NEWS
author wenzelm
Mon, 07 Jun 2010 21:48:24 +0200
changeset 37466 82b8343cd998
parent 37462 250f487b3034
child 37473 02592ec68afb
permissions -rw-r--r--
Added tag isa2009-2-test2 for changeset dfca6c4cd1e8
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in Isabelle2009-2 (June 2010)
     5 ---------------------------------
     6 
     7 *** General ***
     8 
     9 * Authentic syntax for *all* logical entities (type classes, type
    10 constructors, term constants): provides simple and robust
    11 correspondence between formal entities and concrete syntax.  Within
    12 the parse tree / AST representations, "constants" are decorated by
    13 their category (class, type, const) and spelled out explicitly with
    14 their full internal name.
    15 
    16 Substantial INCOMPATIBILITY concerning low-level syntax declarations
    17 and translations (translation rules and translation functions in ML).
    18 Some hints on upgrading:
    19 
    20   - Many existing uses of 'syntax' and 'translations' can be replaced
    21     by more modern 'type_notation', 'notation' and 'abbreviation',
    22     which are independent of this issue.
    23 
    24   - 'translations' require markup within the AST; the term syntax
    25     provides the following special forms:
    26 
    27       CONST c   -- produces syntax version of constant c from context
    28       XCONST c  -- literally c, checked as constant from context
    29       c         -- literally c, if declared by 'syntax'
    30 
    31     Plain identifiers are treated as AST variables -- occasionally the
    32     system indicates accidental variables via the error "rhs contains
    33     extra variables".
    34 
    35     Type classes and type constructors are marked according to their
    36     concrete syntax.  Some old translations rules need to be written
    37     for the "type" category, using type constructor application
    38     instead of pseudo-term application of the default category
    39     "logic".
    40 
    41   - 'parse_translation' etc. in ML may use the following
    42     antiquotations:
    43 
    44       @{class_syntax c}   -- type class c within parse tree / AST
    45       @{term_syntax c}    -- type constructor c within parse tree / AST
    46       @{const_syntax c}   -- ML version of "CONST c" above
    47       @{syntax_const c}   -- literally c (checked wrt. 'syntax' declarations)
    48 
    49   - Literal types within 'typed_print_translations', i.e. those *not*
    50     represented as pseudo-terms are represented verbatim.  Use @{class
    51     c} or @{type_name c} here instead of the above syntax
    52     antiquotations.
    53 
    54 Note that old non-authentic syntax was based on unqualified base
    55 names, so all of the above "constant" names would coincide.  Recall
    56 that 'print_syntax' and ML_command "set Syntax.trace_ast" help to
    57 diagnose syntax problems.
    58 
    59 * Type constructors admit general mixfix syntax, not just infix.
    60 
    61 * Concrete syntax may be attached to local entities without a proof
    62 body, too.  This works via regular mixfix annotations for 'fix',
    63 'def', 'obtain' etc. or via the explicit 'write' command, which is
    64 similar to the 'notation' command in theory specifications.
    65 
    66 * Discontinued unnamed infix syntax (legacy feature for many years) --
    67 need to specify constant name and syntax separately.  Internal ML
    68 datatype constructors have been renamed from InfixName to Infix etc.
    69 Minor INCOMPATIBILITY.
    70 
    71 * Schematic theorem statements need to be explicitly markup as such,
    72 via commands 'schematic_lemma', 'schematic_theorem',
    73 'schematic_corollary'.  Thus the relevance of the proof is made
    74 syntactically clear, which impacts performance in a parallel or
    75 asynchronous interactive environment.  Minor INCOMPATIBILITY.
    76 
    77 * Use of cumulative prems via "!" in some proof methods has been
    78 discontinued (old legacy feature).
    79 
    80 * References 'trace_simp' and 'debug_simp' have been replaced by
    81 configuration options stored in the context. Enabling tracing (the
    82 case of debugging is similar) in proofs works via
    83 
    84   using [[trace_simp = true]]
    85 
    86 Tracing is then active for all invocations of the simplifier in
    87 subsequent goal refinement steps. Tracing may also still be enabled or
    88 disabled via the ProofGeneral settings menu.
    89 
    90 * Separate commands 'hide_class', 'hide_type', 'hide_const',
    91 'hide_fact' replace the former 'hide' KIND command.  Minor
    92 INCOMPATIBILITY.
    93 
    94 * Improved parallelism of proof term normalization: usedir -p2 -q0 is
    95 more efficient than combinations with -q1 or -q2.
    96 
    97 
    98 *** Pure ***
    99 
   100 * Proofterms record type-class reasoning explicitly, using the
   101 "unconstrain" operation internally.  This eliminates all sort
   102 constraints from a theorem and proof, introducing explicit
   103 OFCLASS-premises.  On the proof term level, this operation is
   104 automatically applied at theorem boundaries, such that closed proofs
   105 are always free of sort constraints.  INCOMPATIBILITY for tools that
   106 inspect proof terms.
   107 
   108 * Local theory specifications may depend on extra type variables that
   109 are not present in the result type -- arguments TYPE('a) :: 'a itself
   110 are added internally.  For example:
   111 
   112   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
   113 
   114 * Predicates of locales introduced by classes carry a mandatory
   115 "class" prefix.  INCOMPATIBILITY.
   116 
   117 * Vacuous class specifications observe default sort.  INCOMPATIBILITY.
   118 
   119 * Old 'axclass' command has been discontinued.  INCOMPATIBILITY, use
   120 'class' instead.
   121 
   122 * Command 'code_reflect' allows to incorporate generated ML code into
   123 runtime environment; replaces immature code_datatype antiquotation.
   124 INCOMPATIBILITY.
   125 
   126 * Code generator: simple concept for abstract datatypes obeying
   127 invariants.
   128 
   129 * Code generator: details of internal data cache have no impact on the
   130 user space functionality any longer.
   131 
   132 * Methods "unfold_locales" and "intro_locales" ignore non-locale
   133 subgoals.  This is more appropriate for interpretations with 'where'.
   134 INCOMPATIBILITY.
   135 
   136 * Command 'example_proof' opens an empty proof body.  This allows to
   137 experiment with Isar, without producing any persistent result.
   138 
   139 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   140 within a local theory context, with explicit checking of the
   141 constructors involved (in contrast to the raw 'syntax' versions).
   142 
   143 * Commands 'types' and 'typedecl' now work within a local theory
   144 context -- without introducing dependencies on parameters or
   145 assumptions, which is not possible in Isabelle/Pure.
   146 
   147 * Command 'defaultsort' has been renamed to 'default_sort', it works
   148 within a local theory context.  Minor INCOMPATIBILITY.
   149 
   150 
   151 *** HOL ***
   152 
   153 * Command 'typedef' now works within a local theory context -- without
   154 introducing dependencies on parameters or assumptions, which is not
   155 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   156 contain multiple interpretations of local typedefs (with different
   157 non-emptiness proofs), even in a global theory context.
   158 
   159 * New package for quotient types.  Commands 'quotient_type' and
   160 'quotient_definition' may be used for defining types and constants by
   161 quotient constructions.  An example is the type of integers created by
   162 quotienting pairs of natural numbers:
   163   
   164   fun
   165     intrel :: "(nat * nat) => (nat * nat) => bool" 
   166   where
   167     "intrel (x, y) (u, v) = (x + v = u + y)"
   168 
   169   quotient_type int = "nat × nat" / intrel
   170     by (auto simp add: equivp_def expand_fun_eq)
   171   
   172   quotient_definition
   173     "0::int" is "(0::nat, 0::nat)"
   174 
   175 The method "lifting" can be used to lift of theorems from the
   176 underlying "raw" type to the quotient type.  The example
   177 src/HOL/Quotient_Examples/FSet.thy includes such a quotient
   178 construction and provides a reasoning infrastructure for finite sets.
   179 
   180 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   181 clash with new theory Quotient in Main HOL.
   182 
   183 * Moved the SMT binding into the main HOL session, eliminating
   184 separate HOL-SMT session.
   185 
   186 * List membership infix mem operation is only an input abbreviation.
   187 INCOMPATIBILITY.
   188 
   189 * Theory Library/Word.thy has been removed.  Use library Word/Word.thy
   190 for future developements; former Library/Word.thy is still present in
   191 the AFP entry RSAPPS.
   192 
   193 * Theorem Int.int_induct renamed to Int.int_of_nat_induct and is no
   194 longer shadowed.  INCOMPATIBILITY.
   195 
   196 * Dropped theorem duplicate comp_arith; use semiring_norm instead.
   197 INCOMPATIBILITY.
   198 
   199 * Dropped theorem RealPow.real_sq_order; use power2_le_imp_le instead.
   200 INCOMPATIBILITY.
   201 
   202 * Dropped normalizing_semiring etc; use the facts in semiring classes
   203 instead.  INCOMPATIBILITY.
   204 
   205 * Dropped several real-specific versions of lemmas about floor and
   206 ceiling; use the generic lemmas from theory "Archimedean_Field"
   207 instead.  INCOMPATIBILITY.
   208 
   209   floor_number_of_eq         ~> floor_number_of
   210   le_floor_eq_number_of      ~> number_of_le_floor
   211   le_floor_eq_zero           ~> zero_le_floor
   212   le_floor_eq_one            ~> one_le_floor
   213   floor_less_eq_number_of    ~> floor_less_number_of
   214   floor_less_eq_zero         ~> floor_less_zero
   215   floor_less_eq_one          ~> floor_less_one
   216   less_floor_eq_number_of    ~> number_of_less_floor
   217   less_floor_eq_zero         ~> zero_less_floor
   218   less_floor_eq_one          ~> one_less_floor
   219   floor_le_eq_number_of      ~> floor_le_number_of
   220   floor_le_eq_zero           ~> floor_le_zero
   221   floor_le_eq_one            ~> floor_le_one
   222   floor_subtract_number_of   ~> floor_diff_number_of
   223   floor_subtract_one         ~> floor_diff_one
   224   ceiling_number_of_eq       ~> ceiling_number_of
   225   ceiling_le_eq_number_of    ~> ceiling_le_number_of
   226   ceiling_le_zero_eq         ~> ceiling_le_zero
   227   ceiling_le_eq_one          ~> ceiling_le_one
   228   less_ceiling_eq_number_of  ~> number_of_less_ceiling
   229   less_ceiling_eq_zero       ~> zero_less_ceiling
   230   less_ceiling_eq_one        ~> one_less_ceiling
   231   ceiling_less_eq_number_of  ~> ceiling_less_number_of
   232   ceiling_less_eq_zero       ~> ceiling_less_zero
   233   ceiling_less_eq_one        ~> ceiling_less_one
   234   le_ceiling_eq_number_of    ~> number_of_le_ceiling
   235   le_ceiling_eq_zero         ~> zero_le_ceiling
   236   le_ceiling_eq_one          ~> one_le_ceiling
   237   ceiling_subtract_number_of ~> ceiling_diff_number_of
   238   ceiling_subtract_one       ~> ceiling_diff_one
   239 
   240 * Theory "Finite_Set": various folding_XXX locales facilitate the
   241 application of the various fold combinators on finite sets.
   242 
   243 * Library theory "RBT" renamed to "RBT_Impl"; new library theory "RBT"
   244 provides abstract red-black tree type which is backed by "RBT_Impl" as
   245 implementation.  INCOMPATIBILTY.
   246 
   247 * Theory Library/Coinductive_List has been removed -- superseded by
   248 AFP/thys/Coinductive.
   249 
   250 * Theory PReal, including the type "preal" and related operations, has
   251 been removed.  INCOMPATIBILITY.
   252 
   253 * Split off theory "Big_Operators" containing setsum, setprod,
   254 Inf_fin, Sup_fin, Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   255 
   256 * Theory "Rational" renamed to "Rat", for consistency with "Nat",
   257 "Int" etc.  INCOMPATIBILITY.
   258 
   259 * Constant Rat.normalize needs to be qualified.  INCOMPATIBILITY.
   260 
   261 * New set of rules "ac_simps" provides combined assoc / commute
   262 rewrites for all interpretations of the appropriate generic locales.
   263 
   264 * Renamed theory "OrderedGroup" to "Groups" and split theory
   265 "Ring_and_Field" into theories "Rings" and "Fields"; for more
   266 appropriate and more consistent names suitable for name prefixes
   267 within the HOL theories.  INCOMPATIBILITY.
   268 
   269 * Some generic constants have been put to appropriate theories:
   270   - less_eq, less: Orderings
   271   - zero, one, plus, minus, uminus, times, abs, sgn: Groups
   272   - inverse, divide: Rings
   273 INCOMPATIBILITY.
   274 
   275 * More consistent naming of type classes involving orderings (and
   276 lattices):
   277 
   278     lower_semilattice                   ~> semilattice_inf
   279     upper_semilattice                   ~> semilattice_sup
   280 
   281     dense_linear_order                  ~> dense_linorder
   282 
   283     pordered_ab_group_add               ~> ordered_ab_group_add
   284     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   285     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   286     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   287     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   288     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   289     pordered_cancel_semiring            ~> ordered_cancel_semiring
   290     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   291     pordered_comm_ring                  ~> ordered_comm_ring
   292     pordered_comm_semiring              ~> ordered_comm_semiring
   293     pordered_ring                       ~> ordered_ring
   294     pordered_ring_abs                   ~> ordered_ring_abs
   295     pordered_semiring                   ~> ordered_semiring
   296 
   297     ordered_ab_group_add                ~> linordered_ab_group_add
   298     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   299     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   300     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   301     ordered_field                       ~> linordered_field
   302     ordered_field_no_lb                 ~> linordered_field_no_lb
   303     ordered_field_no_ub                 ~> linordered_field_no_ub
   304     ordered_field_dense_linear_order    ~> dense_linordered_field
   305     ordered_idom                        ~> linordered_idom
   306     ordered_ring                        ~> linordered_ring
   307     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   308     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   309     ordered_ring_strict                 ~> linordered_ring_strict
   310     ordered_semidom                     ~> linordered_semidom
   311     ordered_semiring                    ~> linordered_semiring
   312     ordered_semiring_1                  ~> linordered_semiring_1
   313     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   314     ordered_semiring_strict             ~> linordered_semiring_strict
   315 
   316   The following slightly odd type classes have been moved to a
   317   separate theory Library/Lattice_Algebras:
   318 
   319     lordered_ab_group_add               ~> lattice_ab_group_add
   320     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   321     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   322     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   323     lordered_ring                       ~> lattice_ring
   324 
   325 INCOMPATIBILITY.
   326 
   327 * Refined field classes:
   328   - classes division_ring_inverse_zero, field_inverse_zero,
   329     linordered_field_inverse_zero include rule inverse 0 = 0 --
   330     subsumes former division_by_zero class;
   331   - numerous lemmas have been ported from field to division_ring.
   332 INCOMPATIBILITY.
   333 
   334 * Refined algebra theorem collections:
   335   - dropped theorem group group_simps, use algebra_simps instead;
   336   - dropped theorem group ring_simps, use field_simps instead;
   337   - proper theorem collection field_simps subsumes former theorem
   338     groups field_eq_simps and field_simps;
   339   - dropped lemma eq_minus_self_iff which is a duplicate for
   340     equal_neg_zero.
   341 INCOMPATIBILITY.
   342 
   343 * Theory Finite_Set and List: some lemmas have been generalized from
   344 sets to lattices:
   345 
   346   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
   347   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
   348   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
   349   union_Union_fold_union        ~> sup_Sup_fold_sup
   350   Inter_fold_inter              ~> Inf_fold_inf
   351   Union_fold_union              ~> Sup_fold_sup
   352   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
   353   union_UNION_fold_union        ~> sup_SUPR_fold_sup
   354   INTER_fold_inter              ~> INFI_fold_inf
   355   UNION_fold_union              ~> SUPR_fold_sup
   356 
   357 * Theory "Complete_Lattice": lemmas top_def and bot_def have been
   358 replaced by the more convenient lemmas Inf_empty and Sup_empty.
   359 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
   360 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
   361 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
   362 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
   363 
   364 * Reorganized theory Multiset: swapped notation of pointwise and
   365 multiset order:
   366 
   367   - pointwise ordering is instance of class order with standard syntax
   368     <= and <;
   369   - multiset ordering has syntax <=# and <#; partial order properties
   370     are provided by means of interpretation with prefix
   371     multiset_order;
   372   - less duplication, less historical organization of sections,
   373     conversion from associations lists to multisets, rudimentary code
   374     generation;
   375   - use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union,
   376     if needed.
   377 
   378 Renamed:
   379 
   380   multiset_eq_conv_count_eq  ~>  multiset_ext_iff
   381   multi_count_ext  ~>  multiset_ext
   382   diff_union_inverse2  ~>  diff_union_cancelR
   383 
   384 INCOMPATIBILITY.
   385 
   386 * Theory Permutation: replaced local "remove" by List.remove1.
   387 
   388 * Code generation: ML and OCaml code is decorated with signatures.
   389 
   390 * Theory List: added transpose.
   391 
   392 * Library/Nat_Bijection.thy is a collection of bijective functions
   393 between nat and other types, which supersedes the older libraries
   394 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
   395 
   396   Constants:
   397   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
   398   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
   399   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
   400   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
   401   Countable.pair_encode           ~> prod_encode
   402   NatIso.prod2nat                 ~> prod_encode
   403   NatIso.nat2prod                 ~> prod_decode
   404   NatIso.sum2nat                  ~> sum_encode
   405   NatIso.nat2sum                  ~> sum_decode
   406   NatIso.list2nat                 ~> list_encode
   407   NatIso.nat2list                 ~> list_decode
   408   NatIso.set2nat                  ~> set_encode
   409   NatIso.nat2set                  ~> set_decode
   410 
   411   Lemmas:
   412   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
   413   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
   414   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
   415   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
   416   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
   417   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
   418   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
   419   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
   420   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
   421   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
   422   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
   423   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
   424   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
   425 
   426 * Sledgehammer:
   427   - Renamed ATP commands:
   428     atp_info     ~> sledgehammer running_atps
   429     atp_kill     ~> sledgehammer kill_atps
   430     atp_messages ~> sledgehammer messages
   431     atp_minimize ~> sledgehammer minimize
   432     print_atps   ~> sledgehammer available_atps
   433     INCOMPATIBILITY.
   434   - Added user's manual ("isabelle doc sledgehammer").
   435   - Added option syntax and "sledgehammer_params" to customize
   436     Sledgehammer's behavior.  See the manual for details.
   437   - Modified the Isar proof reconstruction code so that it produces
   438     direct proofs rather than proofs by contradiction.  (This feature
   439     is still experimental.)
   440   - Made Isar proof reconstruction work for SPASS, remote ATPs, and in
   441     full-typed mode.
   442   - Added support for TPTP syntax for SPASS via the "spass_tptp" ATP.
   443 
   444 * Nitpick:
   445   - Added and implemented "binary_ints" and "bits" options.
   446   - Added "std" option and implemented support for nonstandard models.
   447   - Added and implemented "finitize" option to improve the precision
   448     of infinite datatypes based on a monotonicity analysis.
   449   - Added support for quotient types.
   450   - Added support for "specification" and "ax_specification"
   451     constructs.
   452   - Added support for local definitions (for "function" and
   453     "termination" proofs).
   454   - Added support for term postprocessors.
   455   - Optimized "Multiset.multiset" and "FinFun.finfun".
   456   - Improved efficiency of "destroy_constrs" optimization.
   457   - Fixed soundness bugs related to "destroy_constrs" optimization and
   458     record getters.
   459   - Fixed soundness bug related to higher-order constructors.
   460   - Fixed soundness bug when "full_descrs" is enabled.
   461   - Improved precision of set constructs.
   462   - Added "atoms" option.
   463   - Added cache to speed up repeated Kodkod invocations on the same
   464     problems.
   465   - Renamed "MiniSatJNI", "zChaffJNI", "BerkMinAlloy", and
   466     "SAT4JLight" to "MiniSat_JNI", "zChaff_JNI", "BerkMin_Alloy", and
   467     "SAT4J_Light".  INCOMPATIBILITY.
   468   - Removed "skolemize", "uncurry", "sym_break", "flatten_prop",
   469     "sharing_depth", and "show_skolems" options.  INCOMPATIBILITY.
   470   - Removed "nitpick_intro" attribute.  INCOMPATIBILITY.
   471 
   472 * Method "induct" now takes instantiations of the form t, where t is not
   473   a variable, as a shorthand for "x == t", where x is a fresh variable.
   474   If this is not intended, t has to be enclosed in parentheses.
   475   By default, the equalities generated by definitional instantiations
   476   are pre-simplified, which may cause parameters of inductive cases
   477   to disappear, or may even delete some of the inductive cases.
   478   Use "induct (no_simp)" instead of "induct" to restore the old
   479   behaviour. The (no_simp) option is also understood by the "cases"
   480   and "nominal_induct" methods, which now perform pre-simplification, too.
   481   INCOMPATIBILITY.
   482 
   483 
   484 *** HOLCF ***
   485 
   486 * Variable names in lemmas generated by the domain package have
   487 changed; the naming scheme is now consistent with the HOL datatype
   488 package.  Some proof scripts may be affected, INCOMPATIBILITY.
   489 
   490 * The domain package no longer defines the function "foo_copy" for
   491 recursive domain "foo".  The reach lemma is now stated directly in
   492 terms of "foo_take".  Lemmas and proofs that mention "foo_copy" must
   493 be reformulated in terms of "foo_take", INCOMPATIBILITY.
   494 
   495 * Most definedness lemmas generated by the domain package (previously
   496 of the form "x ~= UU ==> foo$x ~= UU") now have an if-and-only-if form
   497 like "foo$x = UU <-> x = UU", which works better as a simp rule.
   498 Proofs that used definedness lemmas as intro rules may break,
   499 potential INCOMPATIBILITY.
   500 
   501 * Induction and casedist rules generated by the domain package now
   502 declare proper case_names (one called "bottom", and one named for each
   503 constructor).  INCOMPATIBILITY.
   504 
   505 * For mutually-recursive domains, separate "reach" and "take_lemma"
   506 rules are generated for each domain, INCOMPATIBILITY.
   507 
   508   foo_bar.reach       ~> foo.reach  bar.reach
   509   foo_bar.take_lemmas ~> foo.take_lemma  bar.take_lemma
   510 
   511 * Some lemmas generated by the domain package have been renamed for
   512 consistency with the datatype package, INCOMPATIBILITY.
   513 
   514   foo.ind        ~> foo.induct
   515   foo.finite_ind ~> foo.finite_induct
   516   foo.coind      ~> foo.coinduct
   517   foo.casedist   ~> foo.exhaust
   518   foo.exhaust    ~> foo.nchotomy
   519 
   520 * For consistency with other definition packages, the fixrec package
   521 now generates qualified theorem names, INCOMPATIBILITY.
   522 
   523   foo_simps  ~> foo.simps
   524   foo_unfold ~> foo.unfold
   525   foo_induct ~> foo.induct
   526 
   527 * The "fixrec_simp" attribute has been removed.  The "fixrec_simp"
   528 method and internal fixrec proofs now use the default simpset instead.
   529 INCOMPATIBILITY.
   530 
   531 * The "contlub" predicate has been removed.  Proof scripts should use
   532 lemma contI2 in place of monocontlub2cont, INCOMPATIBILITY.
   533 
   534 * The "admw" predicate has been removed, INCOMPATIBILITY.
   535 
   536 * The constants cpair, cfst, and csnd have been removed in favor of
   537 Pair, fst, and snd from Isabelle/HOL, INCOMPATIBILITY.
   538 
   539 
   540 *** ML ***
   541 
   542 * Antiquotations for basic formal entities:
   543 
   544     @{class NAME}         -- type class
   545     @{class_syntax NAME}  -- syntax representation of the above
   546 
   547     @{type_name NAME}     -- logical type
   548     @{type_abbrev NAME}   -- type abbreviation
   549     @{nonterminal NAME}   -- type of concrete syntactic category
   550     @{type_syntax NAME}   -- syntax representation of any of the above
   551 
   552     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
   553     @{const_abbrev NAME}  -- abbreviated constant
   554     @{const_syntax NAME}  -- syntax representation of any of the above
   555 
   556 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
   557 syntax constant (cf. 'syntax' command).
   558 
   559 * Antiquotation @{make_string} inlines a function to print arbitrary
   560 values similar to the ML toplevel.  The result is compiler dependent
   561 and may fall back on "?" in certain situations.
   562 
   563 * Diagnostic commands 'ML_val' and 'ML_command' may refer to
   564 antiquotations @{Isar.state} and @{Isar.goal}.  This replaces impure
   565 Isar.state() and Isar.goal(), which belong to the old TTY loop and do
   566 not work with the asynchronous Isar document model.
   567 
   568 * Configuration options now admit dynamic default values, depending on
   569 the context or even global references.
   570 
   571 * SHA1.digest digests strings according to SHA-1 (see RFC 3174).  It
   572 uses an efficient external library if available (for Poly/ML).
   573 
   574 * Renamed some important ML structures, while keeping the old names
   575 for some time as aliases within the structure Legacy:
   576 
   577   OuterKeyword  ~>  Keyword
   578   OuterLex      ~>  Token
   579   OuterParse    ~>  Parse
   580   OuterSyntax   ~>  Outer_Syntax
   581   PrintMode     ~>  Print_Mode
   582   SpecParse     ~>  Parse_Spec
   583   ThyInfo       ~>  Thy_Info
   584   ThyLoad       ~>  Thy_Load
   585   ThyOutput     ~>  Thy_Output
   586   TypeInfer     ~>  Type_Infer
   587 
   588 Note that "open Legacy" simplifies porting of sources, but forgetting
   589 to remove it again will complicate porting again in the future.
   590 
   591 * Most operations that refer to a global context are named
   592 accordingly, e.g. Simplifier.global_context or
   593 ProofContext.init_global.  There are some situations where a global
   594 context actually works, but under normal circumstances one needs to
   595 pass the proper local context through the code!
   596 
   597 * Discontinued old TheoryDataFun with its copy/init operation -- data
   598 needs to be pure.  Functor Theory_Data_PP retains the traditional
   599 Pretty.pp argument to merge, which is absent in the standard
   600 Theory_Data version.
   601 
   602 * Sorts.certify_sort and derived "cert" operations for types and terms
   603 no longer minimize sorts.  Thus certification at the boundary of the
   604 inference kernel becomes invariant under addition of class relations,
   605 which is an important monotonicity principle.  Sorts are now minimized
   606 in the syntax layer only, at the boundary between the end-user and the
   607 system.  Subtle INCOMPATIBILITY, may have to use Sign.minimize_sort
   608 explicitly in rare situations.
   609 
   610 * Renamed old-style Drule.standard to Drule.export_without_context, to
   611 emphasize that this is in no way a standard operation.
   612 INCOMPATIBILITY.
   613 
   614 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
   615 usual for resolution.  Rare INCOMPATIBILITY.
   616 
   617 * Renamed varify/unvarify operations to varify_global/unvarify_global
   618 to emphasize that these only work in a global situation (which is
   619 quite rare).
   620 
   621 * Curried take and drop in library.ML; negative length is interpreted
   622 as infinity (as in chop).  Subtle INCOMPATIBILITY.
   623 
   624 * Proof terms: type substitutions on proof constants now use canonical
   625 order of type variables.  INCOMPATIBILITY for tools working with proof
   626 terms.
   627 
   628 * Raw axioms/defs may no longer carry sort constraints, and raw defs
   629 may no longer carry premises.  User-level specifications are
   630 transformed accordingly by Thm.add_axiom/add_def.
   631 
   632 
   633 *** System ***
   634 
   635 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
   636 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
   637 proof terms are enabled unconditionally in the new HOL-Proofs image.
   638 
   639 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
   640 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
   641 respectively.
   642 
   643 * Old lib/scripts/polyml-platform is superseded by the
   644 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
   645 variant, even on a 64 bit machine.  The following example setting
   646 prefers 64 bit if available:
   647 
   648   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
   649 
   650 * The preliminary Isabelle/jEdit application demonstrates the emerging
   651 Isabelle/Scala layer for advanced prover interaction and integration.
   652 See src/Tools/jEdit or "isabelle jedit" provided by the properly built
   653 component.
   654 
   655 
   656 
   657 New in Isabelle2009-1 (December 2009)
   658 -------------------------------------
   659 
   660 *** General ***
   661 
   662 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
   663 one backslash should be used, even in ML sources.
   664 
   665 
   666 *** Pure ***
   667 
   668 * Locale interpretation propagates mixins along the locale hierarchy.
   669 The currently only available mixins are the equations used to map
   670 local definitions to terms of the target domain of an interpretation.
   671 
   672 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
   673 loc" to print all interpretations of locale "loc" in the theory.
   674 Interpretations in proofs are not shown.
   675 
   676 * Thoroughly revised locales tutorial.  New section on conditional
   677 interpretation.
   678 
   679 * On instantiation of classes, remaining undefined class parameters
   680 are formally declared.  INCOMPATIBILITY.
   681 
   682 
   683 *** Document preparation ***
   684 
   685 * New generalized style concept for printing terms: @{foo (style) ...}
   686 instead of @{foo_style style ...}  (old form is still retained for
   687 backward compatibility).  Styles can be also applied for
   688 antiquotations prop, term_type and typeof.
   689 
   690 
   691 *** HOL ***
   692 
   693 * New proof method "smt" for a combination of first-order logic with
   694 equality, linear and nonlinear (natural/integer/real) arithmetic, and
   695 fixed-size bitvectors; there is also basic support for higher-order
   696 features (esp. lambda abstractions).  It is an incomplete decision
   697 procedure based on external SMT solvers using the oracle mechanism;
   698 for the SMT solver Z3, this method is proof-producing.  Certificates
   699 are provided to avoid calling the external solvers solely for
   700 re-checking proofs.  Due to a remote SMT service there is no need for
   701 installing SMT solvers locally.  See src/HOL/SMT.
   702 
   703 * New commands to load and prove verification conditions generated by
   704 the Boogie program verifier or derived systems (e.g. the Verifying C
   705 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
   706 
   707 * New counterexample generator tool 'nitpick' based on the Kodkod
   708 relational model finder.  See src/HOL/Tools/Nitpick and
   709 src/HOL/Nitpick_Examples.
   710 
   711 * New commands 'code_pred' and 'values' to invoke the predicate
   712 compiler and to enumerate values of inductive predicates.
   713 
   714 * A tabled implementation of the reflexive transitive closure.
   715 
   716 * New implementation of quickcheck uses generic code generator;
   717 default generators are provided for all suitable HOL types, records
   718 and datatypes.  Old quickcheck can be re-activated importing theory
   719 Library/SML_Quickcheck.
   720 
   721 * New testing tool Mirabelle for automated proof tools.  Applies
   722 several tools and tactics like sledgehammer, metis, or quickcheck, to
   723 every proof step in a theory.  To be used in batch mode via the
   724 "mirabelle" utility.
   725 
   726 * New proof method "sos" (sum of squares) for nonlinear real
   727 arithmetic (originally due to John Harison). It requires theory
   728 Library/Sum_Of_Squares.  It is not a complete decision procedure but
   729 works well in practice on quantifier-free real arithmetic with +, -,
   730 *, ^, =, <= and <, i.e. boolean combinations of equalities and
   731 inequalities between polynomials.  It makes use of external
   732 semidefinite programming solvers.  Method "sos" generates a
   733 certificate that can be pasted into the proof thus avoiding the need
   734 to call an external tool every time the proof is checked.  See
   735 src/HOL/Library/Sum_Of_Squares.
   736 
   737 * New method "linarith" invokes existing linear arithmetic decision
   738 procedure only.
   739 
   740 * New command 'atp_minimal' reduces result produced by Sledgehammer.
   741 
   742 * New Sledgehammer option "Full Types" in Proof General settings menu.
   743 Causes full type information to be output to the ATPs.  This slows
   744 ATPs down considerably but eliminates a source of unsound "proofs"
   745 that fail later.
   746 
   747 * New method "metisFT": A version of metis that uses full type
   748 information in order to avoid failures of proof reconstruction.
   749 
   750 * New evaluator "approximate" approximates an real valued term using
   751 the same method as the approximation method.
   752 
   753 * Method "approximate" now supports arithmetic expressions as
   754 boundaries of intervals and implements interval splitting and Taylor
   755 series expansion.
   756 
   757 * ML antiquotation @{code_datatype} inserts definition of a datatype
   758 generated by the code generator; e.g. see src/HOL/Predicate.thy.
   759 
   760 * New theory SupInf of the supremum and infimum operators for sets of
   761 reals.
   762 
   763 * New theory Probability, which contains a development of measure
   764 theory, eventually leading to Lebesgue integration and probability.
   765 
   766 * Extended Multivariate Analysis to include derivation and Brouwer's
   767 fixpoint theorem.
   768 
   769 * Reorganization of number theory, INCOMPATIBILITY:
   770   - new number theory development for nat and int, in theories Divides
   771     and GCD as well as in new session Number_Theory
   772   - some constants and facts now suffixed with _nat and _int
   773     accordingly
   774   - former session NumberTheory now named Old_Number_Theory, including
   775     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
   776   - moved theory Pocklington from src/HOL/Library to
   777     src/HOL/Old_Number_Theory
   778 
   779 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
   780 lcm of finite and infinite sets. It is shown that they form a complete
   781 lattice.
   782 
   783 * Class semiring_div requires superclass no_zero_divisors and proof of
   784 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
   785 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
   786 generalized to class semiring_div, subsuming former theorems
   787 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
   788 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
   789 INCOMPATIBILITY.
   790 
   791 * Refinements to lattice classes and sets:
   792   - less default intro/elim rules in locale variant, more default
   793     intro/elim rules in class variant: more uniformity
   794   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
   795     le_inf_iff
   796   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
   797     sup_aci)
   798   - renamed ACI to inf_sup_aci
   799   - new class "boolean_algebra"
   800   - class "complete_lattice" moved to separate theory
   801     "Complete_Lattice"; corresponding constants (and abbreviations)
   802     renamed and with authentic syntax:
   803     Set.Inf ~>    Complete_Lattice.Inf
   804     Set.Sup ~>    Complete_Lattice.Sup
   805     Set.INFI ~>   Complete_Lattice.INFI
   806     Set.SUPR ~>   Complete_Lattice.SUPR
   807     Set.Inter ~>  Complete_Lattice.Inter
   808     Set.Union ~>  Complete_Lattice.Union
   809     Set.INTER ~>  Complete_Lattice.INTER
   810     Set.UNION ~>  Complete_Lattice.UNION
   811   - authentic syntax for
   812     Set.Pow
   813     Set.image
   814   - mere abbreviations:
   815     Set.empty               (for bot)
   816     Set.UNIV                (for top)
   817     Set.inter               (for inf, formerly Set.Int)
   818     Set.union               (for sup, formerly Set.Un)
   819     Complete_Lattice.Inter  (for Inf)
   820     Complete_Lattice.Union  (for Sup)
   821     Complete_Lattice.INTER  (for INFI)
   822     Complete_Lattice.UNION  (for SUPR)
   823   - object-logic definitions as far as appropriate
   824 
   825 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
   826 Un_subset_iff are explicitly deleted as default simp rules; then also
   827 their lattice counterparts le_inf_iff and le_sup_iff have to be
   828 deleted to achieve the desired effect.
   829 
   830 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
   831 rules by default any longer; the same applies to min_max.inf_absorb1
   832 etc.  INCOMPATIBILITY.
   833 
   834 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
   835 pred_set_conv by default.  INCOMPATIBILITY.
   836 
   837 * Power operations on relations and functions are now one dedicated
   838 constant "compow" with infix syntax "^^".  Power operation on
   839 multiplicative monoids retains syntax "^" and is now defined generic
   840 in class power.  INCOMPATIBILITY.
   841 
   842 * Relation composition "R O S" now has a more standard argument order:
   843 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
   844 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
   845 break, since the O_assoc rule was not rewritten like this.  Fix using
   846 O_assoc[symmetric].  The same applies to the curried version "R OO S".
   847 
   848 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
   849 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
   850 INCOMPATIBILITY.
   851 
   852 * Most rules produced by inductive and datatype package have mandatory
   853 prefixes.  INCOMPATIBILITY.
   854 
   855 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
   856 the attribute of the same name.  Each of the theorems in the list
   857 DERIV_intros assumes composition with an additional function and
   858 matches a variable to the derivative, which has to be solved by the
   859 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
   860 of most elementary terms.  Former Maclauren.DERIV_tac and
   861 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
   862 INCOMPATIBILITY.
   863 
   864 * Code generator attributes follow the usual underscore convention:
   865     code_unfold     replaces    code unfold
   866     code_post       replaces    code post
   867     etc.
   868   INCOMPATIBILITY.
   869 
   870 * Renamed methods:
   871     sizechange -> size_change
   872     induct_scheme -> induction_schema
   873   INCOMPATIBILITY.
   874 
   875 * Discontinued abbreviation "arbitrary" of constant "undefined".
   876 INCOMPATIBILITY, use "undefined" directly.
   877 
   878 * Renamed theorems:
   879     Suc_eq_add_numeral_1 -> Suc_eq_plus1
   880     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
   881     Suc_plus1 -> Suc_eq_plus1
   882     *anti_sym -> *antisym*
   883     vector_less_eq_def -> vector_le_def
   884   INCOMPATIBILITY.
   885 
   886 * Added theorem List.map_map as [simp].  Removed List.map_compose.
   887 INCOMPATIBILITY.
   888 
   889 * Removed predicate "M hassize n" (<--> card M = n & finite M).
   890 INCOMPATIBILITY.
   891 
   892 
   893 *** HOLCF ***
   894 
   895 * Theory Representable defines a class "rep" of domains that are
   896 representable (via an ep-pair) in the universal domain type "udom".
   897 Instances are provided for all type constructors defined in HOLCF.
   898 
   899 * The 'new_domain' command is a purely definitional version of the
   900 domain package, for representable domains.  Syntax is identical to the
   901 old domain package.  The 'new_domain' package also supports indirect
   902 recursion using previously-defined type constructors.  See
   903 src/HOLCF/ex/New_Domain.thy for examples.
   904 
   905 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
   906 on the left-hand side of an equation, and then performs
   907 simplification.  Rewriting is done using rules declared with the
   908 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
   909 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
   910 
   911 * The pattern-match compiler in 'fixrec' can now handle constructors
   912 with HOL function types.  Pattern-match combinators for the Pair
   913 constructor are pre-configured.
   914 
   915 * The 'fixrec' package now produces better fixed-point induction rules
   916 for mutually-recursive definitions:  Induction rules have conclusions
   917 of the form "P foo bar" instead of "P <foo, bar>".
   918 
   919 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
   920 been renamed to "below".  The name "below" now replaces "less" in many
   921 theorem names.  (Legacy theorem names using "less" are still supported
   922 as well.)
   923 
   924 * The 'fixrec' package now supports "bottom patterns".  Bottom
   925 patterns can be used to generate strictness rules, or to make
   926 functions more strict (much like the bang-patterns supported by the
   927 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
   928 examples.
   929 
   930 
   931 *** ML ***
   932 
   933 * Support for Poly/ML 5.3.0, with improved reporting of compiler
   934 errors and run-time exceptions, including detailed source positions.
   935 
   936 * Structure Name_Space (formerly NameSpace) now manages uniquely
   937 identified entries, with some additional information such as source
   938 position, logical grouping etc.
   939 
   940 * Theory and context data is now introduced by the simplified and
   941 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
   942 to be pure, but the old TheoryDataFun for mutable data (with explicit
   943 copy operation) is still available for some time.
   944 
   945 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
   946 provides a high-level programming interface to synchronized state
   947 variables with atomic update.  This works via pure function
   948 application within a critical section -- its runtime should be as
   949 short as possible; beware of deadlocks if critical code is nested,
   950 either directly or indirectly via other synchronized variables!
   951 
   952 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
   953 wraps raw ML references, explicitly indicating their non-thread-safe
   954 behaviour.  The Isar toplevel keeps this structure open, to
   955 accommodate Proof General as well as quick and dirty interactive
   956 experiments with references.
   957 
   958 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
   959 parallel tactical reasoning.
   960 
   961 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
   962 are similar to SUBPROOF, but are slightly more flexible: only the
   963 specified parts of the subgoal are imported into the context, and the
   964 body tactic may introduce new subgoals and schematic variables.
   965 
   966 * Old tactical METAHYPS, which does not observe the proof context, has
   967 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
   968 or Subgoal.FOCUS etc.
   969 
   970 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
   971 functors have their own ML name space there is no point to mark them
   972 separately.)  Minor INCOMPATIBILITY.
   973 
   974 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
   975 
   976 * Renamed several structures FooBar to Foo_Bar.  Occasional,
   977 INCOMPATIBILITY.
   978 
   979 * Operations of structure Skip_Proof no longer require quick_and_dirty
   980 mode, which avoids critical setmp.
   981 
   982 * Eliminated old Attrib.add_attributes, Method.add_methods and related
   983 combinators for "args".  INCOMPATIBILITY, need to use simplified
   984 Attrib/Method.setup introduced in Isabelle2009.
   985 
   986 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
   987 back on global_simpset_of, global_claset_of, global_clasimpset_of as
   988 last resort.  INCOMPATIBILITY.
   989 
   990 * Display.pretty_thm now requires a proper context (cf. former
   991 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
   992 or even Display.pretty_thm_without_context as last resort.
   993 INCOMPATIBILITY.
   994 
   995 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
   996 Syntax.pretty_typ/term directly, preferably with proper context
   997 instead of global theory.
   998 
   999 
  1000 *** System ***
  1001 
  1002 * Further fine tuning of parallel proof checking, scales up to 8 cores
  1003 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
  1004 usedir option -q.
  1005 
  1006 * Support for additional "Isabelle components" via etc/components, see
  1007 also the system manual.
  1008 
  1009 * The isabelle makeall tool now operates on all components with
  1010 IsaMakefile, not just hardwired "logics".
  1011 
  1012 * Removed "compress" option from isabelle-process and isabelle usedir;
  1013 this is always enabled.
  1014 
  1015 * Discontinued support for Poly/ML 4.x versions.
  1016 
  1017 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
  1018 on a given logic image.  This requires the lighttpd webserver and is
  1019 currently supported on Linux only.
  1020 
  1021 
  1022 
  1023 New in Isabelle2009 (April 2009)
  1024 --------------------------------
  1025 
  1026 *** General ***
  1027 
  1028 * Simplified main Isabelle executables, with less surprises on
  1029 case-insensitive file-systems (such as Mac OS).
  1030 
  1031   - The main Isabelle tool wrapper is now called "isabelle" instead of
  1032     "isatool."
  1033 
  1034   - The former "isabelle" alias for "isabelle-process" has been
  1035     removed (should rarely occur to regular users).
  1036 
  1037   - The former "isabelle-interface" and its alias "Isabelle" have been
  1038     removed (interfaces are now regular Isabelle tools).
  1039 
  1040 Within scripts and make files, the Isabelle environment variables
  1041 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
  1042 respectively.  (The latter are still available as legacy feature.)
  1043 
  1044 The old isabelle-interface wrapper could react in confusing ways if
  1045 the interface was uninstalled or changed otherwise.  Individual
  1046 interface tool configuration is now more explicit, see also the
  1047 Isabelle system manual.  In particular, Proof General is now available
  1048 via "isabelle emacs".
  1049 
  1050 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
  1051 purge installed copies of Isabelle executables and re-run "isabelle
  1052 install -p ...", or use symlinks.
  1053 
  1054 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
  1055 old ~/isabelle, which was slightly non-standard and apt to cause
  1056 surprises on case-insensitive file-systems (such as Mac OS).
  1057 
  1058 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
  1059 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
  1060 care is required when using older releases of Isabelle.  Note that
  1061 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
  1062 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
  1063 
  1064 * Proofs of fully specified statements are run in parallel on
  1065 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
  1066 a regular 4-core machine, if the initial heap space is made reasonably
  1067 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
  1068 
  1069 * The main reference manuals ("isar-ref", "implementation", and
  1070 "system") have been updated and extended.  Formally checked references
  1071 as hyperlinks are now available uniformly.
  1072 
  1073 
  1074 *** Pure ***
  1075 
  1076 * Complete re-implementation of locales.  INCOMPATIBILITY in several
  1077 respects.  The most important changes are listed below.  See the
  1078 Tutorial on Locales ("locales" manual) for details.
  1079 
  1080 - In locale expressions, instantiation replaces renaming.  Parameters
  1081 must be declared in a for clause.  To aid compatibility with previous
  1082 parameter inheritance, in locale declarations, parameters that are not
  1083 'touched' (instantiation position "_" or omitted) are implicitly added
  1084 with their syntax at the beginning of the for clause.
  1085 
  1086 - Syntax from abbreviations and definitions in locales is available in
  1087 locale expressions and context elements.  The latter is particularly
  1088 useful in locale declarations.
  1089 
  1090 - More flexible mechanisms to qualify names generated by locale
  1091 expressions.  Qualifiers (prefixes) may be specified in locale
  1092 expressions, and can be marked as mandatory (syntax: "name!:") or
  1093 optional (syntax "name?:").  The default depends for plain "name:"
  1094 depends on the situation where a locale expression is used: in
  1095 commands 'locale' and 'sublocale' prefixes are optional, in
  1096 'interpretation' and 'interpret' prefixes are mandatory.  The old
  1097 implicit qualifiers derived from the parameter names of a locale are
  1098 no longer generated.
  1099 
  1100 - Command "sublocale l < e" replaces "interpretation l < e".  The
  1101 instantiation clause in "interpretation" and "interpret" (square
  1102 brackets) is no longer available.  Use locale expressions.
  1103 
  1104 - When converting proof scripts, mandatory qualifiers in
  1105 'interpretation' and 'interpret' should be retained by default, even
  1106 if this is an INCOMPATIBILITY compared to former behavior.  In the
  1107 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
  1108 in locale expressions range over a single locale instance only.
  1109 
  1110 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
  1111 In existing theorem specifications replace the includes element by the
  1112 respective context elements of the included locale, omitting those
  1113 that are already present in the theorem specification.  Multiple
  1114 assume elements of a locale should be replaced by a single one
  1115 involving the locale predicate.  In the proof body, declarations (most
  1116 notably theorems) may be regained by interpreting the respective
  1117 locales in the proof context as required (command "interpret").
  1118 
  1119 If using "includes" in replacement of a target solely because the
  1120 parameter types in the theorem are not as general as in the target,
  1121 consider declaring a new locale with additional type constraints on
  1122 the parameters (context element "constrains").
  1123 
  1124 - Discontinued "locale (open)".  INCOMPATIBILITY.
  1125 
  1126 - Locale interpretation commands no longer attempt to simplify goal.
  1127 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
  1128 methods intro_locales and unfold_locales to clarify.
  1129 
  1130 - Locale interpretation commands no longer accept interpretation
  1131 attributes.  INCOMPATIBILITY.
  1132 
  1133 * Class declaration: so-called "base sort" must not be given in import
  1134 list any longer, but is inferred from the specification.  Particularly
  1135 in HOL, write
  1136 
  1137     class foo = ...
  1138 
  1139 instead of
  1140 
  1141     class foo = type + ...
  1142 
  1143 * Class target: global versions of theorems stemming do not carry a
  1144 parameter prefix any longer.  INCOMPATIBILITY.
  1145 
  1146 * Class 'instance' command no longer accepts attached definitions.
  1147 INCOMPATIBILITY, use proper 'instantiation' target instead.
  1148 
  1149 * Recovered hiding of consts, which was accidentally broken in
  1150 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
  1151 makes c inaccessible; consider using ``hide (open) const c'' instead.
  1152 
  1153 * Slightly more coherent Pure syntax, with updated documentation in
  1154 isar-ref manual.  Removed locales meta_term_syntax and
  1155 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
  1156 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
  1157 directly in regular applications.
  1158 
  1159 * There is a new syntactic category "float_const" for signed decimal
  1160 fractions (e.g. 123.45 or -123.45).
  1161 
  1162 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
  1163 interface with 'setup' command instead.
  1164 
  1165 * Command 'local_setup' is similar to 'setup', but operates on a local
  1166 theory context.
  1167 
  1168 * The 'axiomatization' command now only works within a global theory
  1169 context.  INCOMPATIBILITY.
  1170 
  1171 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
  1172 hypotheses.  Sorts required in the course of reasoning need to be
  1173 covered by the constraints in the initial statement, completed by the
  1174 type instance information of the background theory.  Non-trivial sort
  1175 hypotheses, which rarely occur in practice, may be specified via
  1176 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
  1177 
  1178   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
  1179 
  1180 The result contains an implicit sort hypotheses as before --
  1181 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
  1182 normalization.
  1183 
  1184 * Generalized Isar history, with support for linear undo, direct state
  1185 addressing etc.
  1186 
  1187 * Changed defaults for unify configuration options:
  1188 
  1189   unify_trace_bound = 50 (formerly 25)
  1190   unify_search_bound = 60 (formerly 30)
  1191 
  1192 * Different bookkeeping for code equations (INCOMPATIBILITY):
  1193 
  1194   a) On theory merge, the last set of code equations for a particular
  1195      constant is taken (in accordance with the policy applied by other
  1196      parts of the code generator framework).
  1197 
  1198   b) Code equations stemming from explicit declarations (e.g. code
  1199      attribute) gain priority over default code equations stemming
  1200      from definition, primrec, fun etc.
  1201 
  1202 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
  1203 
  1204 * Unified theorem tables for both code generators.  Thus [code
  1205 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
  1206 
  1207 * Command 'find_consts' searches for constants based on type and name
  1208 patterns, e.g.
  1209 
  1210     find_consts "_ => bool"
  1211 
  1212 By default, matching is against subtypes, but it may be restricted to
  1213 the whole type.  Searching by name is possible.  Multiple queries are
  1214 conjunctive and queries may be negated by prefixing them with a
  1215 hyphen:
  1216 
  1217     find_consts strict: "_ => bool" name: "Int" -"int => int"
  1218 
  1219 * New 'find_theorems' criterion "solves" matches theorems that
  1220 directly solve the current goal (modulo higher-order unification).
  1221 
  1222 * Auto solve feature for main theorem statements: whenever a new goal
  1223 is stated, "find_theorems solves" is called; any theorems that could
  1224 solve the lemma directly are listed as part of the goal state.
  1225 Cf. associated options in Proof General Isabelle settings menu,
  1226 enabled by default, with reasonable timeout for pathological cases of
  1227 higher-order unification.
  1228 
  1229 
  1230 *** Document preparation ***
  1231 
  1232 * Antiquotation @{lemma} now imitates a regular terminal proof,
  1233 demanding keyword 'by' and supporting the full method expression
  1234 syntax just like the Isar command 'by'.
  1235 
  1236 
  1237 *** HOL ***
  1238 
  1239 * Integrated main parts of former image HOL-Complex with HOL.  Entry
  1240 points Main and Complex_Main remain as before.
  1241 
  1242 * Logic image HOL-Plain provides a minimal HOL with the most important
  1243 tools available (inductive, datatype, primrec, ...).  This facilitates
  1244 experimentation and tool development.  Note that user applications
  1245 (and library theories) should never refer to anything below theory
  1246 Main, as before.
  1247 
  1248 * Logic image HOL-Main stops at theory Main, and thus facilitates
  1249 experimentation due to shorter build times.
  1250 
  1251 * Logic image HOL-NSA contains theories of nonstandard analysis which
  1252 were previously part of former HOL-Complex.  Entry point Hyperreal
  1253 remains valid, but theories formerly using Complex_Main should now use
  1254 new entry point Hypercomplex.
  1255 
  1256 * Generic ATP manager for Sledgehammer, based on ML threads instead of
  1257 Posix processes.  Avoids potentially expensive forking of the ML
  1258 process.  New thread-based implementation also works on non-Unix
  1259 platforms (Cygwin).  Provers are no longer hardwired, but defined
  1260 within the theory via plain ML wrapper functions.  Basic Sledgehammer
  1261 commands are covered in the isar-ref manual.
  1262 
  1263 * Wrapper scripts for remote SystemOnTPTP service allows to use
  1264 sledgehammer without local ATP installation (Vampire etc.). Other
  1265 provers may be included via suitable ML wrappers, see also
  1266 src/HOL/ATP_Linkup.thy.
  1267 
  1268 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
  1269 menu.
  1270 
  1271 * The metis method no longer fails because the theorem is too trivial
  1272 (contains the empty clause).
  1273 
  1274 * The metis method now fails in the usual manner, rather than raising
  1275 an exception, if it determines that it cannot prove the theorem.
  1276 
  1277 * Method "coherent" implements a prover for coherent logic (see also
  1278 src/Tools/coherent.ML).
  1279 
  1280 * Constants "undefined" and "default" replace "arbitrary".  Usually
  1281 "undefined" is the right choice to replace "arbitrary", though
  1282 logically there is no difference.  INCOMPATIBILITY.
  1283 
  1284 * Command "value" now integrates different evaluation mechanisms.  The
  1285 result of the first successful evaluation mechanism is printed.  In
  1286 square brackets a particular named evaluation mechanisms may be
  1287 specified (currently, [SML], [code] or [nbe]).  See further
  1288 src/HOL/ex/Eval_Examples.thy.
  1289 
  1290 * Normalization by evaluation now allows non-leftlinear equations.
  1291 Declare with attribute [code nbe].
  1292 
  1293 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1294 as the structured Isar versions "cases" and "induct", cf. the
  1295 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1296 are now presented as a list of individual projections
  1297 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1298 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1299 rare situations a different rule is selected --- notably nested tuple
  1300 elimination instead of former prod.exhaust: use explicit (case_tac t
  1301 rule: prod.exhaust) here.
  1302 
  1303 * Attributes "cases", "induct", "coinduct" support "del" option.
  1304 
  1305 * Removed fact "case_split_thm", which duplicates "case_split".
  1306 
  1307 * The option datatype has been moved to a new theory Option.  Renamed
  1308 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1309 
  1310 * New predicate "strict_mono" classifies strict functions on partial
  1311 orders.  With strict functions on linear orders, reasoning about
  1312 (in)equalities is facilitated by theorems "strict_mono_eq",
  1313 "strict_mono_less_eq" and "strict_mono_less".
  1314 
  1315 * Some set operations are now proper qualified constants with
  1316 authentic syntax.  INCOMPATIBILITY:
  1317 
  1318     op Int ~>   Set.Int
  1319     op Un ~>    Set.Un
  1320     INTER ~>    Set.INTER
  1321     UNION ~>    Set.UNION
  1322     Inter ~>    Set.Inter
  1323     Union ~>    Set.Union
  1324     {} ~>       Set.empty
  1325     UNIV ~>     Set.UNIV
  1326 
  1327 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1328 theory Set.
  1329 
  1330 * Auxiliary class "itself" has disappeared -- classes without any
  1331 parameter are treated as expected by the 'class' command.
  1332 
  1333 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1334 
  1335 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  1336 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  1337 
  1338 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  1339 method "approximation".  It proves formulas on real values by using
  1340 interval arithmetic.  In the formulas are also the transcendental
  1341 functions sin, cos, tan, atan, ln, exp and the constant pi are
  1342 allowed. For examples see
  1343 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  1344 
  1345 * Theory "Reflection" now resides in HOL/Library.
  1346 
  1347 * Entry point to Word library now simply named "Word".
  1348 INCOMPATIBILITY.
  1349 
  1350 * Made source layout more coherent with logical distribution
  1351 structure:
  1352 
  1353     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  1354     src/HOL/Library/Code_Message.thy ~> src/HOL/
  1355     src/HOL/Library/GCD.thy ~> src/HOL/
  1356     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  1357     src/HOL/Library/Parity.thy ~> src/HOL/
  1358     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  1359     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  1360     src/HOL/Real/Lubs.thy ~> src/HOL/
  1361     src/HOL/Real/PReal.thy ~> src/HOL/
  1362     src/HOL/Real/Rational.thy ~> src/HOL/
  1363     src/HOL/Real/RComplete.thy ~> src/HOL/
  1364     src/HOL/Real/RealDef.thy ~> src/HOL/
  1365     src/HOL/Real/RealPow.thy ~> src/HOL/
  1366     src/HOL/Real/Real.thy ~> src/HOL/
  1367     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  1368     src/HOL/Complex/Complex.thy ~> src/HOL/
  1369     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  1370     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  1371     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  1372     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  1373     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  1374     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  1375     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  1376     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  1377     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  1378     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  1379     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  1380     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  1381     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  1382     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  1383     src/HOL/Real/Float ~> src/HOL/Library/
  1384     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  1385     src/HOL/Real/RealVector.thy ~> src/HOL/
  1386 
  1387     src/HOL/arith_data.ML ~> src/HOL/Tools
  1388     src/HOL/hologic.ML ~> src/HOL/Tools
  1389     src/HOL/simpdata.ML ~> src/HOL/Tools
  1390     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  1391     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  1392     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  1393     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  1394     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  1395     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  1396     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  1397 
  1398     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  1399     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  1400     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  1401     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  1402     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  1403     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  1404 
  1405 * If methods "eval" and "evaluation" encounter a structured proof
  1406 state with !!/==>, only the conclusion is evaluated to True (if
  1407 possible), avoiding strange error messages.
  1408 
  1409 * Method "sizechange" automates termination proofs using (a
  1410 modification of) the size-change principle.  Requires SAT solver.  See
  1411 src/HOL/ex/Termination.thy for examples.
  1412 
  1413 * Simplifier: simproc for let expressions now unfolds if bound
  1414 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  1415 
  1416 * Method "arith": Linear arithmetic now ignores all inequalities when
  1417 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  1418 
  1419 * New attribute "arith" for facts that should always be used
  1420 automatically by arithmetic. It is intended to be used locally in
  1421 proofs, e.g.
  1422 
  1423   assumes [arith]: "x > 0"
  1424 
  1425 Global usage is discouraged because of possible performance impact.
  1426 
  1427 * New classes "top" and "bot" with corresponding operations "top" and
  1428 "bot" in theory Orderings; instantiation of class "complete_lattice"
  1429 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  1430 
  1431 * Changed definition lemma "less_fun_def" in order to provide an
  1432 instance for preorders on functions; use lemma "less_le" instead.
  1433 INCOMPATIBILITY.
  1434 
  1435 * Theory Orderings: class "wellorder" moved here, with explicit
  1436 induction rule "less_induct" as assumption.  For instantiation of
  1437 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  1438 INCOMPATIBILITY.
  1439 
  1440 * Theory Orderings: added class "preorder" as superclass of "order".
  1441 INCOMPATIBILITY: Instantiation proofs for order, linorder
  1442 etc. slightly changed.  Some theorems named order_class.* now named
  1443 preorder_class.*.
  1444 
  1445 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  1446 "diag" to "Id_on".
  1447 
  1448 * Theory Finite_Set: added a new fold combinator of type
  1449 
  1450   ('a => 'b => 'b) => 'b => 'a set => 'b
  1451 
  1452 Occasionally this is more convenient than the old fold combinator
  1453 which is now defined in terms of the new one and renamed to
  1454 fold_image.
  1455 
  1456 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  1457 and "ring_simps" have been replaced by "algebra_simps" (which can be
  1458 extended with further lemmas!).  At the moment both still exist but
  1459 the former will disappear at some point.
  1460 
  1461 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  1462 class recpower.  Type-specific simp rules for various recpower types
  1463 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  1464 
  1465 rat_power_0    -> power_0
  1466 rat_power_Suc  -> power_Suc
  1467 realpow_0      -> power_0
  1468 realpow_Suc    -> power_Suc
  1469 complexpow_0   -> power_0
  1470 complexpow_Suc -> power_Suc
  1471 power_poly_0   -> power_0
  1472 power_poly_Suc -> power_Suc
  1473 
  1474 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  1475 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  1476 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  1477 of lemmas from Divides has been generalized from nat to class
  1478 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  1479 renames resulting from duplicate elimination:
  1480 
  1481     dvd_def_mod ~>          dvd_eq_mod_eq_0
  1482     zero_dvd_iff ~>         dvd_0_left_iff
  1483     dvd_0 ~>                dvd_0_right
  1484     DIVISION_BY_ZERO_DIV ~> div_by_0
  1485     DIVISION_BY_ZERO_MOD ~> mod_by_0
  1486     mult_div ~>             div_mult_self2_is_id
  1487     mult_mod ~>             mod_mult_self2_is_0
  1488 
  1489 * Theory IntDiv: removed many lemmas that are instances of class-based
  1490 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  1491 rename old lemmas as follows:
  1492 
  1493 dvd_diff               -> nat_dvd_diff
  1494 dvd_zminus_iff         -> dvd_minus_iff
  1495 mod_add1_eq            -> mod_add_eq
  1496 mod_mult1_eq           -> mod_mult_right_eq
  1497 mod_mult1_eq'          -> mod_mult_left_eq
  1498 mod_mult_distrib_mod   -> mod_mult_eq
  1499 nat_mod_add_left_eq    -> mod_add_left_eq
  1500 nat_mod_add_right_eq   -> mod_add_right_eq
  1501 nat_mod_div_trivial    -> mod_div_trivial
  1502 nat_mod_mod_trivial    -> mod_mod_trivial
  1503 zdiv_zadd_self1        -> div_add_self1
  1504 zdiv_zadd_self2        -> div_add_self2
  1505 zdiv_zmult_self1       -> div_mult_self2_is_id
  1506 zdiv_zmult_self2       -> div_mult_self1_is_id
  1507 zdvd_triv_left         -> dvd_triv_left
  1508 zdvd_triv_right        -> dvd_triv_right
  1509 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  1510 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  1511 zmod_zadd_left_eq      -> mod_add_left_eq
  1512 zmod_zadd_right_eq     -> mod_add_right_eq
  1513 zmod_zadd_self1        -> mod_add_self1
  1514 zmod_zadd_self2        -> mod_add_self2
  1515 zmod_zadd1_eq          -> mod_add_eq
  1516 zmod_zdiff1_eq         -> mod_diff_eq
  1517 zmod_zdvd_zmod         -> mod_mod_cancel
  1518 zmod_zmod_cancel       -> mod_mod_cancel
  1519 zmod_zmult_self1       -> mod_mult_self2_is_0
  1520 zmod_zmult_self2       -> mod_mult_self1_is_0
  1521 zmod_1                 -> mod_by_1
  1522 zdiv_1                 -> div_by_1
  1523 zdvd_abs1              -> abs_dvd_iff
  1524 zdvd_abs2              -> dvd_abs_iff
  1525 zdvd_refl              -> dvd_refl
  1526 zdvd_trans             -> dvd_trans
  1527 zdvd_zadd              -> dvd_add
  1528 zdvd_zdiff             -> dvd_diff
  1529 zdvd_zminus_iff        -> dvd_minus_iff
  1530 zdvd_zminus2_iff       -> minus_dvd_iff
  1531 zdvd_zmultD            -> dvd_mult_right
  1532 zdvd_zmultD2           -> dvd_mult_left
  1533 zdvd_zmult_mono        -> mult_dvd_mono
  1534 zdvd_0_right           -> dvd_0_right
  1535 zdvd_0_left            -> dvd_0_left_iff
  1536 zdvd_1_left            -> one_dvd
  1537 zminus_dvd_iff         -> minus_dvd_iff
  1538 
  1539 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  1540 
  1541 * The real numbers offer decimal input syntax: 12.34 is translated
  1542 into 1234/10^2. This translation is not reversed upon output.
  1543 
  1544 * Theory Library/Polynomial defines an abstract type 'a poly of
  1545 univariate polynomials with coefficients of type 'a.  In addition to
  1546 the standard ring operations, it also supports div and mod.  Code
  1547 generation is also supported, using list-style constructors.
  1548 
  1549 * Theory Library/Inner_Product defines a class of real_inner for real
  1550 inner product spaces, with an overloaded operation inner :: 'a => 'a
  1551 => real.  Class real_inner is a subclass of real_normed_vector from
  1552 theory RealVector.
  1553 
  1554 * Theory Library/Product_Vector provides instances for the product
  1555 type 'a * 'b of several classes from RealVector and Inner_Product.
  1556 Definitions of addition, subtraction, scalar multiplication, norms,
  1557 and inner products are included.
  1558 
  1559 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  1560 addition to the field operations, numerals and case syntax are also
  1561 supported.
  1562 
  1563 * Theory Library/Diagonalize provides constructive version of Cantor's
  1564 first diagonalization argument.
  1565 
  1566 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  1567 zlcm (for int); carried together from various gcd/lcm developements in
  1568 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  1569 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  1570 may recover tupled syntax as follows:
  1571 
  1572     hide (open) const gcd
  1573     abbreviation gcd where
  1574       "gcd == (%(a, b). GCD.gcd a b)"
  1575     notation (output)
  1576       GCD.gcd ("gcd '(_, _')")
  1577 
  1578 The same works for lcm, zgcd, zlcm.
  1579 
  1580 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  1581 instantiations for algebraic structures.  Removed some duplicate
  1582 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  1583 
  1584 * ML antiquotation @{code} takes a constant as argument and generates
  1585 corresponding code in background and inserts name of the corresponding
  1586 resulting ML value/function/datatype constructor binding in place.
  1587 All occurrences of @{code} with a single ML block are generated
  1588 simultaneously.  Provides a generic and safe interface for
  1589 instrumentalizing code generation.  See
  1590 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  1591 In future you ought to refrain from ad-hoc compiling generated SML
  1592 code on the ML toplevel.  Note that (for technical reasons) @{code}
  1593 cannot refer to constants for which user-defined serializations are
  1594 set.  Refer to the corresponding ML counterpart directly in that
  1595 cases.
  1596 
  1597 * Command 'rep_datatype': instead of theorem names the command now
  1598 takes a list of terms denoting the constructors of the type to be
  1599 represented as datatype.  The characteristic theorems have to be
  1600 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  1601 have disappeared in favour of existing ones:
  1602 
  1603     unit_induct                 ~> unit.induct
  1604     prod_induct                 ~> prod.induct
  1605     sum_induct                  ~> sum.induct
  1606     Suc_Suc_eq                  ~> nat.inject
  1607     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  1608 
  1609 
  1610 *** HOL-Algebra ***
  1611 
  1612 * New locales for orders and lattices where the equivalence relation
  1613 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  1614 locales use a record structure with field eq for the equivalence.
  1615 
  1616 * New theory of factorial domains.
  1617 
  1618 * Units_l_inv and Units_r_inv are now simp rules by default.
  1619 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  1620 and/or r_inv will now also require deletion of these lemmas.
  1621 
  1622 * Renamed the following theorems, INCOMPATIBILITY:
  1623 
  1624 UpperD ~> Upper_memD
  1625 LowerD ~> Lower_memD
  1626 least_carrier ~> least_closed
  1627 greatest_carrier ~> greatest_closed
  1628 greatest_Lower_above ~> greatest_Lower_below
  1629 one_zero ~> carrier_one_zero
  1630 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  1631 
  1632 
  1633 *** HOL-Nominal ***
  1634 
  1635 * Nominal datatypes can now contain type-variables.
  1636 
  1637 * Commands 'nominal_inductive' and 'equivariance' work with local
  1638 theory targets.
  1639 
  1640 * Nominal primrec can now works with local theory targets and its
  1641 specification syntax now conforms to the general format as seen in
  1642 'inductive' etc.
  1643 
  1644 * Method "perm_simp" honours the standard simplifier attributes
  1645 (no_asm), (no_asm_use) etc.
  1646 
  1647 * The new predicate #* is defined like freshness, except that on the
  1648 left hand side can be a set or list of atoms.
  1649 
  1650 * Experimental command 'nominal_inductive2' derives strong induction
  1651 principles for inductive definitions.  In contrast to
  1652 'nominal_inductive', which can only deal with a fixed number of
  1653 binders, it can deal with arbitrary expressions standing for sets of
  1654 atoms to be avoided.  The only inductive definition we have at the
  1655 moment that needs this generalisation is the typing rule for Lets in
  1656 the algorithm W:
  1657 
  1658  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  1659  -----------------------------------------------------------------
  1660          Gamma |- Let x be t1 in t2 : T2
  1661 
  1662 In this rule one wants to avoid all the binders that are introduced by
  1663 "close Gamma T1".  We are looking for other examples where this
  1664 feature might be useful.  Please let us know.
  1665 
  1666 
  1667 *** HOLCF ***
  1668 
  1669 * Reimplemented the simplification procedure for proving continuity
  1670 subgoals.  The new simproc is extensible; users can declare additional
  1671 continuity introduction rules with the attribute [cont2cont].
  1672 
  1673 * The continuity simproc now uses a different introduction rule for
  1674 solving continuity subgoals on terms with lambda abstractions.  In
  1675 some rare cases the new simproc may fail to solve subgoals that the
  1676 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  1677 Potential INCOMPATIBILITY.
  1678 
  1679 * Command 'fixrec': specification syntax now conforms to the general
  1680 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  1681 examples.  INCOMPATIBILITY.
  1682 
  1683 
  1684 *** ZF ***
  1685 
  1686 * Proof of Zorn's Lemma for partial orders.
  1687 
  1688 
  1689 *** ML ***
  1690 
  1691 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  1692 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  1693 depends on multithreading, so timouts will not work before Poly/ML
  1694 5.2.1!
  1695 
  1696 * High-level support for concurrent ML programming, see
  1697 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  1698 particularly convenient to organize independent functional
  1699 computations.  The concept of "synchronized variables" provides a
  1700 higher-order interface for components with shared state, avoiding the
  1701 delicate details of mutexes and condition variables.  (Requires
  1702 Poly/ML 5.2.1 or later.)
  1703 
  1704 * ML bindings produced via Isar commands are stored within the Isar
  1705 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  1706 become thread-safe and work with undo as expected (concerning
  1707 top-level bindings, not side-effects on global references).
  1708 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  1709 compiler at runtime; really global bindings need to be given outside a
  1710 theory.  (Requires Poly/ML 5.2 or later.)
  1711 
  1712 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  1713 context.  Top-level ML bindings are stored within the proof context in
  1714 a purely sequential fashion, disregarding the nested proof structure.
  1715 ML bindings introduced by 'ML_prf' are discarded at the end of the
  1716 proof.  (Requires Poly/ML 5.2 or later.)
  1717 
  1718 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  1719 and Method.setup, as well as Isar commands 'attribute_setup' and
  1720 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  1721 existing code accordingly, or use plain 'setup' together with old
  1722 Method.add_method.
  1723 
  1724 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  1725 to 'a -> thm, while results are always tagged with an authentic oracle
  1726 name.  The Isar command 'oracle' is now polymorphic, no argument type
  1727 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  1728 accordingly.  Note that extra performance may be gained by producing
  1729 the cterm carefully, avoiding slow Thm.cterm_of.
  1730 
  1731 * Simplified interface for defining document antiquotations via
  1732 ThyOutput.antiquotation, ThyOutput.output, and optionally
  1733 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  1734 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  1735 examples.
  1736 
  1737 * More systematic treatment of long names, abstract name bindings, and
  1738 name space operations.  Basic operations on qualified names have been
  1739 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  1740 Long_Name.append.  Old type bstring has been mostly replaced by
  1741 abstract type binding (see structure Binding), which supports precise
  1742 qualification by packages and local theory targets, as well as proper
  1743 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  1744 bstring values into Binding.name, or better pass through abstract
  1745 bindings everywhere.  See further src/Pure/General/long_name.ML,
  1746 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  1747 
  1748 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  1749 LocalTheory.note etc.) now refer to the *full* internal name, not the
  1750 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  1751 
  1752 * Disposed old type and term read functions (Sign.read_def_typ,
  1753 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  1754 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  1755 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  1756 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  1757 resort for legacy applications.
  1758 
  1759 * Disposed old declarations, tactics, tactic combinators that refer to
  1760 the simpset or claset of an implicit theory (such as Addsimps,
  1761 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  1762 embedded ML text, or local_simpset_of with a proper context passed as
  1763 explicit runtime argument.
  1764 
  1765 * Rules and tactics that read instantiations (read_instantiate,
  1766 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  1767 context, which is required for parsing and type-checking.  Moreover,
  1768 the variables are specified as plain indexnames, not string encodings
  1769 thereof.  INCOMPATIBILITY.
  1770 
  1771 * Generic Toplevel.add_hook interface allows to analyze the result of
  1772 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  1773 for theorem dependency output of transactions resulting in a new
  1774 theory state.
  1775 
  1776 * ML antiquotations: block-structured compilation context indicated by
  1777 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  1778 
  1779   @{binding name}                         - basic name binding
  1780   @{let ?pat = term}                      - term abbreviation (HO matching)
  1781   @{note name = fact}                     - fact abbreviation
  1782   @{thm fact}                             - singleton fact (with attributes)
  1783   @{thms fact}                            - general fact (with attributes)
  1784   @{lemma prop by method}                 - singleton goal
  1785   @{lemma prop by meth1 meth2}            - singleton goal
  1786   @{lemma prop1 ... propN by method}      - general goal
  1787   @{lemma prop1 ... propN by meth1 meth2} - general goal
  1788   @{lemma (open) ...}                     - open derivation
  1789 
  1790 
  1791 *** System ***
  1792 
  1793 * The Isabelle "emacs" tool provides a specific interface to invoke
  1794 Proof General / Emacs, with more explicit failure if that is not
  1795 installed (the old isabelle-interface script silently falls back on
  1796 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  1797 installation location of the Proof General distribution.
  1798 
  1799 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  1800 the Isabelle process into a JVM/Scala application.  See
  1801 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  1802 process wrapper has been discontinued.)
  1803 
  1804 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  1805 
  1806 * Various status messages (with exact source position information) are
  1807 emitted, if proper markup print mode is enabled.  This allows
  1808 user-interface components to provide detailed feedback on internal
  1809 prover operations.
  1810 
  1811 
  1812 
  1813 New in Isabelle2008 (June 2008)
  1814 -------------------------------
  1815 
  1816 *** General ***
  1817 
  1818 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  1819 and updated, with formally checked references as hyperlinks.
  1820 
  1821 * Theory loader: use_thy (and similar operations) no longer set the
  1822 implicit ML context, which was occasionally hard to predict and in
  1823 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  1824 provides a proper context already.
  1825 
  1826 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1827 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  1828 'use' within a theory file will do the job.
  1829 
  1830 * Name space merge now observes canonical order, i.e. the second space
  1831 is inserted into the first one, while existing entries in the first
  1832 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  1833 swap theory imports.
  1834 
  1835 * Syntax: symbol \<chi> is now considered a letter.  Potential
  1836 INCOMPATIBILITY in identifier syntax etc.
  1837 
  1838 * Outer syntax: string tokens no longer admit escaped white space,
  1839 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  1840 white space without escapes.
  1841 
  1842 * Outer syntax: string tokens may contain arbitrary character codes
  1843 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  1844 "foo_bar".
  1845 
  1846 
  1847 *** Pure ***
  1848 
  1849 * Context-dependent token translations.  Default setup reverts locally
  1850 fixed variables, and adds hilite markup for undeclared frees.
  1851 
  1852 * Unused theorems can be found using the new command 'unused_thms'.
  1853 There are three ways of invoking it:
  1854 
  1855 (1) unused_thms
  1856      Only finds unused theorems in the current theory.
  1857 
  1858 (2) unused_thms thy_1 ... thy_n -
  1859      Finds unused theorems in the current theory and all of its ancestors,
  1860      excluding the theories thy_1 ... thy_n and all of their ancestors.
  1861 
  1862 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  1863      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  1864      their ancestors, excluding the theories thy_1 ... thy_n and all of
  1865      their ancestors.
  1866 
  1867 In order to increase the readability of the list produced by
  1868 unused_thms, theorems that have been created by a particular instance
  1869 of a theory command such as 'inductive' or 'function' are considered
  1870 to belong to the same "group", meaning that if at least one theorem in
  1871 this group is used, the other theorems in the same group are no longer
  1872 reported as unused.  Moreover, if all theorems in the group are
  1873 unused, only one theorem in the group is displayed.
  1874 
  1875 Note that proof objects have to be switched on in order for
  1876 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  1877 usually the case when using Proof General with the default settings).
  1878 
  1879 * Authentic naming of facts disallows ad-hoc overwriting of previous
  1880 theorems within the same name space.  INCOMPATIBILITY, need to remove
  1881 duplicate fact bindings, or even accidental fact duplications.  Note
  1882 that tools may maintain dynamically scoped facts systematically, using
  1883 PureThy.add_thms_dynamic.
  1884 
  1885 * Command 'hide' now allows to hide from "fact" name space as well.
  1886 
  1887 * Eliminated destructive theorem database, simpset, claset, and
  1888 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  1889 update of theories within ML code.
  1890 
  1891 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  1892 INCOMPATIBILITY, object-logics depending on former Pure require
  1893 additional setup PureThy.old_appl_syntax_setup; object-logics
  1894 depending on former CPure need to refer to Pure.
  1895 
  1896 * Commands 'use' and 'ML' are now purely functional, operating on
  1897 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  1898 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  1899 INCOMPATIBILITY.
  1900 
  1901 * Command 'setup': discontinued implicit version with ML reference.
  1902 
  1903 * Instantiation target allows for simultaneous specification of class
  1904 instance operations together with an instantiation proof.
  1905 Type-checking phase allows to refer to class operations uniformly.
  1906 See src/HOL/Complex/Complex.thy for an Isar example and
  1907 src/HOL/Library/Eval.thy for an ML example.
  1908 
  1909 * Indexing of literal facts: be more serious about including only
  1910 facts from the visible specification/proof context, but not the
  1911 background context (locale etc.).  Affects `prop` notation and method
  1912 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  1913 situations.
  1914 
  1915 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  1916 "(open)" option, which used to expose internal bound variables to the
  1917 proof text.
  1918 
  1919 * Isar statements: removed obsolete case "rule_context".
  1920 INCOMPATIBILITY, better use explicit fixes/assumes.
  1921 
  1922 * Locale proofs: default proof step now includes 'unfold_locales';
  1923 hence 'proof' without argument may be used to unfold locale
  1924 predicates.
  1925 
  1926 
  1927 *** Document preparation ***
  1928 
  1929 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  1930 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  1931 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  1932 spot); renamed link color from "darkblue" to "linkcolor" (default
  1933 value unchanged, can be redefined via \definecolor); no longer sets
  1934 "a4paper" option (unnecessary or even intrusive).
  1935 
  1936 * Antiquotation @{lemma A method} proves proposition A by the given
  1937 method (either a method name or a method name plus (optional) method
  1938 arguments in parentheses) and prints A just like @{prop A}.
  1939 
  1940 
  1941 *** HOL ***
  1942 
  1943 * New primrec package.  Specification syntax conforms in style to
  1944 definition/function/....  No separate induction rule is provided.  The
  1945 "primrec" command distinguishes old-style and new-style specifications
  1946 by syntax.  The former primrec package is now named OldPrimrecPackage.
  1947 When adjusting theories, beware: constants stemming from new-style
  1948 primrec specifications have authentic syntax.
  1949 
  1950 * Metis prover is now an order of magnitude faster, and also works
  1951 with multithreading.
  1952 
  1953 * Metis: the maximum number of clauses that can be produced from a
  1954 theorem is now given by the attribute max_clauses.  Theorems that
  1955 exceed this number are ignored, with a warning printed.
  1956 
  1957 * Sledgehammer no longer produces structured proofs by default. To
  1958 enable, declare [[sledgehammer_full = true]].  Attributes
  1959 reconstruction_modulus, reconstruction_sorts renamed
  1960 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  1961 
  1962 * Method "induct_scheme" derives user-specified induction rules
  1963 from well-founded induction and completeness of patterns. This factors
  1964 out some operations that are done internally by the function package
  1965 and makes them available separately.  See
  1966 src/HOL/ex/Induction_Scheme.thy for examples.
  1967 
  1968 * More flexible generation of measure functions for termination
  1969 proofs: Measure functions can be declared by proving a rule of the
  1970 form "is_measure f" and giving it the [measure_function] attribute.
  1971 The "is_measure" predicate is logically meaningless (always true), and
  1972 just guides the heuristic.  To find suitable measure functions, the
  1973 termination prover sets up the goal "is_measure ?f" of the appropriate
  1974 type and generates all solutions by prolog-style backwards proof using
  1975 the declared rules.
  1976 
  1977 This setup also deals with rules like 
  1978 
  1979   "is_measure f ==> is_measure (list_size f)"
  1980 
  1981 which accommodates nested datatypes that recurse through lists.
  1982 Similar rules are predeclared for products and option types.
  1983 
  1984 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  1985 
  1986   INCOMPATIBILITIES:
  1987 
  1988   - Definitions of overloaded constants on sets have to be replaced by
  1989     definitions on => and bool.
  1990 
  1991   - Some definitions of overloaded operators on sets can now be proved
  1992     using the definitions of the operators on => and bool.  Therefore,
  1993     the following theorems have been renamed:
  1994 
  1995       subset_def   -> subset_eq
  1996       psubset_def  -> psubset_eq
  1997       set_diff_def -> set_diff_eq
  1998       Compl_def    -> Compl_eq
  1999       Sup_set_def  -> Sup_set_eq
  2000       Inf_set_def  -> Inf_set_eq
  2001       sup_set_def  -> sup_set_eq
  2002       inf_set_def  -> inf_set_eq
  2003 
  2004   - Due to the incompleteness of the HO unification algorithm, some
  2005     rules such as subst may require manual instantiation, if some of
  2006     the unknowns in the rule is a set.
  2007 
  2008   - Higher order unification and forward proofs:
  2009     The proof pattern
  2010 
  2011       have "P (S::'a set)" <...>
  2012       then have "EX S. P S" ..
  2013 
  2014     no longer works (due to the incompleteness of the HO unification
  2015     algorithm) and must be replaced by the pattern
  2016 
  2017       have "EX S. P S"
  2018       proof
  2019         show "P S" <...>
  2020       qed
  2021 
  2022   - Calculational reasoning with subst (or similar rules):
  2023     The proof pattern
  2024 
  2025       have "P (S::'a set)" <...>
  2026       also have "S = T" <...>
  2027       finally have "P T" .
  2028 
  2029     no longer works (for similar reasons as the previous example) and
  2030     must be replaced by something like
  2031 
  2032       have "P (S::'a set)" <...>
  2033       moreover have "S = T" <...>
  2034       ultimately have "P T" by simp
  2035 
  2036   - Tactics or packages written in ML code:
  2037     Code performing pattern matching on types via
  2038 
  2039       Type ("set", [T]) => ...
  2040 
  2041     must be rewritten. Moreover, functions like strip_type or
  2042     binder_types no longer return the right value when applied to a
  2043     type of the form
  2044 
  2045       T1 => ... => Tn => U => bool
  2046 
  2047     rather than
  2048 
  2049       T1 => ... => Tn => U set
  2050 
  2051 * Merged theories Wellfounded_Recursion, Accessible_Part and
  2052 Wellfounded_Relations to theory Wellfounded.
  2053 
  2054 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  2055 
  2056 * Class finite no longer treats UNIV as class parameter.  Use class
  2057 enum from theory Library/Enum instead to achieve a similar effect.
  2058 INCOMPATIBILITY.
  2059 
  2060 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  2061 and "Cons".  INCOMPATIBILITY.
  2062 
  2063 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  2064 Potential INCOMPATIBILITY.
  2065 
  2066 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  2067 injective_fst_snd removed, use split_eta and prod_eqI instead.
  2068 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  2069 
  2070 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  2071 the same name in theory Orderings:
  2072 
  2073   less_trans
  2074   less_linear
  2075   le_imp_less_or_eq
  2076   le_less_trans
  2077   less_le_trans
  2078   less_not_sym
  2079   less_asym
  2080 
  2081 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  2082 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  2083 and different variable names.
  2084 
  2085 * Library/Option_ord.thy: Canonical order on option type.
  2086 
  2087 * Library/RBT.thy: Red-black trees, an efficient implementation of
  2088 finite maps.
  2089 
  2090 * Library/Countable.thy: Type class for countable types.
  2091 
  2092 * Theory Int: The representation of numerals has changed.  The infix
  2093 operator BIT and the bit datatype with constructors B0 and B1 have
  2094 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  2095 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  2096 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  2097 accordingly.
  2098 
  2099 * Theory Nat: definition of <= and < on natural numbers no longer
  2100 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  2101 le_def and less_def have disappeared.  Consider lemmas not_less
  2102 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  2103 
  2104 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  2105 (whose purpose mainly is for various fold_set functionals) have been
  2106 abandoned in favor of the existing algebraic classes
  2107 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  2108 lower_semilattice (resp. upper_semilattice) and linorder.
  2109 INCOMPATIBILITY.
  2110 
  2111 * Theory Transitive_Closure: induct and cases rules now declare proper
  2112 case_names ("base" and "step").  INCOMPATIBILITY.
  2113 
  2114 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  2115 lattices.  The form set-specific version is available as
  2116 Inductive.lfp_ordinal_induct_set.
  2117 
  2118 * Renamed theorems "power.simps" to "power_int.simps".
  2119 INCOMPATIBILITY.
  2120 
  2121 * Class semiring_div provides basic abstract properties of semirings
  2122 with division and modulo operations.  Subsumes former class dvd_mod.
  2123 
  2124 * Merged theories IntDef, Numeral and IntArith into unified theory
  2125 Int.  INCOMPATIBILITY.
  2126 
  2127 * Theory Library/Code_Index: type "index" now represents natural
  2128 numbers rather than integers.  INCOMPATIBILITY.
  2129 
  2130 * New class "uminus" with operation "uminus" (split of from class
  2131 "minus" which now only has operation "minus", binary).
  2132 INCOMPATIBILITY.
  2133 
  2134 * Constants "card", "internal_split", "option_map" now with authentic
  2135 syntax.  INCOMPATIBILITY.
  2136 
  2137 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  2138 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  2139 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  2140 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  2141 Sup_set_def, le_def, less_def, option_map_def now with object
  2142 equality.  INCOMPATIBILITY.
  2143 
  2144 * Records. Removed K_record, and replaced it by pure lambda term
  2145 %x. c. The simplifier setup is now more robust against eta expansion.
  2146 INCOMPATIBILITY: in cases explicitly referring to K_record.
  2147 
  2148 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  2149 
  2150 * Library/ListVector: new theory of arithmetic vector operations.
  2151 
  2152 * Library/Order_Relation: new theory of various orderings as sets of
  2153 pairs.  Defines preorders, partial orders, linear orders and
  2154 well-orders on sets and on types.
  2155 
  2156 
  2157 *** ZF ***
  2158 
  2159 * Renamed some theories to allow to loading both ZF and HOL in the
  2160 same session:
  2161 
  2162   Datatype  -> Datatype_ZF
  2163   Inductive -> Inductive_ZF
  2164   Int       -> Int_ZF
  2165   IntDiv    -> IntDiv_ZF
  2166   Nat       -> Nat_ZF
  2167   List      -> List_ZF
  2168   Main      -> Main_ZF
  2169 
  2170 INCOMPATIBILITY: ZF theories that import individual theories below
  2171 Main might need to be adapted.  Regular theory Main is still
  2172 available, as trivial extension of Main_ZF.
  2173 
  2174 
  2175 *** ML ***
  2176 
  2177 * ML within Isar: antiquotation @{const name} or @{const
  2178 name(typargs)} produces statically-checked Const term.
  2179 
  2180 * Functor NamedThmsFun: data is available to the user as dynamic fact
  2181 (of the same name).  Removed obsolete print command.
  2182 
  2183 * Removed obsolete "use_legacy_bindings" function.
  2184 
  2185 * The ``print mode'' is now a thread-local value derived from a global
  2186 template (the former print_mode reference), thus access becomes
  2187 non-critical.  The global print_mode reference is for session
  2188 management only; user-code should use print_mode_value,
  2189 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  2190 
  2191 * Functions system/system_out provide a robust way to invoke external
  2192 shell commands, with propagation of interrupts (requires Poly/ML
  2193 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  2194 
  2195 
  2196 *** System ***
  2197 
  2198 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  2199 in accordance with Proof General 3.7, which prefers GNU emacs.
  2200 
  2201 * isatool tty runs Isabelle process with plain tty interaction;
  2202 optional line editor may be specified via ISABELLE_LINE_EDITOR
  2203 setting, the default settings attempt to locate "ledit" and "rlwrap".
  2204 
  2205 * isatool browser now works with Cygwin as well, using general
  2206 "javapath" function defined in Isabelle process environment.
  2207 
  2208 * YXML notation provides a simple and efficient alternative to
  2209 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  2210 isatool yxml as described in the Isabelle system manual.
  2211 
  2212 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  2213 provides general wrapper for managing an Isabelle process in a robust
  2214 fashion, with ``cooked'' output from stdin/stderr.
  2215 
  2216 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  2217 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  2218 
  2219 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  2220 way of changing the user's settings is via
  2221 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  2222 script.
  2223 
  2224 * Multithreading.max_threads := 0 refers to the number of actual CPU
  2225 cores of the underlying machine, which is a good starting point for
  2226 optimal performance tuning.  The corresponding usedir option -M allows
  2227 "max" as an alias for "0".  WARNING: does not work on certain versions
  2228 of Mac OS (with Poly/ML 5.1).
  2229 
  2230 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  2231 adverse effect of Isabelle flooding interactive front-ends (notably
  2232 ProofGeneral / XEmacs).
  2233 
  2234 
  2235 
  2236 New in Isabelle2007 (November 2007)
  2237 -----------------------------------
  2238 
  2239 *** General ***
  2240 
  2241 * More uniform information about legacy features, notably a
  2242 warning/error of "Legacy feature: ...", depending on the state of the
  2243 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  2244 legacy features will disappear eventually.
  2245 
  2246 * Theory syntax: the header format ``theory A = B + C:'' has been
  2247 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  2248 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  2249 
  2250 * Theory syntax: the old non-Isar theory file format has been
  2251 discontinued altogether.  Note that ML proof scripts may still be used
  2252 with Isar theories; migration is usually quite simple with the ML
  2253 function use_legacy_bindings.  INCOMPATIBILITY.
  2254 
  2255 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  2256 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  2257 quotes.
  2258 
  2259 * Theory loader: be more serious about observing the static theory
  2260 header specifications (including optional directories), but not the
  2261 accidental file locations of previously successful loads.  The strict
  2262 update policy of former update_thy is now already performed by
  2263 use_thy, so the former has been removed; use_thys updates several
  2264 theories simultaneously, just as 'imports' within a theory header
  2265 specification, but without merging the results.  Potential
  2266 INCOMPATIBILITY: may need to refine theory headers and commands
  2267 ROOT.ML which depend on load order.
  2268 
  2269 * Theory loader: optional support for content-based file
  2270 identification, instead of the traditional scheme of full physical
  2271 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  2272 (cf. the system manual).  The new scheme allows to work with
  2273 non-finished theories in persistent session images, such that source
  2274 files may be moved later on without requiring reloads.
  2275 
  2276 * Theory loader: old-style ML proof scripts being *attached* to a thy
  2277 file (with the same base name as the theory) are considered a legacy
  2278 feature, which will disappear eventually. Even now, the theory loader
  2279 no longer maintains dependencies on such files.
  2280 
  2281 * Syntax: the scope for resolving ambiguities via type-inference is
  2282 now limited to individual terms, instead of whole simultaneous
  2283 specifications as before. This greatly reduces the complexity of the
  2284 syntax module and improves flexibility by separating parsing and
  2285 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  2286 'fixes' etc.) are required in rare situations.
  2287 
  2288 * Syntax: constants introduced by new-style packages ('definition',
  2289 'abbreviation' etc.) are passed through the syntax module in
  2290 ``authentic mode''. This means that associated mixfix annotations
  2291 really stick to such constants, independently of potential name space
  2292 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2293 trees are represented slightly differently, may need to adapt syntax
  2294 translations accordingly. Use CONST marker in 'translations' and
  2295 @{const_syntax} antiquotation in 'parse_translation' etc.
  2296 
  2297 * Legacy goal package: reduced interface to the bare minimum required
  2298 to keep existing proof scripts running.  Most other user-level
  2299 functions are now part of the OldGoals structure, which is *not* open
  2300 by default (consider isatool expandshort before open OldGoals).
  2301 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2302 these tend to cause confusion about the actual goal (!) context being
  2303 used here, which is not necessarily the same as the_context().
  2304 
  2305 * Command 'find_theorems': supports "*" wild-card in "name:"
  2306 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2307 support a specific search form (see ProofGeneral/CHANGES).
  2308 
  2309 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2310 by default, which means that "prems" (and also "fixed variables") are
  2311 suppressed from proof state output.  Note that the ProofGeneral
  2312 settings mechanism allows to change and save options persistently, but
  2313 older versions of Isabelle will fail to start up if a negative prems
  2314 limit is imposed.
  2315 
  2316 * Local theory targets may be specified by non-nested blocks of
  2317 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2318 contain definitions, theorems etc., including any derived mechanism
  2319 that has been implemented on top of these primitives.  This concept
  2320 generalizes the existing ``theorem (in ...)'' towards more versatility
  2321 and scalability.
  2322 
  2323 * Proof General interface: proper undo of final 'end' command;
  2324 discontinued Isabelle/classic mode (ML proof scripts).
  2325 
  2326 
  2327 *** Document preparation ***
  2328 
  2329 * Added antiquotation @{theory name} which prints the given name,
  2330 after checking that it refers to a valid ancestor theory in the
  2331 current context.
  2332 
  2333 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2334 check the given source text as ML type/structure, printing verbatim.
  2335 
  2336 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  2337 "c args == rhs" given in the current context.  (Any number of
  2338 arguments may be given on the LHS.)
  2339 
  2340 
  2341 *** Pure ***
  2342 
  2343 * The 'class' package offers a combination of axclass and locale to
  2344 achieve Haskell-like type classes in Isabelle.  Definitions and
  2345 theorems within a class context produce both relative results (with
  2346 implicit parameters according to the locale context), and polymorphic
  2347 constants with qualified polymorphism (according to the class
  2348 context).  Within the body context of a 'class' target, a separate
  2349 syntax layer ("user space type system") takes care of converting
  2350 between global polymorphic consts and internal locale representation.
  2351 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  2352 "isatool doc classes" provides a tutorial.
  2353 
  2354 * Generic code generator framework allows to generate executable
  2355 code for ML and Haskell (including Isabelle classes).  A short usage
  2356 sketch:
  2357 
  2358     internal compilation:
  2359         export_code <list of constants (term syntax)> in SML
  2360     writing SML code to a file:
  2361         export_code <list of constants (term syntax)> in SML <filename>
  2362     writing OCaml code to a file:
  2363         export_code <list of constants (term syntax)> in OCaml <filename>
  2364     writing Haskell code to a bunch of files:
  2365         export_code <list of constants (term syntax)> in Haskell <filename>
  2366 
  2367     evaluating closed propositions to True/False using code generation:
  2368         method ``eval''
  2369 
  2370 Reasonable default setup of framework in HOL.
  2371 
  2372 Theorem attributs for selecting and transforming function equations theorems:
  2373 
  2374     [code fun]:        select a theorem as function equation for a specific constant
  2375     [code fun del]:    deselect a theorem as function equation for a specific constant
  2376     [code inline]:     select an equation theorem for unfolding (inlining) in place
  2377     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  2378 
  2379 User-defined serializations (target in {SML, OCaml, Haskell}):
  2380 
  2381     code_const <and-list of constants (term syntax)>
  2382       {(target) <and-list of const target syntax>}+
  2383 
  2384     code_type <and-list of type constructors>
  2385       {(target) <and-list of type target syntax>}+
  2386 
  2387     code_instance <and-list of instances>
  2388       {(target)}+
  2389         where instance ::= <type constructor> :: <class>
  2390 
  2391     code_class <and_list of classes>
  2392       {(target) <and-list of class target syntax>}+
  2393         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  2394 
  2395 code_instance and code_class only are effective to target Haskell.
  2396 
  2397 For example usage see src/HOL/ex/Codegenerator.thy and
  2398 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  2399 generation from Isabelle/HOL theories is available via "isatool doc
  2400 codegen".
  2401 
  2402 * Code generator: consts in 'consts_code' Isar commands are now
  2403 referred to by usual term syntax (including optional type
  2404 annotations).
  2405 
  2406 * Command 'no_translations' removes translation rules from theory
  2407 syntax.
  2408 
  2409 * Overloaded definitions are now actually checked for acyclic
  2410 dependencies.  The overloading scheme is slightly more general than
  2411 that of Haskell98, although Isabelle does not demand an exact
  2412 correspondence to type class and instance declarations.
  2413 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  2414 exotic versions of overloading -- at the discretion of the user!
  2415 
  2416 Polymorphic constants are represented via type arguments, i.e. the
  2417 instantiation that matches an instance against the most general
  2418 declaration given in the signature.  For example, with the declaration
  2419 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  2420 as c(nat).  Overloading is essentially simultaneous structural
  2421 recursion over such type arguments.  Incomplete specification patterns
  2422 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  2423 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  2424 Command 'print_theory' outputs the normalized system of recursive
  2425 equations, see section "definitions".
  2426 
  2427 * Configuration options are maintained within the theory or proof
  2428 context (with name and type bool/int/string), providing a very simple
  2429 interface to a poor-man's version of general context data.  Tools may
  2430 declare options in ML (e.g. using Attrib.config_int) and then refer to
  2431 these values using Config.get etc.  Users may change options via an
  2432 associated attribute of the same name.  This form of context
  2433 declaration works particularly well with commands 'declare' or
  2434 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  2435 very easy to avoid global references, which would not observe Isar
  2436 toplevel undo/redo and fail to work with multithreading.
  2437 
  2438 Various global ML references of Pure and HOL have been turned into
  2439 configuration options:
  2440 
  2441   Unify.search_bound		unify_search_bound
  2442   Unify.trace_bound		unify_trace_bound
  2443   Unify.trace_simp		unify_trace_simp
  2444   Unify.trace_types		unify_trace_types
  2445   Simplifier.simp_depth_limit	simp_depth_limit
  2446   Blast.depth_limit		blast_depth_limit
  2447   DatatypeProp.dtK		datatype_distinctness_limit
  2448   fast_arith_neq_limit  	fast_arith_neq_limit
  2449   fast_arith_split_limit	fast_arith_split_limit
  2450 
  2451 * Named collections of theorems may be easily installed as context
  2452 data using the functor NamedThmsFun (see also
  2453 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  2454 attributes; there is also a toplevel print command.  This facility is
  2455 just a common case of general context data, which is the preferred way
  2456 for anything more complex than just a list of facts in canonical
  2457 order.
  2458 
  2459 * Isar: command 'declaration' augments a local theory by generic
  2460 declaration functions written in ML.  This enables arbitrary content
  2461 being added to the context, depending on a morphism that tells the
  2462 difference of the original declaration context wrt. the application
  2463 context encountered later on.
  2464 
  2465 * Isar: proper interfaces for simplification procedures.  Command
  2466 'simproc_setup' declares named simprocs (with match patterns, and body
  2467 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  2468 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  2469 
  2470 * Isar: an extra pair of brackets around attribute declarations
  2471 abbreviates a theorem reference involving an internal dummy fact,
  2472 which will be ignored later --- only the effect of the attribute on
  2473 the background context will persist.  This form of in-place
  2474 declarations is particularly useful with commands like 'declare' and
  2475 'using', for example ``have A using [[simproc a]] by simp''.
  2476 
  2477 * Isar: method "assumption" (and implicit closing of subproofs) now
  2478 takes simple non-atomic goal assumptions into account: after applying
  2479 an assumption as a rule the resulting subgoals are solved by atomic
  2480 assumption steps.  This is particularly useful to finish 'obtain'
  2481 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  2482 without referring to the original premise "!!x. P x ==> thesis" in the
  2483 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  2484 more permissive.
  2485 
  2486 * Isar: implicit use of prems from the Isar proof context is
  2487 considered a legacy feature.  Common applications like ``have A .''
  2488 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  2489 referencing facts explicitly here improves readability and
  2490 maintainability of proof texts.
  2491 
  2492 * Isar: improper proof element 'guess' is like 'obtain', but derives
  2493 the obtained context from the course of reasoning!  For example:
  2494 
  2495   assume "EX x y. A x & B y"   -- "any previous fact"
  2496   then guess x and y by clarify
  2497 
  2498 This technique is potentially adventurous, depending on the facts and
  2499 proof tools being involved here.
  2500 
  2501 * Isar: known facts from the proof context may be specified as literal
  2502 propositions, using ASCII back-quote syntax.  This works wherever
  2503 named facts used to be allowed so far, in proof commands, proof
  2504 methods, attributes etc.  Literal facts are retrieved from the context
  2505 according to unification of type and term parameters.  For example,
  2506 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  2507 theorems in the current context, then these are valid literal facts:
  2508 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  2509 
  2510 There is also a proof method "fact" which does the same composition
  2511 for explicit goal states, e.g. the following proof texts coincide with
  2512 certain special cases of literal facts:
  2513 
  2514   have "A" by fact                 ==  note `A`
  2515   have "A ==> B" by fact           ==  note `A ==> B`
  2516   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  2517   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  2518 
  2519 * Isar: ":" (colon) is no longer a symbolic identifier character in
  2520 outer syntax.  Thus symbolic identifiers may be used without
  2521 additional white space in declarations like this: ``assume *: A''.
  2522 
  2523 * Isar: 'print_facts' prints all local facts of the current context,
  2524 both named and unnamed ones.
  2525 
  2526 * Isar: 'def' now admits simultaneous definitions, e.g.:
  2527 
  2528   def x == "t" and y == "u"
  2529 
  2530 * Isar: added command 'unfolding', which is structurally similar to
  2531 'using', but affects both the goal state and facts by unfolding given
  2532 rewrite rules.  Thus many occurrences of the 'unfold' method or
  2533 'unfolded' attribute may be replaced by first-class proof text.
  2534 
  2535 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  2536 and command 'unfolding' now all support object-level equalities
  2537 (potentially conditional).  The underlying notion of rewrite rule is
  2538 analogous to the 'rule_format' attribute, but *not* that of the
  2539 Simplifier (which is usually more generous).
  2540 
  2541 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  2542 premises of a theorem by n. Useful in conjunction with drule.
  2543 
  2544 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  2545 method expression within a sandbox consisting of the first N
  2546 sub-goals, which need to exist.  For example, ``simp_all [3]''
  2547 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  2548 simplifies all new goals that emerge from applying rule foo to the
  2549 originally first one.
  2550 
  2551 * Isar: schematic goals are no longer restricted to higher-order
  2552 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  2553 expected.
  2554 
  2555 * Isar: the conclusion of a long theorem statement is now either
  2556 'shows' (a simultaneous conjunction, as before), or 'obtains'
  2557 (essentially a disjunction of cases with local parameters and
  2558 assumptions).  The latter allows to express general elimination rules
  2559 adequately; in this notation common elimination rules look like this:
  2560 
  2561   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  2562     assumes "EX x. P x"
  2563     obtains x where "P x"
  2564 
  2565   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  2566     assumes "A & B"
  2567     obtains A and B
  2568 
  2569   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  2570     assumes "A | B"
  2571     obtains
  2572       A
  2573     | B
  2574 
  2575 The subsequent classical rules even refer to the formal "thesis"
  2576 explicitly:
  2577 
  2578   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  2579     obtains "~ thesis"
  2580 
  2581   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  2582     obtains "thesis ==> something"
  2583 
  2584 The actual proof of an 'obtains' statement is analogous to that of the
  2585 Isar proof element 'obtain', only that there may be several cases.
  2586 Optional case names may be specified in parentheses; these will be
  2587 available both in the present proof and as annotations in the
  2588 resulting rule, for later use with the 'cases' method (cf. attribute
  2589 case_names).
  2590 
  2591 * Isar: the assumptions of a long theorem statement are available as
  2592 "assms" fact in the proof context.  This is more appropriate than the
  2593 (historical) "prems", which refers to all assumptions of the current
  2594 context, including those from the target locale, proof body etc.
  2595 
  2596 * Isar: 'print_statement' prints theorems from the current theory or
  2597 proof context in long statement form, according to the syntax of a
  2598 top-level lemma.
  2599 
  2600 * Isar: 'obtain' takes an optional case name for the local context
  2601 introduction rule (default "that").
  2602 
  2603 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  2604 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  2605 to occur.
  2606 
  2607 * Pure: syntax "CONST name" produces a fully internalized constant
  2608 according to the current context.  This is particularly useful for
  2609 syntax translations that should refer to internal constant
  2610 representations independently of name spaces.
  2611 
  2612 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  2613 instead of "FOO ". This allows multiple binder declarations to coexist
  2614 in the same context.  INCOMPATIBILITY.
  2615 
  2616 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  2617 primitive that also works in a locale context (both for constants and
  2618 fixed variables). Type declaration and internal syntactic representation
  2619 of given constants retrieved from the context. Likewise, the
  2620 'no_notation' command allows to remove given syntax annotations from the
  2621 current context.
  2622 
  2623 * Isar/locales: new derived specification elements 'axiomatization',
  2624 'definition', 'abbreviation', which support type-inference, admit
  2625 object-level specifications (equality, equivalence).  See also the
  2626 isar-ref manual.  Examples:
  2627 
  2628   axiomatization
  2629     eq  (infix "===" 50) where
  2630     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  2631 
  2632   definition "f x y = x + y + 1"
  2633   definition g where "g x = f x x"
  2634 
  2635   abbreviation
  2636     neq  (infix "=!=" 50) where
  2637     "x =!= y == ~ (x === y)"
  2638 
  2639 These specifications may be also used in a locale context.  Then the
  2640 constants being introduced depend on certain fixed parameters, and the
  2641 constant name is qualified by the locale base name.  An internal
  2642 abbreviation takes care for convenient input and output, making the
  2643 parameters implicit and using the original short name.  See also
  2644 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  2645 entities from a monomorphic theory.
  2646 
  2647 Presently, abbreviations are only available 'in' a target locale, but
  2648 not inherited by general import expressions.  Also note that
  2649 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  2650 'translations' in common applications.  The "no_abbrevs" print mode
  2651 prevents folding of abbreviations in term output.
  2652 
  2653 Concrete syntax is attached to specified constants in internal form,
  2654 independently of name spaces.  The parse tree representation is
  2655 slightly different -- use 'notation' instead of raw 'syntax', and
  2656 'translations' with explicit "CONST" markup to accommodate this.
  2657 
  2658 * Pure/Isar: unified syntax for new-style specification mechanisms
  2659 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  2660 full type inference and dummy patterns ("_").  For example:
  2661 
  2662   definition "K x _ = x"
  2663 
  2664   inductive conj for A B
  2665   where "A ==> B ==> conj A B"
  2666 
  2667 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  2668 the current context.  Print mode "no_abbrevs" prevents inversion of
  2669 abbreviations on output.
  2670 
  2671 * Isar/locales: improved parameter handling: use of locales "var" and
  2672 "struct" no longer necessary; - parameter renamings are no longer
  2673 required to be injective.  For example, this allows to define
  2674 endomorphisms as locale endom = homom mult mult h.
  2675 
  2676 * Isar/locales: changed the way locales with predicates are defined.
  2677 Instead of accumulating the specification, the imported expression is
  2678 now an interpretation.  INCOMPATIBILITY: different normal form of
  2679 locale expressions.  In particular, in interpretations of locales with
  2680 predicates, goals repesenting already interpreted fragments are not
  2681 removed automatically.  Use methods `intro_locales' and
  2682 `unfold_locales'; see below.
  2683 
  2684 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  2685 provide backward reasoning on locales predicates.  The methods are
  2686 aware of interpretations and discharge corresponding goals.
  2687 `intro_locales' is less aggressive then `unfold_locales' and does not
  2688 unfold predicates to assumptions.
  2689 
  2690 * Isar/locales: the order in which locale fragments are accumulated
  2691 has changed.  This enables to override declarations from fragments due
  2692 to interpretations -- for example, unwanted simp rules.
  2693 
  2694 * Isar/locales: interpretation in theories and proof contexts has been
  2695 extended.  One may now specify (and prove) equations, which are
  2696 unfolded in interpreted theorems.  This is useful for replacing
  2697 defined concepts (constants depending on locale parameters) by
  2698 concepts already existing in the target context.  Example:
  2699 
  2700   interpretation partial_order ["op <= :: [int, int] => bool"]
  2701     where "partial_order.less (op <=) (x::int) y = (x < y)"
  2702 
  2703 Typically, the constant `partial_order.less' is created by a
  2704 definition specification element in the context of locale
  2705 partial_order.
  2706 
  2707 * Method "induct": improved internal context management to support
  2708 local fixes and defines on-the-fly. Thus explicit meta-level
  2709 connectives !!  and ==> are rarely required anymore in inductive goals
  2710 (using object-logic connectives for this purpose has been long
  2711 obsolete anyway). Common proof patterns are explained in
  2712 src/HOL/Induct/Common_Patterns.thy, see also
  2713 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  2714 examples.
  2715 
  2716 * Method "induct": improved handling of simultaneous goals. Instead of
  2717 introducing object-level conjunction, the statement is now split into
  2718 several conclusions, while the corresponding symbolic cases are nested
  2719 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  2720 see src/HOL/Induct/Common_Patterns.thy, for example.
  2721 
  2722 * Method "induct": mutual induction rules are now specified as a list
  2723 of rule sharing the same induction cases. HOL packages usually provide
  2724 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  2725 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  2726 mutual induction rules differently, i.e. like this:
  2727 
  2728   (induct rule: foo_bar.inducts)
  2729   (induct set: foo bar)
  2730   (induct pred: foo bar)
  2731   (induct type: foo bar)
  2732 
  2733 The ML function ProjectRule.projections turns old-style rules into the
  2734 new format.
  2735 
  2736 * Method "coinduct": dual of induction, see
  2737 src/HOL/Library/Coinductive_List.thy for various examples.
  2738 
  2739 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  2740 considered a legacy feature.
  2741 
  2742 * Attribute "symmetric" produces result with standardized schematic
  2743 variables (index 0).  Potential INCOMPATIBILITY.
  2744 
  2745 * Simplifier: by default the simplifier trace only shows top level
  2746 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  2747 default. Thus there is less danger of being flooded by the trace. The
  2748 trace indicates where parts have been suppressed.
  2749   
  2750 * Provers/classical: removed obsolete classical version of elim_format
  2751 attribute; classical elim/dest rules are now treated uniformly when
  2752 manipulating the claset.
  2753 
  2754 * Provers/classical: stricter checks to ensure that supplied intro,
  2755 dest and elim rules are well-formed; dest and elim rules must have at
  2756 least one premise.
  2757 
  2758 * Provers/classical: attributes dest/elim/intro take an optional
  2759 weight argument for the rule (just as the Pure versions).  Weights are
  2760 ignored by automated tools, but determine the search order of single
  2761 rule steps.
  2762 
  2763 * Syntax: input syntax now supports dummy variable binding "%_. b",
  2764 where the body does not mention the bound variable.  Note that dummy
  2765 patterns implicitly depend on their context of bounds, which makes
  2766 "{_. _}" match any set comprehension as expected.  Potential
  2767 INCOMPATIBILITY -- parse translations need to cope with syntactic
  2768 constant "_idtdummy" in the binding position.
  2769 
  2770 * Syntax: removed obsolete syntactic constant "_K" and its associated
  2771 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  2772 for example "A -> B" => "Pi A (%_. B)".
  2773 
  2774 * Pure: 'class_deps' command visualizes the subclass relation, using
  2775 the graph browser tool.
  2776 
  2777 * Pure: 'print_theory' now suppresses certain internal declarations by
  2778 default; use '!' option for full details.
  2779 
  2780 
  2781 *** HOL ***
  2782 
  2783 * Method "metis" proves goals by applying the Metis general-purpose
  2784 resolution prover (see also http://gilith.com/software/metis/).
  2785 Examples are in the directory MetisExamples.  WARNING: the
  2786 Isabelle/HOL-Metis integration does not yet work properly with
  2787 multi-threading.
  2788   
  2789 * Command 'sledgehammer' invokes external automatic theorem provers as
  2790 background processes.  It generates calls to the "metis" method if
  2791 successful. These can be pasted into the proof.  Users do not have to
  2792 wait for the automatic provers to return.  WARNING: does not really
  2793 work with multi-threading.
  2794 
  2795 * New "auto_quickcheck" feature tests outermost goal statements for
  2796 potential counter-examples.  Controlled by ML references
  2797 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  2798 5000 milliseconds).  Fails silently if statements is outside of
  2799 executable fragment, or any other codgenerator problem occurs.
  2800 
  2801 * New constant "undefined" with axiom "undefined x = undefined".
  2802 
  2803 * Added class "HOL.eq", allowing for code generation with polymorphic
  2804 equality.
  2805 
  2806 * Some renaming of class constants due to canonical name prefixing in
  2807 the new 'class' package:
  2808 
  2809     HOL.abs ~> HOL.abs_class.abs
  2810     HOL.divide ~> HOL.divide_class.divide
  2811     0 ~> HOL.zero_class.zero
  2812     1 ~> HOL.one_class.one
  2813     op + ~> HOL.plus_class.plus
  2814     op - ~> HOL.minus_class.minus
  2815     uminus ~> HOL.minus_class.uminus
  2816     op * ~> HOL.times_class.times
  2817     op < ~> HOL.ord_class.less
  2818     op <= > HOL.ord_class.less_eq
  2819     Nat.power ~> Power.power_class.power
  2820     Nat.size ~> Nat.size_class.size
  2821     Numeral.number_of ~> Numeral.number_class.number_of
  2822     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  2823     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  2824     Orderings.min ~> Orderings.ord_class.min
  2825     Orderings.max ~> Orderings.ord_class.max
  2826     Divides.op div ~> Divides.div_class.div
  2827     Divides.op mod ~> Divides.div_class.mod
  2828     Divides.op dvd ~> Divides.div_class.dvd
  2829 
  2830 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  2831 
  2832 a) User-defined constants using any of the names "plus", "minus",
  2833 "times", "less" or "less_eq". The standard syntax translations for
  2834 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  2835 names.
  2836 
  2837 b) Variables named "plus", "minus", "times", "less", "less_eq"
  2838 INCOMPATIBILITY: use more specific names.
  2839 
  2840 c) Permutative equations (e.g. "a + b = b + a")
  2841 Since the change of names also changes the order of terms, permutative
  2842 rewrite rules may get applied in a different order. Experience shows
  2843 that this is rarely the case (only two adaptions in the whole Isabelle
  2844 distribution).  INCOMPATIBILITY: rewrite proofs
  2845 
  2846 d) ML code directly refering to constant names
  2847 This in general only affects hand-written proof tactics, simprocs and
  2848 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  2849 Consider using @{const_name} antiquotation.
  2850 
  2851 * New class "default" with associated constant "default".
  2852 
  2853 * Function "sgn" is now overloaded and available on int, real, complex
  2854 (and other numeric types), using class "sgn".  Two possible defs of
  2855 sgn are given as equational assumptions in the classes sgn_if and
  2856 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  2857 INCOMPATIBILITY.
  2858 
  2859 * Locale "partial_order" now unified with class "order" (cf. theory
  2860 Orderings), added parameter "less".  INCOMPATIBILITY.
  2861 
  2862 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  2863 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  2864 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  2865 
  2866 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  2867 changed order of proof goals in instance proofs.
  2868 
  2869 * The transitivity reasoner for partial and linear orders is set up
  2870 for classes "order" and "linorder".  Instances of the reasoner are available
  2871 in all contexts importing or interpreting the corresponding locales.
  2872 Method "order" invokes the reasoner separately; the reasoner
  2873 is also integrated with the Simplifier as a solver.  Diagnostic
  2874 command 'print_orders' shows the available instances of the reasoner
  2875 in the current context.
  2876 
  2877 * Localized monotonicity predicate in theory "Orderings"; integrated
  2878 lemmas max_of_mono and min_of_mono with this predicate.
  2879 INCOMPATIBILITY.
  2880 
  2881 * Formulation of theorem "dense" changed slightly due to integration
  2882 with new class dense_linear_order.
  2883 
  2884 * Uniform lattice theory development in HOL.
  2885 
  2886     constants "meet" and "join" now named "inf" and "sup"
  2887     constant "Meet" now named "Inf"
  2888 
  2889     classes "meet_semilorder" and "join_semilorder" now named
  2890       "lower_semilattice" and "upper_semilattice"
  2891     class "lorder" now named "lattice"
  2892     class "comp_lat" now named "complete_lattice"
  2893 
  2894     Instantiation of lattice classes allows explicit definitions
  2895     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  2896 
  2897   INCOMPATIBILITY.  Theorem renames:
  2898 
  2899     meet_left_le            ~> inf_le1
  2900     meet_right_le           ~> inf_le2
  2901     join_left_le            ~> sup_ge1
  2902     join_right_le           ~> sup_ge2
  2903     meet_join_le            ~> inf_sup_ord
  2904     le_meetI                ~> le_infI
  2905     join_leI                ~> le_supI
  2906     le_meet                 ~> le_inf_iff
  2907     le_join                 ~> ge_sup_conv
  2908     meet_idempotent         ~> inf_idem
  2909     join_idempotent         ~> sup_idem
  2910     meet_comm               ~> inf_commute
  2911     join_comm               ~> sup_commute
  2912     meet_leI1               ~> le_infI1
  2913     meet_leI2               ~> le_infI2
  2914     le_joinI1               ~> le_supI1
  2915     le_joinI2               ~> le_supI2
  2916     meet_assoc              ~> inf_assoc
  2917     join_assoc              ~> sup_assoc
  2918     meet_left_comm          ~> inf_left_commute
  2919     meet_left_idempotent    ~> inf_left_idem
  2920     join_left_comm          ~> sup_left_commute
  2921     join_left_idempotent    ~> sup_left_idem
  2922     meet_aci                ~> inf_aci
  2923     join_aci                ~> sup_aci
  2924     le_def_meet             ~> le_iff_inf
  2925     le_def_join             ~> le_iff_sup
  2926     join_absorp2            ~> sup_absorb2
  2927     join_absorp1            ~> sup_absorb1
  2928     meet_absorp1            ~> inf_absorb1
  2929     meet_absorp2            ~> inf_absorb2
  2930     meet_join_absorp        ~> inf_sup_absorb
  2931     join_meet_absorp        ~> sup_inf_absorb
  2932     distrib_join_le         ~> distrib_sup_le
  2933     distrib_meet_le         ~> distrib_inf_le
  2934 
  2935     add_meet_distrib_left   ~> add_inf_distrib_left
  2936     add_join_distrib_left   ~> add_sup_distrib_left
  2937     is_join_neg_meet        ~> is_join_neg_inf
  2938     is_meet_neg_join        ~> is_meet_neg_sup
  2939     add_meet_distrib_right  ~> add_inf_distrib_right
  2940     add_join_distrib_right  ~> add_sup_distrib_right
  2941     add_meet_join_distribs  ~> add_sup_inf_distribs
  2942     join_eq_neg_meet        ~> sup_eq_neg_inf
  2943     meet_eq_neg_join        ~> inf_eq_neg_sup
  2944     add_eq_meet_join        ~> add_eq_inf_sup
  2945     meet_0_imp_0            ~> inf_0_imp_0
  2946     join_0_imp_0            ~> sup_0_imp_0
  2947     meet_0_eq_0             ~> inf_0_eq_0
  2948     join_0_eq_0             ~> sup_0_eq_0
  2949     neg_meet_eq_join        ~> neg_inf_eq_sup
  2950     neg_join_eq_meet        ~> neg_sup_eq_inf
  2951     join_eq_if              ~> sup_eq_if
  2952 
  2953     mono_meet               ~> mono_inf
  2954     mono_join               ~> mono_sup
  2955     meet_bool_eq            ~> inf_bool_eq
  2956     join_bool_eq            ~> sup_bool_eq
  2957     meet_fun_eq             ~> inf_fun_eq
  2958     join_fun_eq             ~> sup_fun_eq
  2959     meet_set_eq             ~> inf_set_eq
  2960     join_set_eq             ~> sup_set_eq
  2961     meet1_iff               ~> inf1_iff
  2962     meet2_iff               ~> inf2_iff
  2963     meet1I                  ~> inf1I
  2964     meet2I                  ~> inf2I
  2965     meet1D1                 ~> inf1D1
  2966     meet2D1                 ~> inf2D1
  2967     meet1D2                 ~> inf1D2
  2968     meet2D2                 ~> inf2D2
  2969     meet1E                  ~> inf1E
  2970     meet2E                  ~> inf2E
  2971     join1_iff               ~> sup1_iff
  2972     join2_iff               ~> sup2_iff
  2973     join1I1                 ~> sup1I1
  2974     join2I1                 ~> sup2I1
  2975     join1I1                 ~> sup1I1
  2976     join2I2                 ~> sup1I2
  2977     join1CI                 ~> sup1CI
  2978     join2CI                 ~> sup2CI
  2979     join1E                  ~> sup1E
  2980     join2E                  ~> sup2E
  2981 
  2982     is_meet_Meet            ~> is_meet_Inf
  2983     Meet_bool_def           ~> Inf_bool_def
  2984     Meet_fun_def            ~> Inf_fun_def
  2985     Meet_greatest           ~> Inf_greatest
  2986     Meet_lower              ~> Inf_lower
  2987     Meet_set_def            ~> Inf_set_def
  2988 
  2989     Sup_def                 ~> Sup_Inf
  2990     Sup_bool_eq             ~> Sup_bool_def
  2991     Sup_fun_eq              ~> Sup_fun_def
  2992     Sup_set_eq              ~> Sup_set_def
  2993 
  2994     listsp_meetI            ~> listsp_infI
  2995     listsp_meet_eq          ~> listsp_inf_eq
  2996 
  2997     meet_min                ~> inf_min
  2998     join_max                ~> sup_max
  2999 
  3000 * Added syntactic class "size"; overloaded constant "size" now has
  3001 type "'a::size ==> bool"
  3002 
  3003 * Internal reorganisation of `size' of datatypes: size theorems
  3004 "foo.size" are no longer subsumed by "foo.simps" (but are still
  3005 simplification rules by default!); theorems "prod.size" now named
  3006 "*.size".
  3007 
  3008 * Class "div" now inherits from class "times" rather than "type".
  3009 INCOMPATIBILITY.
  3010 
  3011 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  3012 Linorder etc.  have disappeared; operations defined in terms of
  3013 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  3014 
  3015 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  3016 
  3017 * HOL-Word: New extensive library and type for generic, fixed size
  3018 machine words, with arithemtic, bit-wise, shifting and rotating
  3019 operations, reflection into int, nat, and bool lists, automation for
  3020 linear arithmetic (by automatic reflection into nat or int), including
  3021 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  3022 arithmetic type classes, supporting automatic simplification of
  3023 numerals on all operations.
  3024 
  3025 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  3026 
  3027 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  3028 
  3029 * Code generator library theories:
  3030   - Code_Integer represents HOL integers by big integer literals in target
  3031     languages.
  3032   - Code_Char represents HOL characters by character literals in target
  3033     languages.
  3034   - Code_Char_chr like Code_Char, but also offers treatment of character
  3035     codes; includes Code_Integer.
  3036   - Executable_Set allows to generate code for finite sets using lists.
  3037   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  3038     denominator).
  3039   - Executable_Real implements a subset of real numbers, namly those
  3040     representable by rational numbers.
  3041   - Efficient_Nat implements natural numbers by integers, which in general will
  3042     result in higher efficency; pattern matching with 0/Suc is eliminated;
  3043     includes Code_Integer.
  3044   - Code_Index provides an additional datatype index which is mapped to
  3045     target-language built-in integers.
  3046   - Code_Message provides an additional datatype message_string which is isomorphic to
  3047     strings; messages are mapped to target-language strings.
  3048 
  3049 * New package for inductive predicates
  3050 
  3051   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  3052 
  3053     inductive
  3054       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3055       for z_1 :: U_1 and ... and z_n :: U_m
  3056     where
  3057       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3058     | ...
  3059 
  3060   with full support for type-inference, rather than
  3061 
  3062     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3063 
  3064     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3065     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3066 
  3067     inductive "s z_1 ... z_m"
  3068     intros
  3069       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3070       ...
  3071 
  3072   For backward compatibility, there is a wrapper allowing inductive
  3073   sets to be defined with the new package via
  3074 
  3075     inductive_set
  3076       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3077       for z_1 :: U_1 and ... and z_n :: U_m
  3078     where
  3079       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  3080     | ...
  3081 
  3082   or
  3083 
  3084     inductive_set
  3085       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  3086       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  3087       for z_1 :: U_1 and ... and z_n :: U_m
  3088     where
  3089       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  3090     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  3091     | ...
  3092 
  3093   if the additional syntax "p ..." is required.
  3094 
  3095   Numerous examples can be found in the subdirectories src/HOL/Auth,
  3096   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  3097 
  3098   INCOMPATIBILITIES:
  3099 
  3100   - Since declaration and definition of inductive sets or predicates
  3101     is no longer separated, abbreviations involving the newly
  3102     introduced sets or predicates must be specified together with the
  3103     introduction rules after the 'where' keyword (see above), rather
  3104     than before the actual inductive definition.
  3105 
  3106   - The variables in induction and elimination rules are now
  3107     quantified in the order of their occurrence in the introduction
  3108     rules, rather than in alphabetical order. Since this may break
  3109     some proofs, these proofs either have to be repaired, e.g. by
  3110     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  3111     statements of the form
  3112 
  3113       case (rule_i a_i_1 ... a_i_{k_i})
  3114 
  3115     or the old order of quantification has to be restored by explicitly adding
  3116     meta-level quantifiers in the introduction rules, i.e.
  3117 
  3118       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  3119 
  3120   - The format of the elimination rules is now
  3121 
  3122       p z_1 ... z_m x_1 ... x_n ==>
  3123         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3124         ==> ... ==> P
  3125 
  3126     for predicates and
  3127 
  3128       (x_1, ..., x_n) : s z_1 ... z_m ==>
  3129         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  3130         ==> ... ==> P
  3131 
  3132     for sets rather than
  3133 
  3134       x : s z_1 ... z_m ==>
  3135         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  3136         ==> ... ==> P
  3137 
  3138     This may require terms in goals to be expanded to n-tuples
  3139     (e.g. using case_tac or simplification with the split_paired_all
  3140     rule) before the above elimination rule is applicable.
  3141 
  3142   - The elimination or case analysis rules for (mutually) inductive
  3143     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  3144     list of rules "p_1_..._p_k.elims" is no longer available.
  3145 
  3146 * New package "function"/"fun" for general recursive functions,
  3147 supporting mutual and nested recursion, definitions in local contexts,
  3148 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  3149 for small examples, and the separate tutorial on the function
  3150 package. The old recdef "package" is still available as before, but
  3151 users are encouraged to use the new package.
  3152 
  3153 * Method "lexicographic_order" automatically synthesizes termination
  3154 relations as lexicographic combinations of size measures. 
  3155 
  3156 * Case-expressions allow arbitrary constructor-patterns (including
  3157 "_") and take their order into account, like in functional
  3158 programming.  Internally, this is translated into nested
  3159 case-expressions; missing cases are added and mapped to the predefined
  3160 constant "undefined". In complicated cases printing may no longer show
  3161 the original input but the internal form. Lambda-abstractions allow
  3162 the same form of pattern matching: "% pat1 => e1 | ..." is an
  3163 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  3164 variable.
  3165 
  3166 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  3167 is an abbreviation for "of_nat :: nat => int". The simplification
  3168 rules for "of_nat" have been changed to work like "int" did
  3169 previously.  Potential INCOMPATIBILITY:
  3170   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  3171   - of_nat_diff and of_nat_mult are no longer default simp rules
  3172 
  3173 * Method "algebra" solves polynomial equations over (semi)rings using
  3174 Groebner bases. The (semi)ring structure is defined by locales and the
  3175 tool setup depends on that generic context. Installing the method for
  3176 a specific type involves instantiating the locale and possibly adding
  3177 declarations for computation on the coefficients.  The method is
  3178 already instantiated for natural numbers and for the axiomatic class
  3179 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  3180 CALCULEMUS 2007 for the general principles underlying this
  3181 architecture of context-aware proof-tools.
  3182 
  3183 * Method "ferrack" implements quantifier elimination over
  3184 special-purpose dense linear orders using locales (analogous to
  3185 "algebra"). The method is already installed for class
  3186 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  3187 rat, etc.
  3188 
  3189 * Former constant "List.op @" now named "List.append".  Use ML
  3190 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  3191 circumvent possible incompatibilities when working on ML level.
  3192 
  3193 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  3194 
  3195 * New function listsum :: 'a list => 'a for arbitrary monoids.
  3196 Special syntax: "SUM x <- xs. f x" (and latex variants)
  3197 
  3198 * New syntax for Haskell-like list comprehension (input only), eg.
  3199 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  3200 
  3201 * The special syntax for function "filter" has changed from [x :
  3202 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  3203 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  3204 
  3205 * [a..b] is now defined for arbitrary linear orders.  It used to be
  3206 defined on nat only, as an abbreviation for [a..<Suc b]
  3207 INCOMPATIBILITY.
  3208 
  3209 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  3210 
  3211 * New functions "sorted" and "sort" in src/HOL/List.thy.
  3212 
  3213 * New lemma collection field_simps (an extension of ring_simps) for
  3214 manipulating (in)equations involving division. Multiplies with all
  3215 denominators that can be proved to be non-zero (in equations) or
  3216 positive/negative (in inequations).
  3217 
  3218 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  3219 have been improved and renamed to ring_simps, group_simps and
  3220 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  3221 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  3222 
  3223 * Theory Library/Commutative_Ring: switched from recdef to function
  3224 package; constants add, mul, pow now curried.  Infix syntax for
  3225 algebraic operations.
  3226 
  3227 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  3228 INCOMPATIBILITY.
  3229 
  3230 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  3231 INCOMPATIBILITY.
  3232 
  3233 * HOL/records: generalised field-update to take a function on the
  3234 field rather than the new value: r(|A := x|) is translated to A_update
  3235 (K x) r The K-combinator that is internally used is called K_record.
  3236 INCOMPATIBILITY: Usage of the plain update functions has to be
  3237 adapted.
  3238  
  3239 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  3240 * x = 0, which are required for a semiring.  Richer structures do not
  3241 inherit from semiring_0 anymore, because this property is a theorem
  3242 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  3243 there is more to prove, but this is mostly trivial.
  3244 
  3245 * Class "recpower" is generalized to arbitrary monoids, not just
  3246 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  3247 commutativity or semiring properties additionally.
  3248 
  3249 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  3250 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  3251 better use 'abbreviation'.
  3252 
  3253 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  3254 
  3255 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  3256 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  3257 significant changes for setting up numeral syntax for types:
  3258   - New constants Numeral.pred and Numeral.succ instead
  3259       of former Numeral.bin_pred and Numeral.bin_succ.
  3260   - Use integer operations instead of bin_add, bin_mult and so on.
  3261   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  3262   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  3263 
  3264 See src/HOL/Integ/IntArith.thy for an example setup.
  3265 
  3266 * Command 'normal_form' computes the normal form of a term that may
  3267 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  3268 produces ``[b, c, a]'' (without proof).  This command is suitable for
  3269 heavy-duty computations because the functions are compiled to ML
  3270 first.  Correspondingly, a method "normalization" is provided.  See
  3271 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  3272 
  3273 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  3274 25 like -->); output depends on the "iff" print_mode, the default is
  3275 "A = B" (with priority 50).
  3276 
  3277 * Relations less (<) and less_eq (<=) are also available on type bool.
  3278 Modified syntax to disallow nesting without explicit parentheses,
  3279 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  3280 INCOMPATIBILITY.
  3281 
  3282 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  3283 
  3284 * Relation composition operator "op O" now has precedence 75 and binds
  3285 stronger than union and intersection. INCOMPATIBILITY.
  3286 
  3287 * The old set interval syntax "{m..n(}" (and relatives) has been
  3288 removed.  Use "{m..<n}" (and relatives) instead.
  3289 
  3290 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3291 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3292 ``declare [[simproc del: neq]]''.
  3293 
  3294 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3295 True/False.
  3296 
  3297 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3298 
  3299 * Theorem setsum_mult renamed to setsum_right_distrib.
  3300 
  3301 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3302 ``rule'' method.
  3303 
  3304 * Reimplemented methods "sat" and "satx", with several improvements:
  3305 goals no longer need to be stated as "<prems> ==> False", equivalences
  3306 (i.e. "=" on type bool) are handled, variable names of the form
  3307 "lit_<n>" are no longer reserved, significant speedup.
  3308 
  3309 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3310 zChaff is still supported as well.
  3311 
  3312 * 'inductive' and 'datatype': provide projections of mutual rules,
  3313 bundled as foo_bar.inducts;
  3314 
  3315 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3316 Library.
  3317 
  3318 * Library: moved theory Accessible_Part to main HOL.
  3319 
  3320 * Library: added theory Coinductive_List of potentially infinite lists
  3321 as greatest fixed-point.
  3322 
  3323 * Library: added theory AssocList which implements (finite) maps as
  3324 association lists.
  3325 
  3326 * Method "evaluation" solves goals (i.e. a boolean expression)
  3327 efficiently by compiling it to ML.  The goal is "proved" (via an
  3328 oracle) if it evaluates to True.
  3329 
  3330 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3331 also when invoked by the simplifier.  This results in the Simplifier
  3332 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3333 Configuration option fast_arith_split_limit=0 recovers the old
  3334 behavior.
  3335 
  3336 * Support for hex (0x20) and binary (0b1001) numerals.
  3337 
  3338 * New method: reify eqs (t), where eqs are equations for an
  3339 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  3340 parameter, computes a term s::'b and a list xs::'a list and proves the
  3341 theorem I xs s = t. This is also known as reification or quoting. The
  3342 resulting theorem is applied to the subgoal to substitute t with I xs
  3343 s.  If t is omitted, the subgoal itself is reified.
  3344 
  3345 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  3346 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  3347 where f is supposed to be a computable function (in the sense of code
  3348 generattion). The method uses reify to compute s and xs as above then
  3349 applies corr_thm and uses normalization by evaluation to "prove" f s =
  3350 r and finally gets the theorem t = r, which is again applied to the
  3351 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  3352 
  3353 * Reflection: Automatic reification now handels binding, an example is
  3354 available in src/HOL/ex/ReflectionEx.thy
  3355 
  3356 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  3357 command 'statespace' that is similar to 'record', but introduces an
  3358 abstract specification based on the locale infrastructure instead of
  3359 HOL types.  This leads to extra flexibility in composing state spaces,
  3360 in particular multiple inheritance and renaming of components.
  3361 
  3362 
  3363 *** HOL-Complex ***
  3364 
  3365 * Hyperreal: Functions root and sqrt are now defined on negative real
  3366 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  3367 Nonnegativity side conditions have been removed from many lemmas, so
  3368 that more subgoals may now be solved by simplification; potential
  3369 INCOMPATIBILITY.
  3370 
  3371 * Real: new type classes formalize real normed vector spaces and
  3372 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  3373 and norm :: 'a => real.
  3374 
  3375 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  3376 reals into other types. The overloaded constant Reals :: 'a set is now
  3377 defined as range of_real; potential INCOMPATIBILITY.
  3378 
  3379 * Real: proper support for ML code generation, including 'quickcheck'.
  3380 Reals are implemented as arbitrary precision rationals.
  3381 
  3382 * Real: new development using Cauchy Sequences.
  3383 
  3384 * Hyperreal: Several constants that previously worked only for the
  3385 reals have been generalized, so they now work over arbitrary vector
  3386 spaces. Type annotations may need to be added in some cases; potential
  3387 INCOMPATIBILITY.
  3388 
  3389   Infinitesimal  :: ('a::real_normed_vector) star set
  3390   HFinite        :: ('a::real_normed_vector) star set
  3391   HInfinite      :: ('a::real_normed_vector) star set
  3392   approx         :: ('a::real_normed_vector) star => 'a star => bool
  3393   monad          :: ('a::real_normed_vector) star => 'a star set
  3394   galaxy         :: ('a::real_normed_vector) star => 'a star set
  3395   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  3396   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  3397   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  3398   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  3399   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  3400   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  3401   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  3402   sgn            :: 'a::real_normed_vector => 'a
  3403   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  3404 
  3405 * Complex: Some complex-specific constants are now abbreviations for
  3406 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  3407 hnorm.  Other constants have been entirely removed in favor of the
  3408 polymorphic versions (INCOMPATIBILITY):
  3409 
  3410   approx        <-- capprox
  3411   HFinite       <-- CFinite
  3412   HInfinite     <-- CInfinite
  3413   Infinitesimal <-- CInfinitesimal
  3414   monad         <-- cmonad
  3415   galaxy        <-- cgalaxy
  3416   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  3417   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  3418   (ns)deriv     <-- (ns)cderiv
  3419 
  3420 
  3421 *** HOL-Algebra ***
  3422 
  3423 * Formalisation of ideals and the quotient construction over rings.
  3424 
  3425 * Order and lattice theory no longer based on records.
  3426 INCOMPATIBILITY.
  3427 
  3428 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  3429 greatest_closed.  INCOMPATIBILITY.
  3430 
  3431 * Method algebra is now set up via an attribute.  For examples see
  3432 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  3433 of algebraic structures.
  3434 
  3435 * Renamed theory CRing to Ring.
  3436 
  3437 
  3438 *** HOL-Nominal ***
  3439 
  3440 * Substantial, yet incomplete support for nominal datatypes (binding
  3441 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  3442 src/HOL/Nominal/Examples.  Prospective users should consult
  3443 http://isabelle.in.tum.de/nominal/
  3444 
  3445 
  3446 *** ML ***
  3447 
  3448 * ML basics: just one true type int, which coincides with IntInf.int
  3449 (even on SML/NJ).
  3450 
  3451 * ML within Isar: antiquotations allow to embed statically-checked
  3452 formal entities in the source, referring to the context available at
  3453 compile-time.  For example:
  3454 
  3455 ML {* @{sort "{zero,one}"} *}
  3456 ML {* @{typ "'a => 'b"} *}
  3457 ML {* @{term "%x. x"} *}
  3458 ML {* @{prop "x == y"} *}
  3459 ML {* @{ctyp "'a => 'b"} *}
  3460 ML {* @{cterm "%x. x"} *}
  3461 ML {* @{cprop "x == y"} *}
  3462 ML {* @{thm asm_rl} *}
  3463 ML {* @{thms asm_rl} *}
  3464 ML {* @{type_name c} *}
  3465 ML {* @{type_syntax c} *}
  3466 ML {* @{const_name c} *}
  3467 ML {* @{const_syntax c} *}
  3468 ML {* @{context} *}
  3469 ML {* @{theory} *}
  3470 ML {* @{theory Pure} *}
  3471 ML {* @{theory_ref} *}
  3472 ML {* @{theory_ref Pure} *}
  3473 ML {* @{simpset} *}
  3474 ML {* @{claset} *}
  3475 ML {* @{clasimpset} *}
  3476 
  3477 The same works for sources being ``used'' within an Isar context.
  3478 
  3479 * ML in Isar: improved error reporting; extra verbosity with
  3480 ML_Context.trace enabled.
  3481 
  3482 * Pure/General/table.ML: the join operations now works via exceptions
  3483 DUP/SAME instead of type option. This is simpler in simple cases, and
  3484 admits slightly more efficient complex applications.
  3485 
  3486 * Pure: 'advanced' translation functions (parse_translation etc.) now
  3487 use Context.generic instead of just theory.
  3488 
  3489 * Pure: datatype Context.generic joins theory/Proof.context and
  3490 provides some facilities for code that works in either kind of
  3491 context, notably GenericDataFun for uniform theory and proof data.
  3492 
  3493 * Pure: simplified internal attribute type, which is now always
  3494 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  3495 local (Proof.context) attributes have been discontinued, while
  3496 minimizing code duplication. Thm.rule_attribute and
  3497 Thm.declaration_attribute build canonical attributes; see also structure
  3498 Context for further operations on Context.generic, notably
  3499 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  3500 declarations and definitions.
  3501 
  3502 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  3503 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  3504 init only required for impure data. INCOMPATIBILITY: empty really need
  3505 to be empty (no dependencies on theory content!)
  3506 
  3507 * Pure/kernel: consts certification ignores sort constraints given in
  3508 signature declarations. (This information is not relevant to the
  3509 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  3510 potential INCOMPATIBILITY.
  3511 
  3512 * Pure: axiomatic type classes are now purely definitional, with
  3513 explicit proofs of class axioms and super class relations performed
  3514 internally. See Pure/axclass.ML for the main internal interfaces --
  3515 notably AxClass.define_class supercedes AxClass.add_axclass, and
  3516 AxClass.axiomatize_class/classrel/arity supersede
  3517 Sign.add_classes/classrel/arities.
  3518 
  3519 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  3520 global/local versions on theory vs. Proof.context have been
  3521 discontinued; Attrib.syntax and Method.syntax have been adapted
  3522 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  3523 attributes, methods, etc.
  3524 
  3525 * Pure: several functions of signature "... -> theory -> theory * ..."
  3526 have been reoriented to "... -> theory -> ... * theory" in order to
  3527 allow natural usage in combination with the ||>, ||>>, |-> and
  3528 fold_map combinators.
  3529 
  3530 * Pure: official theorem names (closed derivations) and additional
  3531 comments (tags) are now strictly separate.  Name hints -- which are
  3532 maintained as tags -- may be attached any time without affecting the
  3533 derivation.
  3534 
  3535 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  3536 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  3537 achieve the old behaviour.
  3538 
  3539 * Pure: the "Goal" constant is now called "prop", supporting a
  3540 slightly more general idea of ``protecting'' meta-level rule
  3541 statements.
  3542 
  3543 * Pure: Logic.(un)varify only works in a global context, which is now
  3544 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  3545 Logic.legacy_(un)varify as temporary workaround.
  3546 
  3547 * Pure: structure Name provides scalable operations for generating
  3548 internal variable names, notably Name.variants etc.  This replaces
  3549 some popular functions from term.ML:
  3550 
  3551   Term.variant		->  Name.variant
  3552   Term.variantlist	->  Name.variant_list
  3553   Term.invent_names	->  Name.invent_list
  3554 
  3555 Note that low-level renaming rarely occurs in new code -- operations
  3556 from structure Variable are used instead (see below).
  3557 
  3558 * Pure: structure Variable provides fundamental operations for proper
  3559 treatment of fixed/schematic variables in a context.  For example,
  3560 Variable.import introduces fixes for schematics of given facts and
  3561 Variable.export reverses the effect (up to renaming) -- this replaces
  3562 various freeze_thaw operations.
  3563 
  3564 * Pure: structure Goal provides simple interfaces for
  3565 init/conclude/finish and tactical prove operations (replacing former
  3566 Tactic.prove).  Goal.prove is the canonical way to prove results
  3567 within a given context; Goal.prove_global is a degraded version for
  3568 theory level goals, including a global Drule.standard.  Note that
  3569 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  3570 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  3571 in a locale context).
  3572 
  3573 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  3574 and type checking (Syntax.check_term etc.), with common combinations
  3575 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  3576 which are considered legacy and await removal.
  3577 
  3578 * Pure/Syntax: generic interfaces for type unchecking
  3579 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  3580 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  3581 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  3582 available for convenience, but refer to the very same operations using
  3583 a mere theory instead of a full context.
  3584 
  3585 * Isar: simplified treatment of user-level errors, using exception
  3586 ERROR of string uniformly.  Function error now merely raises ERROR,
  3587 without any side effect on output channels.  The Isar toplevel takes
  3588 care of proper display of ERROR exceptions.  ML code may use plain
  3589 handle/can/try; cat_error may be used to concatenate errors like this:
  3590 
  3591   ... handle ERROR msg => cat_error msg "..."
  3592 
  3593 Toplevel ML code (run directly or through the Isar toplevel) may be
  3594 embedded into the Isar toplevel with exception display/debug like
  3595 this:
  3596 
  3597   Isar.toplevel (fn () => ...)
  3598 
  3599 INCOMPATIBILITY, removed special transform_error facilities, removed
  3600 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  3601 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  3602 -- use plain ERROR instead.
  3603 
  3604 * Isar: theory setup now has type (theory -> theory), instead of a
  3605 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  3606 
  3607 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  3608 ProofContext.debug/verbose flags.
  3609 
  3610 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  3611 theory before entering a proof state.  Transactions now always see a
  3612 quasi-functional intermediate checkpoint, both in interactive and
  3613 batch mode.
  3614 
  3615 * Isar: simplified interfaces for outer syntax.  Renamed
  3616 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  3617 OuterSyntax.add_parsers -- this functionality is now included in
  3618 OuterSyntax.command etc.  INCOMPATIBILITY.
  3619 
  3620 * Simplifier: the simpset of a running simplification process now
  3621 contains a proof context (cf. Simplifier.the_context), which is the
  3622 very context that the initial simpset has been retrieved from (by
  3623 simpset_of/local_simpset_of).  Consequently, all plug-in components
  3624 (solver, looper etc.) may depend on arbitrary proof data.
  3625 
  3626 * Simplifier.inherit_context inherits the proof context (plus the
  3627 local bounds) of the current simplification process; any simproc
  3628 etc. that calls the Simplifier recursively should do this!  Removed
  3629 former Simplifier.inherit_bounds, which is already included here --
  3630 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  3631 specify an explicit context using Simplifier.context/theory_context.
  3632 
  3633 * Simplifier/Classical Reasoner: more abstract interfaces
  3634 change_simpset/claset for modifying the simpset/claset reference of a
  3635 theory; raw versions simpset/claset_ref etc. have been discontinued --
  3636 INCOMPATIBILITY.
  3637 
  3638 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  3639 "Trueprop" etc.
  3640 
  3641 
  3642 *** System ***
  3643 
  3644 * settings: the default heap location within ISABELLE_HOME_USER now
  3645 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  3646 Isabelle installations.
  3647 
  3648 * isabelle-process: option -S (secure mode) disables some critical
  3649 operations, notably runtime compilation and evaluation of ML source
  3650 code.
  3651 
  3652 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  3653 
  3654 * Support for parallel execution, using native multicore support of
  3655 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  3656 independent theories, according to the given theory header
  3657 specifications. The maximum number of worker threads is specified via
  3658 usedir option -M or the "max-threads" setting in Proof General. A
  3659 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  3660 to 6 on a 8-core machine.  User-code needs to observe certain
  3661 guidelines for thread-safe programming, see appendix A in the Isar
  3662 Implementation manual.
  3663 
  3664 
  3665 
  3666 New in Isabelle2005 (October 2005)
  3667 ----------------------------------
  3668 
  3669 *** General ***
  3670 
  3671 * Theory headers: the new header syntax for Isar theories is
  3672 
  3673   theory <name>
  3674   imports <theory1> ... <theoryN>
  3675   uses <file1> ... <fileM>
  3676   begin
  3677 
  3678 where the 'uses' part is optional.  The previous syntax
  3679 
  3680   theory <name> = <theory1> + ... + <theoryN>:
  3681 
  3682 will disappear in the next release.  Use isatool fixheaders to convert
  3683 existing theory files.  Note that there is no change in ancient
  3684 non-Isar theories now, but these will disappear soon.
  3685 
  3686 * Theory loader: parent theories can now also be referred to via
  3687 relative and absolute paths.
  3688 
  3689 * Command 'find_theorems' searches for a list of criteria instead of a
  3690 list of constants. Known criteria are: intro, elim, dest, name:string,
  3691 simp:term, and any term. Criteria can be preceded by '-' to select
  3692 theorems that do not match. Intro, elim, dest select theorems that
  3693 match the current goal, name:s selects theorems whose fully qualified
  3694 name contain s, and simp:term selects all simplification rules whose
  3695 lhs match term.  Any other term is interpreted as pattern and selects
  3696 all theorems matching the pattern. Available in ProofGeneral under
  3697 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  3698 
  3699   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  3700 
  3701 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  3702 matching the current goal as introduction rule and not having "HOL."
  3703 in their name (i.e. not being defined in theory HOL).
  3704 
  3705 * Command 'thms_containing' has been discontinued in favour of
  3706 'find_theorems'; INCOMPATIBILITY.
  3707 
  3708 * Communication with Proof General is now 8bit clean, which means that
  3709 Unicode text in UTF-8 encoding may be used within theory texts (both
  3710 formal and informal parts).  Cf. option -U of the Isabelle Proof
  3711 General interface.  Here are some simple examples (cf. src/HOL/ex):
  3712 
  3713   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  3714   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  3715 
  3716 * Improved efficiency of the Simplifier and, to a lesser degree, the
  3717 Classical Reasoner.  Typical big applications run around 2 times
  3718 faster.
  3719 
  3720 
  3721 *** Document preparation ***
  3722 
  3723 * Commands 'display_drafts' and 'print_drafts' perform simple output
  3724 of raw sources.  Only those symbols that do not require additional
  3725 LaTeX packages (depending on comments in isabellesym.sty) are
  3726 displayed properly, everything else is left verbatim.  isatool display
  3727 and isatool print are used as front ends (these are subject to the
  3728 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  3729 
  3730 * Command tags control specific markup of certain regions of text,
  3731 notably folding and hiding.  Predefined tags include "theory" (for
  3732 theory begin and end), "proof" for proof commands, and "ML" for
  3733 commands involving ML code; the additional tags "visible" and
  3734 "invisible" are unused by default.  Users may give explicit tag
  3735 specifications in the text, e.g. ''by %invisible (auto)''.  The
  3736 interpretation of tags is determined by the LaTeX job during document
  3737 preparation: see option -V of isatool usedir, or options -n and -t of
  3738 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  3739 \isadroptag.
  3740 
  3741 Several document versions may be produced at the same time via isatool
  3742 usedir (the generated index.html will link all of them).  Typical
  3743 specifications include ''-V document=theory,proof,ML'' to present
  3744 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  3745 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  3746 these parts without any formal replacement text.  The Isabelle site
  3747 default settings produce ''document'' and ''outline'' versions as
  3748 specified above.
  3749 
  3750 * Several new antiquotations:
  3751 
  3752   @{term_type term} prints a term with its type annotated;
  3753 
  3754   @{typeof term} prints the type of a term;
  3755 
  3756   @{const const} is the same as @{term const}, but checks that the
  3757   argument is a known logical constant;
  3758 
  3759   @{term_style style term} and @{thm_style style thm} print a term or
  3760   theorem applying a "style" to it
  3761 
  3762   @{ML text}
  3763 
  3764 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  3765 definitions, equations, inequations etc., 'concl' printing only the
  3766 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  3767 to print the specified premise.  TermStyle.add_style provides an ML
  3768 interface for introducing further styles.  See also the "LaTeX Sugar"
  3769 document practical applications.  The ML antiquotation prints
  3770 type-checked ML expressions verbatim.
  3771 
  3772 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  3773 and 'text' support optional locale specification '(in loc)', which
  3774 specifies the default context for interpreting antiquotations.  For
  3775 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  3776 
  3777 * Option 'locale=NAME' of antiquotations specifies an alternative
  3778 context interpreting the subsequent argument.  For example: @{thm
  3779 [locale=lattice] inf_assoc}.
  3780 
  3781 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  3782 a proof context.
  3783 
  3784 * Proper output of antiquotations for theory commands involving a
  3785 proof context (such as 'locale' or 'theorem (in loc) ...').
  3786 
  3787 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  3788 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  3789 
  3790 * isatool usedir: new option -C (default true) controls whether option
  3791 -D should include a copy of the original document directory; -C false
  3792 prevents unwanted effects such as copying of administrative CVS data.
  3793 
  3794 
  3795 *** Pure ***
  3796 
  3797 * Considerably improved version of 'constdefs' command.  Now performs
  3798 automatic type-inference of declared constants; additional support for
  3799 local structure declarations (cf. locales and HOL records), see also
  3800 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  3801 sequential dependencies of definitions within a single 'constdefs'
  3802 section; moreover, the declared name needs to be an identifier.  If
  3803 all fails, consider to fall back on 'consts' and 'defs' separately.
  3804 
  3805 * Improved indexed syntax and implicit structures.  First of all,
  3806 indexed syntax provides a notational device for subscripted
  3807 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  3808 expressions.  Secondly, in a local context with structure
  3809 declarations, number indexes \<^sub>n or the empty index (default
  3810 number 1) refer to a certain fixed variable implicitly; option
  3811 show_structs controls printing of implicit structures.  Typical
  3812 applications of these concepts involve record types and locales.
  3813 
  3814 * New command 'no_syntax' removes grammar declarations (and
  3815 translations) resulting from the given syntax specification, which is
  3816 interpreted in the same manner as for the 'syntax' command.
  3817 
  3818 * 'Advanced' translation functions (parse_translation etc.) may depend
  3819 on the signature of the theory context being presently used for
  3820 parsing/printing, see also isar-ref manual.
  3821 
  3822 * Improved 'oracle' command provides a type-safe interface to turn an
  3823 ML expression of type theory -> T -> term into a primitive rule of
  3824 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  3825 is already included here); see also FOL/ex/IffExample.thy;
  3826 INCOMPATIBILITY.
  3827 
  3828 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  3829 before); "cI" is no longer bound, use "c.intro" instead.
  3830 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  3831 axclasses vs. locales.
  3832 
  3833 * Improved internal renaming of symbolic identifiers -- attach primes
  3834 instead of base 26 numbers.
  3835 
  3836 * New flag show_question_marks controls printing of leading question
  3837 marks in schematic variable names.
  3838 
  3839 * In schematic variable names, *any* symbol following \<^isub> or
  3840 \<^isup> is now treated as part of the base name.  For example, the
  3841 following works without printing of awkward ".0" indexes:
  3842 
  3843   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  3844     by simp
  3845 
  3846 * Inner syntax includes (*(*nested*) comments*).
  3847 
  3848 * Pretty printer now supports unbreakable blocks, specified in mixfix
  3849 annotations as "(00...)".
  3850 
  3851 * Clear separation of logical types and nonterminals, where the latter
  3852 may only occur in 'syntax' specifications or type abbreviations.
  3853 Before that distinction was only partially implemented via type class
  3854 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  3855 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  3856 exotic syntax specifications may require further adaption
  3857 (e.g. Cube/Cube.thy).
  3858 
  3859 * Removed obsolete type class "logic", use the top sort {} instead.
  3860 Note that non-logical types should be declared as 'nonterminals'
  3861 rather than 'types'.  INCOMPATIBILITY for new object-logic
  3862 specifications.
  3863 
  3864 * Attributes 'induct' and 'cases': type or set names may now be
  3865 locally fixed variables as well.
  3866 
  3867 * Simplifier: can now control the depth to which conditional rewriting
  3868 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  3869 Limit.
  3870 
  3871 * Simplifier: simplification procedures may now take the current
  3872 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  3873 interface), which is very useful for calling the Simplifier
  3874 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  3875 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  3876 low-level mk_simproc no longer applies Logic.varify internally, to
  3877 allow for use in a context of fixed variables.
  3878 
  3879 * thin_tac now works even if the assumption being deleted contains !!
  3880 or ==>.  More generally, erule now works even if the major premise of
  3881 the elimination rule contains !! or ==>.
  3882 
  3883 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  3884 
  3885 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  3886 from Pure, which contains all common declarations already.  Both
  3887 theories are defined via plain Isabelle/Isar .thy files.
  3888 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  3889 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  3890 use isatool fixcpure to adapt your theory and ML sources.
  3891 
  3892 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  3893 selections of theorems in named facts via index ranges.
  3894 
  3895 * 'print_theorems': in theory mode, really print the difference
  3896 wrt. the last state (works for interactive theory development only),
  3897 in proof mode print all local facts (cf. 'print_facts');
  3898 
  3899 * 'hide': option '(open)' hides only base names.
  3900 
  3901 * More efficient treatment of intermediate checkpoints in interactive
  3902 theory development.
  3903 
  3904 * Code generator is now invoked via code_module (incremental code
  3905 generation) and code_library (modular code generation, ML structures
  3906 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  3907 must be quoted when used as identifiers.
  3908 
  3909 * New 'value' command for reading, evaluating and printing terms using
  3910 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  3911 quoted when used as identifier.
  3912 
  3913 
  3914 *** Locales ***
  3915 
  3916 * New commands for the interpretation of locale expressions in
  3917 theories (1), locales (2) and proof contexts (3).  These generate
  3918 proof obligations from the expression specification.  After the
  3919 obligations have been discharged, theorems of the expression are added
  3920 to the theory, target locale or proof context.  The synopsis of the
  3921 commands is a follows:
  3922 
  3923   (1) interpretation expr inst
  3924   (2) interpretation target < expr
  3925   (3) interpret expr inst
  3926 
  3927 Interpretation in theories and proof contexts require a parameter
  3928 instantiation of terms from the current context.  This is applied to
  3929 specifications and theorems of the interpreted expression.
  3930 Interpretation in locales only permits parameter renaming through the
  3931 locale expression.  Interpretation is smart in that interpretations
  3932 that are active already do not occur in proof obligations, neither are
  3933 instantiated theorems stored in duplicate.  Use 'print_interps' to
  3934 inspect active interpretations of a particular locale.  For details,
  3935 see the Isar Reference manual.  Examples can be found in
  3936 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  3937 
  3938 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  3939 'interpret' instead.
  3940 
  3941 * New context element 'constrains' for adding type constraints to
  3942 parameters.
  3943 
  3944 * Context expressions: renaming of parameters with syntax
  3945 redeclaration.
  3946 
  3947 * Locale declaration: 'includes' disallowed.
  3948 
  3949 * Proper static binding of attribute syntax -- i.e. types / terms /
  3950 facts mentioned as arguments are always those of the locale definition
  3951 context, independently of the context of later invocations.  Moreover,
  3952 locale operations (renaming and type / term instantiation) are applied
  3953 to attribute arguments as expected.
  3954 
  3955 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  3956 actual attributes; rare situations may require Attrib.attribute to
  3957 embed those attributes into Attrib.src that lack concrete syntax.
  3958 Attribute implementations need to cooperate properly with the static
  3959 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  3960 Attrib.XXX_thm etc. already do the right thing without further
  3961 intervention.  Only unusual applications -- such as "where" or "of"
  3962 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  3963 on the context and the facts involved -- may have to assign parsed
  3964 values to argument tokens explicitly.
  3965 
  3966 * Changed parameter management in theorem generation for long goal
  3967 statements with 'includes'.  INCOMPATIBILITY: produces a different
  3968 theorem statement in rare situations.
  3969 
  3970 * Locale inspection command 'print_locale' omits notes elements.  Use
  3971 'print_locale!' to have them included in the output.
  3972 
  3973 
  3974 *** Provers ***
  3975 
  3976 * Provers/hypsubst.ML: improved version of the subst method, for
  3977 single-step rewriting: it now works in bound variable contexts. New is
  3978 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  3979 rewrite a different subterm than the original subst method, which is
  3980 still available as 'simplesubst'.
  3981 
  3982 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  3983 and quasi orders.
  3984 
  3985 * Provers/trancl.ML: new transitivity reasoner for transitive and
  3986 reflexive-transitive closure of relations.
  3987 
  3988 * Provers/blast.ML: new reference depth_limit to make blast's depth
  3989 limit (previously hard-coded with a value of 20) user-definable.
  3990 
  3991 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  3992 is peformed already.  Object-logics merely need to finish their
  3993 initial simpset configuration as before.  INCOMPATIBILITY.
  3994 
  3995 
  3996 *** HOL ***
  3997 
  3998 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  3999 
  4000   syntax (epsilon)
  4001     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  4002 
  4003 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  4004 and x-symbol; use option '-m epsilon' to get it actually printed.
  4005 Moreover, the mathematically important symbolic identifier \<epsilon>
  4006 becomes available as variable, constant etc.  INCOMPATIBILITY,
  4007 
  4008 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  4009 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  4010 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  4011 support corresponding Isar calculations.
  4012 
  4013 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  4014 instead of ":".
  4015 
  4016 * theory SetInterval: changed the syntax for open intervals:
  4017 
  4018   Old       New
  4019   {..n(}    {..<n}
  4020   {)n..}    {n<..}
  4021   {m..n(}   {m..<n}
  4022   {)m..n}   {m<..n}
  4023   {)m..n(}  {m<..<n}
  4024 
  4025 The old syntax is still supported but will disappear in the next
  4026 release.  For conversion use the following Emacs search and replace
  4027 patterns (these are not perfect but work quite well):
  4028 
  4029   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  4030   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  4031 
  4032 * Theory Commutative_Ring (in Library): method comm_ring for proving
  4033 equalities in commutative rings; method 'algebra' provides a generic
  4034 interface.
  4035 
  4036 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  4037 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  4038 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  4039 be a tuple pattern.
  4040 
  4041 Some new syntax forms are available:
  4042 
  4043   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  4044   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  4045   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  4046   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  4047 
  4048 The latter form "\<Sum>x < k. e" used to be based on a separate
  4049 function "Summation", which has been discontinued.
  4050 
  4051 * theory Finite_Set: in structured induction proofs, the insert case
  4052 is now 'case (insert x F)' instead of the old counterintuitive 'case
  4053 (insert F x)'.
  4054 
  4055 * The 'refute' command has been extended to support a much larger
  4056 fragment of HOL, including axiomatic type classes, constdefs and
  4057 typedefs, inductive datatypes and recursion.
  4058 
  4059 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  4060 Requires zChaff with proof generation to be installed.  See
  4061 HOL/ex/SAT_Examples.thy for examples.
  4062 
  4063 * Datatype induction via method 'induct' now preserves the name of the
  4064 induction variable. For example, when proving P(xs::'a list) by
  4065 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  4066 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  4067 in unstructured proof scripts.
  4068 
  4069 * Reworked implementation of records.  Improved scalability for
  4070 records with many fields, avoiding performance problems for type
  4071 inference. Records are no longer composed of nested field types, but
  4072 of nested extension types. Therefore the record type only grows linear
  4073 in the number of extensions and not in the number of fields.  The
  4074 top-level (users) view on records is preserved.  Potential
  4075 INCOMPATIBILITY only in strange cases, where the theory depends on the
  4076 old record representation. The type generated for a record is called
  4077 <record_name>_ext_type.
  4078 
  4079 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  4080 proofs triggered by a record definition or a simproc (if
  4081 quick_and_dirty is enabled).  Definitions of large records can take
  4082 quite long.
  4083 
  4084 New simproc record_upd_simproc for simplification of multiple record
  4085 updates enabled by default.  Moreover, trivial updates are also
  4086 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  4087 occasionally, since simplification is more powerful by default.
  4088 
  4089 * typedef: proper support for polymorphic sets, which contain extra
  4090 type-variables in the term.
  4091 
  4092 * Simplifier: automatically reasons about transitivity chains
  4093 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  4094 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  4095 old proofs break occasionally as simplification may now solve more
  4096 goals than previously.
  4097 
  4098 * Simplifier: converts x <= y into x = y if assumption y <= x is
  4099 present.  Works for all partial orders (class "order"), in particular
  4100 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  4101 just like y <= x.
  4102 
  4103 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  4104 bound variable or a constant then the let is unfolded.  Otherwise
  4105 first a is simplified to b, and then f b is simplified to g. If
  4106 possible we abstract b from g arriving at "let x = b in h x",
  4107 otherwise we unfold the let and arrive at g.  The simproc can be
  4108 enabled/disabled by the reference use_let_simproc.  Potential
  4109 INCOMPATIBILITY since simplification is more powerful by default.
  4110 
  4111 * Classical reasoning: the meson method now accepts theorems as arguments.
  4112 
  4113 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  4114 jobs to provide advice on the provability of subgoals.
  4115 
  4116 * Theory OrderedGroup and Ring_and_Field: various additions and
  4117 improvements to faciliate calculations involving equalities and
  4118 inequalities.
  4119 
  4120 The following theorems have been eliminated or modified
  4121 (INCOMPATIBILITY):
  4122 
  4123   abs_eq             now named abs_of_nonneg
  4124   abs_of_ge_0        now named abs_of_nonneg
  4125   abs_minus_eq       now named abs_of_nonpos
  4126   imp_abs_id         now named abs_of_nonneg
  4127   imp_abs_neg_id     now named abs_of_nonpos
  4128   mult_pos           now named mult_pos_pos
  4129   mult_pos_le        now named mult_nonneg_nonneg
  4130   mult_pos_neg_le    now named mult_nonneg_nonpos
  4131   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  4132   mult_neg           now named mult_neg_neg
  4133   mult_neg_le        now named mult_nonpos_nonpos
  4134 
  4135 * The following lemmas in Ring_and_Field have been added to the simplifier:
  4136      
  4137      zero_le_square
  4138      not_square_less_zero 
  4139 
  4140   The following lemmas have been deleted from Real/RealPow:
  4141   
  4142      realpow_zero_zero
  4143      realpow_two
  4144      realpow_less
  4145      zero_le_power
  4146      realpow_two_le
  4147      abs_realpow_two
  4148      realpow_two_abs     
  4149 
  4150 * Theory Parity: added rules for simplifying exponents.
  4151 
  4152 * Theory List:
  4153 
  4154 The following theorems have been eliminated or modified
  4155 (INCOMPATIBILITY):
  4156 
  4157   list_all_Nil       now named list_all.simps(1)
  4158   list_all_Cons      now named list_all.simps(2)
  4159   list_all_conv      now named list_all_iff
  4160   set_mem_eq         now named mem_iff
  4161 
  4162 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  4163 asymptotic "big O" calculations.  See the notes in BigO.thy.
  4164 
  4165 
  4166 *** HOL-Complex ***
  4167 
  4168 * Theory RealDef: better support for embedding natural numbers and
  4169 integers in the reals.
  4170 
  4171 The following theorems have been eliminated or modified
  4172 (INCOMPATIBILITY):
  4173 
  4174   exp_ge_add_one_self  now requires no hypotheses
  4175   real_of_int_add      reversed direction of equality (use [symmetric])
  4176   real_of_int_minus    reversed direction of equality (use [symmetric])
  4177   real_of_int_diff     reversed direction of equality (use [symmetric])
  4178   real_of_int_mult     reversed direction of equality (use [symmetric])
  4179 
  4180 * Theory RComplete: expanded support for floor and ceiling functions.
  4181 
  4182 * Theory Ln is new, with properties of the natural logarithm
  4183 
  4184 * Hyperreal: There is a new type constructor "star" for making
  4185 nonstandard types.  The old type names are now type synonyms:
  4186 
  4187   hypreal = real star
  4188   hypnat = nat star
  4189   hcomplex = complex star
  4190 
  4191 * Hyperreal: Many groups of similarly-defined constants have been
  4192 replaced by polymorphic versions (INCOMPATIBILITY):
  4193 
  4194   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  4195 
  4196   starset      <-- starsetNat, starsetC
  4197   *s*          <-- *sNat*, *sc*
  4198   starset_n    <-- starsetNat_n, starsetC_n
  4199   *sn*         <-- *sNatn*, *scn*
  4200   InternalSets <-- InternalNatSets, InternalCSets
  4201 
  4202   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  4203   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  4204   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  4205   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  4206   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  4207 
  4208 * Hyperreal: Many type-specific theorems have been removed in favor of
  4209 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  4210 
  4211   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  4212   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  4213   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  4214   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  4215   right_minus <-- hypreal_add_minus
  4216   left_minus <-- {hypreal,hcomplex}_add_minus_left
  4217   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  4218   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  4219   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  4220   mult_1_right <-- hcomplex_mult_one_right
  4221   mult_zero_left <-- hcomplex_mult_zero_left
  4222   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  4223   right_distrib <-- hypnat_add_mult_distrib2
  4224   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  4225   right_inverse <-- hypreal_mult_inverse
  4226   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  4227   order_refl <-- {hypreal,hypnat}_le_refl
  4228   order_trans <-- {hypreal,hypnat}_le_trans
  4229   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  4230   order_less_le <-- {hypreal,hypnat}_less_le
  4231   linorder_linear <-- {hypreal,hypnat}_le_linear
  4232   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  4233   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  4234   add_nonneg_nonneg <-- hypreal_le_add_order
  4235 
  4236 * Hyperreal: Separate theorems having to do with type-specific
  4237 versions of constants have been merged into theorems that apply to the
  4238 new polymorphic constants (INCOMPATIBILITY):
  4239 
  4240   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  4241   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  4242   STAR_Un <-- {STAR,NatStar,STARC}_Un
  4243   STAR_Int <-- {STAR,NatStar,STARC}_Int
  4244   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  4245   STAR_subset <-- {STAR,NatStar,STARC}_subset
  4246   STAR_mem <-- {STAR,NatStar,STARC}_mem
  4247   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  4248   STAR_diff <-- {STAR,STARC}_diff
  4249   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  4250     STARC_hcomplex_of_complex}_image_subset
  4251   starset_n_Un <-- starset{Nat,C}_n_Un
  4252   starset_n_Int <-- starset{Nat,C}_n_Int
  4253   starset_n_Compl <-- starset{Nat,C}_n_Compl
  4254   starset_n_diff <-- starset{Nat,C}_n_diff
  4255   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  4256   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  4257   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  4258   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  4259   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  4260   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  4261   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  4262   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  4263   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  4264   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  4265   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  4266   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  4267   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  4268   starfun_diff <-- starfun{C,RC,CR}_diff
  4269   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  4270   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  4271   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  4272   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  4273   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  4274   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  4275   starfun_Id <-- starfunC_Id
  4276   starfun_approx <-- starfun{Nat,CR}_approx
  4277   starfun_capprox <-- starfun{C,RC}_capprox
  4278   starfun_abs <-- starfunNat_rabs
  4279   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  4280   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  4281   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  4282   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  4283   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  4284   starfun_add_approx <-- starfunCR_add_approx
  4285   starfun_inverse_inverse <-- starfunC_inverse_inverse
  4286   starfun_divide <-- starfun{C,CR,RC}_divide
  4287   starfun_n <-- starfun{Nat,C}_n
  4288   starfun_n_mult <-- starfun{Nat,C}_n_mult
  4289   starfun_n_add <-- starfun{Nat,C}_n_add
  4290   starfun_n_add_minus <-- starfunNat_n_add_minus
  4291   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4292   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4293   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4294 
  4295   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4296   star_n_minus <-- {hypreal,hcomplex}_minus
  4297   star_n_diff <-- {hypreal,hcomplex}_diff
  4298   star_n_mult <-- {hypreal,hcomplex}_mult
  4299   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4300   star_n_le <-- {hypreal,hypnat}_le
  4301   star_n_less <-- {hypreal,hypnat}_less
  4302   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4303   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4304   star_n_abs <-- hypreal_hrabs
  4305   star_n_divide <-- hcomplex_divide
  4306 
  4307   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4308   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4309   star_of_diff <-- hypreal_of_real_diff
  4310   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4311   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4312   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4313   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4314   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4315   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4316   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4317   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4318   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4319   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4320   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4321   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4322   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4323   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4324   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4325   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4326   star_of_power <-- hypreal_of_real_power
  4327   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4328 
  4329 * Hyperreal: new method "transfer" that implements the transfer
  4330 principle of nonstandard analysis. With a subgoal that mentions
  4331 nonstandard types like "'a star", the command "apply transfer"
  4332 replaces it with an equivalent one that mentions only standard types.
  4333 To be successful, all free variables must have standard types; non-
  4334 standard variables must have explicit universal quantifiers.
  4335 
  4336 * Hyperreal: A theory of Taylor series.
  4337 
  4338 
  4339 *** HOLCF ***
  4340 
  4341 * Discontinued special version of 'constdefs' (which used to support
  4342 continuous functions) in favor of the general Pure one with full
  4343 type-inference.
  4344 
  4345 * New simplification procedure for solving continuity conditions; it
  4346 is much faster on terms with many nested lambda abstractions (cubic
  4347 instead of exponential time).
  4348 
  4349 * New syntax for domain package: selector names are now optional.
  4350 Parentheses should be omitted unless argument is lazy, for example:
  4351 
  4352   domain 'a stream = cons "'a" (lazy "'a stream")
  4353 
  4354 * New command 'fixrec' for defining recursive functions with pattern
  4355 matching; defining multiple functions with mutual recursion is also
  4356 supported.  Patterns may include the constants cpair, spair, up, sinl,
  4357 sinr, or any data constructor defined by the domain package. The given
  4358 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  4359 syntax and examples.
  4360 
  4361 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  4362 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  4363 but the proof obligation additionally includes an admissibility
  4364 requirement. The packages generate instances of class cpo or pcpo,
  4365 with continuity and strictness theorems for Rep and Abs.
  4366 
  4367 * HOLCF: Many theorems have been renamed according to a more standard naming
  4368 scheme (INCOMPATIBILITY):
  4369 
  4370   foo_inject:  "foo$x = foo$y ==> x = y"
  4371   foo_eq:      "(foo$x = foo$y) = (x = y)"
  4372   foo_less:    "(foo$x << foo$y) = (x << y)"
  4373   foo_strict:  "foo$UU = UU"
  4374   foo_defined: "... ==> foo$x ~= UU"
  4375   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  4376 
  4377 
  4378 *** ZF ***
  4379 
  4380 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  4381 including the First Isomorphism Theorem (on quotienting by the kernel
  4382 of a homomorphism).
  4383 
  4384 * ZF/Simplifier: install second copy of type solver that actually
  4385 makes use of TC rules declared to Isar proof contexts (or locales);
  4386 the old version is still required for ML proof scripts.
  4387 
  4388 
  4389 *** Cube ***
  4390 
  4391 * Converted to Isar theory format; use locales instead of axiomatic
  4392 theories.
  4393 
  4394 
  4395 *** ML ***
  4396 
  4397 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  4398 for ||>, ||>>, |>>,
  4399 
  4400 * Pure/library.ML no longer defines its own option datatype, but uses
  4401 that of the SML basis, which has constructors NONE and SOME instead of
  4402 None and Some, as well as exception Option.Option instead of OPTION.
  4403 The functions the, if_none, is_some, is_none have been adapted
  4404 accordingly, while Option.map replaces apsome.
  4405 
  4406 * Pure/library.ML: the exception LIST has been given up in favour of
  4407 the standard exceptions Empty and Subscript, as well as
  4408 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  4409 superceded by the standard hd and tl functions etc.
  4410 
  4411 A number of basic list functions are no longer exported to the ML
  4412 toplevel, as they are variants of predefined functions.  The following
  4413 suggests how one can translate existing code:
  4414 
  4415     rev_append xs ys = List.revAppend (xs, ys)
  4416     nth_elem (i, xs) = List.nth (xs, i)
  4417     last_elem xs = List.last xs
  4418     flat xss = List.concat xss
  4419     seq fs = List.app fs
  4420     partition P xs = List.partition P xs
  4421     mapfilter f xs = List.mapPartial f xs
  4422 
  4423 * Pure/library.ML: several combinators for linear functional
  4424 transformations, notably reverse application and composition:
  4425 
  4426   x |> f                f #> g
  4427   (x, y) |-> f          f #-> g
  4428 
  4429 * Pure/library.ML: introduced/changed precedence of infix operators:
  4430 
  4431   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  4432   infix 2 ?;
  4433   infix 3 o oo ooo oooo;
  4434   infix 4 ~~ upto downto;
  4435 
  4436 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  4437 infix operators.
  4438 
  4439 * Pure/library.ML: natural list combinators fold, fold_rev, and
  4440 fold_map support linear functional transformations and nesting.  For
  4441 example:
  4442 
  4443   fold f [x1, ..., xN] y =
  4444     y |> f x1 |> ... |> f xN
  4445 
  4446   (fold o fold) f [xs1, ..., xsN] y =
  4447     y |> fold f xs1 |> ... |> fold f xsN
  4448 
  4449   fold f [x1, ..., xN] =
  4450     f x1 #> ... #> f xN
  4451 
  4452   (fold o fold) f [xs1, ..., xsN] =
  4453     fold f xs1 #> ... #> fold f xsN
  4454 
  4455 * Pure/library.ML: the following selectors on type 'a option are
  4456 available:
  4457 
  4458   the:               'a option -> 'a  (*partial*)
  4459   these:             'a option -> 'a  where 'a = 'b list
  4460   the_default: 'a -> 'a option -> 'a
  4461   the_list:          'a option -> 'a list
  4462 
  4463 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4464 basic operations for association lists, following natural argument
  4465 order; moreover the explicit equality predicate passed here avoids
  4466 potentially expensive polymorphic runtime equality checks.
  4467 The old functions may be expressed as follows:
  4468 
  4469   assoc = uncurry (AList.lookup (op =))
  4470   assocs = these oo AList.lookup (op =)
  4471   overwrite = uncurry (AList.update (op =)) o swap
  4472 
  4473 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4474 
  4475   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  4476   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  4477 
  4478 replacing make_keylist and keyfilter (occassionally used)
  4479 Naive rewrites:
  4480 
  4481   make_keylist = AList.make
  4482   keyfilter = AList.find (op =)
  4483 
  4484 * eq_fst and eq_snd now take explicit equality parameter, thus
  4485   avoiding eqtypes. Naive rewrites:
  4486 
  4487     eq_fst = eq_fst (op =)
  4488     eq_snd = eq_snd (op =)
  4489 
  4490 * Removed deprecated apl and apr (rarely used).
  4491   Naive rewrites:
  4492 
  4493     apl (n, op) =>>= curry op n
  4494     apr (op, m) =>>= fn n => op (n, m)
  4495 
  4496 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  4497 provides a reasonably efficient light-weight implementation of sets as
  4498 lists.
  4499 
  4500 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  4501 few new operations; existing lookup and update are now curried to
  4502 follow natural argument order (for use with fold etc.);
  4503 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  4504 
  4505 * Pure/General: output via the Isabelle channels of
  4506 writeln/warning/error etc. is now passed through Output.output, with a
  4507 hook for arbitrary transformations depending on the print_mode
  4508 (cf. Output.add_mode -- the first active mode that provides a output
  4509 function wins).  Already formatted output may be embedded into further
  4510 text via Output.raw; the result of Pretty.string_of/str_of and derived
  4511 functions (string_of_term/cterm/thm etc.) is already marked raw to
  4512 accommodate easy composition of diagnostic messages etc.  Programmers
  4513 rarely need to care about Output.output or Output.raw at all, with
  4514 some notable exceptions: Output.output is required when bypassing the
  4515 standard channels (writeln etc.), or in token translations to produce
  4516 properly formatted results; Output.raw is required when capturing
  4517 already output material that will eventually be presented to the user
  4518 a second time.  For the default print mode, both Output.output and
  4519 Output.raw have no effect.
  4520 
  4521 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  4522 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  4523 cumulative results are displayed at the end of a batch session.
  4524 
  4525 * Pure/General: File.sysify_path and File.quote_sysify path have been
  4526 replaced by File.platform_path and File.shell_path (with appropriate
  4527 hooks).  This provides a clean interface for unusual systems where the
  4528 internal and external process view of file names are different.
  4529 
  4530 * Pure: more efficient orders for basic syntactic entities: added
  4531 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  4532 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  4533 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  4534 orders now -- potential INCOMPATIBILITY for code that depends on a
  4535 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  4536 Library.sort_strings on result).
  4537 
  4538 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  4539 fold_types traverse types/terms from left to right, observing natural
  4540 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  4541 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  4542 
  4543 * Pure: name spaces have been refined, with significant changes of the
  4544 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  4545 to extern(_table).  The plain name entry path is superceded by a
  4546 general 'naming' context, which also includes the 'policy' to produce
  4547 a fully qualified name and external accesses of a fully qualified
  4548 name; NameSpace.extend is superceded by context dependent
  4549 Sign.declare_name.  Several theory and proof context operations modify
  4550 the naming context.  Especially note Theory.restore_naming and
  4551 ProofContext.restore_naming to get back to a sane state; note that
  4552 Theory.add_path is no longer sufficient to recover from
  4553 Theory.absolute_path in particular.
  4554 
  4555 * Pure: new flags short_names (default false) and unique_names
  4556 (default true) for controlling output of qualified names.  If
  4557 short_names is set, names are printed unqualified.  If unique_names is
  4558 reset, the name prefix is reduced to the minimum required to achieve
  4559 the original result when interning again, even if there is an overlap
  4560 with earlier declarations.
  4561 
  4562 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  4563 now 'extend', and 'merge' gets an additional Pretty.pp argument
  4564 (useful for printing error messages).  INCOMPATIBILITY.
  4565 
  4566 * Pure: major reorganization of the theory context.  Type Sign.sg and
  4567 Theory.theory are now identified, referring to the universal
  4568 Context.theory (see Pure/context.ML).  Actual signature and theory
  4569 content is managed as theory data.  The old code and interfaces were
  4570 spread over many files and structures; the new arrangement introduces
  4571 considerable INCOMPATIBILITY to gain more clarity:
  4572 
  4573   Context -- theory management operations (name, identity, inclusion,
  4574     parents, ancestors, merge, etc.), plus generic theory data;
  4575 
  4576   Sign -- logical signature and syntax operations (declaring consts,
  4577     types, etc.), plus certify/read for common entities;
  4578 
  4579   Theory -- logical theory operations (stating axioms, definitions,
  4580     oracles), plus a copy of logical signature operations (consts,
  4581     types, etc.); also a few basic management operations (Theory.copy,
  4582     Theory.merge, etc.)
  4583 
  4584 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  4585 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  4586 for convenience -- they merely return the theory.
  4587 
  4588 * Pure: type Type.tsig is superceded by theory in most interfaces.
  4589 
  4590 * Pure: the Isar proof context type is already defined early in Pure
  4591 as Context.proof (note that ProofContext.context and Proof.context are
  4592 aliases, where the latter is the preferred name).  This enables other
  4593 Isabelle components to refer to that type even before Isar is present.
  4594 
  4595 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  4596 typeK, constK, axiomK, oracleK), but provide explicit operations for
  4597 any of these kinds.  For example, Sign.intern typeK is now
  4598 Sign.intern_type, Theory.hide_space Sign.typeK is now
  4599 Theory.hide_types.  Also note that former
  4600 Theory.hide_classes/types/consts are now
  4601 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  4602 internalize their arguments!  INCOMPATIBILITY.
  4603 
  4604 * Pure: get_thm interface (of PureThy and ProofContext) expects
  4605 datatype thmref (with constructors Name and NameSelection) instead of
  4606 plain string -- INCOMPATIBILITY;
  4607 
  4608 * Pure: cases produced by proof methods specify options, where NONE
  4609 means to remove case bindings -- INCOMPATIBILITY in
  4610 (RAW_)METHOD_CASES.
  4611 
  4612 * Pure: the following operations retrieve axioms or theorems from a
  4613 theory node or theory hierarchy, respectively:
  4614 
  4615   Theory.axioms_of: theory -> (string * term) list
  4616   Theory.all_axioms_of: theory -> (string * term) list
  4617   PureThy.thms_of: theory -> (string * thm) list
  4618   PureThy.all_thms_of: theory -> (string * thm) list
  4619 
  4620 * Pure: print_tac now outputs the goal through the trace channel.
  4621 
  4622 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  4623 Reference Toplevel.debug (default false) controls detailed printing
  4624 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  4625 controls execution profiling -- set to 1 for time and 2 for space
  4626 (both increase the runtime).
  4627 
  4628 * Isar session: The initial use of ROOT.ML is now always timed,
  4629 i.e. the log will show the actual process times, in contrast to the
  4630 elapsed wall-clock time that the outer shell wrapper produces.
  4631 
  4632 * Simplifier: improved handling of bound variables (nameless
  4633 representation, avoid allocating new strings).  Simprocs that invoke
  4634 the Simplifier recursively should use Simplifier.inherit_bounds to
  4635 avoid local name clashes.  Failure to do so produces warnings
  4636 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  4637 for further details.
  4638 
  4639 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  4640 bindings for all theorems stored within a given theory; this may help
  4641 in porting non-Isar theories to Isar ones, while keeping ML proof
  4642 scripts for the time being.
  4643 
  4644 * ML operator HTML.with_charset specifies the charset begin used for
  4645 generated HTML files.  For example:
  4646 
  4647   HTML.with_charset "utf-8" use_thy "Hebrew";
  4648   HTML.with_charset "utf-8" use_thy "Chinese";
  4649 
  4650 
  4651 *** System ***
  4652 
  4653 * Allow symlinks to all proper Isabelle executables (Isabelle,
  4654 isabelle, isatool etc.).
  4655 
  4656 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  4657 isatool doc, isatool mkdir, display_drafts etc.).
  4658 
  4659 * isatool usedir: option -f allows specification of the ML file to be
  4660 used by Isabelle; default is ROOT.ML.
  4661 
  4662 * New isatool version outputs the version identifier of the Isabelle
  4663 distribution being used.
  4664 
  4665 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  4666 (containing Boolean satisfiability problems) into Isabelle/HOL
  4667 theories.
  4668 
  4669 
  4670 
  4671 New in Isabelle2004 (April 2004)
  4672 --------------------------------
  4673 
  4674 *** General ***
  4675 
  4676 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  4677   Replaces linorder.ML.
  4678 
  4679 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  4680   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  4681   (\<a>...\<z>), are now considered normal letters, and can therefore
  4682   be used anywhere where an ASCII letter (a...zA...Z) has until
  4683   now. COMPATIBILITY: This obviously changes the parsing of some
  4684   terms, especially where a symbol has been used as a binder, say
  4685   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  4686   as an identifier.  Fix it by inserting a space around former
  4687   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  4688   existing theory and ML files.
  4689 
  4690 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  4691 
  4692 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  4693   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  4694   a normal (but invisible) letter. For multiple letter subscripts repeat
  4695   \<^isub> like this: x\<^isub>1\<^isub>2.
  4696 
  4697 * Pure: There are now sub-/superscripts that can span more than one
  4698   character. Text between \<^bsub> and \<^esub> is set in subscript in
  4699   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  4700   superscript. The new control characters are not identifier parts.
  4701 
  4702 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  4703   content of "..." to the latex file instead of \isacntrl... . The "..."
  4704   may consist of any printable characters excluding the end bracket >.
  4705 
  4706 * Pure: Using new Isar command "finalconsts" (or the ML functions
  4707   Theory.add_finals or Theory.add_finals_i) it is now possible to
  4708   declare constants "final", which prevents their being given a definition
  4709   later.  It is useful for constants whose behaviour is fixed axiomatically
  4710   rather than definitionally, such as the meta-logic connectives.
  4711 
  4712 * Pure: 'instance' now handles general arities with general sorts
  4713   (i.e. intersections of classes),
  4714 
  4715 * Presentation: generated HTML now uses a CSS style sheet to make layout
  4716   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  4717   It can be changed to alter the colors/layout of generated pages.
  4718 
  4719 
  4720 *** Isar ***
  4721 
  4722 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  4723   cut_tac, subgoal_tac and thin_tac:
  4724   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  4725     locales are no longer forced to write Isar proof scripts.
  4726     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  4727     emulations.
  4728   - INCOMPATIBILITY: names of variables to be instantiated may no
  4729     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  4730     This is consistent with the instantiation attribute "where".
  4731 
  4732 * Attributes "where" and "of":
  4733   - Now take type variables of instantiated theorem into account when reading
  4734     the instantiation string.  This fixes a bug that caused instantiated
  4735     theorems to have too special types in some circumstances.
  4736   - "where" permits explicit instantiations of type variables.
  4737 
  4738 * Calculation commands "moreover" and "also" no longer interfere with
  4739   current facts ("this"), admitting arbitrary combinations with "then"
  4740   and derived forms.
  4741 
  4742 * Locales:
  4743   - Goal statements involving the context element "includes" no longer
  4744     generate theorems with internal delta predicates (those ending on
  4745     "_axioms") in the premise.
  4746     Resolve particular premise with <locale>.intro to obtain old form.
  4747   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  4748     specification and "includes" elements in goal statement.
  4749   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  4750     [intro?] and [elim?] (respectively) by default.
  4751   - Experimental command for instantiation of locales in proof contexts:
  4752         instantiate <label>[<attrs>]: <loc>
  4753     Instantiates locale <loc> and adds all its theorems to the current context
  4754     taking into account their attributes.  Label and attrs are optional
  4755     modifiers, like in theorem declarations.  If present, names of
  4756     instantiated theorems are qualified with <label>, and the attributes
  4757     <attrs> are applied after any attributes these theorems might have already.
  4758       If the locale has assumptions, a chained fact of the form
  4759     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  4760     are derived.  The command does not support old-style locales declared
  4761     with "locale (open)".
  4762       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  4763 
  4764 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  4765   (Isar) contexts.
  4766 
  4767 
  4768 *** HOL ***
  4769 
  4770 * Proof import: new image HOL4 contains the imported library from
  4771   the HOL4 system with about 2500 theorems. It is imported by
  4772   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  4773   can be used like any other Isabelle image.  See
  4774   HOL/Import/HOL/README for more information.
  4775 
  4776 * Simplifier:
  4777   - Much improved handling of linear and partial orders.
  4778     Reasoners for linear and partial orders are set up for type classes
  4779     "linorder" and "order" respectively, and are added to the default simpset
  4780     as solvers.  This means that the simplifier can build transitivity chains
  4781     to solve goals from the assumptions.
  4782   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  4783     of blast or auto after simplification become unnecessary because the goal
  4784     is solved by simplification already.
  4785 
  4786 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  4787     all proved in axiomatic type classes for semirings, rings and fields.
  4788 
  4789 * Numerics:
  4790   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  4791     now formalized using the Ring_and_Field theory mentioned above.
  4792   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  4793     than before, because now they are set up once in a generic manner.
  4794   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  4795     Look for the general versions in Ring_and_Field (and Power if they concern
  4796     exponentiation).
  4797 
  4798 * Type "rat" of the rational numbers is now available in HOL-Complex.
  4799 
  4800 * Records:
  4801   - Record types are now by default printed with their type abbreviation
  4802     instead of the list of all field types. This can be configured via
  4803     the reference "print_record_type_abbr".
  4804   - Simproc "record_upd_simproc" for simplification of multiple updates added
  4805     (not enabled by default).
  4806   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  4807     EX x. x = sel r to True (not enabled by default).
  4808   - Tactic "record_split_simp_tac" to split and simplify records added.
  4809 
  4810 * 'specification' command added, allowing for definition by
  4811   specification.  There is also an 'ax_specification' command that
  4812   introduces the new constants axiomatically.
  4813 
  4814 * arith(_tac) is now able to generate counterexamples for reals as well.
  4815 
  4816 * HOL-Algebra: new locale "ring" for non-commutative rings.
  4817 
  4818 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  4819   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  4820 
  4821 * HOL-Matrix: a first theory for matrices in HOL with an application of
  4822   matrix theory to linear programming.
  4823 
  4824 * Unions and Intersections:
  4825   The latex output syntax of UN and INT has been changed
  4826   from "\Union x \in A. B" to "\Union_{x \in A} B"
  4827   i.e. the index formulae has become a subscript.
  4828   Similarly for "\Union x. B", and for \Inter instead of \Union.
  4829 
  4830 * Unions and Intersections over Intervals:
  4831   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  4832   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  4833   like in normal math, and corresponding versions for < and for intersection.
  4834 
  4835 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  4836   lexicographic dictonary ordering has been added as "lexord".
  4837 
  4838 * ML: the legacy theory structures Int and List have been removed. They had
  4839   conflicted with ML Basis Library structures having the same names.
  4840 
  4841 * 'refute' command added to search for (finite) countermodels.  Only works
  4842   for a fragment of HOL.  The installation of an external SAT solver is
  4843   highly recommended.  See "HOL/Refute.thy" for details.
  4844 
  4845 * 'quickcheck' command: Allows to find counterexamples by evaluating
  4846   formulae under an assignment of free variables to random values.
  4847   In contrast to 'refute', it can deal with inductive datatypes,
  4848   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  4849   for examples.
  4850 
  4851 
  4852 *** HOLCF ***
  4853 
  4854 * Streams now come with concatenation and are part of the HOLCF image
  4855 
  4856 
  4857 
  4858 New in Isabelle2003 (May 2003)
  4859 ------------------------------
  4860 
  4861 *** General ***
  4862 
  4863 * Provers/simplifier:
  4864 
  4865   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  4866     Assumptions are now subject to complete mutual simplification,
  4867     not just from left to right. The simplifier now preserves
  4868     the order of assumptions.
  4869 
  4870     Potential INCOMPATIBILITY:
  4871 
  4872     -- simp sometimes diverges where the old version did
  4873        not, e.g. invoking simp on the goal
  4874 
  4875         [| P (f x); y = x; f x = f y |] ==> Q
  4876 
  4877        now gives rise to the infinite reduction sequence
  4878 
  4879         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  4880 
  4881        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  4882        kind of problem.
  4883 
  4884     -- Tactics combining classical reasoner and simplification (such as auto)
  4885        are also affected by this change, because many of them rely on
  4886        simp. They may sometimes diverge as well or yield a different numbers
  4887        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  4888        in case of problems. Sometimes subsequent calls to the classical
  4889        reasoner will fail because a preceeding call to the simplifier too
  4890        eagerly simplified the goal, e.g. deleted redundant premises.
  4891 
  4892   - The simplifier trace now shows the names of the applied rewrite rules
  4893 
  4894   - You can limit the number of recursive invocations of the simplifier
  4895     during conditional rewriting (where the simplifie tries to solve the
  4896     conditions before applying the rewrite rule):
  4897     ML "simp_depth_limit := n"
  4898     where n is an integer. Thus you can force termination where previously
  4899     the simplifier would diverge.
  4900 
  4901   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  4902 
  4903   - No longer aborts on failed congruence proof.  Instead, the
  4904     congruence is ignored.
  4905 
  4906 * Pure: New generic framework for extracting programs from constructive
  4907   proofs. See HOL/Extraction.thy for an example instantiation, as well
  4908   as HOL/Extraction for some case studies.
  4909 
  4910 * Pure: The main goal of the proof state is no longer shown by default, only
  4911 the subgoals. This behaviour is controlled by a new flag.
  4912    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  4913 (ML: Proof.show_main_goal).
  4914 
  4915 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  4916 rules whose conclusion matches subgoal 1:
  4917       PG menu: Isabelle/Isar -> Show me -> matching rules
  4918 The rules are ordered by how closely they match the subgoal.
  4919 In particular, rules that solve a subgoal outright are displayed first
  4920 (or rather last, the way they are printed).
  4921 (ML: ProofGeneral.print_intros())
  4922 
  4923 * Pure: New flag trace_unify_fail causes unification to print
  4924 diagnostic information (PG: in trace buffer) when it fails. This is
  4925 useful for figuring out why single step proofs like rule, erule or
  4926 assumption failed.
  4927 
  4928 * Pure: Locale specifications now produce predicate definitions
  4929 according to the body of text (covering assumptions modulo local
  4930 definitions); predicate "loc_axioms" covers newly introduced text,
  4931 while "loc" is cumulative wrt. all included locale expressions; the
  4932 latter view is presented only on export into the global theory
  4933 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  4934 on the old view without predicates;
  4935 
  4936 * Pure: predefined locales "var" and "struct" are useful for sharing
  4937 parameters (as in CASL, for example); just specify something like
  4938 ``var x + var y + struct M'' as import;
  4939 
  4940 * Pure: improved thms_containing: proper indexing of facts instead of
  4941 raw theorems; check validity of results wrt. current name space;
  4942 include local facts of proof configuration (also covers active
  4943 locales), cover fixed variables in index; may use "_" in term
  4944 specification; an optional limit for the number of printed facts may
  4945 be given (the default is 40);
  4946 
  4947 * Pure: disallow duplicate fact bindings within new-style theory files
  4948 (batch-mode only);
  4949 
  4950 * Provers: improved induct method: assumptions introduced by case
  4951 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  4952 the goal statement); "foo" still refers to all facts collectively;
  4953 
  4954 * Provers: the function blast.overloaded has been removed: all constants
  4955 are regarded as potentially overloaded, which improves robustness in exchange
  4956 for slight decrease in efficiency;
  4957 
  4958 * Provers/linorder: New generic prover for transitivity reasoning over
  4959 linear orders.  Note: this prover is not efficient!
  4960 
  4961 * Isar: preview of problems to finish 'show' now produce an error
  4962 rather than just a warning (in interactive mode);
  4963 
  4964 
  4965 *** HOL ***
  4966 
  4967 * arith(_tac)
  4968 
  4969  - Produces a counter example if it cannot prove a goal.
  4970    Note that the counter example may be spurious if the goal is not a formula
  4971    of quantifier-free linear arithmetic.
  4972    In ProofGeneral the counter example appears in the trace buffer.
  4973 
  4974  - Knows about div k and mod k where k is a numeral of type nat or int.
  4975 
  4976  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  4977    linear arithmetic fails. This takes account of quantifiers and divisibility.
  4978    Presburger arithmetic can also be called explicitly via presburger(_tac).
  4979 
  4980 * simp's arithmetic capabilities have been enhanced a bit: it now
  4981 takes ~= in premises into account (by performing a case split);
  4982 
  4983 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  4984 are distributed over a sum of terms;
  4985 
  4986 * New tactic "trans_tac" and method "trans" instantiate
  4987 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  4988 "<=", "<" and "=").
  4989 
  4990 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  4991 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  4992 
  4993 * 'typedef' command has new option "open" to suppress the set
  4994 definition;
  4995 
  4996 * functions Min and Max on finite sets have been introduced (theory
  4997 Finite_Set);
  4998 
  4999 * attribute [symmetric] now works for relations as well; it turns
  5000 (x,y) : R^-1 into (y,x) : R, and vice versa;
  5001 
  5002 * induct over a !!-quantified statement (say !!x1..xn):
  5003   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  5004 
  5005 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  5006 %x. None. Warning: empty_def now refers to the previously hidden definition
  5007 of the empty set.
  5008 
  5009 * Algebra: formalization of classical algebra.  Intended as base for
  5010 any algebraic development in Isabelle.  Currently covers group theory
  5011 (up to Sylow's theorem) and ring theory (Universal Property of
  5012 Univariate Polynomials).  Contributions welcome;
  5013 
  5014 * GroupTheory: deleted, since its material has been moved to Algebra;
  5015 
  5016 * Complex: new directory of the complex numbers with numeric constants,
  5017 nonstandard complex numbers, and some complex analysis, standard and
  5018 nonstandard (Jacques Fleuriot);
  5019 
  5020 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  5021 
  5022 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  5023 Fleuriot);
  5024 
  5025 * Real/HahnBanach: updated and adapted to locales;
  5026 
  5027 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  5028 Gray and Kramer);
  5029 
  5030 * UNITY: added the Meier-Sanders theory of progress sets;
  5031 
  5032 * MicroJava: bytecode verifier and lightweight bytecode verifier
  5033 as abstract algorithms, instantiated to the JVM;
  5034 
  5035 * Bali: Java source language formalization. Type system, operational
  5036 semantics, axiomatic semantics. Supported language features:
  5037 classes, interfaces, objects,virtual methods, static methods,
  5038 static/instance fields, arrays, access modifiers, definite
  5039 assignment, exceptions.
  5040 
  5041 
  5042 *** ZF ***
  5043 
  5044 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  5045 universe, etc.);
  5046 
  5047 * Main ZF: virtually all theories converted to new-style format;
  5048 
  5049 
  5050 *** ML ***
  5051 
  5052 * Pure: Tactic.prove provides sane interface for internal proofs;
  5053 omits the infamous "standard" operation, so this is more appropriate
  5054 than prove_goalw_cterm in many situations (e.g. in simprocs);
  5055 
  5056 * Pure: improved error reporting of simprocs;
  5057 
  5058 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  5059 up simprocs;
  5060 
  5061 
  5062 *** Document preparation ***
  5063 
  5064 * uses \par instead of \\ for line breaks in theory text. This may
  5065 shift some page breaks in large documents. To get the old behaviour
  5066 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  5067 
  5068 * minimized dependencies of isabelle.sty and isabellesym.sty on
  5069 other packages
  5070 
  5071 * \<euro> now needs package babel/greek instead of marvosym (which
  5072 broke \Rightarrow)
  5073 
  5074 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  5075 textcomp package)
  5076 
  5077 
  5078 
  5079 New in Isabelle2002 (March 2002)
  5080 --------------------------------
  5081 
  5082 *** Document preparation ***
  5083 
  5084 * greatly simplified document preparation setup, including more
  5085 graceful interpretation of isatool usedir -i/-d/-D options, and more
  5086 instructive isatool mkdir; users should basically be able to get
  5087 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  5088 users may run a separate document processing stage manually like this:
  5089 "isatool usedir -D output HOL Test && isatool document Test/output";
  5090 
  5091 * theory dependency graph may now be incorporated into documents;
  5092 isatool usedir -g true will produce session_graph.eps/.pdf for use
  5093 with \includegraphics of LaTeX;
  5094 
  5095 * proper spacing of consecutive markup elements, especially text
  5096 blocks after section headings;
  5097 
  5098 * support bold style (for single symbols only), input syntax is like
  5099 this: "\<^bold>\<alpha>" or "\<^bold>A";
  5100 
  5101 * \<bullet> is now output as bold \cdot by default, which looks much
  5102 better in printed text;
  5103 
  5104 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  5105 note that these symbols are currently unavailable in Proof General /
  5106 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  5107 
  5108 * isatool latex no longer depends on changed TEXINPUTS, instead
  5109 isatool document copies the Isabelle style files to the target
  5110 location;
  5111 
  5112 
  5113 *** Isar ***
  5114 
  5115 * Pure/Provers: improved proof by cases and induction;
  5116   - 'case' command admits impromptu naming of parameters (such as
  5117     "case (Suc n)");
  5118   - 'induct' method divinates rule instantiation from the inductive
  5119     claim; no longer requires excessive ?P bindings for proper
  5120     instantiation of cases;
  5121   - 'induct' method properly enumerates all possibilities of set/type
  5122     rules; as a consequence facts may be also passed through *type*
  5123     rules without further ado;
  5124   - 'induct' method now derives symbolic cases from the *rulified*
  5125     rule (before it used to rulify cases stemming from the internal
  5126     atomized version); this means that the context of a non-atomic
  5127     statement becomes is included in the hypothesis, avoiding the
  5128     slightly cumbersome show "PROP ?case" form;
  5129   - 'induct' may now use elim-style induction rules without chaining
  5130     facts, using ``missing'' premises from the goal state; this allows
  5131     rules stemming from inductive sets to be applied in unstructured
  5132     scripts, while still benefitting from proper handling of non-atomic
  5133     statements; NB: major inductive premises need to be put first, all
  5134     the rest of the goal is passed through the induction;
  5135   - 'induct' proper support for mutual induction involving non-atomic
  5136     rule statements (uses the new concept of simultaneous goals, see
  5137     below);
  5138   - append all possible rule selections, but only use the first
  5139     success (no backtracking);
  5140   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  5141   - undeclared rule case names default to numbers 1, 2, 3, ...;
  5142   - added 'print_induct_rules' (covered by help item in recent Proof
  5143     General versions);
  5144   - moved induct/cases attributes to Pure, methods to Provers;
  5145   - generic method setup instantiated for FOL and HOL;
  5146 
  5147 * Pure: support multiple simultaneous goal statements, for example
  5148 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  5149 meta-level mechanism, this acts as if several individual goals had
  5150 been stated separately; in particular common proof methods need to be
  5151 repeated in order to cover all claims; note that a single elimination
  5152 step is *not* sufficient to establish the two conjunctions, so this
  5153 fails:
  5154 
  5155   assume "A & B" then have A and B ..   (*".." fails*)
  5156 
  5157 better use "obtain" in situations as above; alternative refer to
  5158 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  5159 
  5160 * Pure: proper integration with ``locales''; unlike the original
  5161 version by Florian Kammller, Isar locales package high-level proof
  5162 contexts rather than raw logical ones (e.g. we admit to include
  5163 attributes everywhere); operations on locales include merge and
  5164 rename; support for implicit arguments (``structures''); simultaneous
  5165 type-inference over imports and text; see also HOL/ex/Locales.thy for
  5166 some examples;
  5167 
  5168 * Pure: the following commands have been ``localized'', supporting a
  5169 target locale specification "(in name)": 'lemma', 'theorem',
  5170 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  5171 stored both within the locale and at the theory level (exported and
  5172 qualified by the locale name);
  5173 
  5174 * Pure: theory goals may now be specified in ``long'' form, with
  5175 ad-hoc contexts consisting of arbitrary locale elements. for example
  5176 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  5177 definitions may be given, too); the result is a meta-level rule with
  5178 the context elements being discharged in the obvious way;
  5179 
  5180 * Pure: new proof command 'using' allows to augment currently used
  5181 facts after a goal statement ('using' is syntactically analogous to
  5182 'apply', but acts on the goal's facts only); this allows chained facts
  5183 to be separated into parts given before and after a claim, as in
  5184 ``from a and b have C using d and e <proof>'';
  5185 
  5186 * Pure: renamed "antecedent" case to "rule_context";
  5187 
  5188 * Pure: new 'judgment' command records explicit information about the
  5189 object-logic embedding (used by several tools internally); no longer
  5190 use hard-wired "Trueprop";
  5191 
  5192 * Pure: added 'corollary' command;
  5193 
  5194 * Pure: fixed 'token_translation' command;
  5195 
  5196 * Pure: removed obsolete 'exported' attribute;
  5197 
  5198 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  5199 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  5200 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  5201 
  5202 * Pure: method 'atomize' presents local goal premises as object-level
  5203 statements (atomic meta-level propositions); setup controlled via
  5204 rewrite rules declarations of 'atomize' attribute; example
  5205 application: 'induct' method with proper rule statements in improper
  5206 proof *scripts*;
  5207 
  5208 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  5209 now consider the syntactic context of assumptions, giving a better
  5210 chance to get type-inference of the arguments right (this is
  5211 especially important for locales);
  5212 
  5213 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  5214 mode;
  5215 
  5216 * Pure/obtain: the formal conclusion "thesis", being marked as
  5217 ``internal'', may no longer be reference directly in the text;
  5218 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  5219 situations;
  5220 
  5221 * Pure: generic 'sym' attribute which declares a rule both as pure
  5222 'elim?' and for the 'symmetric' operation;
  5223 
  5224 * Pure: marginal comments ``--'' may now occur just anywhere in the
  5225 text; the fixed correlation with particular command syntax has been
  5226 discontinued;
  5227 
  5228 * Pure: new method 'rules' is particularly well-suited for proof
  5229 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  5230 but often produces more compact proof terms with less detours;
  5231 
  5232 * Pure/Provers/classical: simplified integration with pure rule
  5233 attributes and methods; the classical "intro?/elim?/dest?"
  5234 declarations coincide with the pure ones; the "rule" method no longer
  5235 includes classically swapped intros; "intro" and "elim" methods no
  5236 longer pick rules from the context; also got rid of ML declarations
  5237 AddXIs/AddXEs/AddXDs; all of this has some potential for
  5238 INCOMPATIBILITY;
  5239 
  5240 * Provers/classical: attribute 'swapped' produces classical inversions
  5241 of introduction rules;
  5242 
  5243 * Provers/simplifier: 'simplified' attribute may refer to explicit
  5244 rules instead of full simplifier context; 'iff' attribute handles
  5245 conditional rules;
  5246 
  5247 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  5248 
  5249 * HOL: 'recdef' now fails on unfinished automated proofs, use
  5250 "(permissive)" option to recover old behavior;
  5251 
  5252 * HOL: 'inductive' no longer features separate (collective) attributes
  5253 for 'intros' (was found too confusing);
  5254 
  5255 * HOL: properly declared induction rules less_induct and
  5256 wf_induct_rule;
  5257 
  5258 
  5259 *** HOL ***
  5260 
  5261 * HOL: moved over to sane numeral syntax; the new policy is as
  5262 follows:
  5263 
  5264   - 0 and 1 are polymorphic constants, which are defined on any
  5265   numeric type (nat, int, real etc.);
  5266 
  5267   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  5268   binary representation internally;
  5269 
  5270   - type nat has special constructor Suc, and generally prefers Suc 0
  5271   over 1::nat and Suc (Suc 0) over 2::nat;
  5272 
  5273 This change may cause significant problems of INCOMPATIBILITY; here
  5274 are some hints on converting existing sources:
  5275 
  5276   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  5277   entities, so expressions involving "-" (unary or binary minus) need
  5278   to be spaced properly;
  5279 
  5280   - existing occurrences of "1" may need to be constraint "1::nat" or
  5281   even replaced by Suc 0; similar for old "2";
  5282 
  5283   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  5284 
  5285   - remove all special provisions on numerals in proofs;
  5286 
  5287 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  5288 representation (depends on bin_arith_simps in the default context);
  5289 
  5290 * HOL: symbolic syntax for x^2 (numeral 2);
  5291 
  5292 * HOL: the class of all HOL types is now called "type" rather than
  5293 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5294 in axclass/classes, instance/arities, and (usually rare) occurrences
  5295 in typings (of consts etc.); internally the class is called
  5296 "HOL.type", ML programs should refer to HOLogic.typeS;
  5297 
  5298 * HOL/record package improvements:
  5299   - new derived operations "fields" to build a partial record section,
  5300     "extend" to promote a fixed record to a record scheme, and
  5301     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5302     declared as simp by default;
  5303   - shared operations ("more", "fields", etc.) now need to be always
  5304     qualified) --- potential INCOMPATIBILITY;
  5305   - removed "make_scheme" operations (use "make" with "extend") --
  5306     INCOMPATIBILITY;
  5307   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5308   - provides cases/induct rules for use with corresponding Isar
  5309     methods (for concrete records, record schemes, concrete more
  5310     parts, and schematic more parts -- in that order);
  5311   - internal definitions directly based on a light-weight abstract
  5312     theory of product types over typedef rather than datatype;
  5313 
  5314 * HOL: generic code generator for generating executable ML code from
  5315 specifications; specific support for HOL constructs such as inductive
  5316 datatypes and sets, as well as recursive functions; can be invoked
  5317 via 'generate_code' theory section;
  5318 
  5319 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5320 
  5321 * HOL: consolidated and renamed several theories.  In particular:
  5322         Ord.thy has been absorbed into HOL.thy
  5323         String.thy has been absorbed into List.thy
  5324 
  5325 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5326 (beware of argument permutation!);
  5327 
  5328 * HOL: linorder_less_split superseded by linorder_cases;
  5329 
  5330 * HOL/List: "nodups" renamed to "distinct";
  5331 
  5332 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5333 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5334   - Ex_def has changed, now need to use some_eq_ex
  5335 
  5336 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5337 in this (rare) case use:
  5338 
  5339   delSWrapper "split_all_tac"
  5340   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  5341 
  5342 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  5343 MAY FAIL;
  5344 
  5345 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  5346 Isabelle's type classes, ^ on functions and relations has too general
  5347 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  5348 necessary to attach explicit type constraints;
  5349 
  5350 * HOL/Relation: the prefix name of the infix "O" has been changed from
  5351 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  5352 renamed accordingly (eg "compI" -> "rel_compI").
  5353 
  5354 * HOL: syntax translations now work properly with numerals and records
  5355 expressions;
  5356 
  5357 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  5358 of "lam" -- INCOMPATIBILITY;
  5359 
  5360 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  5361 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  5362 renamed "Product_Type.unit";
  5363 
  5364 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  5365 
  5366 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  5367 the "cases" method);
  5368 
  5369 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  5370 Florian Kammller);
  5371 
  5372 * HOL/IMP: updated and converted to new-style theory format; several
  5373 parts turned into readable document, with proper Isar proof texts and
  5374 some explanations (by Gerwin Klein);
  5375 
  5376 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  5377 
  5378 * HOL-Hyperreal is now a logic image;
  5379 
  5380 
  5381 *** HOLCF ***
  5382 
  5383 * Isar: consts/constdefs supports mixfix syntax for continuous
  5384 operations;
  5385 
  5386 * Isar: domain package adapted to new-style theory format, e.g. see
  5387 HOLCF/ex/Dnat.thy;
  5388 
  5389 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  5390 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  5391 lift.induct_tac, always use UU instead of Undef;
  5392 
  5393 * HOLCF/IMP: updated and converted to new-style theory;
  5394 
  5395 
  5396 *** ZF ***
  5397 
  5398 * Isar: proper integration of logic-specific tools and packages,
  5399 including theory commands '(co)inductive', '(co)datatype',
  5400 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  5401 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  5402 
  5403 * theory Main no longer includes AC; for the Axiom of Choice, base
  5404 your theory on Main_ZFC;
  5405 
  5406 * the integer library now covers quotients and remainders, with many
  5407 laws relating division to addition, multiplication, etc.;
  5408 
  5409 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  5410 typeless version of the formalism;
  5411 
  5412 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  5413 format;
  5414 
  5415 * ZF/Induct: new directory for examples of inductive definitions,
  5416 including theory Multiset for multiset orderings; converted to
  5417 new-style theory format;
  5418 
  5419 * ZF: many new theorems about lists, ordinals, etc.;
  5420 
  5421 
  5422 *** General ***
  5423 
  5424 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  5425 variable proof controls level of detail: 0 = no proofs (only oracle
  5426 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  5427 also ref manual for further ML interfaces;
  5428 
  5429 * Pure/axclass: removed obsolete ML interface
  5430 goal_subclass/goal_arity;
  5431 
  5432 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  5433 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  5434 separate tokens, so expressions involving minus need to be spaced
  5435 properly;
  5436 
  5437 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  5438 rather than "infixl" or "infixr";
  5439 
  5440 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  5441 sort constraint specifications in type inference; e.g. "x::_::foo"
  5442 ensures that the type of "x" is of sort "foo" (but not necessarily a
  5443 type variable);
  5444 
  5445 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  5446 control output of nested => (types); the default behavior is
  5447 "type_brackets";
  5448 
  5449 * Pure/syntax: builtin parse translation for "_constify" turns valued
  5450 tokens into AST constants;
  5451 
  5452 * Pure/syntax: prefer later declarations of translations and print
  5453 translation functions; potential INCOMPATIBILITY: need to reverse
  5454 multiple declarations for same syntax element constant;
  5455 
  5456 * Pure/show_hyps reset by default (in accordance to existing Isar
  5457 practice);
  5458 
  5459 * Provers/classical: renamed addaltern to addafter, addSaltern to
  5460 addSafter;
  5461 
  5462 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  5463 as well;
  5464 
  5465 * system: tested support for MacOS X; should be able to get Isabelle +
  5466 Proof General to work in a plain Terminal after installing Poly/ML
  5467 (e.g. from the Isabelle distribution area) and GNU bash alone
  5468 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  5469 support requires further installations, e.g. from
  5470 http://fink.sourceforge.net/);
  5471 
  5472 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  5473 
  5474 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  5475 of 40 MB), cf. ML_OPTIONS;
  5476 
  5477 * system: Proof General keywords specification is now part of the
  5478 Isabelle distribution (see etc/isar-keywords.el);
  5479 
  5480 * system: support for persistent Proof General sessions (refrain from
  5481 outdating all loaded theories on startup); user may create writable
  5482 logic images like this: ``isabelle -q HOL Test'';
  5483 
  5484 * system: smart selection of Isabelle process versus Isabelle
  5485 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  5486 run both "isabelle" and "Isabelle" even if file names are badly
  5487 damaged (executable inspects the case of the first letter of its own
  5488 name); added separate "isabelle-process" and "isabelle-interface";
  5489 
  5490 * system: refrain from any attempt at filtering input streams; no
  5491 longer support ``8bit'' encoding of old isabelle font, instead proper
  5492 iso-latin characters may now be used; the related isatools
  5493 "symbolinput" and "nonascii" have disappeared as well;
  5494 
  5495 * system: removed old "xterm" interface (the print modes "xterm" and
  5496 "xterm_color" are still available for direct use in a suitable
  5497 terminal);
  5498 
  5499 
  5500 
  5501 New in Isabelle99-2 (February 2001)
  5502 -----------------------------------
  5503 
  5504 *** Overview of INCOMPATIBILITIES ***
  5505 
  5506 * HOL: please note that theories in the Library and elsewhere often use the
  5507 new-style (Isar) format; to refer to their theorems in an ML script you must
  5508 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  5509 
  5510 * HOL: inductive package no longer splits induction rule aggressively,
  5511 but only as far as specified by the introductions given; the old
  5512 format may be recovered via ML function complete_split_rule or attribute
  5513 'split_rule (complete)';
  5514 
  5515 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  5516 gfp_Tarski to gfp_unfold;
  5517 
  5518 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  5519 
  5520 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  5521 relation); infix "^^" has been renamed "``"; infix "``" has been
  5522 renamed "`"; "univalent" has been renamed "single_valued";
  5523 
  5524 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  5525 operation;
  5526 
  5527 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  5528 
  5529 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  5530 
  5531 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  5532 consequence, it is no longer monotonic wrt. the local goal context
  5533 (which is now passed through the inductive cases);
  5534 
  5535 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  5536 \<gg> to \<ggreater>;
  5537 
  5538 
  5539 *** Document preparation ***
  5540 
  5541 * \isabellestyle{NAME} selects version of Isabelle output (currently
  5542 available: are "it" for near math-mode best-style output, "sl" for
  5543 slanted text style, and "tt" for plain type-writer; if no
  5544 \isabellestyle command is given, output is according to slanted
  5545 type-writer);
  5546 
  5547 * support sub/super scripts (for single symbols only), input syntax is
  5548 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  5549 
  5550 * some more standard symbols; see Appendix A of the system manual for
  5551 the complete list of symbols defined in isabellesym.sty;
  5552 
  5553 * improved isabelle style files; more abstract symbol implementation
  5554 (should now use \isamath{...} and \isatext{...} in custom symbol
  5555 definitions);
  5556 
  5557 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  5558 state; Note that presentation of goal states does not conform to
  5559 actual human-readable proof documents.  Please do not include goal
  5560 states into document output unless you really know what you are doing!
  5561 
  5562 * proper indentation of antiquoted output with proportional LaTeX
  5563 fonts;
  5564 
  5565 * no_document ML operator temporarily disables LaTeX document
  5566 generation;
  5567 
  5568 * isatool unsymbolize tunes sources for plain ASCII communication;
  5569 
  5570 
  5571 *** Isar ***
  5572 
  5573 * Pure: Isar now suffers initial goal statements to contain unbound
  5574 schematic variables (this does not conform to actual readable proof
  5575 documents, due to unpredictable outcome and non-compositional proof
  5576 checking); users who know what they are doing may use schematic goals
  5577 for Prolog-style synthesis of proven results;
  5578 
  5579 * Pure: assumption method (an implicit finishing) now handles actual
  5580 rules as well;
  5581 
  5582 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  5583 initial goal, declare "that" only as Pure intro (only for single
  5584 steps); the "that" rule assumption may now be involved in implicit
  5585 finishing, thus ".." becomes a feasible for trivial obtains;
  5586 
  5587 * Pure: default proof step now includes 'intro_classes'; thus trivial
  5588 instance proofs may be performed by "..";
  5589 
  5590 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  5591 statements as well;
  5592 
  5593 * Pure: more robust selection of calculational rules;
  5594 
  5595 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  5596 rule (as well as the assumption rule);
  5597 
  5598 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  5599 lemmas, using the graph browser tool;
  5600 
  5601 * Pure: predict failure of "show" in interactive mode;
  5602 
  5603 * Pure: 'thms_containing' now takes actual terms as arguments;
  5604 
  5605 * HOL: improved method 'induct' --- now handles non-atomic goals
  5606 (potential INCOMPATIBILITY); tuned error handling;
  5607 
  5608 * HOL: cases and induct rules now provide explicit hints about the
  5609 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  5610 any remaining facts are inserted into the goal verbatim;
  5611 
  5612 * HOL: local contexts (aka cases) may now contain term bindings as
  5613 well; the 'cases' and 'induct' methods new provide a ?case binding for
  5614 the result to be shown in each case;
  5615 
  5616 * HOL: added 'recdef_tc' command;
  5617 
  5618 * isatool convert assists in eliminating legacy ML scripts;
  5619 
  5620 
  5621 *** HOL ***
  5622 
  5623 * HOL/Library: a collection of generic theories to be used together
  5624 with main HOL; the theory loader path already includes this directory
  5625 by default; the following existing theories have been moved here:
  5626 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  5627 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  5628 
  5629 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  5630 modelling and verification task performed in Isabelle/HOL +
  5631 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  5632 
  5633 * HOL/Algebra: special summation operator SUM no longer exists, it has
  5634 been replaced by setsum; infix 'assoc' now has priority 50 (like
  5635 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  5636 'domain', this makes the theory consistent with mathematical
  5637 literature;
  5638 
  5639 * HOL basics: added overloaded operations "inverse" and "divide"
  5640 (infix "/"), syntax for generic "abs" operation, generic summation
  5641 operator \<Sum>;
  5642 
  5643 * HOL/typedef: simplified package, provide more useful rules (see also
  5644 HOL/subset.thy);
  5645 
  5646 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  5647 now expressed as a proper nested rule (old-style tactic scripts may
  5648 require atomize_strip_tac to cope with non-atomic premises);
  5649 
  5650 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  5651 to "split_conv" (old name still available for compatibility);
  5652 
  5653 * HOL: improved concrete syntax for strings (e.g. allows translation
  5654 rules with string literals);
  5655 
  5656 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  5657  and Fleuriot's mechanization of analysis, including the transcendental
  5658  functions for the reals;
  5659 
  5660 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  5661 
  5662 
  5663 *** CTT ***
  5664 
  5665 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  5666 "lam" is displayed as TWO lambda-symbols
  5667 
  5668 * CTT: theory Main now available, containing everything (that is, Bool
  5669 and Arith);
  5670 
  5671 
  5672 *** General ***
  5673 
  5674 * Pure: the Simplifier has been implemented properly as a derived rule
  5675 outside of the actual kernel (at last!); the overall performance
  5676 penalty in practical applications is about 50%, while reliability of
  5677 the Isabelle inference kernel has been greatly improved;
  5678 
  5679 * print modes "brackets" and "no_brackets" control output of nested =>
  5680 (types) and ==> (props); the default behaviour is "brackets";
  5681 
  5682 * Provers: fast_tac (and friends) now handle actual object-logic rules
  5683 as assumptions as well;
  5684 
  5685 * system: support Poly/ML 4.0;
  5686 
  5687 * system: isatool install handles KDE version 1 or 2;
  5688 
  5689 
  5690 
  5691 New in Isabelle99-1 (October 2000)
  5692 ----------------------------------
  5693 
  5694 *** Overview of INCOMPATIBILITIES ***
  5695 
  5696 * HOL: simplification of natural numbers is much changed; to partly
  5697 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  5698 issue the following ML commands:
  5699 
  5700   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  5701   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  5702 
  5703 * HOL: simplification no longer dives into case-expressions; this is
  5704 controlled by "t.weak_case_cong" for each datatype t;
  5705 
  5706 * HOL: nat_less_induct renamed to less_induct;
  5707 
  5708 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  5709 fixsome to patch .thy and .ML sources automatically;
  5710 
  5711   select_equality  -> some_equality
  5712   select_eq_Ex     -> some_eq_ex
  5713   selectI2EX       -> someI2_ex
  5714   selectI2         -> someI2
  5715   selectI          -> someI
  5716   select1_equality -> some1_equality
  5717   Eps_sym_eq       -> some_sym_eq_trivial
  5718   Eps_eq           -> some_eq_trivial
  5719 
  5720 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  5721 
  5722 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  5723 instead);
  5724 
  5725 * HOL: the recursion equations generated by 'recdef' are now called
  5726 f.simps instead of f.rules;
  5727 
  5728 * HOL: qed_spec_mp now also handles bounded ALL as well;
  5729 
  5730 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  5731 sometimes be needed;
  5732 
  5733 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  5734 
  5735 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  5736 
  5737 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  5738 product is now "<*>" instead of "Times"; the lexicographic product is
  5739 now "<*lex*>" instead of "**";
  5740 
  5741 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  5742 of main HOL, but was unused); better use HOL's datatype package;
  5743 
  5744 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  5745 the old syntax may be recovered as follows:
  5746 
  5747   syntax (symbols)
  5748     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  5749       (infixl "\\<oplus>" 100)
  5750 
  5751 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5752 
  5753 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  5754 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  5755 internally;
  5756 
  5757 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  5758 changed from A/r to A//r;
  5759 
  5760 * ZF: new treatment of arithmetic (nat & int) may break some old
  5761 proofs;
  5762 
  5763 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  5764 rulify -> rule_format, elimify -> elim_format, ...);
  5765 
  5766 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5767 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  5768 should have to change intro!! to intro? only); replaced "delrule" by
  5769 "rule del";
  5770 
  5771 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  5772 
  5773 * Provers: strengthened force_tac by using new first_best_tac;
  5774 
  5775 * LaTeX document preparation: several changes of isabelle.sty (see
  5776 lib/texinputs);
  5777 
  5778 
  5779 *** Document preparation ***
  5780 
  5781 * formal comments (text blocks etc.) in new-style theories may now
  5782 contain antiquotations of thm/prop/term/typ/text to be presented
  5783 according to latex print mode; concrete syntax is like this:
  5784 @{term[show_types] "f(x) = a + x"};
  5785 
  5786 * isatool mkdir provides easy setup of Isabelle session directories,
  5787 including proper document sources;
  5788 
  5789 * generated LaTeX sources are now deleted after successful run
  5790 (isatool document -c); may retain a copy somewhere else via -D option
  5791 of isatool usedir;
  5792 
  5793 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  5794 style files, achieving self-contained LaTeX sources and simplifying
  5795 LaTeX debugging;
  5796 
  5797 * old-style theories now produce (crude) LaTeX output as well;
  5798 
  5799 * browser info session directories are now self-contained (may be put
  5800 on WWW server seperately); improved graphs of nested sessions; removed
  5801 graph for 'all sessions';
  5802 
  5803 * several improvements in isabelle style files; \isabellestyle{it}
  5804 produces fake math mode output; \isamarkupheader is now \section by
  5805 default; see lib/texinputs/isabelle.sty etc.;
  5806 
  5807 
  5808 *** Isar ***
  5809 
  5810 * Isar/Pure: local results and corresponding term bindings are now
  5811 subject to Hindley-Milner polymorphism (similar to ML); this
  5812 accommodates incremental type-inference very nicely;
  5813 
  5814 * Isar/Pure: new derived language element 'obtain' supports
  5815 generalized existence reasoning;
  5816 
  5817 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  5818 support accumulation of results, without applying any rules yet;
  5819 useful to collect intermediate results without explicit name
  5820 references, and for use with transitivity rules with more than 2
  5821 premises;
  5822 
  5823 * Isar/Pure: scalable support for case-analysis type proofs: new
  5824 'case' language element refers to local contexts symbolically, as
  5825 produced by certain proof methods; internally, case names are attached
  5826 to theorems as "tags";
  5827 
  5828 * Isar/Pure: theory command 'hide' removes declarations from
  5829 class/type/const name spaces;
  5830 
  5831 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  5832 indicate potential overloading;
  5833 
  5834 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  5835 
  5836 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  5837 "{a,b,c}" instead of {a,b,c};
  5838 
  5839 * Isar/Pure now provides its own version of intro/elim/dest
  5840 attributes; useful for building new logics, but beware of confusion
  5841 with the version in Provers/classical;
  5842 
  5843 * Isar/Pure: the local context of (non-atomic) goals is provided via
  5844 case name 'antecedent';
  5845 
  5846 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  5847 to the current context is now done automatically);
  5848 
  5849 * Isar/Pure: theory command 'method_setup' provides a simple interface
  5850 for definining proof methods in ML;
  5851 
  5852 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5853 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  5854 most cases, one should have to change intro!! to intro? only);
  5855 replaced "delrule" by "rule del";
  5856 
  5857 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  5858 'symmetric' attribute (the latter supercedes [RS sym]);
  5859 
  5860 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  5861 method modifier); 'simp' method: 'only:' modifier removes loopers as
  5862 well (including splits);
  5863 
  5864 * Isar/Provers: Simplifier and Classical methods now support all kind
  5865 of modifiers used in the past, including 'cong', 'iff', etc.
  5866 
  5867 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  5868 of Simplifier and Classical reasoner);
  5869 
  5870 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  5871 now support named cases; major packages (inductive, datatype, primrec,
  5872 recdef) support case names and properly name parameters;
  5873 
  5874 * Isar/HOL: new transitivity rules for substitution in inequalities --
  5875 monotonicity conditions are extracted to be proven at end of
  5876 calculations;
  5877 
  5878 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  5879 method anyway;
  5880 
  5881 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  5882 split_if split_if_asm; datatype package provides theorems foo.splits =
  5883 foo.split foo.split_asm for each datatype;
  5884 
  5885 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  5886 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  5887 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  5888 use "(cases (simplified))" method in proper proof texts);
  5889 
  5890 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  5891 
  5892 * Isar: names of theorems etc. may be natural numbers as well;
  5893 
  5894 * Isar: 'pr' command: optional arguments for goals_limit and
  5895 ProofContext.prems_limit; no longer prints theory contexts, but only
  5896 proof states;
  5897 
  5898 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  5899 additional print modes to be specified; e.g. "pr(latex)" will print
  5900 proof state according to the Isabelle LaTeX style;
  5901 
  5902 * Isar: improved support for emulating tactic scripts, including proof
  5903 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  5904 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  5905 (for HOL datatypes);
  5906 
  5907 * Isar: simplified (more robust) goal selection of proof methods: 1st
  5908 goal, all goals, or explicit goal specifier (tactic emulation); thus
  5909 'proof method scripts' have to be in depth-first order;
  5910 
  5911 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  5912 
  5913 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  5914 should instead use individual commands for printing items
  5915 (print_commands, print_methods etc.);
  5916 
  5917 * Isar: added 'nothing' --- the empty list of theorems;
  5918 
  5919 
  5920 *** HOL ***
  5921 
  5922 * HOL/MicroJava: formalization of a fragment of Java, together with a
  5923 corresponding virtual machine and a specification of its bytecode
  5924 verifier and a lightweight bytecode verifier, including proofs of
  5925 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  5926 Cornelia Pusch (see also the homepage of project Bali at
  5927 http://isabelle.in.tum.de/Bali/);
  5928 
  5929 * HOL/Algebra: new theory of rings and univariate polynomials, by
  5930 Clemens Ballarin;
  5931 
  5932 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  5933 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  5934 Rasmussen;
  5935 
  5936 * HOL/Lattice: fundamental concepts of lattice theory and order
  5937 structures, including duals, properties of bounds versus algebraic
  5938 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  5939 Theorem for complete lattices etc.; may also serve as a demonstration
  5940 for abstract algebraic reasoning using axiomatic type classes, and
  5941 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  5942 
  5943 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  5944 von Oheimb;
  5945 
  5946 * HOL/IMPP: extension of IMP with local variables and mutually
  5947 recursive procedures, by David von Oheimb;
  5948 
  5949 * HOL/Lambda: converted into new-style theory and document;
  5950 
  5951 * HOL/ex/Multiquote: example of multiple nested quotations and
  5952 anti-quotations -- basically a generalized version of de-Bruijn
  5953 representation; very useful in avoiding lifting of operations;
  5954 
  5955 * HOL/record: added general record equality rule to simpset; fixed
  5956 select-update simplification procedure to handle extended records as
  5957 well; admit "r" as field name;
  5958 
  5959 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  5960 other numeric types and also as the identity of groups, rings, etc.;
  5961 
  5962 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  5963 Types nat and int belong to this axclass;
  5964 
  5965 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  5966    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  5967    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  5968   two terms #m*u and #n*u are replaced by #(m+n)*u
  5969     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  5970   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  5971     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  5972 
  5973 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  5974 powerful prover for predicate logic but knows nothing of clasets; see
  5975 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  5976 
  5977 * HOL: new version of "case_tac" subsumes both boolean case split and
  5978 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  5979 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  5980 
  5981 * HOL: simplification no longer dives into case-expressions: only the
  5982 selector expression is simplified, but not the remaining arms; to
  5983 enable full simplification of case-expressions for datatype t, you may
  5984 remove t.weak_case_cong from the simpset, either globally (Delcongs
  5985 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  5986 
  5987 * HOL/recdef: the recursion equations generated by 'recdef' for
  5988 function 'f' are now called f.simps instead of f.rules; if all
  5989 termination conditions are proved automatically, these simplification
  5990 rules are added to the simpset, as in primrec; rules may be named
  5991 individually as well, resulting in a separate list of theorems for
  5992 each equation;
  5993 
  5994 * HOL/While is a new theory that provides a while-combinator. It
  5995 permits the definition of tail-recursive functions without the
  5996 provision of a termination measure. The latter is necessary once the
  5997 invariant proof rule for while is applied.
  5998 
  5999 * HOL: new (overloaded) notation for the set of elements below/above
  6000 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  6001 
  6002 * HOL: theorems impI, allI, ballI bound as "strip";
  6003 
  6004 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  6005 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  6006 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  6007 
  6008 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  6009 
  6010 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  6011 main HOL, but was unused);
  6012 
  6013 * HOL: fewer consts declared as global (e.g. have to refer to
  6014 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  6015 
  6016 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  6017 in case of overlap with user translations (e.g. judgements over
  6018 tuples); (note that the underlying logical represenation is still
  6019 bogus);
  6020 
  6021 
  6022 *** ZF ***
  6023 
  6024 * ZF: simplification automatically cancels common terms in arithmetic
  6025 expressions over nat and int;
  6026 
  6027 * ZF: new treatment of nat to minimize type-checking: all operators
  6028 coerce their operands to a natural number using the function natify,
  6029 making the algebraic laws unconditional;
  6030 
  6031 * ZF: as above, for int: operators coerce their operands to an integer
  6032 using the function intify;
  6033 
  6034 * ZF: the integer library now contains many of the usual laws for the
  6035 orderings, including $<=, and monotonicity laws for $+ and $*;
  6036 
  6037 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  6038 simplification;
  6039 
  6040 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  6041 to the simplifier and classical reasoner simultaneously;
  6042 
  6043 
  6044 *** General ***
  6045 
  6046 * Provers: blast_tac now handles actual object-logic rules as
  6047 assumptions; note that auto_tac uses blast_tac internally as well;
  6048 
  6049 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  6050 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  6051 
  6052 * Provers: delrules now handles destruct rules as well (no longer need
  6053 explicit make_elim);
  6054 
  6055 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  6056   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  6057 use instead the strong form,
  6058   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  6059 in HOL, FOL and ZF the function cla_make_elim will create such rules
  6060 from destruct-rules;
  6061 
  6062 * Provers: Simplifier.easy_setup provides a fast path to basic
  6063 Simplifier setup for new object-logics;
  6064 
  6065 * Pure: AST translation rules no longer require constant head on LHS;
  6066 
  6067 * Pure: improved name spaces: ambiguous output is qualified; support
  6068 for hiding of names;
  6069 
  6070 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  6071 XSYMBOL_HOME; no longer need to do manual configuration in most
  6072 situations;
  6073 
  6074 * system: compression of ML heaps images may now be controlled via -c
  6075 option of isabelle and isatool usedir (currently only observed by
  6076 Poly/ML);
  6077 
  6078 * system: isatool installfonts may handle X-Symbol fonts as well (very
  6079 useful for remote X11);
  6080 
  6081 * system: provide TAGS file for Isabelle sources;
  6082 
  6083 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  6084 order;
  6085 
  6086 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  6087 timing flag supersedes proof_timing and Toplevel.trace;
  6088 
  6089 * ML: new combinators |>> and |>>> for incremental transformations
  6090 with secondary results (e.g. certain theory extensions):
  6091 
  6092 * ML: PureThy.add_defs gets additional argument to indicate potential
  6093 overloading (usually false);
  6094 
  6095 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  6096 results;
  6097 
  6098 
  6099 
  6100 New in Isabelle99 (October 1999)
  6101 --------------------------------
  6102 
  6103 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6104 
  6105 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  6106 are no longer simplified.  (This allows the simplifier to unfold recursive
  6107 functional programs.)  To restore the old behaviour, declare
  6108 
  6109     Delcongs [if_weak_cong];
  6110 
  6111 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  6112 complement;
  6113 
  6114 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  6115 
  6116 * HOL/datatype: mutual_induct_tac no longer exists --
  6117   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  6118 
  6119 * HOL/typedef: fixed type inference for representing set; type
  6120 arguments now have to occur explicitly on the rhs as type constraints;
  6121 
  6122 * ZF: The con_defs part of an inductive definition may no longer refer
  6123 to constants declared in the same theory;
  6124 
  6125 * HOL, ZF: the function mk_cases, generated by the inductive
  6126 definition package, has lost an argument.  To simplify its result, it
  6127 uses the default simpset instead of a supplied list of theorems.
  6128 
  6129 * HOL/List: the constructors of type list are now Nil and Cons;
  6130 
  6131 * Simplifier: the type of the infix ML functions
  6132         setSSolver addSSolver setSolver addSolver
  6133 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  6134 for packaging solvers. A solver is created via
  6135         mk_solver: string -> (thm list -> int -> tactic) -> solver
  6136 where the string argument is only a comment.
  6137 
  6138 
  6139 *** Proof tools ***
  6140 
  6141 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  6142 decision procedure for linear arithmetic. Currently it is used for
  6143 types `nat', `int', and `real' in HOL (see below); it can, should and
  6144 will be instantiated for other types and logics as well.
  6145 
  6146 * The simplifier now accepts rewrite rules with flexible heads, eg
  6147      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  6148   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  6149   matching.
  6150 
  6151 
  6152 *** General ***
  6153 
  6154 * New Isabelle/Isar subsystem provides an alternative to traditional
  6155 tactical theorem proving; together with the ProofGeneral/isar user
  6156 interface it offers an interactive environment for developing human
  6157 readable proof documents (Isar == Intelligible semi-automated
  6158 reasoning); for further information see isatool doc isar-ref,
  6159 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  6160 
  6161 * improved and simplified presentation of theories: better HTML markup
  6162 (including colors), graph views in several sizes; isatool usedir now
  6163 provides a proper interface for user theories (via -P option); actual
  6164 document preparation based on (PDF)LaTeX is available as well (for
  6165 new-style theories only); see isatool doc system for more information;
  6166 
  6167 * native support for Proof General, both for classic Isabelle and
  6168 Isabelle/Isar;
  6169 
  6170 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  6171 using the graph browser tool;
  6172 
  6173 * Isabelle manuals now also available as PDF;
  6174 
  6175 * theory loader rewritten from scratch (may not be fully
  6176 bug-compatible); old loadpath variable has been replaced by show_path,
  6177 add_path, del_path, reset_path functions; new operations such as
  6178 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  6179 isatool doc ref);
  6180 
  6181 * improved isatool install: option -k creates KDE application icon,
  6182 option -p DIR installs standalone binaries;
  6183 
  6184 * added ML_PLATFORM setting (useful for cross-platform installations);
  6185 more robust handling of platform specific ML images for SML/NJ;
  6186 
  6187 * the settings environment is now statically scoped, i.e. it is never
  6188 created again in sub-processes invoked from isabelle, isatool, or
  6189 Isabelle;
  6190 
  6191 * path element specification '~~' refers to '$ISABELLE_HOME';
  6192 
  6193 * in locales, the "assumes" and "defines" parts may be omitted if
  6194 empty;
  6195 
  6196 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  6197 long arrows);
  6198 
  6199 * new print_mode "HTML";
  6200 
  6201 * new flag show_tags controls display of tags of theorems (which are
  6202 basically just comments that may be attached by some tools);
  6203 
  6204 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  6205 mode and goal output format:
  6206 
  6207 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  6208 244c244
  6209 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  6210 ---
  6211 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  6212 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  6213 181c181
  6214 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  6215 ---
  6216 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  6217 
  6218 * function bind_thms stores lists of theorems (cf. bind_thm);
  6219 
  6220 * new shorthand tactics ftac, eatac, datac, fatac;
  6221 
  6222 * qed (and friends) now accept "" as result name; in that case the
  6223 theorem is not stored, but proper checks and presentation of the
  6224 result still apply;
  6225 
  6226 * theorem database now also indexes constants "Trueprop", "all",
  6227 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  6228 
  6229 
  6230 *** HOL ***
  6231 
  6232 ** HOL arithmetic **
  6233 
  6234 * There are now decision procedures for linear arithmetic over nat and
  6235 int:
  6236 
  6237 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  6238 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  6239 are treated as atomic; subformulae not involving type `nat' or `int'
  6240 are ignored; quantified subformulae are ignored unless they are
  6241 positive universal or negative existential. The tactic has to be
  6242 invoked by hand and can be a little bit slow. In particular, the
  6243 running time is exponential in the number of occurrences of `min' and
  6244 `max', and `-' on `nat'.
  6245 
  6246 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  6247 (negated) (in)equalities among the premises and the conclusion into
  6248 account (i.e. no compound formulae) and does not know about `min' and
  6249 `max', and `-' on `nat'. It is fast and is used automatically by the
  6250 simplifier.
  6251 
  6252 NB: At the moment, these decision procedures do not cope with mixed
  6253 nat/int formulae where the two parts interact, such as `m < n ==>
  6254 int(m) < int(n)'.
  6255 
  6256 * HOL/Numeral provides a generic theory of numerals (encoded
  6257 efficiently as bit strings); setup for types nat/int/real is in place;
  6258 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  6259 int, existing theories and proof scripts may require a few additional
  6260 type constraints;
  6261 
  6262 * integer division and remainder can now be performed on constant
  6263 arguments;
  6264 
  6265 * many properties of integer multiplication, division and remainder
  6266 are now available;
  6267 
  6268 * An interface to the Stanford Validity Checker (SVC) is available through the
  6269 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  6270 are proved automatically.  SVC must be installed separately, and its results
  6271 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  6272 invocation of the underlying oracle).  For SVC see
  6273   http://verify.stanford.edu/SVC
  6274 
  6275 * IsaMakefile: the HOL-Real target now builds an actual image;
  6276 
  6277 
  6278 ** HOL misc **
  6279 
  6280 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  6281 (in Isabelle/Isar) -- by Gertrud Bauer;
  6282 
  6283 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  6284 analysis for assembly languages with subtypes;
  6285 
  6286 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  6287 -- avoids syntactic ambiguities and treats state, transition, and
  6288 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  6289 changed syntax and (many) tactics;
  6290 
  6291 * HOL/inductive: Now also handles more general introduction rules such
  6292   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6293   theorems are now maintained within the theory (maintained via the
  6294   "mono" attribute);
  6295 
  6296 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6297   (using function types) such as
  6298 
  6299   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6300 
  6301 * HOL/record: record_simproc (part of the default simpset) takes care
  6302 of selectors applied to updated records; record_split_tac is no longer
  6303 part of the default claset; update_defs may now be removed from the
  6304 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6305 
  6306   claset_ref () := claset() addSWrapper record_split_wrapper;
  6307   Delsimprocs [record_simproc]
  6308 
  6309 * HOL/typedef: fixed type inference for representing set; type
  6310 arguments now have to occur explicitly on the rhs as type constraints;
  6311 
  6312 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6313 names rather than an ML expression;
  6314 
  6315 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6316 supplied later.  Program schemes can be defined, such as
  6317     "While B C s = (if B s then While B C (C s) else s)"
  6318 where the well-founded relation can be chosen after B and C have been given.
  6319 
  6320 * HOL/List: the constructors of type list are now Nil and Cons;
  6321 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6322 course, ML tools referring to List.list.op # etc. have to be adapted;
  6323 
  6324 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6325 disabled by default; run isabelle with option -m HOL to get back to
  6326 the original Gordon/HOL-style output;
  6327 
  6328 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6329 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6330 
  6331 * HOL basic syntax simplified (more orthogonal): all variants of
  6332 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6333 Eps operator is provided as well: "SOME x. P[x]";
  6334 
  6335 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6336 
  6337 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  6338 thus available for user theories;
  6339 
  6340 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  6341 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  6342 time;
  6343 
  6344 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  6345 several times and then mp;
  6346 
  6347 
  6348 *** LK ***
  6349 
  6350 * the notation <<...>> is now available as a notation for sequences of
  6351 formulas;
  6352 
  6353 * the simplifier is now installed
  6354 
  6355 * the axiom system has been generalized (thanks to Soren Heilmann)
  6356 
  6357 * the classical reasoner now has a default rule database
  6358 
  6359 
  6360 *** ZF ***
  6361 
  6362 * new primrec section allows primitive recursive functions to be given
  6363 directly (as in HOL) over datatypes and the natural numbers;
  6364 
  6365 * new tactics induct_tac and exhaust_tac for induction (or case
  6366 analysis) over datatypes and the natural numbers;
  6367 
  6368 * the datatype declaration of type T now defines the recursor T_rec;
  6369 
  6370 * simplification automatically does freeness reasoning for datatype
  6371 constructors;
  6372 
  6373 * automatic type-inference, with AddTCs command to insert new
  6374 type-checking rules;
  6375 
  6376 * datatype introduction rules are now added as Safe Introduction rules
  6377 to the claset;
  6378 
  6379 * the syntax "if P then x else y" is now available in addition to
  6380 if(P,x,y);
  6381 
  6382 
  6383 *** Internal programming interfaces ***
  6384 
  6385 * tuned simplifier trace output; new flag debug_simp;
  6386 
  6387 * structures Vartab / Termtab (instances of TableFun) offer efficient
  6388 tables indexed by indexname_ord / term_ord (compatible with aconv);
  6389 
  6390 * AxClass.axclass_tac lost the theory argument;
  6391 
  6392 * tuned current_goals_markers semantics: begin / end goal avoids
  6393 printing empty lines;
  6394 
  6395 * removed prs and prs_fn hook, which was broken because it did not
  6396 include \n in its semantics, forcing writeln to add one
  6397 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  6398 string -> unit if you really want to output text without newline;
  6399 
  6400 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  6401 plain output, interface builders may have to enable 'isabelle_font'
  6402 mode to get Isabelle font glyphs as before;
  6403 
  6404 * refined token_translation interface; INCOMPATIBILITY: output length
  6405 now of type real instead of int;
  6406 
  6407 * theory loader actions may be traced via new ThyInfo.add_hook
  6408 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  6409 your own database of information attached to *whole* theories -- as
  6410 opposed to intra-theory data slots offered via TheoryDataFun;
  6411 
  6412 * proper handling of dangling sort hypotheses (at last!);
  6413 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  6414 extra sort hypotheses that can be witnessed from the type signature;
  6415 the force_strip_shyps flag is gone, any remaining shyps are simply
  6416 left in the theorem (with a warning issued by strip_shyps_warning);
  6417 
  6418 
  6419 
  6420 New in Isabelle98-1 (October 1998)
  6421 ----------------------------------
  6422 
  6423 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6424 
  6425 * several changes of automated proof tools;
  6426 
  6427 * HOL: major changes to the inductive and datatype packages, including
  6428 some minor incompatibilities of theory syntax;
  6429 
  6430 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  6431 called `inj_on';
  6432 
  6433 * HOL: removed duplicate thms in Arith:
  6434   less_imp_add_less  should be replaced by  trans_less_add1
  6435   le_imp_add_le      should be replaced by  trans_le_add1
  6436 
  6437 * HOL: unary minus is now overloaded (new type constraints may be
  6438 required);
  6439 
  6440 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  6441 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  6442 now taken as an integer constant.
  6443 
  6444 * Pure: ML function 'theory_of' renamed to 'theory';
  6445 
  6446 
  6447 *** Proof tools ***
  6448 
  6449 * Simplifier:
  6450   1. Asm_full_simp_tac is now more aggressive.
  6451      1. It will sometimes reorient premises if that increases their power to
  6452         simplify.
  6453      2. It does no longer proceed strictly from left to right but may also
  6454         rotate premises to achieve further simplification.
  6455      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  6456      old Asm_full_simp_tac in that it does not rotate premises.
  6457   2. The simplifier now knows a little bit about nat-arithmetic.
  6458 
  6459 * Classical reasoner: wrapper mechanism for the classical reasoner now
  6460 allows for selected deletion of wrappers, by introduction of names for
  6461 wrapper functionals.  This implies that addbefore, addSbefore,
  6462 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  6463 and that adding two tactics with the same name overwrites the first
  6464 one (emitting a warning).
  6465   type wrapper = (int -> tactic) -> (int -> tactic)
  6466   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  6467   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  6468   delWrapper, delSWrapper: claset *  string            -> claset
  6469   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  6470 
  6471 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  6472 semantics; addbefore now affects only the unsafe part of step_tac
  6473 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  6474 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  6475 by Force_tac;
  6476 
  6477 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  6478 compWrapper; added safe wrapper (and access functions for it);
  6479 
  6480 * HOL/split_all_tac is now much faster and fails if there is nothing
  6481 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  6482 and the names of the automatically generated variables have changed.
  6483 split_all_tac has moved within claset() from unsafe wrappers to safe
  6484 wrappers, which means that !!-bound variables are split much more
  6485 aggressively, and safe_tac and clarify_tac now split such variables.
  6486 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  6487 Note: the same holds for record_split_tac, which does the job of
  6488 split_all_tac for record fields.
  6489 
  6490 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  6491 permanently to the default simpset using Addsplits just like
  6492 Addsimps. They can be removed via Delsplits just like
  6493 Delsimps. Lower-case versions are also available.
  6494 
  6495 * HOL/Simplifier: The rule split_if is now part of the default
  6496 simpset. This means that the simplifier will eliminate all occurrences
  6497 of if-then-else in the conclusion of a goal. To prevent this, you can
  6498 either remove split_if completely from the default simpset by
  6499 `Delsplits [split_if]' or remove it in a specific call of the
  6500 simplifier using `... delsplits [split_if]'.  You can also add/delete
  6501 other case splitting rules to/from the default simpset: every datatype
  6502 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  6503 t is the name of the datatype).
  6504 
  6505 * Classical reasoner / Simplifier combination: new force_tac (and
  6506 derivatives Force_tac, force) combines rewriting and classical
  6507 reasoning (and whatever other tools) similarly to auto_tac, but is
  6508 aimed to solve the given subgoal completely.
  6509 
  6510 
  6511 *** General ***
  6512 
  6513 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  6514 and `goalw': the theory is no longer needed as an explicit argument -
  6515 the current theory context is used; assumptions are no longer returned
  6516 at the ML-level unless one of them starts with ==> or !!; it is
  6517 recommended to convert to these new commands using isatool fixgoal
  6518 (backup your sources first!);
  6519 
  6520 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  6521 the current theory context, and 'theory' to lookup stored theories;
  6522 
  6523 * new theory section 'locale' for declaring constants, assumptions and
  6524 definitions that have local scope;
  6525 
  6526 * new theory section 'nonterminals' for purely syntactic types;
  6527 
  6528 * new theory section 'setup' for generic ML setup functions
  6529 (e.g. package initialization);
  6530 
  6531 * the distribution now includes Isabelle icons: see
  6532 lib/logo/isabelle-{small,tiny}.xpm;
  6533 
  6534 * isatool install - install binaries with absolute references to
  6535 ISABELLE_HOME/bin;
  6536 
  6537 * isatool logo -- create instances of the Isabelle logo (as EPS);
  6538 
  6539 * print mode 'emacs' reserved for Isamode;
  6540 
  6541 * support multiple print (ast) translations per constant name;
  6542 
  6543 * theorems involving oracles are now printed with a suffixed [!];
  6544 
  6545 
  6546 *** HOL ***
  6547 
  6548 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  6549 
  6550 * HOL/inductive package reorganized and improved: now supports mutual
  6551 definitions such as
  6552 
  6553   inductive EVEN ODD
  6554     intrs
  6555       null "0 : EVEN"
  6556       oddI "n : EVEN ==> Suc n : ODD"
  6557       evenI "n : ODD ==> Suc n : EVEN"
  6558 
  6559 new theorem list "elims" contains an elimination rule for each of the
  6560 recursive sets; inductive definitions now handle disjunctive premises
  6561 correctly (also ZF);
  6562 
  6563 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  6564 "mutual_induct" no longer exists - the induction rule is always
  6565 contained in "induct";
  6566 
  6567 
  6568 * HOL/datatype package re-implemented and greatly improved: now
  6569 supports mutually recursive datatypes such as
  6570 
  6571   datatype
  6572     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  6573             | SUM ('a aexp) ('a aexp)
  6574             | DIFF ('a aexp) ('a aexp)
  6575             | NUM 'a
  6576   and
  6577     'a bexp = LESS ('a aexp) ('a aexp)
  6578             | AND ('a bexp) ('a bexp)
  6579             | OR ('a bexp) ('a bexp)
  6580 
  6581 as well as indirectly recursive datatypes such as
  6582 
  6583   datatype
  6584     ('a, 'b) term = Var 'a
  6585                   | App 'b ((('a, 'b) term) list)
  6586 
  6587 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  6588 induction on mutually / indirectly recursive datatypes.
  6589 
  6590 Primrec equations are now stored in theory and can be accessed via
  6591 <function_name>.simps.
  6592 
  6593 INCOMPATIBILITIES:
  6594 
  6595   - Theories using datatypes must now have theory Datatype as an
  6596     ancestor.
  6597   - The specific <typename>.induct_tac no longer exists - use the
  6598     generic induct_tac instead.
  6599   - natE has been renamed to nat.exhaust - use exhaust_tac
  6600     instead of res_inst_tac ... natE. Note that the variable
  6601     names in nat.exhaust differ from the names in natE, this
  6602     may cause some "fragile" proofs to fail.
  6603   - The theorems split_<typename>_case and split_<typename>_case_asm
  6604     have been renamed to <typename>.split and <typename>.split_asm.
  6605   - Since default sorts of type variables are now handled correctly,
  6606     some datatype definitions may have to be annotated with explicit
  6607     sort constraints.
  6608   - Primrec definitions no longer require function name and type
  6609     of recursive argument.
  6610 
  6611 Consider using isatool fixdatatype to adapt your theories and proof
  6612 scripts to the new package (backup your sources first!).
  6613 
  6614 
  6615 * HOL/record package: considerably improved implementation; now
  6616 includes concrete syntax for record types, terms, updates; theorems
  6617 for surjective pairing and splitting !!-bound record variables; proof
  6618 support is as follows:
  6619 
  6620   1) standard conversions (selectors or updates applied to record
  6621 constructor terms) are part of the standard simpset;
  6622 
  6623   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  6624 made part of standard simpset and claset via addIffs;
  6625 
  6626   3) a tactic for record field splitting (record_split_tac) is part of
  6627 the standard claset (addSWrapper);
  6628 
  6629 To get a better idea about these rules you may retrieve them via
  6630 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  6631 the name of your record type.
  6632 
  6633 The split tactic 3) conceptually simplifies by the following rule:
  6634 
  6635   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  6636 
  6637 Thus any record variable that is bound by meta-all will automatically
  6638 blow up into some record constructor term, consequently the
  6639 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  6640 solve record problems automatically.
  6641 
  6642 
  6643 * reorganized the main HOL image: HOL/Integ and String loaded by
  6644 default; theory Main includes everything;
  6645 
  6646 * automatic simplification of integer sums and comparisons, using cancellation;
  6647 
  6648 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  6649 
  6650 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  6651 
  6652 * many new identities for unions, intersections, set difference, etc.;
  6653 
  6654 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  6655 called split_if, split_split, split_sum_case and split_nat_case (to go
  6656 with add/delsplits);
  6657 
  6658 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  6659 (?x::unit) = (); this is made part of the default simpset, which COULD
  6660 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  6661 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  6662 unit_abs_eta_conv is added in order to counter the effect of
  6663 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  6664 %u.f();
  6665 
  6666 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  6667 makes more sense);
  6668 
  6669 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6670   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6671   disjointness reasoning but breaking a few old proofs.
  6672 
  6673 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  6674 to 'converse' from 'inverse' (for compatibility with ZF and some
  6675 literature);
  6676 
  6677 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  6678 the well-founded relation;
  6679 
  6680 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  6681     Compl A.  The "Compl" syntax remains available as input syntax for this
  6682     release ONLY.
  6683 
  6684 * HOL/Update: new theory of function updates:
  6685     f(a:=b) == %x. if x=a then b else f x
  6686 may also be iterated as in f(a:=b,c:=d,...);
  6687 
  6688 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  6689 
  6690 * HOL/List:
  6691   - new function list_update written xs[i:=v] that updates the i-th
  6692     list position. May also be iterated as in xs[i:=a,j:=b,...].
  6693   - new function `upt' written [i..j(] which generates the list
  6694     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  6695     bound write [i..j], which is a shorthand for [i..j+1(].
  6696   - new lexicographic orderings and corresponding wellfoundedness theorems.
  6697 
  6698 * HOL/Arith:
  6699   - removed 'pred' (predecessor) function;
  6700   - generalized some theorems about n-1;
  6701   - many new laws about "div" and "mod";
  6702   - new laws about greatest common divisors (see theory ex/Primes);
  6703 
  6704 * HOL/Relation: renamed the relational operator r^-1 "converse"
  6705 instead of "inverse";
  6706 
  6707 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  6708   of the multiset ordering;
  6709 
  6710 * directory HOL/Real: a construction of the reals using Dedekind cuts
  6711   (not included by default);
  6712 
  6713 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  6714 
  6715 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  6716   programs, i.e. different program variables may have different types.
  6717 
  6718 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6719   [previously, this check worked only if the rewrite rule was unconditional]
  6720   Now rew can involve either definitions or equalities (either == or =).
  6721 
  6722 
  6723 *** ZF ***
  6724 
  6725 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  6726   only the theorems proved on ZF.ML;
  6727 
  6728 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6729   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6730   disjointness reasoning but breaking a few old proofs.
  6731 
  6732 * ZF/Update: new theory of function updates
  6733     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  6734   may also be iterated as in f(a:=b,c:=d,...);
  6735 
  6736 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  6737 
  6738 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6739   [previously, this check worked only if the rewrite rule was unconditional]
  6740   Now rew can involve either definitions or equalities (either == or =).
  6741 
  6742 * case_tac provided for compatibility with HOL
  6743     (like the old excluded_middle_tac, but with subgoals swapped)
  6744 
  6745 
  6746 *** Internal programming interfaces ***
  6747 
  6748 * Pure: several new basic modules made available for general use, see
  6749 also src/Pure/README;
  6750 
  6751 * improved the theory data mechanism to support encapsulation (data
  6752 kind name replaced by private Object.kind, acting as authorization
  6753 key); new type-safe user interface via functor TheoryDataFun; generic
  6754 print_data function becomes basically useless;
  6755 
  6756 * removed global_names compatibility flag -- all theory declarations
  6757 are qualified by default;
  6758 
  6759 * module Pure/Syntax now offers quote / antiquote translation
  6760 functions (useful for Hoare logic etc. with implicit dependencies);
  6761 see HOL/ex/Antiquote for an example use;
  6762 
  6763 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  6764 cterm -> thm;
  6765 
  6766 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  6767 subgoal;
  6768 
  6769 * Display.print_goals function moved to Locale.print_goals;
  6770 
  6771 * standard print function for goals supports current_goals_markers
  6772 variable for marking begin of proof, end of proof, start of goal; the
  6773 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  6774 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  6775 for example;
  6776 
  6777 
  6778 
  6779 New in Isabelle98 (January 1998)
  6780 --------------------------------
  6781 
  6782 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6783 
  6784 * changed lexical syntax of terms / types: dots made part of long
  6785 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  6786 
  6787 * simpset (and claset) reference variable replaced by functions
  6788 simpset / simpset_ref;
  6789 
  6790 * no longer supports theory aliases (via merge) and non-trivial
  6791 implicit merge of thms' signatures;
  6792 
  6793 * most internal names of constants changed due to qualified names;
  6794 
  6795 * changed Pure/Sequence interface (see Pure/seq.ML);
  6796 
  6797 
  6798 *** General Changes ***
  6799 
  6800 * hierachically structured name spaces (for consts, types, axms, thms
  6801 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  6802 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  6803 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  6804 long_names for fully qualified output names; NOTE: ML programs
  6805 (special tactics, packages etc.) referring to internal names may have
  6806 to be adapted to cope with fully qualified names; in case of severe
  6807 backward campatibility problems try setting 'global_names' at compile
  6808 time to have enrything declared within a flat name space; one may also
  6809 fine tune name declarations in theories via the 'global' and 'local'
  6810 section;
  6811 
  6812 * reimplemented the implicit simpset and claset using the new anytype
  6813 data filed in signatures; references simpset:simpset ref etc. are
  6814 replaced by functions simpset:unit->simpset and
  6815 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  6816 to patch your ML files accordingly;
  6817 
  6818 * HTML output now includes theory graph data for display with Java
  6819 applet or isatool browser; data generated automatically via isatool
  6820 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  6821 
  6822 * defs may now be conditional; improved rewrite_goals_tac to handle
  6823 conditional equations;
  6824 
  6825 * defs now admits additional type arguments, using TYPE('a) syntax;
  6826 
  6827 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  6828 creates a new theory node; implicit merge of thms' signatures is
  6829 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  6830 transfer:theory->thm->thm in (rare) cases;
  6831 
  6832 * improved handling of draft signatures / theories; draft thms (and
  6833 ctyps, cterms) are automatically promoted to real ones;
  6834 
  6835 * slightly changed interfaces for oracles: admit many per theory, named
  6836 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  6837 
  6838 * print_goals: optional output of const types (set show_consts and
  6839 show_types);
  6840 
  6841 * improved output of warnings (###) and errors (***);
  6842 
  6843 * subgoal_tac displays a warning if the new subgoal has type variables;
  6844 
  6845 * removed old README and Makefiles;
  6846 
  6847 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  6848 
  6849 * removed obsolete init_pps and init_database;
  6850 
  6851 * deleted the obsolete tactical STATE, which was declared by
  6852     fun STATE tacfun st = tacfun st st;
  6853 
  6854 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  6855 (which abbreviates $HOME);
  6856 
  6857 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  6858 use isatool fixseq to adapt your ML programs (this works for fully
  6859 qualified references to the Sequence structure only!);
  6860 
  6861 * use_thy no longer requires writable current directory; it always
  6862 reloads .ML *and* .thy file, if either one is out of date;
  6863 
  6864 
  6865 *** Classical Reasoner ***
  6866 
  6867 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  6868 tactics that use classical reasoning to simplify a subgoal without
  6869 splitting it into several subgoals;
  6870 
  6871 * Safe_tac: like safe_tac but uses the default claset;
  6872 
  6873 
  6874 *** Simplifier ***
  6875 
  6876 * added simplification meta rules:
  6877     (asm_)(full_)simplify: simpset -> thm -> thm;
  6878 
  6879 * simplifier.ML no longer part of Pure -- has to be loaded by object
  6880 logics (again);
  6881 
  6882 * added prems argument to simplification procedures;
  6883 
  6884 * HOL, FOL, ZF: added infix function `addsplits':
  6885   instead of `<simpset> setloop (split_tac <thms>)'
  6886   you can simply write `<simpset> addsplits <thms>'
  6887 
  6888 
  6889 *** Syntax ***
  6890 
  6891 * TYPE('a) syntax for type reflection terms;
  6892 
  6893 * no longer handles consts with name "" -- declare as 'syntax' instead;
  6894 
  6895 * pretty printer: changed order of mixfix annotation preference (again!);
  6896 
  6897 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  6898 
  6899 
  6900 *** HOL ***
  6901 
  6902 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6903   with `addloop' of the simplifier to faciliate case splitting in premises.
  6904 
  6905 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  6906 
  6907 * HOL/Auth: new protocol proofs including some for the Internet
  6908   protocol TLS;
  6909 
  6910 * HOL/Map: new theory of `maps' a la VDM;
  6911 
  6912 * HOL/simplifier: simplification procedures nat_cancel_sums for
  6913 cancelling out common nat summands from =, <, <= (in)equalities, or
  6914 differences; simplification procedures nat_cancel_factor for
  6915 cancelling common factor from =, <, <= (in)equalities over natural
  6916 sums; nat_cancel contains both kinds of procedures, it is installed by
  6917 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  6918 
  6919 * HOL/simplifier: terms of the form
  6920   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  6921   are rewritten to
  6922   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  6923   and those of the form
  6924   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  6925   are rewritten to
  6926   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  6927 
  6928 * HOL/datatype
  6929   Each datatype `t' now comes with a theorem `split_t_case' of the form
  6930 
  6931   P(t_case f1 ... fn x) =
  6932      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  6933         ...
  6934        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  6935      )
  6936 
  6937   and a theorem `split_t_case_asm' of the form
  6938 
  6939   P(t_case f1 ... fn x) =
  6940     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  6941         ...
  6942        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  6943      )
  6944   which can be added to a simpset via `addsplits'. The existing theorems
  6945   expand_list_case and expand_option_case have been renamed to
  6946   split_list_case and split_option_case.
  6947 
  6948 * HOL/Arithmetic:
  6949   - `pred n' is automatically converted to `n-1'.
  6950     Users are strongly encouraged not to use `pred' any longer,
  6951     because it will disappear altogether at some point.
  6952   - Users are strongly encouraged to write "0 < n" rather than
  6953     "n ~= 0". Theorems and proof tools have been modified towards this
  6954     `standard'.
  6955 
  6956 * HOL/Lists:
  6957   the function "set_of_list" has been renamed "set" (and its theorems too);
  6958   the function "nth" now takes its arguments in the reverse order and
  6959   has acquired the infix notation "!" as in "xs!n".
  6960 
  6961 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  6962 
  6963 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  6964   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  6965 
  6966 * HOL/record: extensible records with schematic structural subtyping
  6967 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  6968 still lacks various theorems and concrete record syntax;
  6969 
  6970 
  6971 *** HOLCF ***
  6972 
  6973 * removed "axioms" and "generated by" sections;
  6974 
  6975 * replaced "ops" section by extended "consts" section, which is capable of
  6976   handling the continuous function space "->" directly;
  6977 
  6978 * domain package:
  6979   . proves theorems immediately and stores them in the theory,
  6980   . creates hierachical name space,
  6981   . now uses normal mixfix annotations (instead of cinfix...),
  6982   . minor changes to some names and values (for consistency),
  6983   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  6984   . separator between mutual domain defs: changed "," to "and",
  6985   . improved handling of sort constraints;  now they have to
  6986     appear on the left-hand side of the equations only;
  6987 
  6988 * fixed LAM <x,y,zs>.b syntax;
  6989 
  6990 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  6991 adm (%x. P (t x)), where P is chainfinite and t continuous;
  6992 
  6993 
  6994 *** FOL and ZF ***
  6995 
  6996 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6997   with `addloop' of the simplifier to faciliate case splitting in premises.
  6998 
  6999 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  7000 in HOL, they strip ALL and --> from proved theorems;
  7001 
  7002 
  7003 
  7004 New in Isabelle94-8 (May 1997)
  7005 ------------------------------
  7006 
  7007 *** General Changes ***
  7008 
  7009 * new utilities to build / run / maintain Isabelle etc. (in parts
  7010 still somewhat experimental); old Makefiles etc. still functional;
  7011 
  7012 * new 'Isabelle System Manual';
  7013 
  7014 * INSTALL text, together with ./configure and ./build scripts;
  7015 
  7016 * reimplemented type inference for greater efficiency, better error
  7017 messages and clean internal interface;
  7018 
  7019 * prlim command for dealing with lots of subgoals (an easier way of
  7020 setting goals_limit);
  7021 
  7022 
  7023 *** Syntax ***
  7024 
  7025 * supports alternative (named) syntax tables (parser and pretty
  7026 printer); internal interface is provided by add_modesyntax(_i);
  7027 
  7028 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  7029 be used in conjunction with the Isabelle symbol font; uses the
  7030 "symbols" syntax table;
  7031 
  7032 * added token_translation interface (may translate name tokens in
  7033 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  7034 the current print_mode); IMPORTANT: user print translation functions
  7035 are responsible for marking newly introduced bounds
  7036 (Syntax.mark_boundT);
  7037 
  7038 * token translations for modes "xterm" and "xterm_color" that display
  7039 names in bold, underline etc. or colors (which requires a color
  7040 version of xterm);
  7041 
  7042 * infixes may now be declared with names independent of their syntax;
  7043 
  7044 * added typed_print_translation (like print_translation, but may
  7045 access type of constant);
  7046 
  7047 
  7048 *** Classical Reasoner ***
  7049 
  7050 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  7051 some limitations.  Blast_tac...
  7052   + ignores addss, addbefore, addafter; this restriction is intrinsic
  7053   + ignores elimination rules that don't have the correct format
  7054         (the conclusion MUST be a formula variable)
  7055   + ignores types, which can make HOL proofs fail
  7056   + rules must not require higher-order unification, e.g. apply_type in ZF
  7057     [message "Function Var's argument not a bound variable" relates to this]
  7058   + its proof strategy is more general but can actually be slower
  7059 
  7060 * substitution with equality assumptions no longer permutes other
  7061 assumptions;
  7062 
  7063 * minor changes in semantics of addafter (now called addaltern); renamed
  7064 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  7065 (and access functions for it);
  7066 
  7067 * improved combination of classical reasoner and simplifier:
  7068   + functions for handling clasimpsets
  7069   + improvement of addss: now the simplifier is called _after_ the
  7070     safe steps.
  7071   + safe variant of addss called addSss: uses safe simplifications
  7072     _during_ the safe steps. It is more complete as it allows multiple
  7073     instantiations of unknowns (e.g. with slow_tac).
  7074 
  7075 *** Simplifier ***
  7076 
  7077 * added interface for simplification procedures (functions that
  7078 produce *proven* rewrite rules on the fly, depending on current
  7079 redex);
  7080 
  7081 * ordering on terms as parameter (used for ordered rewriting);
  7082 
  7083 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  7084 
  7085 * the solver is now split into a safe and an unsafe part.
  7086 This should be invisible for the normal user, except that the
  7087 functions setsolver and addsolver have been renamed to setSolver and
  7088 addSolver; added safe_asm_full_simp_tac;
  7089 
  7090 
  7091 *** HOL ***
  7092 
  7093 * a generic induction tactic `induct_tac' which works for all datatypes and
  7094 also for type `nat';
  7095 
  7096 * a generic case distinction tactic `exhaust_tac' which works for all
  7097 datatypes and also for type `nat';
  7098 
  7099 * each datatype comes with a function `size';
  7100 
  7101 * patterns in case expressions allow tuple patterns as arguments to
  7102 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  7103 
  7104 * primrec now also works with type nat;
  7105 
  7106 * recdef: a new declaration form, allows general recursive functions to be
  7107 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  7108 
  7109 * the constant for negation has been renamed from "not" to "Not" to
  7110 harmonize with FOL, ZF, LK, etc.;
  7111 
  7112 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  7113 infinite lists;
  7114 
  7115 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  7116 
  7117 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  7118 problems in commutative rings, using axiomatic type classes for + and *;
  7119 
  7120 * more examples in HOL/MiniML and HOL/Auth;
  7121 
  7122 * more default rewrite rules for quantifiers, union/intersection;
  7123 
  7124 * a new constant `arbitrary == @x.False';
  7125 
  7126 * HOLCF/IOA replaces old HOL/IOA;
  7127 
  7128 * HOLCF changes: derived all rules and arities
  7129   + axiomatic type classes instead of classes
  7130   + typedef instead of faking type definitions
  7131   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  7132   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  7133   + eliminated the types void, one, tr
  7134   + use unit lift and bool lift (with translations) instead of one and tr
  7135   + eliminated blift from Lift3.thy (use Def instead of blift)
  7136   all eliminated rules are derived as theorems --> no visible changes ;
  7137 
  7138 
  7139 *** ZF ***
  7140 
  7141 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  7142 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  7143 as ZF_cs addSIs [equalityI];
  7144 
  7145 
  7146 
  7147 New in Isabelle94-7 (November 96)
  7148 ---------------------------------
  7149 
  7150 * allowing negative levels (as offsets) in prlev and choplev;
  7151 
  7152 * super-linear speedup for large simplifications;
  7153 
  7154 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  7155 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  7156 FAIL); can suppress it using the command Delsimps (ex_simps @
  7157 all_simps); De Morgan laws are also now included, by default;
  7158 
  7159 * improved printing of ==>  :  ~:
  7160 
  7161 * new object-logic "Sequents" adds linear logic, while replacing LK
  7162 and Modal (thanks to Sara Kalvala);
  7163 
  7164 * HOL/Auth: correctness proofs for authentication protocols;
  7165 
  7166 * HOL: new auto_tac combines rewriting and classical reasoning (many
  7167 examples on HOL/Auth);
  7168 
  7169 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  7170 the rewriter and classical reasoner simultaneously;
  7171 
  7172 * function uresult no longer returns theorems in "standard" format;
  7173 regain previous version by: val uresult = standard o uresult;
  7174 
  7175 
  7176 
  7177 New in Isabelle94-6
  7178 -------------------
  7179 
  7180 * oracles -- these establish an interface between Isabelle and trusted
  7181 external reasoners, which may deliver results as theorems;
  7182 
  7183 * proof objects (in particular record all uses of oracles);
  7184 
  7185 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  7186 
  7187 * "constdefs" section in theory files;
  7188 
  7189 * "primrec" section (HOL) no longer requires names;
  7190 
  7191 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  7192 
  7193 
  7194 
  7195 New in Isabelle94-5
  7196 -------------------
  7197 
  7198 * reduced space requirements;
  7199 
  7200 * automatic HTML generation from theories;
  7201 
  7202 * theory files no longer require "..." (quotes) around most types;
  7203 
  7204 * new examples, including two proofs of the Church-Rosser theorem;
  7205 
  7206 * non-curried (1994) version of HOL is no longer distributed;
  7207 
  7208 
  7209 
  7210 New in Isabelle94-4
  7211 -------------------
  7212 
  7213 * greatly reduced space requirements;
  7214 
  7215 * theory files (.thy) no longer require \...\ escapes at line breaks;
  7216 
  7217 * searchable theorem database (see the section "Retrieving theorems" on
  7218 page 8 of the Reference Manual);
  7219 
  7220 * new examples, including Grabczewski's monumental case study of the
  7221 Axiom of Choice;
  7222 
  7223 * The previous version of HOL renamed to Old_HOL;
  7224 
  7225 * The new version of HOL (previously called CHOL) uses a curried syntax
  7226 for functions.  Application looks like f a b instead of f(a,b);
  7227 
  7228 * Mutually recursive inductive definitions finally work in HOL;
  7229 
  7230 * In ZF, pattern-matching on tuples is now available in all abstractions and
  7231 translates to the operator "split";
  7232 
  7233 
  7234 
  7235 New in Isabelle94-3
  7236 -------------------
  7237 
  7238 * new infix operator, addss, allowing the classical reasoner to
  7239 perform simplification at each step of its search.  Example:
  7240         fast_tac (cs addss ss)
  7241 
  7242 * a new logic, CHOL, the same as HOL, but with a curried syntax
  7243 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  7244 look like (a,b) instead of <a,b>;
  7245 
  7246 * PLEASE NOTE: CHOL will eventually replace HOL!
  7247 
  7248 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  7249 It translates to the operator "split".  A new theory of integers is available;
  7250 
  7251 * In ZF, integer numerals now denote two's-complement binary integers.
  7252 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  7253 
  7254 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  7255 of the Axiom of Choice;
  7256 
  7257 
  7258 
  7259 New in Isabelle94-2
  7260 -------------------
  7261 
  7262 * Significantly faster resolution;
  7263 
  7264 * the different sections in a .thy file can now be mixed and repeated
  7265 freely;
  7266 
  7267 * Database of theorems for FOL, HOL and ZF.  New
  7268 commands including qed, qed_goal and bind_thm store theorems in the database.
  7269 
  7270 * Simple database queries: return a named theorem (get_thm) or all theorems of
  7271 a given theory (thms_of), or find out what theory a theorem was proved in
  7272 (theory_of_thm);
  7273 
  7274 * Bugs fixed in the inductive definition and datatype packages;
  7275 
  7276 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  7277 and HOL_dup_cs obsolete;
  7278 
  7279 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  7280 have been removed;
  7281 
  7282 * Simpler definition of function space in ZF;
  7283 
  7284 * new results about cardinal and ordinal arithmetic in ZF;
  7285 
  7286 * 'subtype' facility in HOL for introducing new types as subsets of existing
  7287 types;
  7288 
  7289 :mode=text:wrap=hard:maxLineLen=72: