_set_def
  2704 
  2705     Sup_def                 ~> Sup_Inf
  2706     Sup_bool_eq             ~> Sup_bool_def
  2707     Sup_fun_eq              ~> Sup_fun_def
  2708     Sup_set_eq              ~> Sup_set_def
  2709 
  2710     listsp_meetI            ~> listsp_infI
  2711     listsp_meet_eq          ~> listsp_inf_eq
  2712 
  2713     meet_min                ~> inf_min
  2714     join_max                ~> sup_max
  2715 
  2716 * Added syntactic class "size"; overloaded constant "size" now has
  2717 type "'a::size ==> bool"
  2718 
  2719 * Internal reorganisation of `size' of datatypes: size theorems
  2720 "foo.size" are no longer subsumed by "foo.simps" (but are still
  2721 simplification rules by default!); theorems "prod.size" now named
  2722 "*.size".
  2723 
  2724 * Class "div" now inherits from class "times" rather than "type".
  2725 INCOMPATIBILITY.
  2726 
  2727 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  2728 Linorder etc.  have disappeared; operations defined in terms of
  2729 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  2730 
  2731 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  2732 
  2733 * HOL-Word: New extensive library and type for generic, fixed size
  2734 machine words, with arithemtic, bit-wise, shifting and rotating
  2735 operations, reflection into int, nat, and bool lists, automation for
  2736 linear arithmetic (by automatic reflection into nat or int), including
  2737 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  2738 arithmetic type classes, supporting automatic simplification of
  2739 numerals on all operations.
  2740 
  2741 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  2742 
  2743 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  2744 
  2745 * Code generator library theories:
  2746   - Code_Integer represents HOL integers by big integer literals in target
  2747     languages.
  2748   - Code_Char represents HOL characters by character literals in target
  2749     languages.
  2750   - Code_Char_chr like Code_Char, but also offers treatment of character
  2751     codes; includes Code_Integer.
  2752   - Executable_Set allows to generate code for finite sets using lists.
  2753   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  2754     denominator).
  2755   - Executable_Real implements a subset of real numbers, namly those
  2756     representable by rational numbers.
  2757   - Efficient_Nat implements natural numbers by integers, which in general will
  2758     result in higher efficency; pattern matching with 0/Suc is eliminated;
  2759     includes Code_Integer.
  2760   - Code_Index provides an additional datatype index which is mapped to
  2761     target-language built-in integers.
  2762   - Code_Message provides an additional datatype message_string which is isomorphic to
  2763     strings; messages are mapped to target-language strings.
  2764 
  2765 * New package for inductive predicates
  2766 
  2767   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  2768 
  2769     inductive
  2770       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2771       for z_1 :: U_1 and ... and z_n :: U_m
  2772     where
  2773       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2774     | ...
  2775 
  2776   with full support for type-inference, rather than
  2777 
  2778     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2779 
  2780     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2781     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2782 
  2783     inductive "s z_1 ... z_m"
  2784     intros
  2785       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2786       ...
  2787 
  2788   For backward compatibility, there is a wrapper allowing inductive
  2789   sets to be defined with the new package via
  2790 
  2791     inductive_set
  2792       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2793       for z_1 :: U_1 and ... and z_n :: U_m
  2794     where
  2795       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2796     | ...
  2797 
  2798   or
  2799 
  2800     inductive_set
  2801       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2802       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2803       for z_1 :: U_1 and ... and z_n :: U_m
  2804     where
  2805       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2806     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2807     | ...
  2808 
  2809   if the additional syntax "p ..." is required.
  2810 
  2811   Numerous examples can be found in the subdirectories src/HOL/Auth,
  2812   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  2813 
  2814   INCOMPATIBILITIES:
  2815 
  2816   - Since declaration and definition of inductive sets or predicates
  2817     is no longer separated, abbreviations involving the newly
  2818     introduced sets or predicates must be specified together with the
  2819     introduction rules after the 'where' keyword (see above), rather
  2820     than before the actual inductive definition.
  2821 
  2822   - The variables in induction and elimination rules are now
  2823     quantified in the order of their occurrence in the introduction
  2824     rules, rather than in alphabetical order. Since this may break
  2825     some proofs, these proofs either have to be repaired, e.g. by
  2826     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  2827     statements of the form
  2828 
  2829       case (rule_i a_i_1 ... a_i_{k_i})
  2830 
  2831     or the old order of quantification has to be restored by explicitly adding
  2832     meta-level quantifiers in the introduction rules, i.e.
  2833 
  2834       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  2835 
  2836   - The format of the elimination rules is now
  2837 
  2838       p z_1 ... z_m x_1 ... x_n ==>
  2839         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2840         ==> ... ==> P
  2841 
  2842     for predicates and
  2843 
  2844       (x_1, ..., x_n) : s z_1 ... z_m ==>
  2845         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2846         ==> ... ==> P
  2847 
  2848     for sets rather than
  2849 
  2850       x : s z_1 ... z_m ==>
  2851         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  2852         ==> ... ==> P
  2853 
  2854     This may require terms in goals to be expanded to n-tuples
  2855     (e.g. using case_tac or simplification with the split_paired_all
  2856     rule) before the above elimination rule is applicable.
  2857 
  2858   - The elimination or case analysis rules for (mutually) inductive
  2859     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  2860     list of rules "p_1_..._p_k.elims" is no longer available.
  2861 
  2862 * New package "function"/"fun" for general recursive functions,
  2863 supporting mutual and nested recursion, definitions in local contexts,
  2864 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  2865 for small examples, and the separate tutorial on the function
  2866 package. The old recdef "package" is still available as before, but
  2867 users are encouraged to use the new package.
  2868 
  2869 * Method "lexicographic_order" automatically synthesizes termination
  2870 relations as lexicographic combinations of size measures. 
  2871 
  2872 * Case-expressions allow arbitrary constructor-patterns (including
  2873 "_") and take their order into account, like in functional
  2874 programming.  Internally, this is translated into nested
  2875 case-expressions; missing cases are added and mapped to the predefined
  2876 constant "undefined". In complicated cases printing may no longer show
  2877 the original input but the internal form. Lambda-abstractions allow
  2878 the same form of pattern matching: "% pat1 => e1 | ..." is an
  2879 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  2880 variable.
  2881 
  2882 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  2883 is an abbreviation for "of_nat :: nat => int". The simplification
  2884 rules for "of_nat" have been changed to work like "int" did
  2885 previously.  Potential INCOMPATIBILITY:
  2886   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  2887   - of_nat_diff and of_nat_mult are no longer default simp rules
  2888 
  2889 * Method "algebra" solves polynomial equations over (semi)rings using
  2890 Groebner bases. The (semi)ring structure is defined by locales and the
  2891 tool setup depends on that generic context. Installing the method for
  2892 a specific type involves instantiating the locale and possibly adding
  2893 declarations for computation on the coefficients.  The method is
  2894 already instantiated for natural numbers and for the axiomatic class
  2895 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  2896 CALCULEMUS 2007 for the general principles underlying this
  2897 architecture of context-aware proof-tools.
  2898 
  2899 * Method "ferrack" implements quantifier elimination over
  2900 special-purpose dense linear orders using locales (analogous to
  2901 "algebra"). The method is already installed for class
  2902 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  2903 rat, etc.
  2904 
  2905 * Former constant "List.op @" now named "List.append".  Use ML
  2906 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  2907 circumvent possible incompatibilities when working on ML level.
  2908 
  2909 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  2910 
  2911 * New function listsum :: 'a list => 'a for arbitrary monoids.
  2912 Special syntax: "SUM x <- xs. f x" (and latex variants)
  2913 
  2914 * New syntax for Haskell-like list comprehension (input only), eg.
  2915 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  2916 
  2917 * The special syntax for function "filter" has changed from [x :
  2918 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  2919 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  2920 
  2921 * [a..b] is now defined for arbitrary linear orders.  It used to be
  2922 defined on nat only, as an abbreviation for [a..<Suc b]
  2923 INCOMPATIBILITY.
  2924 
  2925 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  2926 
  2927 * New functions "sorted" and "sort" in src/HOL/List.thy.
  2928 
  2929 * New lemma collection field_simps (an extension of ring_simps) for
  2930 manipulating (in)equations involving division. Multiplies with all
  2931 denominators that can be proved to be non-zero (in equations) or
  2932 positive/negative (in inequations).
  2933 
  2934 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  2935 have been improved and renamed to ring_simps, group_simps and
  2936 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  2937 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  2938 
  2939 * Theory Library/Commutative_Ring: switched from recdef to function
  2940 package; constants add, mul, pow now curried.  Infix syntax for
  2941 algebraic operations.
  2942 
  2943 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  2944 INCOMPATIBILITY.
  2945 
  2946 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  2947 INCOMPATIBILITY.
  2948 
  2949 * HOL/records: generalised field-update to take a function on the
  2950 field rather than the new value: r(|A := x|) is translated to A_update
  2951 (K x) r The K-combinator that is internally used is called K_record.
  2952 INCOMPATIBILITY: Usage of the plain update functions has to be
  2953 adapted.
  2954  
  2955 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  2956 * x = 0, which are required for a semiring.  Richer structures do not
  2957 inherit from semiring_0 anymore, because this property is a theorem
  2958 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  2959 there is more to prove, but this is mostly trivial.
  2960 
  2961 * Class "recpower" is generalized to arbitrary monoids, not just
  2962 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  2963 commutativity or semiring properties additionally.
  2964 
  2965 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  2966 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  2967 better use 'abbreviation'.
  2968 
  2969 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  2970 
  2971 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  2972 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  2973 significant changes for setting up numeral syntax for types:
  2974   - New constants Numeral.pred and Numeral.succ instead
  2975       of former Numeral.bin_pred and Numeral.bin_succ.
  2976   - Use integer operations instead of bin_add, bin_mult and so on.
  2977   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  2978   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  2979 
  2980 See src/HOL/Integ/IntArith.thy for an example setup.
  2981 
  2982 * Command 'normal_form' computes the normal form of a term that may
  2983 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  2984 produces ``[b, c, a]'' (without proof).  This command is suitable for
  2985 heavy-duty computations because the functions are compiled to ML
  2986 first.  Correspondingly, a method "normalization" is provided.  See
  2987 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  2988 
  2989 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  2990 25 like -->); output depends on the "iff" print_mode, the default is
  2991 "A = B" (with priority 50).
  2992 
  2993 * Relations less (<) and less_eq (<=) are also available on type bool.
  2994 Modified syntax to disallow nesting without explicit parentheses,
  2995 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  2996 INCOMPATIBILITY.
  2997 
  2998 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  2999 
  3000 * Relation composition operator "op O" now has precedence 75 and binds
  3001 stronger than union and intersection. INCOMPATIBILITY.
  3002 
  3003 * The old set interval syntax "{m..n(}" (and relatives) has been
  3004 removed.  Use "{m..<n}" (and relatives) instead.
  3005 
  3006 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3007 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3008 ``declare [[simproc del: neq]]''.
  3009 
  3010 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3011 True/False.
  3012 
  3013 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3014 
  3015 * Theorem setsum_mult renamed to setsum_right_distrib.
  3016 
  3017 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3018 ``rule'' method.
  3019 
  3020 * Reimplemented methods "sat" and "satx", with several improvements:
  3021 goals no longer need to be stated as "<prems> ==> False", equivalences
  3022 (i.e. "=" on type bool) are handled, variable names of the form
  3023 "lit_<n>" are no longer reserved, significant speedup.
  3024 
  3025 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3026 zChaff is still supported as well.
  3027 
  3028 * 'inductive' and 'datatype': provide projections of mutual rules,
  3029 bundled as foo_bar.inducts;
  3030 
  3031 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3032 Library.
  3033 
  3034 * Library: moved theory Accessible_Part to main HOL.
  3035 
  3036 * Library: added theory Coinductive_List of potentially infinite lists
  3037 as greatest fixed-point.
  3038 
  3039 * Library: added theory AssocList which implements (finite) maps as
  3040 association lists.
  3041 
  3042 * Method "evaluation" solves goals (i.e. a boolean expression)
  3043 efficiently by compiling it to ML.  The goal is "proved" (via an
  3044 oracle) if it evaluates to True.
  3045 
  3046 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3047 also when invoked by the simplifier.  This results in the Simplifier
  3048 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3049 Configuration option fast_arith_split_limit=0 recovers the old
  3050 behavior.
  3051 
  3052 * Support for hex (0x20) and binary (0b1001) numerals.
  3053 
  3054 * New method: reify eqs (t), where eqs are equations for an
  3055 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  3056 parameter, computes a term s::'b and a list xs::'a list and proves the
  3057 theorem I xs s = t. This is also known as reification or quoting. The
  3058 resulting theorem is applied to the subgoal to substitute t with I xs
  3059 s.  If t is omitted, the subgoal itself is reified.
  3060 
  3061 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  3062 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  3063 where f is supposed to be a computable function (in the sense of code
  3064 generattion). The method uses reify to compute s and xs as above then
  3065 applies corr_thm and uses normalization by evaluation to "prove" f s =
  3066 r and finally gets the theorem t = r, which is again applied to the
  3067 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  3068 
  3069 * Reflection: Automatic reification now handels binding, an example is
  3070 available in src/HOL/ex/ReflectionEx.thy
  3071 
  3072 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  3073 command 'statespace' that is similar to 'record', but introduces an
  3074 abstract specification based on the locale infrastructure instead of
  3075 HOL types.  This leads to extra flexibility in composing state spaces,
  3076 in particular multiple inheritance and renaming of components.
  3077 
  3078 
  3079 *** HOL-Complex ***
  3080 
  3081 * Hyperreal: Functions root and sqrt are now defined on negative real
  3082 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  3083 Nonnegativity side conditions have been removed from many lemmas, so
  3084 that more subgoals may now be solved by simplification; potential
  3085 INCOMPATIBILITY.
  3086 
  3087 * Real: new type classes formalize real normed vector spaces and
  3088 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  3089 and norm :: 'a => real.
  3090 
  3091 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  3092 reals into other types. The overloaded constant Reals :: 'a set is now
  3093 defined as range of_real; potential INCOMPATIBILITY.
  3094 
  3095 * Real: proper support for ML code generation, including 'quickcheck'.
  3096 Reals are implemented as arbitrary precision rationals.
  3097 
  3098 * Hyperreal: Several constants that previously worked only for the
  3099 reals have been generalized, so they now work over arbitrary vector
  3100 spaces. Type annotations may need to be added in some cases; potential
  3101 INCOMPATIBILITY.
  3102 
  3103   Infinitesimal  :: ('a::real_normed_vector) star set
  3104   HFinite        :: ('a::real_normed_vector) star set
  3105   HInfinite      :: ('a::real_normed_vector) star set
  3106   approx         :: ('a::real_normed_vector) star => 'a star => bool
  3107   monad          :: ('a::real_normed_vector) star => 'a star set
  3108   galaxy         :: ('a::real_normed_vector) star => 'a star set
  3109   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  3110   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  3111   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  3112   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  3113   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  3114   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  3115   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  3116   sgn            :: 'a::real_normed_vector => 'a
  3117   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  3118 
  3119 * Complex: Some complex-specific constants are now abbreviations for
  3120 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  3121 hnorm.  Other constants have been entirely removed in favor of the
  3122 polymorphic versions (INCOMPATIBILITY):
  3123 
  3124   approx        <-- capprox
  3125   HFinite       <-- CFinite
  3126   HInfinite     <-- CInfinite
  3127   Infinitesimal <-- CInfinitesimal
  3128   monad         <-- cmonad
  3129   galaxy        <-- cgalaxy
  3130   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  3131   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  3132   (ns)deriv     <-- (ns)cderiv
  3133 
  3134 
  3135 *** HOL-Algebra ***
  3136 
  3137 * Formalisation of ideals and the quotient construction over rings.
  3138 
  3139 * Order and lattice theory no longer based on records.
  3140 INCOMPATIBILITY.
  3141 
  3142 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  3143 greatest_closed.  INCOMPATIBILITY.
  3144 
  3145 * Method algebra is now set up via an attribute.  For examples see
  3146 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  3147 of algebraic structures.
  3148 
  3149 * Renamed theory CRing to Ring.
  3150 
  3151 
  3152 *** HOL-Nominal ***
  3153 
  3154 * Substantial, yet incomplete support for nominal datatypes (binding
  3155 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  3156 src/HOL/Nominal/Examples.  Prospective users should consult
  3157 http://isabelle.in.tum.de/nominal/
  3158 
  3159 
  3160 *** ML ***
  3161 
  3162 * ML basics: just one true type int, which coincides with IntInf.int
  3163 (even on SML/NJ).
  3164 
  3165 * ML within Isar: antiquotations allow to embed statically-checked
  3166 formal entities in the source, referring to the context available at
  3167 compile-time.  For example:
  3168 
  3169 ML {* @{sort "{zero,one}"} *}
  3170 ML {* @{typ "'a => 'b"} *}
  3171 ML {* @{term "%x. x"} *}
  3172 ML {* @{prop "x == y"} *}
  3173 ML {* @{ctyp "'a => 'b"} *}
  3174 ML {* @{cterm "%x. x"} *}
  3175 ML {* @{cprop "x == y"} *}
  3176 ML {* @{thm asm_rl} *}
  3177 ML {* @{thms asm_rl} *}
  3178 ML {* @{type_name c} *}
  3179 ML {* @{type_syntax c} *}
  3180 ML {* @{const_name c} *}
  3181 ML {* @{const_syntax c} *}
  3182 ML {* @{context} *}
  3183 ML {* @{theory} *}
  3184 ML {* @{theory Pure} *}
  3185 ML {* @{theory_ref} *}
  3186 ML {* @{theory_ref Pure} *}
  3187 ML {* @{simpset} *}
  3188 ML {* @{claset} *}
  3189 ML {* @{clasimpset} *}
  3190 
  3191 The same works for sources being ``used'' within an Isar context.
  3192 
  3193 * ML in Isar: improved error reporting; extra verbosity with
  3194 ML_Context.trace enabled.
  3195 
  3196 * Pure/General/table.ML: the join operations now works via exceptions
  3197 DUP/SAME instead of type option. This is simpler in simple cases, and
  3198 admits slightly more efficient complex applications.
  3199 
  3200 * Pure: 'advanced' translation functions (parse_translation etc.) now
  3201 use Context.generic instead of just theory.
  3202 
  3203 * Pure: datatype Context.generic joins theory/Proof.context and
  3204 provides some facilities for code that works in either kind of
  3205 context, notably GenericDataFun for uniform theory and proof data.
  3206 
  3207 * Pure: simplified internal attribute type, which is now always
  3208 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  3209 local (Proof.context) attributes have been discontinued, while
  3210 minimizing code duplication. Thm.rule_attribute and
  3211 Thm.declaration_attribute build canonical attributes; see also structure
  3212 Context for further operations on Context.generic, notably
  3213 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  3214 declarations and definitions.
  3215 
  3216 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  3217 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  3218 init only required for impure data. INCOMPATIBILITY: empty really need
  3219 to be empty (no dependencies on theory content!)
  3220 
  3221 * Pure/kernel: consts certification ignores sort constraints given in
  3222 signature declarations. (This information is not relevant to the
  3223 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  3224 potential INCOMPATIBILITY.
  3225 
  3226 * Pure: axiomatic type classes are now purely definitional, with
  3227 explicit proofs of class axioms and super class relations performed
  3228 internally. See Pure/axclass.ML for the main internal interfaces --
  3229 notably AxClass.define_class supercedes AxClass.add_axclass, and
  3230 AxClass.axiomatize_class/classrel/arity supersede
  3231 Sign.add_classes/classrel/arities.
  3232 
  3233 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  3234 global/local versions on theory vs. Proof.context have been
  3235 discontinued; Attrib.syntax and Method.syntax have been adapted
  3236 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  3237 attributes, methods, etc.
  3238 
  3239 * Pure: several functions of signature "... -> theory -> theory * ..."
  3240 have been reoriented to "... -> theory -> ... * theory" in order to
  3241 allow natural usage in combination with the ||>, ||>>, |-> and
  3242 fold_map combinators.
  3243 
  3244 * Pure: official theorem names (closed derivations) and additional
  3245 comments (tags) are now strictly separate.  Name hints -- which are
  3246 maintained as tags -- may be attached any time without affecting the
  3247 derivation.
  3248 
  3249 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  3250 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  3251 achieve the old behaviour.
  3252 
  3253 * Pure: the "Goal" constant is now called "prop", supporting a
  3254 slightly more general idea of ``protecting'' meta-level rule
  3255 statements.
  3256 
  3257 * Pure: Logic.(un)varify only works in a global context, which is now
  3258 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  3259 Logic.legacy_(un)varify as temporary workaround.
  3260 
  3261 * Pure: structure Name provides scalable operations for generating
  3262 internal variable names, notably Name.variants etc.  This replaces
  3263 some popular functions from term.ML:
  3264 
  3265   Term.variant		->  Name.variant
  3266   Term.variantlist	->  Name.variant_list
  3267   Term.invent_names	->  Name.invent_list
  3268 
  3269 Note that low-level renaming rarely occurs in new code -- operations
  3270 from structure Variable are used instead (see below).
  3271 
  3272 * Pure: structure Variable provides fundamental operations for proper
  3273 treatment of fixed/schematic variables in a context.  For example,
  3274 Variable.import introduces fixes for schematics of given facts and
  3275 Variable.export reverses the effect (up to renaming) -- this replaces
  3276 various freeze_thaw operations.
  3277 
  3278 * Pure: structure Goal provides simple interfaces for
  3279 init/conclude/finish and tactical prove operations (replacing former
  3280 Tactic.prove).  Goal.prove is the canonical way to prove results
  3281 within a given context; Goal.prove_global is a degraded version for
  3282 theory level goals, including a global Drule.standard.  Note that
  3283 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  3284 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  3285 in a locale context).
  3286 
  3287 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  3288 and type checking (Syntax.check_term etc.), with common combinations
  3289 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  3290 which are considered legacy and await removal.
  3291 
  3292 * Pure/Syntax: generic interfaces for type unchecking
  3293 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  3294 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  3295 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  3296 available for convenience, but refer to the very same operations using
  3297 a mere theory instead of a full context.
  3298 
  3299 * Isar: simplified treatment of user-level errors, using exception
  3300 ERROR of string uniformly.  Function error now merely raises ERROR,
  3301 without any side effect on output channels.  The Isar toplevel takes
  3302 care of proper display of ERROR exceptions.  ML code may use plain
  3303 handle/can/try; cat_error may be used to concatenate errors like this:
  3304 
  3305   ... handle ERROR msg => cat_error msg "..."
  3306 
  3307 Toplevel ML code (run directly or through the Isar toplevel) may be
  3308 embedded into the Isar toplevel with exception display/debug like
  3309 this:
  3310 
  3311   Isar.toplevel (fn () => ...)
  3312 
  3313 INCOMPATIBILITY, removed special transform_error facilities, removed
  3314 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  3315 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  3316 -- use plain ERROR instead.
  3317 
  3318 * Isar: theory setup now has type (theory -> theory), instead of a
  3319 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  3320 
  3321 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  3322 ProofContext.debug/verbose flags.
  3323 
  3324 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  3325 theory before entering a proof state.  Transactions now always see a
  3326 quasi-functional intermediate checkpoint, both in interactive and
  3327 batch mode.
  3328 
  3329 * Isar: simplified interfaces for outer syntax.  Renamed
  3330 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  3331 OuterSyntax.add_parsers -- this functionality is now included in
  3332 OuterSyntax.command etc.  INCOMPATIBILITY.
  3333 
  3334 * Simplifier: the simpset of a running simplification process now
  3335 contains a proof context (cf. Simplifier.the_context), which is the
  3336 very context that the initial simpset has been retrieved from (by
  3337 simpset_of/local_simpset_of).  Consequently, all plug-in components
  3338 (solver, looper etc.) may depend on arbitrary proof data.
  3339 
  3340 * Simplifier.inherit_context inherits the proof context (plus the
  3341 local bounds) of the current simplification process; any simproc
  3342 etc. that calls the Simplifier recursively should do this!  Removed
  3343 former Simplifier.inherit_bounds, which is already included here --
  3344 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  3345 specify an explicit context using Simplifier.context/theory_context.
  3346 
  3347 * Simplifier/Classical Reasoner: more abstract interfaces
  3348 change_simpset/claset for modifying the simpset/claset reference of a
  3349 theory; raw versions simpset/claset_ref etc. have been discontinued --
  3350 INCOMPATIBILITY.
  3351 
  3352 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  3353 "Trueprop" etc.
  3354 
  3355 
  3356 *** System ***
  3357 
  3358 * settings: the default heap location within ISABELLE_HOME_USER now
  3359 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  3360 Isabelle installations.
  3361 
  3362 * isabelle-process: option -S (secure mode) disables some critical
  3363 operations, notably runtime compilation and evaluation of ML source
  3364 code.
  3365 
  3366 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  3367 
  3368 * Support for parallel execution, using native multicore support of
  3369 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  3370 independent theories, according to the given theory header
  3371 specifications. The maximum number of worker threads is specified via
  3372 usedir option -M or the "max-threads" setting in Proof General. A
  3373 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  3374 to 6 on a 8-core machine.  User-code needs to observe certain
  3375 guidelines for thread-safe programming, see appendix A in the Isar
  3376 Implementation manual.
  3377 
  3378 
  3379 
  3380 New in Isabelle2005 (October 2005)
  3381 ----------------------------------
  3382 
  3383 *** General ***
  3384 
  3385 * Theory headers: the new header syntax for Isar theories is
  3386 
  3387   theory <name>
  3388   imports <theory1> ... <theoryN>
  3389   uses <file1> ... <fileM>
  3390   begin
  3391 
  3392 where the 'uses' part is optional.  The previous syntax
  3393 
  3394   theory <name> = <theory1> + ... + <theoryN>:
  3395 
  3396 will disappear in the next release.  Use isatool fixheaders to convert
  3397 existing theory files.  Note that there is no change in ancient
  3398 non-Isar theories now, but these will disappear soon.
  3399 
  3400 * Theory loader: parent theories can now also be referred to via
  3401 relative and absolute paths.
  3402 
  3403 * Command 'find_theorems' searches for a list of criteria instead of a
  3404 list of constants. Known criteria are: intro, elim, dest, name:string,
  3405 simp:term, and any term. Criteria can be preceded by '-' to select
  3406 theorems that do not match. Intro, elim, dest select theorems that
  3407 match the current goal, name:s selects theorems whose fully qualified
  3408 name contain s, and simp:term selects all simplification rules whose
  3409 lhs match term.  Any other term is interpreted as pattern and selects
  3410 all theorems matching the pattern. Available in ProofGeneral under
  3411 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  3412 
  3413   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  3414 
  3415 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  3416 matching the current goal as introduction rule and not having "HOL."
  3417 in their name (i.e. not being defined in theory HOL).
  3418 
  3419 * Command 'thms_containing' has been discontinued in favour of
  3420 'find_theorems'; INCOMPATIBILITY.
  3421 
  3422 * Communication with Proof General is now 8bit clean, which means that
  3423 Unicode text in UTF-8 encoding may be used within theory texts (both
  3424 formal and informal parts).  Cf. option -U of the Isabelle Proof
  3425 General interface.  Here are some simple examples (cf. src/HOL/ex):
  3426 
  3427   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  3428   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  3429 
  3430 * Improved efficiency of the Simplifier and, to a lesser degree, the
  3431 Classical Reasoner.  Typical big applications run around 2 times
  3432 faster.
  3433 
  3434 
  3435 *** Document preparation ***
  3436 
  3437 * Commands 'display_drafts' and 'print_drafts' perform simple output
  3438 of raw sources.  Only those symbols that do not require additional
  3439 LaTeX packages (depending on comments in isabellesym.sty) are
  3440 displayed properly, everything else is left verbatim.  isatool display
  3441 and isatool print are used as front ends (these are subject to the
  3442 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  3443 
  3444 * Command tags control specific markup of certain regions of text,
  3445 notably folding and hiding.  Predefined tags include "theory" (for
  3446 theory begin and end), "proof" for proof commands, and "ML" for
  3447 commands involving ML code; the additional tags "visible" and
  3448 "invisible" are unused by default.  Users may give explicit tag
  3449 specifications in the text, e.g. ''by %invisible (auto)''.  The
  3450 interpretation of tags is determined by the LaTeX job during document
  3451 preparation: see option -V of isatool usedir, or options -n and -t of
  3452 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  3453 \isadroptag.
  3454 
  3455 Several document versions may be produced at the same time via isatool
  3456 usedir (the generated index.html will link all of them).  Typical
  3457 specifications include ''-V document=theory,proof,ML'' to present
  3458 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  3459 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  3460 these parts without any formal replacement text.  The Isabelle site
  3461 default settings produce ''document'' and ''outline'' versions as
  3462 specified above.
  3463 
  3464 * Several new antiquotations:
  3465 
  3466   @{term_type term} prints a term with its type annotated;
  3467 
  3468   @{typeof term} prints the type of a term;
  3469 
  3470   @{const const} is the same as @{term const}, but checks that the
  3471   argument is a known logical constant;
  3472 
  3473   @{term_style style term} and @{thm_style style thm} print a term or
  3474   theorem applying a "style" to it
  3475 
  3476   @{ML text}
  3477 
  3478 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  3479 definitions, equations, inequations etc., 'concl' printing only the
  3480 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  3481 to print the specified premise.  TermStyle.add_style provides an ML
  3482 interface for introducing further styles.  See also the "LaTeX Sugar"
  3483 document practical applications.  The ML antiquotation prints
  3484 type-checked ML expressions verbatim.
  3485 
  3486 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  3487 and 'text' support optional locale specification '(in loc)', which
  3488 specifies the default context for interpreting antiquotations.  For
  3489 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  3490 
  3491 * Option 'locale=NAME' of antiquotations specifies an alternative
  3492 context interpreting the subsequent argument.  For example: @{thm
  3493 [locale=lattice] inf_assoc}.
  3494 
  3495 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  3496 a proof context.
  3497 
  3498 * Proper output of antiquotations for theory commands involving a
  3499 proof context (such as 'locale' or 'theorem (in loc) ...').
  3500 
  3501 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  3502 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  3503 
  3504 * isatool usedir: new option -C (default true) controls whether option
  3505 -D should include a copy of the original document directory; -C false
  3506 prevents unwanted effects such as copying of administrative CVS data.
  3507 
  3508 
  3509 *** Pure ***
  3510 
  3511 * Considerably improved version of 'constdefs' command.  Now performs
  3512 automatic type-inference of declared constants; additional support for
  3513 local structure declarations (cf. locales and HOL records), see also
  3514 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  3515 sequential dependencies of definitions within a single 'constdefs'
  3516 section; moreover, the declared name needs to be an identifier.  If
  3517 all fails, consider to fall back on 'consts' and 'defs' separately.
  3518 
  3519 * Improved indexed syntax and implicit structures.  First of all,
  3520 indexed syntax provides a notational device for subscripted
  3521 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  3522 expressions.  Secondly, in a local context with structure
  3523 declarations, number indexes \<^sub>n or the empty index (default
  3524 number 1) refer to a certain fixed variable implicitly; option
  3525 show_structs controls printing of implicit structures.  Typical
  3526 applications of these concepts involve record types and locales.
  3527 
  3528 * New command 'no_syntax' removes grammar declarations (and
  3529 translations) resulting from the given syntax specification, which is
  3530 interpreted in the same manner as for the 'syntax' command.
  3531 
  3532 * 'Advanced' translation functions (parse_translation etc.) may depend
  3533 on the signature of the theory context being presently used for
  3534 parsing/printing, see also isar-ref manual.
  3535 
  3536 * Improved 'oracle' command provides a type-safe interface to turn an
  3537 ML expression of type theory -> T -> term into a primitive rule of
  3538 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  3539 is already included here); see also FOL/ex/IffExample.thy;
  3540 INCOMPATIBILITY.
  3541 
  3542 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  3543 before); "cI" is no longer bound, use "c.intro" instead.
  3544 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  3545 axclasses vs. locales.
  3546 
  3547 * Improved internal renaming of symbolic identifiers -- attach primes
  3548 instead of base 26 numbers.
  3549 
  3550 * New flag show_question_marks controls printing of leading question
  3551 marks in schematic variable names.
  3552 
  3553 * In schematic variable names, *any* symbol following \<^isub> or
  3554 \<^isup> is now treated as part of the base name.  For example, the
  3555 following works without printing of awkward ".0" indexes:
  3556 
  3557   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  3558     by simp
  3559 
  3560 * Inner syntax includes (*(*nested*) comments*).
  3561 
  3562 * Pretty printer now supports unbreakable blocks, specified in mixfix
  3563 annotations as "(00...)".
  3564 
  3565 * Clear separation of logical types and nonterminals, where the latter
  3566 may only occur in 'syntax' specifications or type abbreviations.
  3567 Before that distinction was only partially implemented via type class
  3568 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  3569 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  3570 exotic syntax specifications may require further adaption
  3571 (e.g. Cube/Cube.thy).
  3572 
  3573 * Removed obsolete type class "logic", use the top sort {} instead.
  3574 Note that non-logical types should be declared as 'nonterminals'
  3575 rather than 'types'.  INCOMPATIBILITY for new object-logic
  3576 specifications.
  3577 
  3578 * Attributes 'induct' and 'cases': type or set names may now be
  3579 locally fixed variables as well.
  3580 
  3581 * Simplifier: can now control the depth to which conditional rewriting
  3582 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  3583 Limit.
  3584 
  3585 * Simplifier: simplification procedures may now take the current
  3586 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  3587 interface), which is very useful for calling the Simplifier
  3588 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  3589 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  3590 low-level mk_simproc no longer applies Logic.varify internally, to
  3591 allow for use in a context of fixed variables.
  3592 
  3593 * thin_tac now works even if the assumption being deleted contains !!
  3594 or ==>.  More generally, erule now works even if the major premise of
  3595 the elimination rule contains !! or ==>.
  3596 
  3597 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  3598 
  3599 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  3600 from Pure, which contains all common declarations already.  Both
  3601 theories are defined via plain Isabelle/Isar .thy files.
  3602 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  3603 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  3604 use isatool fixcpure to adapt your theory and ML sources.
  3605 
  3606 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  3607 selections of theorems in named facts via index ranges.
  3608 
  3609 * 'print_theorems': in theory mode, really print the difference
  3610 wrt. the last state (works for interactive theory development only),
  3611 in proof mode print all local facts (cf. 'print_facts');
  3612 
  3613 * 'hide': option '(open)' hides only base names.
  3614 
  3615 * More efficient treatment of intermediate checkpoints in interactive
  3616 theory development.
  3617 
  3618 * Code generator is now invoked via code_module (incremental code
  3619 generation) and code_library (modular code generation, ML structures
  3620 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  3621 must be quoted when used as identifiers.
  3622 
  3623 * New 'value' command for reading, evaluating and printing terms using
  3624 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  3625 quoted when used as identifier.
  3626 
  3627 
  3628 *** Locales ***
  3629 
  3630 * New commands for the interpretation of locale expressions in
  3631 theories (1), locales (2) and proof contexts (3).  These generate
  3632 proof obligations from the expression specification.  After the
  3633 obligations have been discharged, theorems of the expression are added
  3634 to the theory, target locale or proof context.  The synopsis of the
  3635 commands is a follows:
  3636 
  3637   (1) interpretation expr inst
  3638   (2) interpretation target < expr
  3639   (3) interpret expr inst
  3640 
  3641 Interpretation in theories and proof contexts require a parameter
  3642 instantiation of terms from the current context.  This is applied to
  3643 specifications and theorems of the interpreted expression.
  3644 Interpretation in locales only permits parameter renaming through the
  3645 locale expression.  Interpretation is smart in that interpretations
  3646 that are active already do not occur in proof obligations, neither are
  3647 instantiated theorems stored in duplicate.  Use 'print_interps' to
  3648 inspect active interpretations of a particular locale.  For details,
  3649 see the Isar Reference manual.  Examples can be found in
  3650 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  3651 
  3652 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  3653 'interpret' instead.
  3654 
  3655 * New context element 'constrains' for adding type constraints to
  3656 parameters.
  3657 
  3658 * Context expressions: renaming of parameters with syntax
  3659 redeclaration.
  3660 
  3661 * Locale declaration: 'includes' disallowed.
  3662 
  3663 * Proper static binding of attribute syntax -- i.e. types / terms /
  3664 facts mentioned as arguments are always those of the locale definition
  3665 context, independently of the context of later invocations.  Moreover,
  3666 locale operations (renaming and type / term instantiation) are applied
  3667 to attribute arguments as expected.
  3668 
  3669 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  3670 actual attributes; rare situations may require Attrib.attribute to
  3671 embed those attributes into Attrib.src that lack concrete syntax.
  3672 Attribute implementations need to cooperate properly with the static
  3673 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  3674 Attrib.XXX_thm etc. already do the right thing without further
  3675 intervention.  Only unusual applications -- such as "where" or "of"
  3676 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  3677 on the context and the facts involved -- may have to assign parsed
  3678 values to argument tokens explicitly.
  3679 
  3680 * Changed parameter management in theorem generation for long goal
  3681 statements with 'includes'.  INCOMPATIBILITY: produces a different
  3682 theorem statement in rare situations.
  3683 
  3684 * Locale inspection command 'print_locale' omits notes elements.  Use
  3685 'print_locale!' to have them included in the output.
  3686 
  3687 
  3688 *** Provers ***
  3689 
  3690 * Provers/hypsubst.ML: improved version of the subst method, for
  3691 single-step rewriting: it now works in bound variable contexts. New is
  3692 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  3693 rewrite a different subterm than the original subst method, which is
  3694 still available as 'simplesubst'.
  3695 
  3696 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  3697 and quasi orders.
  3698 
  3699 * Provers/trancl.ML: new transitivity reasoner for transitive and
  3700 reflexive-transitive closure of relations.
  3701 
  3702 * Provers/blast.ML: new reference depth_limit to make blast's depth
  3703 limit (previously hard-coded with a value of 20) user-definable.
  3704 
  3705 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  3706 is peformed already.  Object-logics merely need to finish their
  3707 initial simpset configuration as before.  INCOMPATIBILITY.
  3708 
  3709 
  3710 *** HOL ***
  3711 
  3712 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  3713 
  3714   syntax (epsilon)
  3715     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  3716 
  3717 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  3718 and x-symbol; use option '-m epsilon' to get it actually printed.
  3719 Moreover, the mathematically important symbolic identifier \<epsilon>
  3720 becomes available as variable, constant etc.  INCOMPATIBILITY,
  3721 
  3722 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  3723 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  3724 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  3725 support corresponding Isar calculations.
  3726 
  3727 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  3728 instead of ":".
  3729 
  3730 * theory SetInterval: changed the syntax for open intervals:
  3731 
  3732   Old       New
  3733   {..n(}    {..<n}
  3734   {)n..}    {n<..}
  3735   {m..n(}   {m..<n}
  3736   {)m..n}   {m<..n}
  3737   {)m..n(}  {m<..<n}
  3738 
  3739 The old syntax is still supported but will disappear in the next
  3740 release.  For conversion use the following Emacs search and replace
  3741 patterns (these are not perfect but work quite well):
  3742 
  3743   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  3744   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  3745 
  3746 * Theory Commutative_Ring (in Library): method comm_ring for proving
  3747 equalities in commutative rings; method 'algebra' provides a generic
  3748 interface.
  3749 
  3750 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  3751 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  3752 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  3753 be a tuple pattern.
  3754 
  3755 Some new syntax forms are available:
  3756 
  3757   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  3758   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  3759   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  3760   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  3761 
  3762 The latter form "\<Sum>x < k. e" used to be based on a separate
  3763 function "Summation", which has been discontinued.
  3764 
  3765 * theory Finite_Set: in structured induction proofs, the insert case
  3766 is now 'case (insert x F)' instead of the old counterintuitive 'case
  3767 (insert F x)'.
  3768 
  3769 * The 'refute' command has been extended to support a much larger
  3770 fragment of HOL, including axiomatic type classes, constdefs and
  3771 typedefs, inductive datatypes and recursion.
  3772 
  3773 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  3774 Requires zChaff with proof generation to be installed.  See
  3775 HOL/ex/SAT_Examples.thy for examples.
  3776 
  3777 * Datatype induction via method 'induct' now preserves the name of the
  3778 induction variable. For example, when proving P(xs::'a list) by
  3779 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  3780 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  3781 in unstructured proof scripts.
  3782 
  3783 * Reworked implementation of records.  Improved scalability for
  3784 records with many fields, avoiding performance problems for type
  3785 inference. Records are no longer composed of nested field types, but
  3786 of nested extension types. Therefore the record type only grows linear
  3787 in the number of extensions and not in the number of fields.  The
  3788 top-level (users) view on records is preserved.  Potential
  3789 INCOMPATIBILITY only in strange cases, where the theory depends on the
  3790 old record representation. The type generated for a record is called
  3791 <record_name>_ext_type.
  3792 
  3793 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  3794 proofs triggered by a record definition or a simproc (if
  3795 quick_and_dirty is enabled).  Definitions of large records can take
  3796 quite long.
  3797 
  3798 New simproc record_upd_simproc for simplification of multiple record
  3799 updates enabled by default.  Moreover, trivial updates are also
  3800 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  3801 occasionally, since simplification is more powerful by default.
  3802 
  3803 * typedef: proper support for polymorphic sets, which contain extra
  3804 type-variables in the term.
  3805 
  3806 * Simplifier: automatically reasons about transitivity chains
  3807 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  3808 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  3809 old proofs break occasionally as simplification may now solve more
  3810 goals than previously.
  3811 
  3812 * Simplifier: converts x <= y into x = y if assumption y <= x is
  3813 present.  Works for all partial orders (class "order"), in particular
  3814 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  3815 just like y <= x.
  3816 
  3817 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  3818 bound variable or a constant then the let is unfolded.  Otherwise
  3819 first a is simplified to b, and then f b is simplified to g. If
  3820 possible we abstract b from g arriving at "let x = b in h x",
  3821 otherwise we unfold the let and arrive at g.  The simproc can be
  3822 enabled/disabled by the reference use_let_simproc.  Potential
  3823 INCOMPATIBILITY since simplification is more powerful by default.
  3824 
  3825 * Classical reasoning: the meson method now accepts theorems as arguments.
  3826 
  3827 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  3828 jobs to provide advice on the provability of subgoals.
  3829 
  3830 * Theory OrderedGroup and Ring_and_Field: various additions and
  3831 improvements to faciliate calculations involving equalities and
  3832 inequalities.
  3833 
  3834 The following theorems have been eliminated or modified
  3835 (INCOMPATIBILITY):
  3836 
  3837   abs_eq             now named abs_of_nonneg
  3838   abs_of_ge_0        now named abs_of_nonneg
  3839   abs_minus_eq       now named abs_of_nonpos
  3840   imp_abs_id         now named abs_of_nonneg
  3841   imp_abs_neg_id     now named abs_of_nonpos
  3842   mult_pos           now named mult_pos_pos
  3843   mult_pos_le        now named mult_nonneg_nonneg
  3844   mult_pos_neg_le    now named mult_nonneg_nonpos
  3845   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  3846   mult_neg           now named mult_neg_neg
  3847   mult_neg_le        now named mult_nonpos_nonpos
  3848 
  3849 * The following lemmas in Ring_and_Field have been added to the simplifier:
  3850      
  3851      zero_le_square
  3852      not_square_less_zero 
  3853 
  3854   The following lemmas have been deleted from Real/RealPow:
  3855   
  3856      realpow_zero_zero
  3857      realpow_two
  3858      realpow_less
  3859      zero_le_power
  3860      realpow_two_le
  3861      abs_realpow_two
  3862      realpow_two_abs     
  3863 
  3864 * Theory Parity: added rules for simplifying exponents.
  3865 
  3866 * Theory List:
  3867 
  3868 The following theorems have been eliminated or modified
  3869 (INCOMPATIBILITY):
  3870 
  3871   list_all_Nil       now named list_all.simps(1)
  3872   list_all_Cons      now named list_all.simps(2)
  3873   list_all_conv      now named list_all_iff
  3874   set_mem_eq         now named mem_iff
  3875 
  3876 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  3877 asymptotic "big O" calculations.  See the notes in BigO.thy.
  3878 
  3879 
  3880 *** HOL-Complex ***
  3881 
  3882 * Theory RealDef: better support for embedding natural numbers and
  3883 integers in the reals.
  3884 
  3885 The following theorems have been eliminated or modified
  3886 (INCOMPATIBILITY):
  3887 
  3888   exp_ge_add_one_self  now requires no hypotheses
  3889   real_of_int_add      reversed direction of equality (use [symmetric])
  3890   real_of_int_minus    reversed direction of equality (use [symmetric])
  3891   real_of_int_diff     reversed direction of equality (use [symmetric])
  3892   real_of_int_mult     reversed direction of equality (use [symmetric])
  3893 
  3894 * Theory RComplete: expanded support for floor and ceiling functions.
  3895 
  3896 * Theory Ln is new, with properties of the natural logarithm
  3897 
  3898 * Hyperreal: There is a new type constructor "star" for making
  3899 nonstandard types.  The old type names are now type synonyms:
  3900 
  3901   hypreal = real star
  3902   hypnat = nat star
  3903   hcomplex = complex star
  3904 
  3905 * Hyperreal: Many groups of similarly-defined constants have been
  3906 replaced by polymorphic versions (INCOMPATIBILITY):
  3907 
  3908   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  3909 
  3910   starset      <-- starsetNat, starsetC
  3911   *s*          <-- *sNat*, *sc*
  3912   starset_n    <-- starsetNat_n, starsetC_n
  3913   *sn*         <-- *sNatn*, *scn*
  3914   InternalSets <-- InternalNatSets, InternalCSets
  3915 
  3916   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  3917   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  3918   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  3919   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  3920   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  3921 
  3922 * Hyperreal: Many type-specific theorems have been removed in favor of
  3923 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  3924 
  3925   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  3926   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  3927   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  3928   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  3929   right_minus <-- hypreal_add_minus
  3930   left_minus <-- {hypreal,hcomplex}_add_minus_left
  3931   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  3932   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  3933   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  3934   mult_1_right <-- hcomplex_mult_one_right
  3935   mult_zero_left <-- hcomplex_mult_zero_left
  3936   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  3937   right_distrib <-- hypnat_add_mult_distrib2
  3938   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  3939   right_inverse <-- hypreal_mult_inverse
  3940   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  3941   order_refl <-- {hypreal,hypnat}_le_refl
  3942   order_trans <-- {hypreal,hypnat}_le_trans
  3943   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  3944   order_less_le <-- {hypreal,hypnat}_less_le
  3945   linorder_linear <-- {hypreal,hypnat}_le_linear
  3946   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  3947   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  3948   add_nonneg_nonneg <-- hypreal_le_add_order
  3949 
  3950 * Hyperreal: Separate theorems having to do with type-specific
  3951 versions of constants have been merged into theorems that apply to the
  3952 new polymorphic constants (INCOMPATIBILITY):
  3953 
  3954   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  3955   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  3956   STAR_Un <-- {STAR,NatStar,STARC}_Un
  3957   STAR_Int <-- {STAR,NatStar,STARC}_Int
  3958   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  3959   STAR_subset <-- {STAR,NatStar,STARC}_subset
  3960   STAR_mem <-- {STAR,NatStar,STARC}_mem
  3961   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  3962   STAR_diff <-- {STAR,STARC}_diff
  3963   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  3964     STARC_hcomplex_of_complex}_image_subset
  3965   starset_n_Un <-- starset{Nat,C}_n_Un
  3966   starset_n_Int <-- starset{Nat,C}_n_Int
  3967   starset_n_Compl <-- starset{Nat,C}_n_Compl
  3968   starset_n_diff <-- starset{Nat,C}_n_diff
  3969   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  3970   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  3971   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  3972   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  3973   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  3974   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  3975   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  3976   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  3977   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  3978   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  3979   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  3980   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  3981   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  3982   starfun_diff <-- starfun{C,RC,CR}_diff
  3983   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  3984   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  3985   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  3986   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  3987   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  3988   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  3989   starfun_Id <-- starfunC_Id
  3990   starfun_approx <-- starfun{Nat,CR}_approx
  3991   starfun_capprox <-- starfun{C,RC}_capprox
  3992   starfun_abs <-- starfunNat_rabs
  3993   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  3994   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  3995   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  3996   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  3997   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  3998   starfun_add_approx <-- starfunCR_add_approx
  3999   starfun_inverse_inverse <-- starfunC_inverse_inverse
  4000   starfun_divide <-- starfun{C,CR,RC}_divide
  4001   starfun_n <-- starfun{Nat,C}_n
  4002   starfun_n_mult <-- starfun{Nat,C}_n_mult
  4003   starfun_n_add <-- starfun{Nat,C}_n_add
  4004   starfun_n_add_minus <-- starfunNat_n_add_minus
  4005   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4006   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4007   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4008 
  4009   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4010   star_n_minus <-- {hypreal,hcomplex}_minus
  4011   star_n_diff <-- {hypreal,hcomplex}_diff
  4012   star_n_mult <-- {hypreal,hcomplex}_mult
  4013   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4014   star_n_le <-- {hypreal,hypnat}_le
  4015   star_n_less <-- {hypreal,hypnat}_less
  4016   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4017   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4018   star_n_abs <-- hypreal_hrabs
  4019   star_n_divide <-- hcomplex_divide
  4020 
  4021   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4022   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4023   star_of_diff <-- hypreal_of_real_diff
  4024   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4025   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4026   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4027   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4028   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4029   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4030   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4031   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4032   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4033   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4034   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4035   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4036   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4037   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4038   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4039   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4040   star_of_power <-- hypreal_of_real_power
  4041   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4042 
  4043 * Hyperreal: new method "transfer" that implements the transfer
  4044 principle of nonstandard analysis. With a subgoal that mentions
  4045 nonstandard types like "'a star", the command "apply transfer"
  4046 replaces it with an equivalent one that mentions only standard types.
  4047 To be successful, all free variables must have standard types; non-
  4048 standard variables must have explicit universal quantifiers.
  4049 
  4050 * Hyperreal: A theory of Taylor series.
  4051 
  4052 
  4053 *** HOLCF ***
  4054 
  4055 * Discontinued special version of 'constdefs' (which used to support
  4056 continuous functions) in favor of the general Pure one with full
  4057 type-inference.
  4058 
  4059 * New simplification procedure for solving continuity conditions; it
  4060 is much faster on terms with many nested lambda abstractions (cubic
  4061 instead of exponential time).
  4062 
  4063 * New syntax for domain package: selector names are now optional.
  4064 Parentheses should be omitted unless argument is lazy, for example:
  4065 
  4066   domain 'a stream = cons "'a" (lazy "'a stream")
  4067 
  4068 * New command 'fixrec' for defining recursive functions with pattern
  4069 matching; defining multiple functions with mutual recursion is also
  4070 supported.  Patterns may include the constants cpair, spair, up, sinl,
  4071 sinr, or any data constructor defined by the domain package. The given
  4072 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  4073 syntax and examples.
  4074 
  4075 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  4076 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  4077 but the proof obligation additionally includes an admissibility
  4078 requirement. The packages generate instances of class cpo or pcpo,
  4079 with continuity and strictness theorems for Rep and Abs.
  4080 
  4081 * HOLCF: Many theorems have been renamed according to a more standard naming
  4082 scheme (INCOMPATIBILITY):
  4083 
  4084   foo_inject:  "foo$x = foo$y ==> x = y"
  4085   foo_eq:      "(foo$x = foo$y) = (x = y)"
  4086   foo_less:    "(foo$x << foo$y) = (x << y)"
  4087   foo_strict:  "foo$UU = UU"
  4088   foo_defined: "... ==> foo$x ~= UU"
  4089   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  4090 
  4091 
  4092 *** ZF ***
  4093 
  4094 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  4095 including the First Isomorphism Theorem (on quotienting by the kernel
  4096 of a homomorphism).
  4097 
  4098 * ZF/Simplifier: install second copy of type solver that actually
  4099 makes use of TC rules declared to Isar proof contexts (or locales);
  4100 the old version is still required for ML proof scripts.
  4101 
  4102 
  4103 *** Cube ***
  4104 
  4105 * Converted to Isar theory format; use locales instead of axiomatic
  4106 theories.
  4107 
  4108 
  4109 *** ML ***
  4110 
  4111 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  4112 for ||>, ||>>, |>>,
  4113 
  4114 * Pure/library.ML no longer defines its own option datatype, but uses
  4115 that of the SML basis, which has constructors NONE and SOME instead of
  4116 None and Some, as well as exception Option.Option instead of OPTION.
  4117 The functions the, if_none, is_some, is_none have been adapted
  4118 accordingly, while Option.map replaces apsome.
  4119 
  4120 * Pure/library.ML: the exception LIST has been given up in favour of
  4121 the standard exceptions Empty and Subscript, as well as
  4122 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  4123 superceded by the standard hd and tl functions etc.
  4124 
  4125 A number of basic list functions are no longer exported to the ML
  4126 toplevel, as they are variants of predefined functions.  The following
  4127 suggests how one can translate existing code:
  4128 
  4129     rev_append xs ys = List.revAppend (xs, ys)
  4130     nth_elem (i, xs) = List.nth (xs, i)
  4131     last_elem xs = List.last xs
  4132     flat xss = List.concat xss
  4133     seq fs = List.app fs
  4134     partition P xs = List.partition P xs
  4135     mapfilter f xs = List.mapPartial f xs
  4136 
  4137 * Pure/library.ML: several combinators for linear functional
  4138 transformations, notably reverse application and composition:
  4139 
  4140   x |> f                f #> g
  4141   (x, y) |-> f          f #-> g
  4142 
  4143 * Pure/library.ML: introduced/changed precedence of infix operators:
  4144 
  4145   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  4146   infix 2 ?;
  4147   infix 3 o oo ooo oooo;
  4148   infix 4 ~~ upto downto;
  4149 
  4150 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  4151 infix operators.
  4152 
  4153 * Pure/library.ML: natural list combinators fold, fold_rev, and
  4154 fold_map support linear functional transformations and nesting.  For
  4155 example:
  4156 
  4157   fold f [x1, ..., xN] y =
  4158     y |> f x1 |> ... |> f xN
  4159 
  4160   (fold o fold) f [xs1, ..., xsN] y =
  4161     y |> fold f xs1 |> ... |> fold f xsN
  4162 
  4163   fold f [x1, ..., xN] =
  4164     f x1 #> ... #> f xN
  4165 
  4166   (fold o fold) f [xs1, ..., xsN] =
  4167     fold f xs1 #> ... #> fold f xsN
  4168 
  4169 * Pure/library.ML: the following selectors on type 'a option are
  4170 available:
  4171 
  4172   the:               'a option -> 'a  (*partial*)
  4173   these:             'a option -> 'a  where 'a = 'b list
  4174   the_default: 'a -> 'a option -> 'a
  4175   the_list:          'a option -> 'a list
  4176 
  4177 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4178 basic operations for association lists, following natural argument
  4179 order; moreover the explicit equality predicate passed here avoids
  4180 potentially expensive polymorphic runtime equality checks.
  4181 The old functions may be expressed as follows:
  4182 
  4183   assoc = uncurry (AList.lookup (op =))
  4184   assocs = these oo AList.lookup (op =)
  4185   overwrite = uncurry (AList.update (op =)) o swap
  4186 
  4187 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4188 
  4189   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  4190   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  4191 
  4192 replacing make_keylist and keyfilter (occassionally used)
  4193 Naive rewrites:
  4194 
  4195   make_keylist = AList.make
  4196   keyfilter = AList.find (op =)
  4197 
  4198 * eq_fst and eq_snd now take explicit equality parameter, thus
  4199   avoiding eqtypes. Naive rewrites:
  4200 
  4201     eq_fst = eq_fst (op =)
  4202     eq_snd = eq_snd (op =)
  4203 
  4204 * Removed deprecated apl and apr (rarely used).
  4205   Naive rewrites:
  4206 
  4207     apl (n, op) =>>= curry op n
  4208     apr (op, m) =>>= fn n => op (n, m)
  4209 
  4210 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  4211 provides a reasonably efficient light-weight implementation of sets as
  4212 lists.
  4213 
  4214 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  4215 few new operations; existing lookup and update are now curried to
  4216 follow natural argument order (for use with fold etc.);
  4217 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  4218 
  4219 * Pure/General: output via the Isabelle channels of
  4220 writeln/warning/error etc. is now passed through Output.output, with a
  4221 hook for arbitrary transformations depending on the print_mode
  4222 (cf. Output.add_mode -- the first active mode that provides a output
  4223 function wins).  Already formatted output may be embedded into further
  4224 text via Output.raw; the result of Pretty.string_of/str_of and derived
  4225 functions (string_of_term/cterm/thm etc.) is already marked raw to
  4226 accommodate easy composition of diagnostic messages etc.  Programmers
  4227 rarely need to care about Output.output or Output.raw at all, with
  4228 some notable exceptions: Output.output is required when bypassing the
  4229 standard channels (writeln etc.), or in token translations to produce
  4230 properly formatted results; Output.raw is required when capturing
  4231 already output material that will eventually be presented to the user
  4232 a second time.  For the default print mode, both Output.output and
  4233 Output.raw have no effect.
  4234 
  4235 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  4236 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  4237 cumulative results are displayed at the end of a batch session.
  4238 
  4239 * Pure/General: File.sysify_path and File.quote_sysify path have been
  4240 replaced by File.platform_path and File.shell_path (with appropriate
  4241 hooks).  This provides a clean interface for unusual systems where the
  4242 internal and external process view of file names are different.
  4243 
  4244 * Pure: more efficient orders for basic syntactic entities: added
  4245 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  4246 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  4247 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  4248 orders now -- potential INCOMPATIBILITY for code that depends on a
  4249 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  4250 Library.sort_strings on result).
  4251 
  4252 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  4253 fold_types traverse types/terms from left to right, observing natural
  4254 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  4255 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  4256 
  4257 * Pure: name spaces have been refined, with significant changes of the
  4258 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  4259 to extern(_table).  The plain name entry path is superceded by a
  4260 general 'naming' context, which also includes the 'policy' to produce
  4261 a fully qualified name and external accesses of a fully qualified
  4262 name; NameSpace.extend is superceded by context dependent
  4263 Sign.declare_name.  Several theory and proof context operations modify
  4264 the naming context.  Especially note Theory.restore_naming and
  4265 ProofContext.restore_naming to get back to a sane state; note that
  4266 Theory.add_path is no longer sufficient to recover from
  4267 Theory.absolute_path in particular.
  4268 
  4269 * Pure: new flags short_names (default false) and unique_names
  4270 (default true) for controlling output of qualified names.  If
  4271 short_names is set, names are printed unqualified.  If unique_names is
  4272 reset, the name prefix is reduced to the minimum required to achieve
  4273 the original result when interning again, even if there is an overlap
  4274 with earlier declarations.
  4275 
  4276 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  4277 now 'extend', and 'merge' gets an additional Pretty.pp argument
  4278 (useful for printing error messages).  INCOMPATIBILITY.
  4279 
  4280 * Pure: major reorganization of the theory context.  Type Sign.sg and
  4281 Theory.theory are now identified, referring to the universal
  4282 Context.theory (see Pure/context.ML).  Actual signature and theory
  4283 content is managed as theory data.  The old code and interfaces were
  4284 spread over many files and structures; the new arrangement introduces
  4285 considerable INCOMPATIBILITY to gain more clarity:
  4286 
  4287   Context -- theory management operations (name, identity, inclusion,
  4288     parents, ancestors, merge, etc.), plus generic theory data;
  4289 
  4290   Sign -- logical signature and syntax operations (declaring consts,
  4291     types, etc.), plus certify/read for common entities;
  4292 
  4293   Theory -- logical theory operations (stating axioms, definitions,
  4294     oracles), plus a copy of logical signature operations (consts,
  4295     types, etc.); also a few basic management operations (Theory.copy,
  4296     Theory.merge, etc.)
  4297 
  4298 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  4299 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  4300 for convenience -- they merely return the theory.
  4301 
  4302 * Pure: type Type.tsig is superceded by theory in most interfaces.
  4303 
  4304 * Pure: the Isar proof context type is already defined early in Pure
  4305 as Context.proof (note that ProofContext.context and Proof.context are
  4306 aliases, where the latter is the preferred name).  This enables other
  4307 Isabelle components to refer to that type even before Isar is present.
  4308 
  4309 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  4310 typeK, constK, axiomK, oracleK), but provide explicit operations for
  4311 any of these kinds.  For example, Sign.intern typeK is now
  4312 Sign.intern_type, Theory.hide_space Sign.typeK is now
  4313 Theory.hide_types.  Also note that former
  4314 Theory.hide_classes/types/consts are now
  4315 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  4316 internalize their arguments!  INCOMPATIBILITY.
  4317 
  4318 * Pure: get_thm interface (of PureThy and ProofContext) expects
  4319 datatype thmref (with constructors Name and NameSelection) instead of
  4320 plain string -- INCOMPATIBILITY;
  4321 
  4322 * Pure: cases produced by proof methods specify options, where NONE
  4323 means to remove case bindings -- INCOMPATIBILITY in
  4324 (RAW_)METHOD_CASES.
  4325 
  4326 * Pure: the following operations retrieve axioms or theorems from a
  4327 theory node or theory hierarchy, respectively:
  4328 
  4329   Theory.axioms_of: theory -> (string * term) list
  4330   Theory.all_axioms_of: theory -> (string * term) list
  4331   PureThy.thms_of: theory -> (string * thm) list
  4332   PureThy.all_thms_of: theory -> (string * thm) list
  4333 
  4334 * Pure: print_tac now outputs the goal through the trace channel.
  4335 
  4336 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  4337 Reference Toplevel.debug (default false) controls detailed printing
  4338 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  4339 controls execution profiling -- set to 1 for time and 2 for space
  4340 (both increase the runtime).
  4341 
  4342 * Isar session: The initial use of ROOT.ML is now always timed,
  4343 i.e. the log will show the actual process times, in contrast to the
  4344 elapsed wall-clock time that the outer shell wrapper produces.
  4345 
  4346 * Simplifier: improved handling of bound variables (nameless
  4347 representation, avoid allocating new strings).  Simprocs that invoke
  4348 the Simplifier recursively should use Simplifier.inherit_bounds to
  4349 avoid local name clashes.  Failure to do so produces warnings
  4350 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  4351 for further details.
  4352 
  4353 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  4354 bindings for all theorems stored within a given theory; this may help
  4355 in porting non-Isar theories to Isar ones, while keeping ML proof
  4356 scripts for the time being.
  4357 
  4358 * ML operator HTML.with_charset specifies the charset begin used for
  4359 generated HTML files.  For example:
  4360 
  4361   HTML.with_charset "utf-8" use_thy "Hebrew";
  4362   HTML.with_charset "utf-8" use_thy "Chinese";
  4363 
  4364 
  4365 *** System ***
  4366 
  4367 * Allow symlinks to all proper Isabelle executables (Isabelle,
  4368 isabelle, isatool etc.).
  4369 
  4370 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  4371 isatool doc, isatool mkdir, display_drafts etc.).
  4372 
  4373 * isatool usedir: option -f allows specification of the ML file to be
  4374 used by Isabelle; default is ROOT.ML.
  4375 
  4376 * New isatool version outputs the version identifier of the Isabelle
  4377 distribution being used.
  4378 
  4379 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  4380 (containing Boolean satisfiability problems) into Isabelle/HOL
  4381 theories.
  4382 
  4383 
  4384 
  4385 New in Isabelle2004 (April 2004)
  4386 --------------------------------
  4387 
  4388 *** General ***
  4389 
  4390 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  4391   Replaces linorder.ML.
  4392 
  4393 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  4394   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  4395   (\<a>...\<z>), are now considered normal letters, and can therefore
  4396   be used anywhere where an ASCII letter (a...zA...Z) has until
  4397   now. COMPATIBILITY: This obviously changes the parsing of some
  4398   terms, especially where a symbol has been used as a binder, say
  4399   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  4400   as an identifier.  Fix it by inserting a space around former
  4401   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  4402   existing theory and ML files.
  4403 
  4404 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  4405 
  4406 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  4407   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  4408   a normal (but invisible) letter. For multiple letter subscripts repeat
  4409   \<^isub> like this: x\<^isub>1\<^isub>2.
  4410 
  4411 * Pure: There are now sub-/superscripts that can span more than one
  4412   character. Text between \<^bsub> and \<^esub> is set in subscript in
  4413   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  4414   superscript. The new control characters are not identifier parts.
  4415 
  4416 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  4417   content of "..." to the latex file instead of \isacntrl... . The "..."
  4418   may consist of any printable characters excluding the end bracket >.
  4419 
  4420 * Pure: Using new Isar command "finalconsts" (or the ML functions
  4421   Theory.add_finals or Theory.add_finals_i) it is now possible to
  4422   declare constants "final", which prevents their being given a definition
  4423   later.  It is useful for constants whose behaviour is fixed axiomatically
  4424   rather than definitionally, such as the meta-logic connectives.
  4425 
  4426 * Pure: 'instance' now handles general arities with general sorts
  4427   (i.e. intersections of classes),
  4428 
  4429 * Presentation: generated HTML now uses a CSS style sheet to make layout
  4430   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  4431   It can be changed to alter the colors/layout of generated pages.
  4432 
  4433 
  4434 *** Isar ***
  4435 
  4436 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  4437   cut_tac, subgoal_tac and thin_tac:
  4438   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  4439     locales are no longer forced to write Isar proof scripts.
  4440     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  4441     emulations.
  4442   - INCOMPATIBILITY: names of variables to be instantiated may no
  4443     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  4444     This is consistent with the instantiation attribute "where".
  4445 
  4446 * Attributes "where" and "of":
  4447   - Now take type variables of instantiated theorem into account when reading
  4448     the instantiation string.  This fixes a bug that caused instantiated
  4449     theorems to have too special types in some circumstances.
  4450   - "where" permits explicit instantiations of type variables.
  4451 
  4452 * Calculation commands "moreover" and "also" no longer interfere with
  4453   current facts ("this"), admitting arbitrary combinations with "then"
  4454   and derived forms.
  4455 
  4456 * Locales:
  4457   - Goal statements involving the context element "includes" no longer
  4458     generate theorems with internal delta predicates (those ending on
  4459     "_axioms") in the premise.
  4460     Resolve particular premise with <locale>.intro to obtain old form.
  4461   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  4462     specification and "includes" elements in goal statement.
  4463   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  4464     [intro?] and [elim?] (respectively) by default.
  4465   - Experimental command for instantiation of locales in proof contexts:
  4466         instantiate <label>[<attrs>]: <loc>
  4467     Instantiates locale <loc> and adds all its theorems to the current context
  4468     taking into account their attributes.  Label and attrs are optional
  4469     modifiers, like in theorem declarations.  If present, names of
  4470     instantiated theorems are qualified with <label>, and the attributes
  4471     <attrs> are applied after any attributes these theorems might have already.
  4472       If the locale has assumptions, a chained fact of the form
  4473     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  4474     are derived.  The command does not support old-style locales declared
  4475     with "locale (open)".
  4476       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  4477 
  4478 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  4479   (Isar) contexts.
  4480 
  4481 
  4482 *** HOL ***
  4483 
  4484 * Proof import: new image HOL4 contains the imported library from
  4485   the HOL4 system with about 2500 theorems. It is imported by
  4486   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  4487   can be used like any other Isabelle image.  See
  4488   HOL/Import/HOL/README for more information.
  4489 
  4490 * Simplifier:
  4491   - Much improved handling of linear and partial orders.
  4492     Reasoners for linear and partial orders are set up for type classes
  4493     "linorder" and "order" respectively, and are added to the default simpset
  4494     as solvers.  This means that the simplifier can build transitivity chains
  4495     to solve goals from the assumptions.
  4496   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  4497     of blast or auto after simplification become unnecessary because the goal
  4498     is solved by simplification already.
  4499 
  4500 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  4501     all proved in axiomatic type classes for semirings, rings and fields.
  4502 
  4503 * Numerics:
  4504   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  4505     now formalized using the Ring_and_Field theory mentioned above.
  4506   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  4507     than before, because now they are set up once in a generic manner.
  4508   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  4509     Look for the general versions in Ring_and_Field (and Power if they concern
  4510     exponentiation).
  4511 
  4512 * Type "rat" of the rational numbers is now available in HOL-Complex.
  4513 
  4514 * Records:
  4515   - Record types are now by default printed with their type abbreviation
  4516     instead of the list of all field types. This can be configured via
  4517     the reference "print_record_type_abbr".
  4518   - Simproc "record_upd_simproc" for simplification of multiple updates added
  4519     (not enabled by default).
  4520   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  4521     EX x. x = sel r to True (not enabled by default).
  4522   - Tactic "record_split_simp_tac" to split and simplify records added.
  4523 
  4524 * 'specification' command added, allowing for definition by
  4525   specification.  There is also an 'ax_specification' command that
  4526   introduces the new constants axiomatically.
  4527 
  4528 * arith(_tac) is now able to generate counterexamples for reals as well.
  4529 
  4530 * HOL-Algebra: new locale "ring" for non-commutative rings.
  4531 
  4532 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  4533   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  4534 
  4535 * HOL-Matrix: a first theory for matrices in HOL with an application of
  4536   matrix theory to linear programming.
  4537 
  4538 * Unions and Intersections:
  4539   The latex output syntax of UN and INT has been changed
  4540   from "\Union x \in A. B" to "\Union_{x \in A} B"
  4541   i.e. the index formulae has become a subscript.
  4542   Similarly for "\Union x. B", and for \Inter instead of \Union.
  4543 
  4544 * Unions and Intersections over Intervals:
  4545   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  4546   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  4547   like in normal math, and corresponding versions for < and for intersection.
  4548 
  4549 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  4550   lexicographic dictonary ordering has been added as "lexord".
  4551 
  4552 * ML: the legacy theory structures Int and List have been removed. They had
  4553   conflicted with ML Basis Library structures having the same names.
  4554 
  4555 * 'refute' command added to search for (finite) countermodels.  Only works
  4556   for a fragment of HOL.  The installation of an external SAT solver is
  4557   highly recommended.  See "HOL/Refute.thy" for details.
  4558 
  4559 * 'quickcheck' command: Allows to find counterexamples by evaluating
  4560   formulae under an assignment of free variables to random values.
  4561   In contrast to 'refute', it can deal with inductive datatypes,
  4562   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  4563   for examples.
  4564 
  4565 
  4566 *** HOLCF ***
  4567 
  4568 * Streams now come with concatenation and are part of the HOLCF image
  4569 
  4570 
  4571 
  4572 New in Isabelle2003 (May 2003)
  4573 ------------------------------
  4574 
  4575 *** General ***
  4576 
  4577 * Provers/simplifier:
  4578 
  4579   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  4580     Assumptions are now subject to complete mutual simplification,
  4581     not just from left to right. The simplifier now preserves
  4582     the order of assumptions.
  4583 
  4584     Potential INCOMPATIBILITY:
  4585 
  4586     -- simp sometimes diverges where the old version did
  4587        not, e.g. invoking simp on the goal
  4588 
  4589         [| P (f x); y = x; f x = f y |] ==> Q
  4590 
  4591        now gives rise to the infinite reduction sequence
  4592 
  4593         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  4594 
  4595        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  4596        kind of problem.
  4597 
  4598     -- Tactics combining classical reasoner and simplification (such as auto)
  4599        are also affected by this change, because many of them rely on
  4600        simp. They may sometimes diverge as well or yield a different numbers
  4601        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  4602        in case of problems. Sometimes subsequent calls to the classical
  4603        reasoner will fail because a preceeding call to the simplifier too
  4604        eagerly simplified the goal, e.g. deleted redundant premises.
  4605 
  4606   - The simplifier trace now shows the names of the applied rewrite rules
  4607 
  4608   - You can limit the number of recursive invocations of the simplifier
  4609     during conditional rewriting (where the simplifie tries to solve the
  4610     conditions before applying the rewrite rule):
  4611     ML "simp_depth_limit := n"
  4612     where n is an integer. Thus you can force termination where previously
  4613     the simplifier would diverge.
  4614 
  4615   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  4616 
  4617   - No longer aborts on failed congruence proof.  Instead, the
  4618     congruence is ignored.
  4619 
  4620 * Pure: New generic framework for extracting programs from constructive
  4621   proofs. See HOL/Extraction.thy for an example instantiation, as well
  4622   as HOL/Extraction for some case studies.
  4623 
  4624 * Pure: The main goal of the proof state is no longer shown by default, only
  4625 the subgoals. This behaviour is controlled by a new flag.
  4626    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  4627 (ML: Proof.show_main_goal).
  4628 
  4629 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  4630 rules whose conclusion matches subgoal 1:
  4631       PG menu: Isabelle/Isar -> Show me -> matching rules
  4632 The rules are ordered by how closely they match the subgoal.
  4633 In particular, rules that solve a subgoal outright are displayed first
  4634 (or rather last, the way they are printed).
  4635 (ML: ProofGeneral.print_intros())
  4636 
  4637 * Pure: New flag trace_unify_fail causes unification to print
  4638 diagnostic information (PG: in trace buffer) when it fails. This is
  4639 useful for figuring out why single step proofs like rule, erule or
  4640 assumption failed.
  4641 
  4642 * Pure: Locale specifications now produce predicate definitions
  4643 according to the body of text (covering assumptions modulo local
  4644 definitions); predicate "loc_axioms" covers newly introduced text,
  4645 while "loc" is cumulative wrt. all included locale expressions; the
  4646 latter view is presented only on export into the global theory
  4647 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  4648 on the old view without predicates;
  4649 
  4650 * Pure: predefined locales "var" and "struct" are useful for sharing
  4651 parameters (as in CASL, for example); just specify something like
  4652 ``var x + var y + struct M'' as import;
  4653 
  4654 * Pure: improved thms_containing: proper indexing of facts instead of
  4655 raw theorems; check validity of results wrt. current name space;
  4656 include local facts of proof configuration (also covers active
  4657 locales), cover fixed variables in index; may use "_" in term
  4658 specification; an optional limit for the number of printed facts may
  4659 be given (the default is 40);
  4660 
  4661 * Pure: disallow duplicate fact bindings within new-style theory files
  4662 (batch-mode only);
  4663 
  4664 * Provers: improved induct method: assumptions introduced by case
  4665 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  4666 the goal statement); "foo" still refers to all facts collectively;
  4667 
  4668 * Provers: the function blast.overloaded has been removed: all constants
  4669 are regarded as potentially overloaded, which improves robustness in exchange
  4670 for slight decrease in efficiency;
  4671 
  4672 * Provers/linorder: New generic prover for transitivity reasoning over
  4673 linear orders.  Note: this prover is not efficient!
  4674 
  4675 * Isar: preview of problems to finish 'show' now produce an error
  4676 rather than just a warning (in interactive mode);
  4677 
  4678 
  4679 *** HOL ***
  4680 
  4681 * arith(_tac)
  4682 
  4683  - Produces a counter example if it cannot prove a goal.
  4684    Note that the counter example may be spurious if the goal is not a formula
  4685    of quantifier-free linear arithmetic.
  4686    In ProofGeneral the counter example appears in the trace buffer.
  4687 
  4688  - Knows about div k and mod k where k is a numeral of type nat or int.
  4689 
  4690  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  4691    linear arithmetic fails. This takes account of quantifiers and divisibility.
  4692    Presburger arithmetic can also be called explicitly via presburger(_tac).
  4693 
  4694 * simp's arithmetic capabilities have been enhanced a bit: it now
  4695 takes ~= in premises into account (by performing a case split);
  4696 
  4697 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  4698 are distributed over a sum of terms;
  4699 
  4700 * New tactic "trans_tac" and method "trans" instantiate
  4701 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  4702 "<=", "<" and "=").
  4703 
  4704 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  4705 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  4706 
  4707 * 'typedef' command has new option "open" to suppress the set
  4708 definition;
  4709 
  4710 * functions Min and Max on finite sets have been introduced (theory
  4711 Finite_Set);
  4712 
  4713 * attribute [symmetric] now works for relations as well; it turns
  4714 (x,y) : R^-1 into (y,x) : R, and vice versa;
  4715 
  4716 * induct over a !!-quantified statement (say !!x1..xn):
  4717   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  4718 
  4719 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  4720 %x. None. Warning: empty_def now refers to the previously hidden definition
  4721 of the empty set.
  4722 
  4723 * Algebra: formalization of classical algebra.  Intended as base for
  4724 any algebraic development in Isabelle.  Currently covers group theory
  4725 (up to Sylow's theorem) and ring theory (Universal Property of
  4726 Univariate Polynomials).  Contributions welcome;
  4727 
  4728 * GroupTheory: deleted, since its material has been moved to Algebra;
  4729 
  4730 * Complex: new directory of the complex numbers with numeric constants,
  4731 nonstandard complex numbers, and some complex analysis, standard and
  4732 nonstandard (Jacques Fleuriot);
  4733 
  4734 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  4735 
  4736 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  4737 Fleuriot);
  4738 
  4739 * Real/HahnBanach: updated and adapted to locales;
  4740 
  4741 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  4742 Gray and Kramer);
  4743 
  4744 * UNITY: added the Meier-Sanders theory of progress sets;
  4745 
  4746 * MicroJava: bytecode verifier and lightweight bytecode verifier
  4747 as abstract algorithms, instantiated to the JVM;
  4748 
  4749 * Bali: Java source language formalization. Type system, operational
  4750 semantics, axiomatic semantics. Supported language features:
  4751 classes, interfaces, objects,virtual methods, static methods,
  4752 static/instance fields, arrays, access modifiers, definite
  4753 assignment, exceptions.
  4754 
  4755 
  4756 *** ZF ***
  4757 
  4758 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  4759 universe, etc.);
  4760 
  4761 * Main ZF: virtually all theories converted to new-style format;
  4762 
  4763 
  4764 *** ML ***
  4765 
  4766 * Pure: Tactic.prove provides sane interface for internal proofs;
  4767 omits the infamous "standard" operation, so this is more appropriate
  4768 than prove_goalw_cterm in many situations (e.g. in simprocs);
  4769 
  4770 * Pure: improved error reporting of simprocs;
  4771 
  4772 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  4773 up simprocs;
  4774 
  4775 
  4776 *** Document preparation ***
  4777 
  4778 * uses \par instead of \\ for line breaks in theory text. This may
  4779 shift some page breaks in large documents. To get the old behaviour
  4780 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  4781 
  4782 * minimized dependencies of isabelle.sty and isabellesym.sty on
  4783 other packages
  4784 
  4785 * \<euro> now needs package babel/greek instead of marvosym (which
  4786 broke \Rightarrow)
  4787 
  4788 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  4789 textcomp package)
  4790 
  4791 
  4792 
  4793 New in Isabelle2002 (March 2002)
  4794 --------------------------------
  4795 
  4796 *** Document preparation ***
  4797 
  4798 * greatly simplified document preparation setup, including more
  4799 graceful interpretation of isatool usedir -i/-d/-D options, and more
  4800 instructive isatool mkdir; users should basically be able to get
  4801 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  4802 users may run a separate document processing stage manually like this:
  4803 "isatool usedir -D output HOL Test && isatool document Test/output";
  4804 
  4805 * theory dependency graph may now be incorporated into documents;
  4806 isatool usedir -g true will produce session_graph.eps/.pdf for use
  4807 with \includegraphics of LaTeX;
  4808 
  4809 * proper spacing of consecutive markup elements, especially text
  4810 blocks after section headings;
  4811 
  4812 * support bold style (for single symbols only), input syntax is like
  4813 this: "\<^bold>\<alpha>" or "\<^bold>A";
  4814 
  4815 * \<bullet> is now output as bold \cdot by default, which looks much
  4816 better in printed text;
  4817 
  4818 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  4819 note that these symbols are currently unavailable in Proof General /
  4820 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  4821 
  4822 * isatool latex no longer depends on changed TEXINPUTS, instead
  4823 isatool document copies the Isabelle style files to the target
  4824 location;
  4825 
  4826 
  4827 *** Isar ***
  4828 
  4829 * Pure/Provers: improved proof by cases and induction;
  4830   - 'case' command admits impromptu naming of parameters (such as
  4831     "case (Suc n)");
  4832   - 'induct' method divinates rule instantiation from the inductive
  4833     claim; no longer requires excessive ?P bindings for proper
  4834     instantiation of cases;
  4835   - 'induct' method properly enumerates all possibilities of set/type
  4836     rules; as a consequence facts may be also passed through *type*
  4837     rules without further ado;
  4838   - 'induct' method now derives symbolic cases from the *rulified*
  4839     rule (before it used to rulify cases stemming from the internal
  4840     atomized version); this means that the context of a non-atomic
  4841     statement becomes is included in the hypothesis, avoiding the
  4842     slightly cumbersome show "PROP ?case" form;
  4843   - 'induct' may now use elim-style induction rules without chaining
  4844     facts, using ``missing'' premises from the goal state; this allows
  4845     rules stemming from inductive sets to be applied in unstructured
  4846     scripts, while still benefitting from proper handling of non-atomic
  4847     statements; NB: major inductive premises need to be put first, all
  4848     the rest of the goal is passed through the induction;
  4849   - 'induct' proper support for mutual induction involving non-atomic
  4850     rule statements (uses the new concept of simultaneous goals, see
  4851     below);
  4852   - append all possible rule selections, but only use the first
  4853     success (no backtracking);
  4854   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  4855   - undeclared rule case names default to numbers 1, 2, 3, ...;
  4856   - added 'print_induct_rules' (covered by help item in recent Proof
  4857     General versions);
  4858   - moved induct/cases attributes to Pure, methods to Provers;
  4859   - generic method setup instantiated for FOL and HOL;
  4860 
  4861 * Pure: support multiple simultaneous goal statements, for example
  4862 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  4863 meta-level mechanism, this acts as if several individual goals had
  4864 been stated separately; in particular common proof methods need to be
  4865 repeated in order to cover all claims; note that a single elimination
  4866 step is *not* sufficient to establish the two conjunctions, so this
  4867 fails:
  4868 
  4869   assume "A & B" then have A and B ..   (*".." fails*)
  4870 
  4871 better use "obtain" in situations as above; alternative refer to
  4872 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  4873 
  4874 * Pure: proper integration with ``locales''; unlike the original
  4875 version by Florian Kammller, Isar locales package high-level proof
  4876 contexts rather than raw logical ones (e.g. we admit to include
  4877 attributes everywhere); operations on locales include merge and
  4878 rename; support for implicit arguments (``structures''); simultaneous
  4879 type-inference over imports and text; see also HOL/ex/Locales.thy for
  4880 some examples;
  4881 
  4882 * Pure: the following commands have been ``localized'', supporting a
  4883 target locale specification "(in name)": 'lemma', 'theorem',
  4884 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  4885 stored both within the locale and at the theory level (exported and
  4886 qualified by the locale name);
  4887 
  4888 * Pure: theory goals may now be specified in ``long'' form, with
  4889 ad-hoc contexts consisting of arbitrary locale elements. for example
  4890 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  4891 definitions may be given, too); the result is a meta-level rule with
  4892 the context elements being discharged in the obvious way;
  4893 
  4894 * Pure: new proof command 'using' allows to augment currently used
  4895 facts after a goal statement ('using' is syntactically analogous to
  4896 'apply', but acts on the goal's facts only); this allows chained facts
  4897 to be separated into parts given before and after a claim, as in
  4898 ``from a and b have C using d and e <proof>'';
  4899 
  4900 * Pure: renamed "antecedent" case to "rule_context";
  4901 
  4902 * Pure: new 'judgment' command records explicit information about the
  4903 object-logic embedding (used by several tools internally); no longer
  4904 use hard-wired "Trueprop";
  4905 
  4906 * Pure: added 'corollary' command;
  4907 
  4908 * Pure: fixed 'token_translation' command;
  4909 
  4910 * Pure: removed obsolete 'exported' attribute;
  4911 
  4912 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  4913 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  4914 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  4915 
  4916 * Pure: method 'atomize' presents local goal premises as object-level
  4917 statements (atomic meta-level propositions); setup controlled via
  4918 rewrite rules declarations of 'atomize' attribute; example
  4919 application: 'induct' method with proper rule statements in improper
  4920 proof *scripts*;
  4921 
  4922 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  4923 now consider the syntactic context of assumptions, giving a better
  4924 chance to get type-inference of the arguments right (this is
  4925 especially important for locales);
  4926 
  4927 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  4928 mode;
  4929 
  4930 * Pure/obtain: the formal conclusion "thesis", being marked as
  4931 ``internal'', may no longer be reference directly in the text;
  4932 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  4933 situations;
  4934 
  4935 * Pure: generic 'sym' attribute which declares a rule both as pure
  4936 'elim?' and for the 'symmetric' operation;
  4937 
  4938 * Pure: marginal comments ``--'' may now occur just anywhere in the
  4939 text; the fixed correlation with particular command syntax has been
  4940 discontinued;
  4941 
  4942 * Pure: new method 'rules' is particularly well-suited for proof
  4943 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  4944 but often produces more compact proof terms with less detours;
  4945 
  4946 * Pure/Provers/classical: simplified integration with pure rule
  4947 attributes and methods; the classical "intro?/elim?/dest?"
  4948 declarations coincide with the pure ones; the "rule" method no longer
  4949 includes classically swapped intros; "intro" and "elim" methods no
  4950 longer pick rules from the context; also got rid of ML declarations
  4951 AddXIs/AddXEs/AddXDs; all of this has some potential for
  4952 INCOMPATIBILITY;
  4953 
  4954 * Provers/classical: attribute 'swapped' produces classical inversions
  4955 of introduction rules;
  4956 
  4957 * Provers/simplifier: 'simplified' attribute may refer to explicit
  4958 rules instead of full simplifier context; 'iff' attribute handles
  4959 conditional rules;
  4960 
  4961 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  4962 
  4963 * HOL: 'recdef' now fails on unfinished automated proofs, use
  4964 "(permissive)" option to recover old behavior;
  4965 
  4966 * HOL: 'inductive' no longer features separate (collective) attributes
  4967 for 'intros' (was found too confusing);
  4968 
  4969 * HOL: properly declared induction rules less_induct and
  4970 wf_induct_rule;
  4971 
  4972 
  4973 *** HOL ***
  4974 
  4975 * HOL: moved over to sane numeral syntax; the new policy is as
  4976 follows:
  4977 
  4978   - 0 and 1 are polymorphic constants, which are defined on any
  4979   numeric type (nat, int, real etc.);
  4980 
  4981   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  4982   binary representation internally;
  4983 
  4984   - type nat has special constructor Suc, and generally prefers Suc 0
  4985   over 1::nat and Suc (Suc 0) over 2::nat;
  4986 
  4987 This change may cause significant problems of INCOMPATIBILITY; here
  4988 are some hints on converting existing sources:
  4989 
  4990   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  4991   entities, so expressions involving "-" (unary or binary minus) need
  4992   to be spaced properly;
  4993 
  4994   - existing occurrences of "1" may need to be constraint "1::nat" or
  4995   even replaced by Suc 0; similar for old "2";
  4996 
  4997   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  4998 
  4999   - remove all special provisions on numerals in proofs;
  5000 
  5001 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  5002 representation (depends on bin_arith_simps in the default context);
  5003 
  5004 * HOL: symbolic syntax for x^2 (numeral 2);
  5005 
  5006 * HOL: the class of all HOL types is now called "type" rather than
  5007 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5008 in axclass/classes, instance/arities, and (usually rare) occurrences
  5009 in typings (of consts etc.); internally the class is called
  5010 "HOL.type", ML programs should refer to HOLogic.typeS;
  5011 
  5012 * HOL/record package improvements:
  5013   - new derived operations "fields" to build a partial record section,
  5014     "extend" to promote a fixed record to a record scheme, and
  5015     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5016     declared as simp by default;
  5017   - shared operations ("more", "fields", etc.) now need to be always
  5018     qualified) --- potential INCOMPATIBILITY;
  5019   - removed "make_scheme" operations (use "make" with "extend") --
  5020     INCOMPATIBILITY;
  5021   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5022   - provides cases/induct rules for use with corresponding Isar
  5023     methods (for concrete records, record schemes, concrete more
  5024     parts, and schematic more parts -- in that order);
  5025   - internal definitions directly based on a light-weight abstract
  5026     theory of product types over typedef rather than datatype;
  5027 
  5028 * HOL: generic code generator for generating executable ML code from
  5029 specifications; specific support for HOL constructs such as inductive
  5030 datatypes and sets, as well as recursive functions; can be invoked
  5031 via 'generate_code' theory section;
  5032 
  5033 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5034 
  5035 * HOL: consolidated and renamed several theories.  In particular:
  5036         Ord.thy has been absorbed into HOL.thy
  5037         String.thy has been absorbed into List.thy
  5038 
  5039 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5040 (beware of argument permutation!);
  5041 
  5042 * HOL: linorder_less_split superseded by linorder_cases;
  5043 
  5044 * HOL/List: "nodups" renamed to "distinct";
  5045 
  5046 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5047 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5048   - Ex_def has changed, now need to use some_eq_ex
  5049 
  5050 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5051 in this (rare) case use:
  5052 
  5053   delSWrapper "split_all_tac"
  5054   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  5055 
  5056 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  5057 MAY FAIL;
  5058 
  5059 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  5060 Isabelle's type classes, ^ on functions and relations has too general
  5061 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  5062 necessary to attach explicit type constraints;
  5063 
  5064 * HOL/Relation: the prefix name of the infix "O" has been changed from
  5065 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  5066 renamed accordingly (eg "compI" -> "rel_compI").
  5067 
  5068 * HOL: syntax translations now work properly with numerals and records
  5069 expressions;
  5070 
  5071 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  5072 of "lam" -- INCOMPATIBILITY;
  5073 
  5074 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  5075 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  5076 renamed "Product_Type.unit";
  5077 
  5078 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  5079 
  5080 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  5081 the "cases" method);
  5082 
  5083 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  5084 Florian Kammller);
  5085 
  5086 * HOL/IMP: updated and converted to new-style theory format; several
  5087 parts turned into readable document, with proper Isar proof texts and
  5088 some explanations (by Gerwin Klein);
  5089 
  5090 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  5091 
  5092 * HOL-Hyperreal is now a logic image;
  5093 
  5094 
  5095 *** HOLCF ***
  5096 
  5097 * Isar: consts/constdefs supports mixfix syntax for continuous
  5098 operations;
  5099 
  5100 * Isar: domain package adapted to new-style theory format, e.g. see
  5101 HOLCF/ex/Dnat.thy;
  5102 
  5103 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  5104 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  5105 lift.induct_tac, always use UU instead of Undef;
  5106 
  5107 * HOLCF/IMP: updated and converted to new-style theory;
  5108 
  5109 
  5110 *** ZF ***
  5111 
  5112 * Isar: proper integration of logic-specific tools and packages,
  5113 including theory commands '(co)inductive', '(co)datatype',
  5114 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  5115 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  5116 
  5117 * theory Main no longer includes AC; for the Axiom of Choice, base
  5118 your theory on Main_ZFC;
  5119 
  5120 * the integer library now covers quotients and remainders, with many
  5121 laws relating division to addition, multiplication, etc.;
  5122 
  5123 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  5124 typeless version of the formalism;
  5125 
  5126 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  5127 format;
  5128 
  5129 * ZF/Induct: new directory for examples of inductive definitions,
  5130 including theory Multiset for multiset orderings; converted to
  5131 new-style theory format;
  5132 
  5133 * ZF: many new theorems about lists, ordinals, etc.;
  5134 
  5135 
  5136 *** General ***
  5137 
  5138 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  5139 variable proof controls level of detail: 0 = no proofs (only oracle
  5140 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  5141 also ref manual for further ML interfaces;
  5142 
  5143 * Pure/axclass: removed obsolete ML interface
  5144 goal_subclass/goal_arity;
  5145 
  5146 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  5147 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  5148 separate tokens, so expressions involving minus need to be spaced
  5149 properly;
  5150 
  5151 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  5152 rather than "infixl" or "infixr";
  5153 
  5154 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  5155 sort constraint specifications in type inference; e.g. "x::_::foo"
  5156 ensures that the type of "x" is of sort "foo" (but not necessarily a
  5157 type variable);
  5158 
  5159 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  5160 control output of nested => (types); the default behavior is
  5161 "type_brackets";
  5162 
  5163 * Pure/syntax: builtin parse translation for "_constify" turns valued
  5164 tokens into AST constants;
  5165 
  5166 * Pure/syntax: prefer later declarations of translations and print
  5167 translation functions; potential INCOMPATIBILITY: need to reverse
  5168 multiple declarations for same syntax element constant;
  5169 
  5170 * Pure/show_hyps reset by default (in accordance to existing Isar
  5171 practice);
  5172 
  5173 * Provers/classical: renamed addaltern to addafter, addSaltern to
  5174 addSafter;
  5175 
  5176 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  5177 as well;
  5178 
  5179 * system: tested support for MacOS X; should be able to get Isabelle +
  5180 Proof General to work in a plain Terminal after installing Poly/ML
  5181 (e.g. from the Isabelle distribution area) and GNU bash alone
  5182 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  5183 support requires further installations, e.g. from
  5184 http://fink.sourceforge.net/);
  5185 
  5186 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  5187 
  5188 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  5189 of 40 MB), cf. ML_OPTIONS;
  5190 
  5191 * system: Proof General keywords specification is now part of the
  5192 Isabelle distribution (see etc/isar-keywords.el);
  5193 
  5194 * system: support for persistent Proof General sessions (refrain from
  5195 outdating all loaded theories on startup); user may create writable
  5196 logic images like this: ``isabelle -q HOL Test'';
  5197 
  5198 * system: smart selection of Isabelle process versus Isabelle
  5199 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  5200 run both "isabelle" and "Isabelle" even if file names are badly
  5201 damaged (executable inspects the case of the first letter of its own
  5202 name); added separate "isabelle-process" and "isabelle-interface";
  5203 
  5204 * system: refrain from any attempt at filtering input streams; no
  5205 longer support ``8bit'' encoding of old isabelle font, instead proper
  5206 iso-latin characters may now be used; the related isatools
  5207 "symbolinput" and "nonascii" have disappeared as well;
  5208 
  5209 * system: removed old "xterm" interface (the print modes "xterm" and
  5210 "xterm_color" are still available for direct use in a suitable
  5211 terminal);
  5212 
  5213 
  5214 
  5215 New in Isabelle99-2 (February 2001)
  5216 -----------------------------------
  5217 
  5218 *** Overview of INCOMPATIBILITIES ***
  5219 
  5220 * HOL: please note that theories in the Library and elsewhere often use the
  5221 new-style (Isar) format; to refer to their theorems in an ML script you must
  5222 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  5223 
  5224 * HOL: inductive package no longer splits induction rule aggressively,
  5225 but only as far as specified by the introductions given; the old
  5226 format may be recovered via ML function complete_split_rule or attribute
  5227 'split_rule (complete)';
  5228 
  5229 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  5230 gfp_Tarski to gfp_unfold;
  5231 
  5232 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  5233 
  5234 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  5235 relation); infix "^^" has been renamed "``"; infix "``" has been
  5236 renamed "`"; "univalent" has been renamed "single_valued";
  5237 
  5238 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  5239 operation;
  5240 
  5241 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  5242 
  5243 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  5244 
  5245 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  5246 consequence, it is no longer monotonic wrt. the local goal context
  5247 (which is now passed through the inductive cases);
  5248 
  5249 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  5250 \<gg> to \<ggreater>;
  5251 
  5252 
  5253 *** Document preparation ***
  5254 
  5255 * \isabellestyle{NAME} selects version of Isabelle output (currently
  5256 available: are "it" for near math-mode best-style output, "sl" for
  5257 slanted text style, and "tt" for plain type-writer; if no
  5258 \isabellestyle command is given, output is according to slanted
  5259 type-writer);
  5260 
  5261 * support sub/super scripts (for single symbols only), input syntax is
  5262 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  5263 
  5264 * some more standard symbols; see Appendix A of the system manual for
  5265 the complete list of symbols defined in isabellesym.sty;
  5266 
  5267 * improved isabelle style files; more abstract symbol implementation
  5268 (should now use \isamath{...} and \isatext{...} in custom symbol
  5269 definitions);
  5270 
  5271 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  5272 state; Note that presentation of goal states does not conform to
  5273 actual human-readable proof documents.  Please do not include goal
  5274 states into document output unless you really know what you are doing!
  5275 
  5276 * proper indentation of antiquoted output with proportional LaTeX
  5277 fonts;
  5278 
  5279 * no_document ML operator temporarily disables LaTeX document
  5280 generation;
  5281 
  5282 * isatool unsymbolize tunes sources for plain ASCII communication;
  5283 
  5284 
  5285 *** Isar ***
  5286 
  5287 * Pure: Isar now suffers initial goal statements to contain unbound
  5288 schematic variables (this does not conform to actual readable proof
  5289 documents, due to unpredictable outcome and non-compositional proof
  5290 checking); users who know what they are doing may use schematic goals
  5291 for Prolog-style synthesis of proven results;
  5292 
  5293 * Pure: assumption method (an implicit finishing) now handles actual
  5294 rules as well;
  5295 
  5296 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  5297 initial goal, declare "that" only as Pure intro (only for single
  5298 steps); the "that" rule assumption may now be involved in implicit
  5299 finishing, thus ".." becomes a feasible for trivial obtains;
  5300 
  5301 * Pure: default proof step now includes 'intro_classes'; thus trivial
  5302 instance proofs may be performed by "..";
  5303 
  5304 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  5305 statements as well;
  5306 
  5307 * Pure: more robust selection of calculational rules;
  5308 
  5309 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  5310 rule (as well as the assumption rule);
  5311 
  5312 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  5313 lemmas, using the graph browser tool;
  5314 
  5315 * Pure: predict failure of "show" in interactive mode;
  5316 
  5317 * Pure: 'thms_containing' now takes actual terms as arguments;
  5318 
  5319 * HOL: improved method 'induct' --- now handles non-atomic goals
  5320 (potential INCOMPATIBILITY); tuned error handling;
  5321 
  5322 * HOL: cases and induct rules now provide explicit hints about the
  5323 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  5324 any remaining facts are inserted into the goal verbatim;
  5325 
  5326 * HOL: local contexts (aka cases) may now contain term bindings as
  5327 well; the 'cases' and 'induct' methods new provide a ?case binding for
  5328 the result to be shown in each case;
  5329 
  5330 * HOL: added 'recdef_tc' command;
  5331 
  5332 * isatool convert assists in eliminating legacy ML scripts;
  5333 
  5334 
  5335 *** HOL ***
  5336 
  5337 * HOL/Library: a collection of generic theories to be used together
  5338 with main HOL; the theory loader path already includes this directory
  5339 by default; the following existing theories have been moved here:
  5340 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  5341 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  5342 
  5343 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  5344 modelling and verification task performed in Isabelle/HOL +
  5345 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  5346 
  5347 * HOL/Algebra: special summation operator SUM no longer exists, it has
  5348 been replaced by setsum; infix 'assoc' now has priority 50 (like
  5349 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  5350 'domain', this makes the theory consistent with mathematical
  5351 literature;
  5352 
  5353 * HOL basics: added overloaded operations "inverse" and "divide"
  5354 (infix "/"), syntax for generic "abs" operation, generic summation
  5355 operator \<Sum>;
  5356 
  5357 * HOL/typedef: simplified package, provide more useful rules (see also
  5358 HOL/subset.thy);
  5359 
  5360 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  5361 now expressed as a proper nested rule (old-style tactic scripts may
  5362 require atomize_strip_tac to cope with non-atomic premises);
  5363 
  5364 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  5365 to "split_conv" (old name still available for compatibility);
  5366 
  5367 * HOL: improved concrete syntax for strings (e.g. allows translation
  5368 rules with string literals);
  5369 
  5370 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  5371  and Fleuriot's mechanization of analysis, including the transcendental
  5372  functions for the reals;
  5373 
  5374 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  5375 
  5376 
  5377 *** CTT ***
  5378 
  5379 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  5380 "lam" is displayed as TWO lambda-symbols
  5381 
  5382 * CTT: theory Main now available, containing everything (that is, Bool
  5383 and Arith);
  5384 
  5385 
  5386 *** General ***
  5387 
  5388 * Pure: the Simplifier has been implemented properly as a derived rule
  5389 outside of the actual kernel (at last!); the overall performance
  5390 penalty in practical applications is about 50%, while reliability of
  5391 the Isabelle inference kernel has been greatly improved;
  5392 
  5393 * print modes "brackets" and "no_brackets" control output of nested =>
  5394 (types) and ==> (props); the default behaviour is "brackets";
  5395 
  5396 * Provers: fast_tac (and friends) now handle actual object-logic rules
  5397 as assumptions as well;
  5398 
  5399 * system: support Poly/ML 4.0;
  5400 
  5401 * system: isatool install handles KDE version 1 or 2;
  5402 
  5403 
  5404 
  5405 New in Isabelle99-1 (October 2000)
  5406 ----------------------------------
  5407 
  5408 *** Overview of INCOMPATIBILITIES ***
  5409 
  5410 * HOL: simplification of natural numbers is much changed; to partly
  5411 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  5412 issue the following ML commands:
  5413 
  5414   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  5415   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  5416 
  5417 * HOL: simplification no longer dives into case-expressions; this is
  5418 controlled by "t.weak_case_cong" for each datatype t;
  5419 
  5420 * HOL: nat_less_induct renamed to less_induct;
  5421 
  5422 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  5423 fixsome to patch .thy and .ML sources automatically;
  5424 
  5425   select_equality  -> some_equality
  5426   select_eq_Ex     -> some_eq_ex
  5427   selectI2EX       -> someI2_ex
  5428   selectI2         -> someI2
  5429   selectI          -> someI
  5430   select1_equality -> some1_equality
  5431   Eps_sym_eq       -> some_sym_eq_trivial
  5432   Eps_eq           -> some_eq_trivial
  5433 
  5434 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  5435 
  5436 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  5437 instead);
  5438 
  5439 * HOL: the recursion equations generated by 'recdef' are now called
  5440 f.simps instead of f.rules;
  5441 
  5442 * HOL: qed_spec_mp now also handles bounded ALL as well;
  5443 
  5444 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  5445 sometimes be needed;
  5446 
  5447 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  5448 
  5449 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  5450 
  5451 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  5452 product is now "<*>" instead of "Times"; the lexicographic product is
  5453 now "<*lex*>" instead of "**";
  5454 
  5455 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  5456 of main HOL, but was unused); better use HOL's datatype package;
  5457 
  5458 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  5459 the old syntax may be recovered as follows:
  5460 
  5461   syntax (symbols)
  5462     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  5463       (infixl "\\<oplus>" 100)
  5464 
  5465 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5466 
  5467 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  5468 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  5469 internally;
  5470 
  5471 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  5472 changed from A/r to A//r;
  5473 
  5474 * ZF: new treatment of arithmetic (nat & int) may break some old
  5475 proofs;
  5476 
  5477 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  5478 rulify -> rule_format, elimify -> elim_format, ...);
  5479 
  5480 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5481 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  5482 should have to change intro!! to intro? only); replaced "delrule" by
  5483 "rule del";
  5484 
  5485 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  5486 
  5487 * Provers: strengthened force_tac by using new first_best_tac;
  5488 
  5489 * LaTeX document preparation: several changes of isabelle.sty (see
  5490 lib/texinputs);
  5491 
  5492 
  5493 *** Document preparation ***
  5494 
  5495 * formal comments (text blocks etc.) in new-style theories may now
  5496 contain antiquotations of thm/prop/term/typ/text to be presented
  5497 according to latex print mode; concrete syntax is like this:
  5498 @{term[show_types] "f(x) = a + x"};
  5499 
  5500 * isatool mkdir provides easy setup of Isabelle session directories,
  5501 including proper document sources;
  5502 
  5503 * generated LaTeX sources are now deleted after successful run
  5504 (isatool document -c); may retain a copy somewhere else via -D option
  5505 of isatool usedir;
  5506 
  5507 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  5508 style files, achieving self-contained LaTeX sources and simplifying
  5509 LaTeX debugging;
  5510 
  5511 * old-style theories now produce (crude) LaTeX output as well;
  5512 
  5513 * browser info session directories are now self-contained (may be put
  5514 on WWW server seperately); improved graphs of nested sessions; removed
  5515 graph for 'all sessions';
  5516 
  5517 * several improvements in isabelle style files; \isabellestyle{it}
  5518 produces fake math mode output; \isamarkupheader is now \section by
  5519 default; see lib/texinputs/isabelle.sty etc.;
  5520 
  5521 
  5522 *** Isar ***
  5523 
  5524 * Isar/Pure: local results and corresponding term bindings are now
  5525 subject to Hindley-Milner polymorphism (similar to ML); this
  5526 accommodates incremental type-inference very nicely;
  5527 
  5528 * Isar/Pure: new derived language element 'obtain' supports
  5529 generalized existence reasoning;
  5530 
  5531 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  5532 support accumulation of results, without applying any rules yet;
  5533 useful to collect intermediate results without explicit name
  5534 references, and for use with transitivity rules with more than 2
  5535 premises;
  5536 
  5537 * Isar/Pure: scalable support for case-analysis type proofs: new
  5538 'case' language element refers to local contexts symbolically, as
  5539 produced by certain proof methods; internally, case names are attached
  5540 to theorems as "tags";
  5541 
  5542 * Isar/Pure: theory command 'hide' removes declarations from
  5543 class/type/const name spaces;
  5544 
  5545 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  5546 indicate potential overloading;
  5547 
  5548 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  5549 
  5550 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  5551 "{a,b,c}" instead of {a,b,c};
  5552 
  5553 * Isar/Pure now provides its own version of intro/elim/dest
  5554 attributes; useful for building new logics, but beware of confusion
  5555 with the version in Provers/classical;
  5556 
  5557 * Isar/Pure: the local context of (non-atomic) goals is provided via
  5558 case name 'antecedent';
  5559 
  5560 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  5561 to the current context is now done automatically);
  5562 
  5563 * Isar/Pure: theory command 'method_setup' provides a simple interface
  5564 for definining proof methods in ML;
  5565 
  5566 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5567 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  5568 most cases, one should have to change intro!! to intro? only);
  5569 replaced "delrule" by "rule del";
  5570 
  5571 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  5572 'symmetric' attribute (the latter supercedes [RS sym]);
  5573 
  5574 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  5575 method modifier); 'simp' method: 'only:' modifier removes loopers as
  5576 well (including splits);
  5577 
  5578 * Isar/Provers: Simplifier and Classical methods now support all kind
  5579 of modifiers used in the past, including 'cong', 'iff', etc.
  5580 
  5581 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  5582 of Simplifier and Classical reasoner);
  5583 
  5584 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  5585 now support named cases; major packages (inductive, datatype, primrec,
  5586 recdef) support case names and properly name parameters;
  5587 
  5588 * Isar/HOL: new transitivity rules for substitution in inequalities --
  5589 monotonicity conditions are extracted to be proven at end of
  5590 calculations;
  5591 
  5592 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  5593 method anyway;
  5594 
  5595 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  5596 split_if split_if_asm; datatype package provides theorems foo.splits =
  5597 foo.split foo.split_asm for each datatype;
  5598 
  5599 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  5600 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  5601 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  5602 use "(cases (simplified))" method in proper proof texts);
  5603 
  5604 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  5605 
  5606 * Isar: names of theorems etc. may be natural numbers as well;
  5607 
  5608 * Isar: 'pr' command: optional arguments for goals_limit and
  5609 ProofContext.prems_limit; no longer prints theory contexts, but only
  5610 proof states;
  5611 
  5612 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  5613 additional print modes to be specified; e.g. "pr(latex)" will print
  5614 proof state according to the Isabelle LaTeX style;
  5615 
  5616 * Isar: improved support for emulating tactic scripts, including proof
  5617 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  5618 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  5619 (for HOL datatypes);
  5620 
  5621 * Isar: simplified (more robust) goal selection of proof methods: 1st
  5622 goal, all goals, or explicit goal specifier (tactic emulation); thus
  5623 'proof method scripts' have to be in depth-first order;
  5624 
  5625 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  5626 
  5627 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  5628 should instead use individual commands for printing items
  5629 (print_commands, print_methods etc.);
  5630 
  5631 * Isar: added 'nothing' --- the empty list of theorems;
  5632 
  5633 
  5634 *** HOL ***
  5635 
  5636 * HOL/MicroJava: formalization of a fragment of Java, together with a
  5637 corresponding virtual machine and a specification of its bytecode
  5638 verifier and a lightweight bytecode verifier, including proofs of
  5639 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  5640 Cornelia Pusch (see also the homepage of project Bali at
  5641 http://isabelle.in.tum.de/Bali/);
  5642 
  5643 * HOL/Algebra: new theory of rings and univariate polynomials, by
  5644 Clemens Ballarin;
  5645 
  5646 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  5647 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  5648 Rasmussen;
  5649 
  5650 * HOL/Lattice: fundamental concepts of lattice theory and order
  5651 structures, including duals, properties of bounds versus algebraic
  5652 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  5653 Theorem for complete lattices etc.; may also serve as a demonstration
  5654 for abstract algebraic reasoning using axiomatic type classes, and
  5655 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  5656 
  5657 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  5658 von Oheimb;
  5659 
  5660 * HOL/IMPP: extension of IMP with local variables and mutually
  5661 recursive procedures, by David von Oheimb;
  5662 
  5663 * HOL/Lambda: converted into new-style theory and document;
  5664 
  5665 * HOL/ex/Multiquote: example of multiple nested quotations and
  5666 anti-quotations -- basically a generalized version of de-Bruijn
  5667 representation; very useful in avoiding lifting of operations;
  5668 
  5669 * HOL/record: added general record equality rule to simpset; fixed
  5670 select-update simplification procedure to handle extended records as
  5671 well; admit "r" as field name;
  5672 
  5673 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  5674 other numeric types and also as the identity of groups, rings, etc.;
  5675 
  5676 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  5677 Types nat and int belong to this axclass;
  5678 
  5679 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  5680    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  5681    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  5682   two terms #m*u and #n*u are replaced by #(m+n)*u
  5683     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  5684   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  5685     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  5686 
  5687 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  5688 powerful prover for predicate logic but knows nothing of clasets; see
  5689 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  5690 
  5691 * HOL: new version of "case_tac" subsumes both boolean case split and
  5692 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  5693 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  5694 
  5695 * HOL: simplification no longer dives into case-expressions: only the
  5696 selector expression is simplified, but not the remaining arms; to
  5697 enable full simplification of case-expressions for datatype t, you may
  5698 remove t.weak_case_cong from the simpset, either globally (Delcongs
  5699 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  5700 
  5701 * HOL/recdef: the recursion equations generated by 'recdef' for
  5702 function 'f' are now called f.simps instead of f.rules; if all
  5703 termination conditions are proved automatically, these simplification
  5704 rules are added to the simpset, as in primrec; rules may be named
  5705 individually as well, resulting in a separate list of theorems for
  5706 each equation;
  5707 
  5708 * HOL/While is a new theory that provides a while-combinator. It
  5709 permits the definition of tail-recursive functions without the
  5710 provision of a termination measure. The latter is necessary once the
  5711 invariant proof rule for while is applied.
  5712 
  5713 * HOL: new (overloaded) notation for the set of elements below/above
  5714 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  5715 
  5716 * HOL: theorems impI, allI, ballI bound as "strip";
  5717 
  5718 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  5719 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  5720 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  5721 
  5722 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5723 
  5724 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  5725 main HOL, but was unused);
  5726 
  5727 * HOL: fewer consts declared as global (e.g. have to refer to
  5728 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  5729 
  5730 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  5731 in case of overlap with user translations (e.g. judgements over
  5732 tuples); (note that the underlying logical represenation is still
  5733 bogus);
  5734 
  5735 
  5736 *** ZF ***
  5737 
  5738 * ZF: simplification automatically cancels common terms in arithmetic
  5739 expressions over nat and int;
  5740 
  5741 * ZF: new treatment of nat to minimize type-checking: all operators
  5742 coerce their operands to a natural number using the function natify,
  5743 making the algebraic laws unconditional;
  5744 
  5745 * ZF: as above, for int: operators coerce their operands to an integer
  5746 using the function intify;
  5747 
  5748 * ZF: the integer library now contains many of the usual laws for the
  5749 orderings, including $<=, and monotonicity laws for $+ and $*;
  5750 
  5751 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  5752 simplification;
  5753 
  5754 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  5755 to the simplifier and classical reasoner simultaneously;
  5756 
  5757 
  5758 *** General ***
  5759 
  5760 * Provers: blast_tac now handles actual object-logic rules as
  5761 assumptions; note that auto_tac uses blast_tac internally as well;
  5762 
  5763 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  5764 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  5765 
  5766 * Provers: delrules now handles destruct rules as well (no longer need
  5767 explicit make_elim);
  5768 
  5769 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  5770   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5771 use instead the strong form,
  5772   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5773 in HOL, FOL and ZF the function cla_make_elim will create such rules
  5774 from destruct-rules;
  5775 
  5776 * Provers: Simplifier.easy_setup provides a fast path to basic
  5777 Simplifier setup for new object-logics;
  5778 
  5779 * Pure: AST translation rules no longer require constant head on LHS;
  5780 
  5781 * Pure: improved name spaces: ambiguous output is qualified; support
  5782 for hiding of names;
  5783 
  5784 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  5785 XSYMBOL_HOME; no longer need to do manual configuration in most
  5786 situations;
  5787 
  5788 * system: compression of ML heaps images may now be controlled via -c
  5789 option of isabelle and isatool usedir (currently only observed by
  5790 Poly/ML);
  5791 
  5792 * system: isatool installfonts may handle X-Symbol fonts as well (very
  5793 useful for remote X11);
  5794 
  5795 * system: provide TAGS file for Isabelle sources;
  5796 
  5797 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  5798 order;
  5799 
  5800 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  5801 timing flag supersedes proof_timing and Toplevel.trace;
  5802 
  5803 * ML: new combinators |>> and |>>> for incremental transformations
  5804 with secondary results (e.g. certain theory extensions):
  5805 
  5806 * ML: PureThy.add_defs gets additional argument to indicate potential
  5807 overloading (usually false);
  5808 
  5809 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  5810 results;
  5811 
  5812 
  5813 
  5814 New in Isabelle99 (October 1999)
  5815 --------------------------------
  5816 
  5817 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  5818 
  5819 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  5820 are no longer simplified.  (This allows the simplifier to unfold recursive
  5821 functional programs.)  To restore the old behaviour, declare
  5822 
  5823     Delcongs [if_weak_cong];
  5824 
  5825 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  5826 complement;
  5827 
  5828 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  5829 
  5830 * HOL/datatype: mutual_induct_tac no longer exists --
  5831   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  5832 
  5833 * HOL/typedef: fixed type inference for representing set; type
  5834 arguments now have to occur explicitly on the rhs as type constraints;
  5835 
  5836 * ZF: The con_defs part of an inductive definition may no longer refer
  5837 to constants declared in the same theory;
  5838 
  5839 * HOL, ZF: the function mk_cases, generated by the inductive
  5840 definition package, has lost an argument.  To simplify its result, it
  5841 uses the default simpset instead of a supplied list of theorems.
  5842 
  5843 * HOL/List: the constructors of type list are now Nil and Cons;
  5844 
  5845 * Simplifier: the type of the infix ML functions
  5846         setSSolver addSSolver setSolver addSolver
  5847 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  5848 for packaging solvers. A solver is created via
  5849         mk_solver: string -> (thm list -> int -> tactic) -> solver
  5850 where the string argument is only a comment.
  5851 
  5852 
  5853 *** Proof tools ***
  5854 
  5855 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  5856 decision procedure for linear arithmetic. Currently it is used for
  5857 types `nat', `int', and `real' in HOL (see below); it can, should and
  5858 will be instantiated for other types and logics as well.
  5859 
  5860 * The simplifier now accepts rewrite rules with flexible heads, eg
  5861      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  5862   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  5863   matching.
  5864 
  5865 
  5866 *** General ***
  5867 
  5868 * New Isabelle/Isar subsystem provides an alternative to traditional
  5869 tactical theorem proving; together with the ProofGeneral/isar user
  5870 interface it offers an interactive environment for developing human
  5871 readable proof documents (Isar == Intelligible semi-automated
  5872 reasoning); for further information see isatool doc isar-ref,
  5873 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  5874 
  5875 * improved and simplified presentation of theories: better HTML markup
  5876 (including colors), graph views in several sizes; isatool usedir now
  5877 provides a proper interface for user theories (via -P option); actual
  5878 document preparation based on (PDF)LaTeX is available as well (for
  5879 new-style theories only); see isatool doc system for more information;
  5880 
  5881 * native support for Proof General, both for classic Isabelle and
  5882 Isabelle/Isar;
  5883 
  5884 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  5885 using the graph browser tool;
  5886 
  5887 * Isabelle manuals now also available as PDF;
  5888 
  5889 * theory loader rewritten from scratch (may not be fully
  5890 bug-compatible); old loadpath variable has been replaced by show_path,
  5891 add_path, del_path, reset_path functions; new operations such as
  5892 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  5893 isatool doc ref);
  5894 
  5895 * improved isatool install: option -k creates KDE application icon,
  5896 option -p DIR installs standalone binaries;
  5897 
  5898 * added ML_PLATFORM setting (useful for cross-platform installations);
  5899 more robust handling of platform specific ML images for SML/NJ;
  5900 
  5901 * the settings environment is now statically scoped, i.e. it is never
  5902 created again in sub-processes invoked from isabelle, isatool, or
  5903 Isabelle;
  5904 
  5905 * path element specification '~~' refers to '$ISABELLE_HOME';
  5906 
  5907 * in locales, the "assumes" and "defines" parts may be omitted if
  5908 empty;
  5909 
  5910 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  5911 long arrows);
  5912 
  5913 * new print_mode "HTML";
  5914 
  5915 * new flag show_tags controls display of tags of theorems (which are
  5916 basically just comments that may be attached by some tools);
  5917 
  5918 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  5919 mode and goal output format:
  5920 
  5921 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  5922 244c244
  5923 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  5924 ---
  5925 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  5926 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  5927 181c181
  5928 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  5929 ---
  5930 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  5931 
  5932 * function bind_thms stores lists of theorems (cf. bind_thm);
  5933 
  5934 * new shorthand tactics ftac, eatac, datac, fatac;
  5935 
  5936 * qed (and friends) now accept "" as result name; in that case the
  5937 theorem is not stored, but proper checks and presentation of the
  5938 result still apply;
  5939 
  5940 * theorem database now also indexes constants "Trueprop", "all",
  5941 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  5942 
  5943 
  5944 *** HOL ***
  5945 
  5946 ** HOL arithmetic **
  5947 
  5948 * There are now decision procedures for linear arithmetic over nat and
  5949 int:
  5950 
  5951 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  5952 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  5953 are treated as atomic; subformulae not involving type `nat' or `int'
  5954 are ignored; quantified subformulae are ignored unless they are
  5955 positive universal or negative existential. The tactic has to be
  5956 invoked by hand and can be a little bit slow. In particular, the
  5957 running time is exponential in the number of occurrences of `min' and
  5958 `max', and `-' on `nat'.
  5959 
  5960 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  5961 (negated) (in)equalities among the premises and the conclusion into
  5962 account (i.e. no compound formulae) and does not know about `min' and
  5963 `max', and `-' on `nat'. It is fast and is used automatically by the
  5964 simplifier.
  5965 
  5966 NB: At the moment, these decision procedures do not cope with mixed
  5967 nat/int formulae where the two parts interact, such as `m < n ==>
  5968 int(m) < int(n)'.
  5969 
  5970 * HOL/Numeral provides a generic theory of numerals (encoded
  5971 efficiently as bit strings); setup for types nat/int/real is in place;
  5972 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  5973 int, existing theories and proof scripts may require a few additional
  5974 type constraints;
  5975 
  5976 * integer division and remainder can now be performed on constant
  5977 arguments;
  5978 
  5979 * many properties of integer multiplication, division and remainder
  5980 are now available;
  5981 
  5982 * An interface to the Stanford Validity Checker (SVC) is available through the
  5983 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  5984 are proved automatically.  SVC must be installed separately, and its results
  5985 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  5986 invocation of the underlying oracle).  For SVC see
  5987   http://verify.stanford.edu/SVC
  5988 
  5989 * IsaMakefile: the HOL-Real target now builds an actual image;
  5990 
  5991 
  5992 ** HOL misc **
  5993 
  5994 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  5995 (in Isabelle/Isar) -- by Gertrud Bauer;
  5996 
  5997 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  5998 analysis for assembly languages with subtypes;
  5999 
  6000 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  6001 -- avoids syntactic ambiguities and treats state, transition, and
  6002 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  6003 changed syntax and (many) tactics;
  6004 
  6005 * HOL/inductive: Now also handles more general introduction rules such
  6006   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6007   theorems are now maintained within the theory (maintained via the
  6008   "mono" attribute);
  6009 
  6010 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6011   (using function types) such as
  6012 
  6013   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6014 
  6015 * HOL/record: record_simproc (part of the default simpset) takes care
  6016 of selectors applied to updated records; record_split_tac is no longer
  6017 part of the default claset; update_defs may now be removed from the
  6018 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6019 
  6020   claset_ref () := claset() addSWrapper record_split_wrapper;
  6021   Delsimprocs [record_simproc]
  6022 
  6023 * HOL/typedef: fixed type inference for representing set; type
  6024 arguments now have to occur explicitly on the rhs as type constraints;
  6025 
  6026 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6027 names rather than an ML expression;
  6028 
  6029 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6030 supplied later.  Program schemes can be defined, such as
  6031     "While B C s = (if B s then While B C (C s) else s)"
  6032 where the well-founded relation can be chosen after B and C have been given.
  6033 
  6034 * HOL/List: the constructors of type list are now Nil and Cons;
  6035 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6036 course, ML tools referring to List.list.op # etc. have to be adapted;
  6037 
  6038 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6039 disabled by default; run isabelle with option -m HOL to get back to
  6040 the original Gordon/HOL-style output;
  6041 
  6042 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6043 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6044 
  6045 * HOL basic syntax simplified (more orthogonal): all variants of
  6046 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6047 Eps operator is provided as well: "SOME x. P[x]";
  6048 
  6049 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6050 
  6051 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  6052 thus available for user theories;
  6053 
  6054 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  6055 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  6056 time;
  6057 
  6058 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  6059 several times and then mp;
  6060 
  6061 
  6062 *** LK ***
  6063 
  6064 * the notation <<...>> is now available as a notation for sequences of
  6065 formulas;
  6066 
  6067 * the simplifier is now installed
  6068 
  6069 * the axiom system has been generalized (thanks to Soren Heilmann)
  6070 
  6071 * the classical reasoner now has a default rule database
  6072 
  6073 
  6074 *** ZF ***
  6075 
  6076 * new primrec section allows primitive recursive functions to be given
  6077 directly (as in HOL) over datatypes and the natural numbers;
  6078 
  6079 * new tactics induct_tac and exhaust_tac for induction (or case
  6080 analysis) over datatypes and the natural numbers;
  6081 
  6082 * the datatype declaration of type T now defines the recursor T_rec;
  6083 
  6084 * simplification automatically does freeness reasoning for datatype
  6085 constructors;
  6086 
  6087 * automatic type-inference, with AddTCs command to insert new
  6088 type-checking rules;
  6089 
  6090 * datatype introduction rules are now added as Safe Introduction rules
  6091 to the claset;
  6092 
  6093 * the syntax "if P then x else y" is now available in addition to
  6094 if(P,x,y);
  6095 
  6096 
  6097 *** Internal programming interfaces ***
  6098 
  6099 * tuned simplifier trace output; new flag debug_simp;
  6100 
  6101 * structures Vartab / Termtab (instances of TableFun) offer efficient
  6102 tables indexed by indexname_ord / term_ord (compatible with aconv);
  6103 
  6104 * AxClass.axclass_tac lost the theory argument;
  6105 
  6106 * tuned current_goals_markers semantics: begin / end goal avoids
  6107 printing empty lines;
  6108 
  6109 * removed prs and prs_fn hook, which was broken because it did not
  6110 include \n in its semantics, forcing writeln to add one
  6111 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  6112 string -> unit if you really want to output text without newline;
  6113 
  6114 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  6115 plain output, interface builders may have to enable 'isabelle_font'
  6116 mode to get Isabelle font glyphs as before;
  6117 
  6118 * refined token_translation interface; INCOMPATIBILITY: output length
  6119 now of type real instead of int;
  6120 
  6121 * theory loader actions may be traced via new ThyInfo.add_hook
  6122 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  6123 your own database of information attached to *whole* theories -- as
  6124 opposed to intra-theory data slots offered via TheoryDataFun;
  6125 
  6126 * proper handling of dangling sort hypotheses (at last!);
  6127 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  6128 extra sort hypotheses that can be witnessed from the type signature;
  6129 the force_strip_shyps flag is gone, any remaining shyps are simply
  6130 left in the theorem (with a warning issued by strip_shyps_warning);
  6131 
  6132 
  6133 
  6134 New in Isabelle98-1 (October 1998)
  6135 ----------------------------------
  6136 
  6137 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6138 
  6139 * several changes of automated proof tools;
  6140 
  6141 * HOL: major changes to the inductive and datatype packages, including
  6142 some minor incompatibilities of theory syntax;
  6143 
  6144 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  6145 called `inj_on';
  6146 
  6147 * HOL: removed duplicate thms in Arith:
  6148   less_imp_add_less  should be replaced by  trans_less_add1
  6149   le_imp_add_le      should be replaced by  trans_le_add1
  6150 
  6151 * HOL: unary minus is now overloaded (new type constraints may be
  6152 required);
  6153 
  6154 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  6155 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  6156 now taken as an integer constant.
  6157 
  6158 * Pure: ML function 'theory_of' renamed to 'theory';
  6159 
  6160 
  6161 *** Proof tools ***
  6162 
  6163 * Simplifier:
  6164   1. Asm_full_simp_tac is now more aggressive.
  6165      1. It will sometimes reorient premises if that increases their power to
  6166         simplify.
  6167      2. It does no longer proceed strictly from left to right but may also
  6168         rotate premises to achieve further simplification.
  6169      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  6170      old Asm_full_simp_tac in that it does not rotate premises.
  6171   2. The simplifier now knows a little bit about nat-arithmetic.
  6172 
  6173 * Classical reasoner: wrapper mechanism for the classical reasoner now
  6174 allows for selected deletion of wrappers, by introduction of names for
  6175 wrapper functionals.  This implies that addbefore, addSbefore,
  6176 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  6177 and that adding two tactics with the same name overwrites the first
  6178 one (emitting a warning).
  6179   type wrapper = (int -> tactic) -> (int -> tactic)
  6180   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  6181   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  6182   delWrapper, delSWrapper: claset *  string            -> claset
  6183   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  6184 
  6185 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  6186 semantics; addbefore now affects only the unsafe part of step_tac
  6187 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  6188 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  6189 by Force_tac;
  6190 
  6191 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  6192 compWrapper; added safe wrapper (and access functions for it);
  6193 
  6194 * HOL/split_all_tac is now much faster and fails if there is nothing
  6195 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  6196 and the names of the automatically generated variables have changed.
  6197 split_all_tac has moved within claset() from unsafe wrappers to safe
  6198 wrappers, which means that !!-bound variables are split much more
  6199 aggressively, and safe_tac and clarify_tac now split such variables.
  6200 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  6201 Note: the same holds for record_split_tac, which does the job of
  6202 split_all_tac for record fields.
  6203 
  6204 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  6205 permanently to the default simpset using Addsplits just like
  6206 Addsimps. They can be removed via Delsplits just like
  6207 Delsimps. Lower-case versions are also available.
  6208 
  6209 * HOL/Simplifier: The rule split_if is now part of the default
  6210 simpset. This means that the simplifier will eliminate all occurrences
  6211 of if-then-else in the conclusion of a goal. To prevent this, you can
  6212 either remove split_if completely from the default simpset by
  6213 `Delsplits [split_if]' or remove it in a specific call of the
  6214 simplifier using `... delsplits [split_if]'.  You can also add/delete
  6215 other case splitting rules to/from the default simpset: every datatype
  6216 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  6217 t is the name of the datatype).
  6218 
  6219 * Classical reasoner / Simplifier combination: new force_tac (and
  6220 derivatives Force_tac, force) combines rewriting and classical
  6221 reasoning (and whatever other tools) similarly to auto_tac, but is
  6222 aimed to solve the given subgoal completely.
  6223 
  6224 
  6225 *** General ***
  6226 
  6227 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  6228 and `goalw': the theory is no longer needed as an explicit argument -
  6229 the current theory context is used; assumptions are no longer returned
  6230 at the ML-level unless one of them starts with ==> or !!; it is
  6231 recommended to convert to these new commands using isatool fixgoal
  6232 (backup your sources first!);
  6233 
  6234 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  6235 the current theory context, and 'theory' to lookup stored theories;
  6236 
  6237 * new theory section 'locale' for declaring constants, assumptions and
  6238 definitions that have local scope;
  6239 
  6240 * new theory section 'nonterminals' for purely syntactic types;
  6241 
  6242 * new theory section 'setup' for generic ML setup functions
  6243 (e.g. package initialization);
  6244 
  6245 * the distribution now includes Isabelle icons: see
  6246 lib/logo/isabelle-{small,tiny}.xpm;
  6247 
  6248 * isatool install - install binaries with absolute references to
  6249 ISABELLE_HOME/bin;
  6250 
  6251 * isatool logo -- create instances of the Isabelle logo (as EPS);
  6252 
  6253 * print mode 'emacs' reserved for Isamode;
  6254 
  6255 * support multiple print (ast) translations per constant name;
  6256 
  6257 * theorems involving oracles are now printed with a suffixed [!];
  6258 
  6259 
  6260 *** HOL ***
  6261 
  6262 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  6263 
  6264 * HOL/inductive package reorganized and improved: now supports mutual
  6265 definitions such as
  6266 
  6267   inductive EVEN ODD
  6268     intrs
  6269       null "0 : EVEN"
  6270       oddI "n : EVEN ==> Suc n : ODD"
  6271       evenI "n : ODD ==> Suc n : EVEN"
  6272 
  6273 new theorem list "elims" contains an elimination rule for each of the
  6274 recursive sets; inductive definitions now handle disjunctive premises
  6275 correctly (also ZF);
  6276 
  6277 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  6278 "mutual_induct" no longer exists - the induction rule is always
  6279 contained in "induct";
  6280 
  6281 
  6282 * HOL/datatype package re-implemented and greatly improved: now
  6283 supports mutually recursive datatypes such as
  6284 
  6285   datatype
  6286     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  6287             | SUM ('a aexp) ('a aexp)
  6288             | DIFF ('a aexp) ('a aexp)
  6289             | NUM 'a
  6290   and
  6291     'a bexp = LESS ('a aexp) ('a aexp)
  6292             | AND ('a bexp) ('a bexp)
  6293             | OR ('a bexp) ('a bexp)
  6294 
  6295 as well as indirectly recursive datatypes such as
  6296 
  6297   datatype
  6298     ('a, 'b) term = Var 'a
  6299                   | App 'b ((('a, 'b) term) list)
  6300 
  6301 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  6302 induction on mutually / indirectly recursive datatypes.
  6303 
  6304 Primrec equations are now stored in theory and can be accessed via
  6305 <function_name>.simps.
  6306 
  6307 INCOMPATIBILITIES:
  6308 
  6309   - Theories using datatypes must now have theory Datatype as an
  6310     ancestor.
  6311   - The specific <typename>.induct_tac no longer exists - use the
  6312     generic induct_tac instead.
  6313   - natE has been renamed to nat.exhaust - use exhaust_tac
  6314     instead of res_inst_tac ... natE. Note that the variable
  6315     names in nat.exhaust differ from the names in natE, this
  6316     may cause some "fragile" proofs to fail.
  6317   - The theorems split_<typename>_case and split_<typename>_case_asm
  6318     have been renamed to <typename>.split and <typename>.split_asm.
  6319   - Since default sorts of type variables are now handled correctly,
  6320     some datatype definitions may have to be annotated with explicit
  6321     sort constraints.
  6322   - Primrec definitions no longer require function name and type
  6323     of recursive argument.
  6324 
  6325 Consider using isatool fixdatatype to adapt your theories and proof
  6326 scripts to the new package (backup your sources first!).
  6327 
  6328 
  6329 * HOL/record package: considerably improved implementation; now
  6330 includes concrete syntax for record types, terms, updates; theorems
  6331 for surjective pairing and splitting !!-bound record variables; proof
  6332 support is as follows:
  6333 
  6334   1) standard conversions (selectors or updates applied to record
  6335 constructor terms) are part of the standard simpset;
  6336 
  6337   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  6338 made part of standard simpset and claset via addIffs;
  6339 
  6340   3) a tactic for record field splitting (record_split_tac) is part of
  6341 the standard claset (addSWrapper);
  6342 
  6343 To get a better idea about these rules you may retrieve them via
  6344 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  6345 the name of your record type.
  6346 
  6347 The split tactic 3) conceptually simplifies by the following rule:
  6348 
  6349   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  6350 
  6351 Thus any record variable that is bound by meta-all will automatically
  6352 blow up into some record constructor term, consequently the
  6353 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  6354 solve record problems automatically.
  6355 
  6356 
  6357 * reorganized the main HOL image: HOL/Integ and String loaded by
  6358 default; theory Main includes everything;
  6359 
  6360 * automatic simplification of integer sums and comparisons, using cancellation;
  6361 
  6362 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  6363 
  6364 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  6365 
  6366 * many new identities for unions, intersections, set difference, etc.;
  6367 
  6368 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  6369 called split_if, split_split, split_sum_case and split_nat_case (to go
  6370 with add/delsplits);
  6371 
  6372 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  6373 (?x::unit) = (); this is made part of the default simpset, which COULD
  6374 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  6375 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  6376 unit_abs_eta_conv is added in order to counter the effect of
  6377 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  6378 %u.f();
  6379 
  6380 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  6381 makes more sense);
  6382 
  6383 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6384   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6385   disjointness reasoning but breaking a few old proofs.
  6386 
  6387 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  6388 to 'converse' from 'inverse' (for compatibility with ZF and some
  6389 literature);
  6390 
  6391 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  6392 the well-founded relation;
  6393 
  6394 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  6395     Compl A.  The "Compl" syntax remains available as input syntax for this
  6396     release ONLY.
  6397 
  6398 * HOL/Update: new theory of function updates:
  6399     f(a:=b) == %x. if x=a then b else f x
  6400 may also be iterated as in f(a:=b,c:=d,...);
  6401 
  6402 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  6403 
  6404 * HOL/List:
  6405   - new function list_update written xs[i:=v] that updates the i-th
  6406     list position. May also be iterated as in xs[i:=a,j:=b,...].
  6407   - new function `upt' written [i..j(] which generates the list
  6408     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  6409     bound write [i..j], which is a shorthand for [i..j+1(].
  6410   - new lexicographic orderings and corresponding wellfoundedness theorems.
  6411 
  6412 * HOL/Arith:
  6413   - removed 'pred' (predecessor) function;
  6414   - generalized some theorems about n-1;
  6415   - many new laws about "div" and "mod";
  6416   - new laws about greatest common divisors (see theory ex/Primes);
  6417 
  6418 * HOL/Relation: renamed the relational operator r^-1 "converse"
  6419 instead of "inverse";
  6420 
  6421 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  6422   of the multiset ordering;
  6423 
  6424 * directory HOL/Real: a construction of the reals using Dedekind cuts
  6425   (not included by default);
  6426 
  6427 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  6428 
  6429 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  6430   programs, i.e. different program variables may have different types.
  6431 
  6432 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6433   [previously, this check worked only if the rewrite rule was unconditional]
  6434   Now rew can involve either definitions or equalities (either == or =).
  6435 
  6436 
  6437 *** ZF ***
  6438 
  6439 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  6440   only the theorems proved on ZF.ML;
  6441 
  6442 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6443   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6444   disjointness reasoning but breaking a few old proofs.
  6445 
  6446 * ZF/Update: new theory of function updates
  6447     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  6448   may also be iterated as in f(a:=b,c:=d,...);
  6449 
  6450 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  6451 
  6452 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6453   [previously, this check worked only if the rewrite rule was unconditional]
  6454   Now rew can involve either definitions or equalities (either == or =).
  6455 
  6456 * case_tac provided for compatibility with HOL
  6457     (like the old excluded_middle_tac, but with subgoals swapped)
  6458 
  6459 
  6460 *** Internal programming interfaces ***
  6461 
  6462 * Pure: several new basic modules made available for general use, see
  6463 also src/Pure/README;
  6464 
  6465 * improved the theory data mechanism to support encapsulation (data
  6466 kind name replaced by private Object.kind, acting as authorization
  6467 key); new type-safe user interface via functor TheoryDataFun; generic
  6468 print_data function becomes basically useless;
  6469 
  6470 * removed global_names compatibility flag -- all theory declarations
  6471 are qualified by default;
  6472 
  6473 * module Pure/Syntax now offers quote / antiquote translation
  6474 functions (useful for Hoare logic etc. with implicit dependencies);
  6475 see HOL/ex/Antiquote for an example use;
  6476 
  6477 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  6478 cterm -> thm;
  6479 
  6480 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  6481 subgoal;
  6482 
  6483 * Display.print_goals function moved to Locale.print_goals;
  6484 
  6485 * standard print function for goals supports current_goals_markers
  6486 variable for marking begin of proof, end of proof, start of goal; the
  6487 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  6488 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  6489 for example;
  6490 
  6491 
  6492 
  6493 New in Isabelle98 (January 1998)
  6494 --------------------------------
  6495 
  6496 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6497 
  6498 * changed lexical syntax of terms / types: dots made part of long
  6499 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  6500 
  6501 * simpset (and claset) reference variable replaced by functions
  6502 simpset / simpset_ref;
  6503 
  6504 * no longer supports theory aliases (via merge) and non-trivial
  6505 implicit merge of thms' signatures;
  6506 
  6507 * most internal names of constants changed due to qualified names;
  6508 
  6509 * changed Pure/Sequence interface (see Pure/seq.ML);
  6510 
  6511 
  6512 *** General Changes ***
  6513 
  6514 * hierachically structured name spaces (for consts, types, axms, thms
  6515 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  6516 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  6517 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  6518 long_names for fully qualified output names; NOTE: ML programs
  6519 (special tactics, packages etc.) referring to internal names may have
  6520 to be adapted to cope with fully qualified names; in case of severe
  6521 backward campatibility problems try setting 'global_names' at compile
  6522 time to have enrything declared within a flat name space; one may also
  6523 fine tune name declarations in theories via the 'global' and 'local'
  6524 section;
  6525 
  6526 * reimplemented the implicit simpset and claset using the new anytype
  6527 data filed in signatures; references simpset:simpset ref etc. are
  6528 replaced by functions simpset:unit->simpset and
  6529 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  6530 to patch your ML files accordingly;
  6531 
  6532 * HTML output now includes theory graph data for display with Java
  6533 applet or isatool browser; data generated automatically via isatool
  6534 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  6535 
  6536 * defs may now be conditional; improved rewrite_goals_tac to handle
  6537 conditional equations;
  6538 
  6539 * defs now admits additional type arguments, using TYPE('a) syntax;
  6540 
  6541 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  6542 creates a new theory node; implicit merge of thms' signatures is
  6543 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  6544 transfer:theory->thm->thm in (rare) cases;
  6545 
  6546 * improved handling of draft signatures / theories; draft thms (and
  6547 ctyps, cterms) are automatically promoted to real ones;
  6548 
  6549 * slightly changed interfaces for oracles: admit many per theory, named
  6550 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  6551 
  6552 * print_goals: optional output of const types (set show_consts and
  6553 show_types);
  6554 
  6555 * improved output of warnings (###) and errors (***);
  6556 
  6557 * subgoal_tac displays a warning if the new subgoal has type variables;
  6558 
  6559 * removed old README and Makefiles;
  6560 
  6561 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  6562 
  6563 * removed obsolete init_pps and init_database;
  6564 
  6565 * deleted the obsolete tactical STATE, which was declared by
  6566     fun STATE tacfun st = tacfun st st;
  6567 
  6568 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  6569 (which abbreviates $HOME);
  6570 
  6571 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  6572 use isatool fixseq to adapt your ML programs (this works for fully
  6573 qualified references to the Sequence structure only!);
  6574 
  6575 * use_thy no longer requires writable current directory; it always
  6576 reloads .ML *and* .thy file, if either one is out of date;
  6577 
  6578 
  6579 *** Classical Reasoner ***
  6580 
  6581 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  6582 tactics that use classical reasoning to simplify a subgoal without
  6583 splitting it into several subgoals;
  6584 
  6585 * Safe_tac: like safe_tac but uses the default claset;
  6586 
  6587 
  6588 *** Simplifier ***
  6589 
  6590 * added simplification meta rules:
  6591     (asm_)(full_)simplify: simpset -> thm -> thm;
  6592 
  6593 * simplifier.ML no longer part of Pure -- has to be loaded by object
  6594 logics (again);
  6595 
  6596 * added prems argument to simplification procedures;
  6597 
  6598 * HOL, FOL, ZF: added infix function `addsplits':
  6599   instead of `<simpset> setloop (split_tac <thms>)'
  6600   you can simply write `<simpset> addsplits <thms>'
  6601 
  6602 
  6603 *** Syntax ***
  6604 
  6605 * TYPE('a) syntax for type reflection terms;
  6606 
  6607 * no longer handles consts with name "" -- declare as 'syntax' instead;
  6608 
  6609 * pretty printer: changed order of mixfix annotation preference (again!);
  6610 
  6611 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  6612 
  6613 
  6614 *** HOL ***
  6615 
  6616 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6617   with `addloop' of the simplifier to faciliate case splitting in premises.
  6618 
  6619 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  6620 
  6621 * HOL/Auth: new protocol proofs including some for the Internet
  6622   protocol TLS;
  6623 
  6624 * HOL/Map: new theory of `maps' a la VDM;
  6625 
  6626 * HOL/simplifier: simplification procedures nat_cancel_sums for
  6627 cancelling out common nat summands from =, <, <= (in)equalities, or
  6628 differences; simplification procedures nat_cancel_factor for
  6629 cancelling common factor from =, <, <= (in)equalities over natural
  6630 sums; nat_cancel contains both kinds of procedures, it is installed by
  6631 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  6632 
  6633 * HOL/simplifier: terms of the form
  6634   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  6635   are rewritten to
  6636   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  6637   and those of the form
  6638   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  6639   are rewritten to
  6640   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  6641 
  6642 * HOL/datatype
  6643   Each datatype `t' now comes with a theorem `split_t_case' of the form
  6644 
  6645   P(t_case f1 ... fn x) =
  6646      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  6647         ...
  6648        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  6649      )
  6650 
  6651   and a theorem `split_t_case_asm' of the form
  6652 
  6653   P(t_case f1 ... fn x) =
  6654     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  6655         ...
  6656        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  6657      )
  6658   which can be added to a simpset via `addsplits'. The existing theorems
  6659   expand_list_case and expand_option_case have been renamed to
  6660   split_list_case and split_option_case.
  6661 
  6662 * HOL/Arithmetic:
  6663   - `pred n' is automatically converted to `n-1'.
  6664     Users are strongly encouraged not to use `pred' any longer,
  6665     because it will disappear altogether at some point.
  6666   - Users are strongly encouraged to write "0 < n" rather than
  6667     "n ~= 0". Theorems and proof tools have been modified towards this
  6668     `standard'.
  6669 
  6670 * HOL/Lists:
  6671   the function "set_of_list" has been renamed "set" (and its theorems too);
  6672   the function "nth" now takes its arguments in the reverse order and
  6673   has acquired the infix notation "!" as in "xs!n".
  6674 
  6675 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  6676 
  6677 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  6678   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  6679 
  6680 * HOL/record: extensible records with schematic structural subtyping
  6681 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  6682 still lacks various theorems and concrete record syntax;
  6683 
  6684 
  6685 *** HOLCF ***
  6686 
  6687 * removed "axioms" and "generated by" sections;
  6688 
  6689 * replaced "ops" section by extended "consts" section, which is capable of
  6690   handling the continuous function space "->" directly;
  6691 
  6692 * domain package:
  6693   . proves theorems immediately and stores them in the theory,
  6694   . creates hierachical name space,
  6695   . now uses normal mixfix annotations (instead of cinfix...),
  6696   . minor changes to some names and values (for consistency),
  6697   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  6698   . separator between mutual domain defs: changed "," to "and",
  6699   . improved handling of sort constraints;  now they have to
  6700     appear on the left-hand side of the equations only;
  6701 
  6702 * fixed LAM <x,y,zs>.b syntax;
  6703 
  6704 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  6705 adm (%x. P (t x)), where P is chainfinite and t continuous;
  6706 
  6707 
  6708 *** FOL and ZF ***
  6709 
  6710 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6711   with `addloop' of the simplifier to faciliate case splitting in premises.
  6712 
  6713 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  6714 in HOL, they strip ALL and --> from proved theorems;
  6715 
  6716 
  6717 
  6718 New in Isabelle94-8 (May 1997)
  6719 ------------------------------
  6720 
  6721 *** General Changes ***
  6722 
  6723 * new utilities to build / run / maintain Isabelle etc. (in parts
  6724 still somewhat experimental); old Makefiles etc. still functional;
  6725 
  6726 * new 'Isabelle System Manual';
  6727 
  6728 * INSTALL text, together with ./configure and ./build scripts;
  6729 
  6730 * reimplemented type inference for greater efficiency, better error
  6731 messages and clean internal interface;
  6732 
  6733 * prlim command for dealing with lots of subgoals (an easier way of
  6734 setting goals_limit);
  6735 
  6736 
  6737 *** Syntax ***
  6738 
  6739 * supports alternative (named) syntax tables (parser and pretty
  6740 printer); internal interface is provided by add_modesyntax(_i);
  6741 
  6742 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  6743 be used in conjunction with the Isabelle symbol font; uses the
  6744 "symbols" syntax table;
  6745 
  6746 * added token_translation interface (may translate name tokens in
  6747 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  6748 the current print_mode); IMPORTANT: user print translation functions
  6749 are responsible for marking newly introduced bounds
  6750 (Syntax.mark_boundT);
  6751 
  6752 * token translations for modes "xterm" and "xterm_color" that display
  6753 names in bold, underline etc. or colors (which requires a color
  6754 version of xterm);
  6755 
  6756 * infixes may now be declared with names independent of their syntax;
  6757 
  6758 * added typed_print_translation (like print_translation, but may
  6759 access type of constant);
  6760 
  6761 
  6762 *** Classical Reasoner ***
  6763 
  6764 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  6765 some limitations.  Blast_tac...
  6766   + ignores addss, addbefore, addafter; this restriction is intrinsic
  6767   + ignores elimination rules that don't have the correct format
  6768         (the conclusion MUST be a formula variable)
  6769   + ignores types, which can make HOL proofs fail
  6770   + rules must not require higher-order unification, e.g. apply_type in ZF
  6771     [message "Function Var's argument not a bound variable" relates to this]
  6772   + its proof strategy is more general but can actually be slower
  6773 
  6774 * substitution with equality assumptions no longer permutes other
  6775 assumptions;
  6776 
  6777 * minor changes in semantics of addafter (now called addaltern); renamed
  6778 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  6779 (and access functions for it);
  6780 
  6781 * improved combination of classical reasoner and simplifier:
  6782   + functions for handling clasimpsets
  6783   + improvement of addss: now the simplifier is called _after_ the
  6784     safe steps.
  6785   + safe variant of addss called addSss: uses safe simplifications
  6786     _during_ the safe steps. It is more complete as it allows multiple
  6787     instantiations of unknowns (e.g. with slow_tac).
  6788 
  6789 *** Simplifier ***
  6790 
  6791 * added interface for simplification procedures (functions that
  6792 produce *proven* rewrite rules on the fly, depending on current
  6793 redex);
  6794 
  6795 * ordering on terms as parameter (used for ordered rewriting);
  6796 
  6797 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  6798 
  6799 * the solver is now split into a safe and an unsafe part.
  6800 This should be invisible for the normal user, except that the
  6801 functions setsolver and addsolver have been renamed to setSolver and
  6802 addSolver; added safe_asm_full_simp_tac;
  6803 
  6804 
  6805 *** HOL ***
  6806 
  6807 * a generic induction tactic `induct_tac' which works for all datatypes and
  6808 also for type `nat';
  6809 
  6810 * a generic case distinction tactic `exhaust_tac' which works for all
  6811 datatypes and also for type `nat';
  6812 
  6813 * each datatype comes with a function `size';
  6814 
  6815 * patterns in case expressions allow tuple patterns as arguments to
  6816 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  6817 
  6818 * primrec now also works with type nat;
  6819 
  6820 * recdef: a new declaration form, allows general recursive functions to be
  6821 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  6822 
  6823 * the constant for negation has been renamed from "not" to "Not" to
  6824 harmonize with FOL, ZF, LK, etc.;
  6825 
  6826 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  6827 infinite lists;
  6828 
  6829 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  6830 
  6831 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  6832 problems in commutative rings, using axiomatic type classes for + and *;
  6833 
  6834 * more examples in HOL/MiniML and HOL/Auth;
  6835 
  6836 * more default rewrite rules for quantifiers, union/intersection;
  6837 
  6838 * a new constant `arbitrary == @x.False';
  6839 
  6840 * HOLCF/IOA replaces old HOL/IOA;
  6841 
  6842 * HOLCF changes: derived all rules and arities
  6843   + axiomatic type classes instead of classes
  6844   + typedef instead of faking type definitions
  6845   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  6846   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  6847   + eliminated the types void, one, tr
  6848   + use unit lift and bool lift (with translations) instead of one and tr
  6849   + eliminated blift from Lift3.thy (use Def instead of blift)
  6850   all eliminated rules are derived as theorems --> no visible changes ;
  6851 
  6852 
  6853 *** ZF ***
  6854 
  6855 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  6856 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  6857 as ZF_cs addSIs [equalityI];
  6858 
  6859 
  6860 
  6861 New in Isabelle94-7 (November 96)
  6862 ---------------------------------
  6863 
  6864 * allowing negative levels (as offsets) in prlev and choplev;
  6865 
  6866 * super-linear speedup for large simplifications;
  6867 
  6868 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  6869 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  6870 FAIL); can suppress it using the command Delsimps (ex_simps @
  6871 all_simps); De Morgan laws are also now included, by default;
  6872 
  6873 * improved printing of ==>  :  ~:
  6874 
  6875 * new object-logic "Sequents" adds linear logic, while replacing LK
  6876 and Modal (thanks to Sara Kalvala);
  6877 
  6878 * HOL/Auth: correctness proofs for authentication protocols;
  6879 
  6880 * HOL: new auto_tac combines rewriting and classical reasoning (many
  6881 examples on HOL/Auth);
  6882 
  6883 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  6884 the rewriter and classical reasoner simultaneously;
  6885 
  6886 * function uresult no longer returns theorems in "standard" format;
  6887 regain previous version by: val uresult = standard o uresult;
  6888 
  6889 
  6890 
  6891 New in Isabelle94-6
  6892 -------------------
  6893 
  6894 * oracles -- these establish an interface between Isabelle and trusted
  6895 external reasoners, which may deliver results as theorems;
  6896 
  6897 * proof objects (in particular record all uses of oracles);
  6898 
  6899 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  6900 
  6901 * "constdefs" section in theory files;
  6902 
  6903 * "primrec" section (HOL) no longer requires names;
  6904 
  6905 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  6906 
  6907 
  6908 
  6909 New in Isabelle94-5
  6910 -------------------
  6911 
  6912 * reduced space requirements;
  6913 
  6914 * automatic HTML generation from theories;
  6915 
  6916 * theory files no longer require "..." (quotes) around most types;
  6917 
  6918 * new examples, including two proofs of the Church-Rosser theorem;
  6919 
  6920 * non-curried (1994) version of HOL is no longer distributed;
  6921 
  6922 
  6923 
  6924 New in Isabelle94-4
  6925 -------------------
  6926 
  6927 * greatly reduced space requirements;
  6928 
  6929 * theory files (.thy) no longer require \...\ escapes at line breaks;
  6930 
  6931 * searchable theorem database (see the section "Retrieving theorems" on
  6932 page 8 of the Reference Manual);
  6933 
  6934 * new examples, including Grabczewski's monumental case study of the
  6935 Axiom of Choice;
  6936 
  6937 * The previous version of HOL renamed to Old_HOL;
  6938 
  6939 * The new version of HOL (previously called CHOL) uses a curried syntax
  6940 for functions.  Application looks like f a b instead of f(a,b);
  6941 
  6942 * Mutually recursive inductive definitions finally work in HOL;
  6943 
  6944 * In ZF, pattern-matching on tuples is now available in all abstractions and
  6945 translates to the operator "split";
  6946 
  6947 
  6948 
  6949 New in Isabelle94-3
  6950 -------------------
  6951 
  6952 * new infix operator, addss, allowing the classical reasoner to
  6953 perform simplification at each step of its search.  Example:
  6954         fast_tac (cs addss ss)
  6955 
  6956 * a new logic, CHOL, the same as HOL, but with a curried syntax
  6957 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  6958 look like (a,b) instead of <a,b>;
  6959 
  6960 * PLEASE NOTE: CHOL will eventually replace HOL!
  6961 
  6962 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  6963 It translates to the operator "split".  A new theory of integers is available;
  6964 
  6965 * In ZF, integer numerals now denote two's-complement binary integers.
  6966 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  6967 
  6968 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  6969 of the Axiom of Choice;
  6970 
  6971 
  6972 
  6973 New in Isabelle94-2
  6974 -------------------
  6975 
  6976 * Significantly faster resolution;
  6977 
  6978 * the different sections in a .thy file can now be mixed and repeated
  6979 freely;
  6980 
  6981 * Database of theorems for FOL, HOL and ZF.  New
  6982 commands including qed, qed_goal and bind_thm store theorems in the database.
  6983 
  6984 * Simple database queries: return a named theorem (get_thm) or all theorems of
  6985 a given theory (thms_of), or find out what theory a theorem was proved in
  6986 (theory_of_thm);
  6987 
  6988 * Bugs fixed in the inductive definition and datatype packages;
  6989 
  6990 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  6991 and HOL_dup_cs obsolete;
  6992 
  6993 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  6994 have been removed;
  6995 
  6996 * Simpler definition of function space in ZF;
  6997 
  6998 * new results about cardinal and ordinal arithmetic in ZF;
  6999 
  7000 * 'subtype' facility in HOL for introducing new types as subsets of existing
  7001 types;
  7002 
  7003 :mode=text:wrap=hard:maxLineLen=72: