NEWS
author wenzelm
Mon, 26 Apr 2010 21:45:08 +0200
changeset 36366 5ab0f8859f9f
parent 36347 89c54f51f55a
child 36416 9459be72b89e
permissions -rw-r--r--
command 'example_proof' opens an empty proof body;
     1 Isabelle NEWS -- history user-relevant changes
     2 ==============================================
     3 
     4 New in this Isabelle version
     5 ----------------------------
     6 
     7 *** General ***
     8 
     9 * Schematic theorem statements need to be explicitly markup as such,
    10 via commands 'schematic_lemma', 'schematic_theorem',
    11 'schematic_corollary'.  Thus the relevance of the proof is made
    12 syntactically clear, which impacts performance in a parallel or
    13 asynchronous interactive environment.  Minor INCOMPATIBILITY.
    14 
    15 * Authentic syntax for *all* logical entities (type classes, type
    16 constructors, term constants): provides simple and robust
    17 correspondence between formal entities and concrete syntax.  Within
    18 the parse tree / AST representations, "constants" are decorated by
    19 their category (class, type, const) and spelled out explicitly with
    20 their full internal name.
    21 
    22 Substantial INCOMPATIBILITY concerning low-level syntax declarations
    23 and translations (translation rules and translation functions in ML).
    24 Some hints on upgrading:
    25 
    26   - Many existing uses of 'syntax' and 'translations' can be replaced
    27     by more modern 'type_notation', 'notation' and 'abbreviation',
    28     which are independent of this issue.
    29 
    30   - 'translations' require markup within the AST; the term syntax
    31     provides the following special forms:
    32 
    33       CONST c   -- produces syntax version of constant c from context
    34       XCONST c  -- literally c, checked as constant from context
    35       c         -- literally c, if declared by 'syntax'
    36 
    37     Plain identifiers are treated as AST variables -- occasionally the
    38     system indicates accidental variables via the error "rhs contains
    39     extra variables".
    40 
    41     Type classes and type constructors are marked according to their
    42     concrete syntax.  Some old translations rules need to be written
    43     for the "type" category, using type constructor application
    44     instead of pseudo-term application of the default category
    45     "logic".
    46 
    47   - 'parse_translation' etc. in ML may use the following
    48     antiquotations:
    49 
    50       @{class_syntax c}   -- type class c within parse tree / AST
    51       @{term_syntax c}    -- type constructor c within parse tree / AST
    52       @{const_syntax c}   -- ML version of "CONST c" above
    53       @{syntax_const c}   -- literally c (checked wrt. 'syntax' declarations)
    54 
    55   - Literal types within 'typed_print_translations', i.e. those *not*
    56     represented as pseudo-terms are represented verbatim.  Use @{class
    57     c} or @{type_name c} here instead of the above syntax
    58     antiquotations.
    59 
    60 Note that old non-authentic syntax was based on unqualified base
    61 names, so all of the above "constant" names would coincide.  Recall
    62 that 'print_syntax' and ML_command "set Syntax.trace_ast" help to
    63 diagnose syntax problems.
    64 
    65 * Type constructors admit general mixfix syntax, not just infix.
    66 
    67 * Use of cumulative prems via "!" in some proof methods has been
    68 discontinued (legacy feature).
    69 
    70 * References 'trace_simp' and 'debug_simp' have been replaced by
    71 configuration options stored in the context. Enabling tracing
    72 (the case of debugging is similar) in proofs works via
    73 
    74   using [[trace_simp=true]]
    75 
    76 Tracing is then active for all invocations of the simplifier
    77 in subsequent goal refinement steps. Tracing may also still be
    78 enabled or disabled via the ProofGeneral settings menu.
    79 
    80 * Separate commands 'hide_class', 'hide_type', 'hide_const',
    81 'hide_fact' replace the former 'hide' KIND command.  Minor
    82 INCOMPATIBILITY.
    83 
    84 
    85 *** Pure ***
    86 
    87 * Code generator: simple concept for abstract datatypes obeying invariants.
    88 
    89 * Local theory specifications may depend on extra type variables that
    90 are not present in the result type -- arguments TYPE('a) :: 'a itself
    91 are added internally.  For example:
    92 
    93   definition unitary :: bool where "unitary = (ALL (x::'a) y. x = y)"
    94 
    95 * Code generator: details of internal data cache have no impact on
    96 the user space functionality any longer.
    97 
    98 * Methods unfold_locales and intro_locales ignore non-locale subgoals.  This
    99 is more appropriate for interpretations with 'where'.  INCOMPATIBILITY.
   100 
   101 * Discontinued unnamed infix syntax (legacy feature for many years) --
   102 need to specify constant name and syntax separately.  Internal ML
   103 datatype constructors have been renamed from InfixName to Infix etc.
   104 Minor INCOMPATIBILITY.
   105 
   106 * Command 'example_proof' opens an empty proof body.  This allows to
   107 experiment with Isar, without producing any persistent result.
   108 
   109 * Commands 'type_notation' and 'no_type_notation' declare type syntax
   110 within a local theory context, with explicit checking of the
   111 constructors involved (in contrast to the raw 'syntax' versions).
   112 
   113 * Commands 'types' and 'typedecl' now work within a local theory
   114 context -- without introducing dependencies on parameters or
   115 assumptions, which is not possible in Isabelle/Pure.
   116 
   117 * Proof terms: Type substitutions on proof constants now use canonical
   118 order of type variables. INCOMPATIBILITY: Tools working with proof
   119 terms may need to be adapted.
   120 
   121 
   122 *** HOL ***
   123 
   124 * Abstract algebra:
   125   * classes division_ring_inverse_zero, field_inverse_zero, linordered_field_inverse_zero
   126     include rule inverse 0 = 0 -- subsumes former division_by_zero class.
   127   * numerous lemmas have been ported from field to division_ring;
   128   * dropped theorem group group_simps, use algebra_simps instead;
   129   * dropped theorem group ring_simps, use field_simps instead;
   130   * proper theorem collection field_simps subsumes former theorem groups field_eq_simps and field_simps;
   131   * dropped lemma eq_minus_self_iff which is a duplicate for equal_neg_zero.
   132 
   133   INCOMPATIBILITY.
   134 
   135 * Library theory 'RBT' renamed to 'RBT_Impl'; new library theory 'RBT'
   136 provides abstract red-black tree type which is backed by RBT_Impl
   137 as implementation.  INCOMPATIBILTY.
   138 
   139 * Command 'typedef' now works within a local theory context -- without
   140 introducing dependencies on parameters or assumptions, which is not
   141 possible in Isabelle/Pure/HOL.  Note that the logical environment may
   142 contain multiple interpretations of local typedefs (with different
   143 non-emptiness proofs), even in a global theory context.
   144 
   145 * Theory Library/Coinductive_List has been removed -- superceded by
   146 AFP/thys/Coinductive.
   147 
   148 * Split off theory Big_Operators containing setsum, setprod, Inf_fin, Sup_fin,
   149 Min, Max from theory Finite_Set.  INCOMPATIBILITY.
   150 
   151 * Theory "Rational" renamed to "Rat", for consistency with "Nat", "Int" etc.
   152 INCOMPATIBILITY.
   153 
   154 * New set of rules "ac_simps" provides combined assoc / commute rewrites
   155 for all interpretations of the appropriate generic locales.
   156 
   157 * Renamed theory "OrderedGroup" to "Groups" and split theory "Ring_and_Field"
   158 into theories "Rings" and "Fields";  for more appropriate and more
   159 consistent names suitable for name prefixes within the HOL theories.
   160 INCOMPATIBILITY.
   161 
   162 * Some generic constants have been put to appropriate theories:
   163 
   164     less_eq, less: Orderings
   165     zero, one, plus, minus, uminus, times, abs, sgn: Groups
   166     inverse, divide: Rings
   167 
   168 INCOMPATIBILITY.
   169 
   170 * Class division_ring also requires proof of fact divide_inverse.  However instantiation
   171 of parameter divide has also been required previously.  INCOMPATIBILITY.
   172 
   173 * More consistent naming of type classes involving orderings (and lattices):
   174 
   175     lower_semilattice                   ~> semilattice_inf
   176     upper_semilattice                   ~> semilattice_sup
   177 
   178     dense_linear_order                  ~> dense_linorder
   179 
   180     pordered_ab_group_add               ~> ordered_ab_group_add
   181     pordered_ab_group_add_abs           ~> ordered_ab_group_add_abs
   182     pordered_ab_semigroup_add           ~> ordered_ab_semigroup_add
   183     pordered_ab_semigroup_add_imp_le    ~> ordered_ab_semigroup_add_imp_le
   184     pordered_cancel_ab_semigroup_add    ~> ordered_cancel_ab_semigroup_add
   185     pordered_cancel_comm_semiring       ~> ordered_cancel_comm_semiring
   186     pordered_cancel_semiring            ~> ordered_cancel_semiring
   187     pordered_comm_monoid_add            ~> ordered_comm_monoid_add
   188     pordered_comm_ring                  ~> ordered_comm_ring
   189     pordered_comm_semiring              ~> ordered_comm_semiring
   190     pordered_ring                       ~> ordered_ring
   191     pordered_ring_abs                   ~> ordered_ring_abs
   192     pordered_semiring                   ~> ordered_semiring
   193 
   194     ordered_ab_group_add                ~> linordered_ab_group_add
   195     ordered_ab_semigroup_add            ~> linordered_ab_semigroup_add
   196     ordered_cancel_ab_semigroup_add     ~> linordered_cancel_ab_semigroup_add
   197     ordered_comm_semiring_strict        ~> linordered_comm_semiring_strict
   198     ordered_field                       ~> linordered_field
   199     ordered_field_no_lb                 ~> linordered_field_no_lb
   200     ordered_field_no_ub                 ~> linordered_field_no_ub
   201     ordered_field_dense_linear_order    ~> dense_linordered_field
   202     ordered_idom                        ~> linordered_idom
   203     ordered_ring                        ~> linordered_ring
   204     ordered_ring_le_cancel_factor       ~> linordered_ring_le_cancel_factor
   205     ordered_ring_less_cancel_factor     ~> linordered_ring_less_cancel_factor
   206     ordered_ring_strict                 ~> linordered_ring_strict
   207     ordered_semidom                     ~> linordered_semidom
   208     ordered_semiring                    ~> linordered_semiring
   209     ordered_semiring_1                  ~> linordered_semiring_1
   210     ordered_semiring_1_strict           ~> linordered_semiring_1_strict
   211     ordered_semiring_strict             ~> linordered_semiring_strict
   212 
   213   The following slightly odd type classes have been moved to
   214   a separate theory Library/Lattice_Algebras.thy:
   215 
   216     lordered_ab_group_add               ~> lattice_ab_group_add
   217     lordered_ab_group_add_abs           ~> lattice_ab_group_add_abs
   218     lordered_ab_group_add_meet          ~> semilattice_inf_ab_group_add
   219     lordered_ab_group_add_join          ~> semilattice_sup_ab_group_add
   220     lordered_ring                       ~> lattice_ring
   221 
   222 INCOMPATIBILITY.
   223 
   224 * HOLogic.strip_psplit: types are returned in syntactic order, similar
   225 to other strip and tuple operations.  INCOMPATIBILITY.
   226 
   227 * Various old-style primrec specifications in the HOL theories have been
   228 replaced by new-style primrec, especially in theory List.  The corresponding
   229 constants now have authentic syntax.  INCOMPATIBILITY.
   230 
   231 * Reorganized theory Multiset: swapped notation of pointwise and multiset order:
   232   * pointwise ordering is instance of class order with standard syntax <= and <;
   233   * multiset ordering has syntax <=# and <#; partial order properties are provided
   234       by means of interpretation with prefix multiset_order.
   235 Less duplication, less historical organization of sections,
   236 conversion from associations lists to multisets, rudimentary code generation.
   237 Use insert_DiffM2 [symmetric] instead of elem_imp_eq_diff_union, if needed.
   238 INCOMPATIBILITY.
   239 
   240 * Reorganized theory Sum_Type; Inl and Inr now have authentic syntax.
   241 INCOMPATIBILITY.
   242 
   243 * Code generation: ML and OCaml code is decorated with signatures.
   244 
   245 * Theory Complete_Lattice: lemmas top_def and bot_def have been
   246 replaced by the more convenient lemmas Inf_empty and Sup_empty.
   247 Dropped lemmas Inf_insert_simp and Sup_insert_simp, which are subsumed
   248 by Inf_insert and Sup_insert.  Lemmas Inf_UNIV and Sup_UNIV replace
   249 former Inf_Univ and Sup_Univ.  Lemmas inf_top_right and sup_bot_right
   250 subsume inf_top and sup_bot respectively.  INCOMPATIBILITY.
   251 
   252 * Theory Finite_Set and List: some lemmas have been generalized from
   253 sets to lattices:
   254 
   255   fun_left_comm_idem_inter      ~> fun_left_comm_idem_inf
   256   fun_left_comm_idem_union      ~> fun_left_comm_idem_sup
   257   inter_Inter_fold_inter        ~> inf_Inf_fold_inf
   258   union_Union_fold_union        ~> sup_Sup_fold_sup
   259   Inter_fold_inter              ~> Inf_fold_inf
   260   Union_fold_union              ~> Sup_fold_sup
   261   inter_INTER_fold_inter        ~> inf_INFI_fold_inf
   262   union_UNION_fold_union        ~> sup_SUPR_fold_sup
   263   INTER_fold_inter              ~> INFI_fold_inf
   264   UNION_fold_union              ~> SUPR_fold_sup
   265 
   266 * Theory List: added transpose.
   267 
   268 * Renamed Library/Quotient.thy to Library/Quotient_Type.thy to avoid
   269 clash with new theory Quotient in Main HOL.
   270 
   271 * Library/Nat_Bijection.thy is a collection of bijective functions
   272 between nat and other types, which supersedes the older libraries
   273 Library/Nat_Int_Bij.thy and HOLCF/NatIso.thy.  INCOMPATIBILITY.
   274 
   275   Constants:
   276   Nat_Int_Bij.nat2_to_nat         ~> prod_encode
   277   Nat_Int_Bij.nat_to_nat2         ~> prod_decode
   278   Nat_Int_Bij.int_to_nat_bij      ~> int_encode
   279   Nat_Int_Bij.nat_to_int_bij      ~> int_decode
   280   Countable.pair_encode           ~> prod_encode
   281   NatIso.prod2nat                 ~> prod_encode
   282   NatIso.nat2prod                 ~> prod_decode
   283   NatIso.sum2nat                  ~> sum_encode
   284   NatIso.nat2sum                  ~> sum_decode
   285   NatIso.list2nat                 ~> list_encode
   286   NatIso.nat2list                 ~> list_decode
   287   NatIso.set2nat                  ~> set_encode
   288   NatIso.nat2set                  ~> set_decode
   289 
   290   Lemmas:
   291   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_decode
   292   Nat_Int_Bij.nat2_to_nat_inj     ~> inj_prod_encode
   293   Nat_Int_Bij.nat2_to_nat_surj    ~> surj_prod_encode
   294   Nat_Int_Bij.nat_to_nat2_inj     ~> inj_prod_decode
   295   Nat_Int_Bij.nat_to_nat2_surj    ~> surj_prod_decode
   296   Nat_Int_Bij.i2n_n2i_id          ~> int_encode_inverse
   297   Nat_Int_Bij.n2i_i2n_id          ~> int_decode_inverse
   298   Nat_Int_Bij.surj_nat_to_int_bij ~> surj_int_encode
   299   Nat_Int_Bij.surj_int_to_nat_bij ~> surj_int_decode
   300   Nat_Int_Bij.inj_nat_to_int_bij  ~> inj_int_encode
   301   Nat_Int_Bij.inj_int_to_nat_bij  ~> inj_int_decode
   302   Nat_Int_Bij.bij_nat_to_int_bij  ~> bij_int_encode
   303   Nat_Int_Bij.bij_int_to_nat_bij  ~> bij_int_decode
   304 
   305 
   306 *** ML ***
   307 
   308 * Antiquotations for basic formal entities:
   309 
   310     @{class NAME}         -- type class
   311     @{class_syntax NAME}  -- syntax representation of the above
   312 
   313     @{type_name NAME}     -- logical type
   314     @{type_abbrev NAME}   -- type abbreviation
   315     @{nonterminal NAME}   -- type of concrete syntactic category
   316     @{type_syntax NAME}   -- syntax representation of any of the above
   317 
   318     @{const_name NAME}    -- logical constant (INCOMPATIBILITY)
   319     @{const_abbrev NAME}  -- abbreviated constant
   320     @{const_syntax NAME}  -- syntax representation of any of the above
   321 
   322 * Antiquotation @{syntax_const NAME} ensures that NAME refers to a raw
   323 syntax constant (cf. 'syntax' command).
   324 
   325 * Antiquotation @{make_string} inlines a function to print arbitrary
   326 values similar to the ML toplevel.  The result is compiler dependent
   327 and may fall back on "?" in certain situations.
   328 
   329 * Renamed old-style Drule.standard to Drule.export_without_context, to
   330 emphasize that this is in no way a standard operation.
   331 INCOMPATIBILITY.
   332 
   333 * Curried take and drop in library.ML; negative length is interpreted
   334 as infinity (as in chop).  INCOMPATIBILITY.
   335 
   336 * Subgoal.FOCUS (and variants): resulting goal state is normalized as
   337 usual for resolution.  Rare INCOMPATIBILITY.
   338 
   339 * Discontinued old TheoryDataFun with its copy/init operation -- data
   340 needs to be pure.  Functor Theory_Data_PP retains the traditional
   341 Pretty.pp argument to merge, which is absent in the standard
   342 Theory_Data version.
   343 
   344 * Renamed varify/unvarify operations to varify_global/unvarify_global
   345 to emphasize that these only work in a global situation (which is
   346 quite rare).
   347 
   348 * Configuration options now admit dynamic default values, depending on
   349 the context or even global references.
   350 
   351 
   352 *** System ***
   353 
   354 * Discontinued special HOL_USEDIR_OPTIONS for the main HOL image;
   355 ISABELLE_USEDIR_OPTIONS applies uniformly to all sessions.  Note that
   356 proof terms are enabled unconditionally in the new HOL-Proofs image.
   357 
   358 * Discontinued old ISABELLE and ISATOOL environment settings (legacy
   359 feature since Isabelle2009).  Use ISABELLE_PROCESS and ISABELLE_TOOL,
   360 respectively.
   361 
   362 * Old lib/scripts/polyml-platform is superseded by the
   363 ISABELLE_PLATFORM setting variable, which defaults to the 32 bit
   364 variant, even on a 64 bit machine.  The following example setting
   365 prefers 64 bit if available:
   366 
   367   ML_PLATFORM="${ISABELLE_PLATFORM64:-$ISABELLE_PLATFORM}"
   368 
   369 
   370 
   371 New in Isabelle2009-1 (December 2009)
   372 -------------------------------------
   373 
   374 *** General ***
   375 
   376 * Discontinued old form of "escaped symbols" such as \\<forall>.  Only
   377 one backslash should be used, even in ML sources.
   378 
   379 
   380 *** Pure ***
   381 
   382 * Locale interpretation propagates mixins along the locale hierarchy.
   383 The currently only available mixins are the equations used to map
   384 local definitions to terms of the target domain of an interpretation.
   385 
   386 * Reactivated diagnostic command 'print_interps'.  Use "print_interps
   387 loc" to print all interpretations of locale "loc" in the theory.
   388 Interpretations in proofs are not shown.
   389 
   390 * Thoroughly revised locales tutorial.  New section on conditional
   391 interpretation.
   392 
   393 * On instantiation of classes, remaining undefined class parameters
   394 are formally declared.  INCOMPATIBILITY.
   395 
   396 
   397 *** Document preparation ***
   398 
   399 * New generalized style concept for printing terms: @{foo (style) ...}
   400 instead of @{foo_style style ...}  (old form is still retained for
   401 backward compatibility).  Styles can be also applied for
   402 antiquotations prop, term_type and typeof.
   403 
   404 
   405 *** HOL ***
   406 
   407 * New proof method "smt" for a combination of first-order logic with
   408 equality, linear and nonlinear (natural/integer/real) arithmetic, and
   409 fixed-size bitvectors; there is also basic support for higher-order
   410 features (esp. lambda abstractions).  It is an incomplete decision
   411 procedure based on external SMT solvers using the oracle mechanism;
   412 for the SMT solver Z3, this method is proof-producing.  Certificates
   413 are provided to avoid calling the external solvers solely for
   414 re-checking proofs.  Due to a remote SMT service there is no need for
   415 installing SMT solvers locally.  See src/HOL/SMT.
   416 
   417 * New commands to load and prove verification conditions generated by
   418 the Boogie program verifier or derived systems (e.g. the Verifying C
   419 Compiler (VCC) or Spec#).  See src/HOL/Boogie.
   420 
   421 * New counterexample generator tool 'nitpick' based on the Kodkod
   422 relational model finder.  See src/HOL/Tools/Nitpick and
   423 src/HOL/Nitpick_Examples.
   424 
   425 * New commands 'code_pred' and 'values' to invoke the predicate
   426 compiler and to enumerate values of inductive predicates.
   427 
   428 * A tabled implementation of the reflexive transitive closure.
   429 
   430 * New implementation of quickcheck uses generic code generator;
   431 default generators are provided for all suitable HOL types, records
   432 and datatypes.  Old quickcheck can be re-activated importing theory
   433 Library/SML_Quickcheck.
   434 
   435 * New testing tool Mirabelle for automated proof tools.  Applies
   436 several tools and tactics like sledgehammer, metis, or quickcheck, to
   437 every proof step in a theory.  To be used in batch mode via the
   438 "mirabelle" utility.
   439 
   440 * New proof method "sos" (sum of squares) for nonlinear real
   441 arithmetic (originally due to John Harison). It requires theory
   442 Library/Sum_Of_Squares.  It is not a complete decision procedure but
   443 works well in practice on quantifier-free real arithmetic with +, -,
   444 *, ^, =, <= and <, i.e. boolean combinations of equalities and
   445 inequalities between polynomials.  It makes use of external
   446 semidefinite programming solvers.  Method "sos" generates a
   447 certificate that can be pasted into the proof thus avoiding the need
   448 to call an external tool every time the proof is checked.  See
   449 src/HOL/Library/Sum_Of_Squares.
   450 
   451 * New method "linarith" invokes existing linear arithmetic decision
   452 procedure only.
   453 
   454 * New command 'atp_minimal' reduces result produced by Sledgehammer.
   455 
   456 * New Sledgehammer option "Full Types" in Proof General settings menu.
   457 Causes full type information to be output to the ATPs.  This slows
   458 ATPs down considerably but eliminates a source of unsound "proofs"
   459 that fail later.
   460 
   461 * New method "metisFT": A version of metis that uses full type
   462 information in order to avoid failures of proof reconstruction.
   463 
   464 * New evaluator "approximate" approximates an real valued term using
   465 the same method as the approximation method.
   466 
   467 * Method "approximate" now supports arithmetic expressions as
   468 boundaries of intervals and implements interval splitting and Taylor
   469 series expansion.
   470 
   471 * ML antiquotation @{code_datatype} inserts definition of a datatype
   472 generated by the code generator; e.g. see src/HOL/Predicate.thy.
   473 
   474 * New theory SupInf of the supremum and infimum operators for sets of
   475 reals.
   476 
   477 * New theory Probability, which contains a development of measure
   478 theory, eventually leading to Lebesgue integration and probability.
   479 
   480 * Extended Multivariate Analysis to include derivation and Brouwer's
   481 fixpoint theorem.
   482 
   483 * Reorganization of number theory, INCOMPATIBILITY:
   484   - new number theory development for nat and int, in theories Divides
   485     and GCD as well as in new session Number_Theory
   486   - some constants and facts now suffixed with _nat and _int
   487     accordingly
   488   - former session NumberTheory now named Old_Number_Theory, including
   489     theories Legacy_GCD and Primes (prefer Number_Theory if possible)
   490   - moved theory Pocklington from src/HOL/Library to
   491     src/HOL/Old_Number_Theory
   492 
   493 * Theory GCD includes functions Gcd/GCD and Lcm/LCM for the gcd and
   494 lcm of finite and infinite sets. It is shown that they form a complete
   495 lattice.
   496 
   497 * Class semiring_div requires superclass no_zero_divisors and proof of
   498 div_mult_mult1; theorems div_mult_mult1, div_mult_mult2,
   499 div_mult_mult1_if, div_mult_mult1 and div_mult_mult2 have been
   500 generalized to class semiring_div, subsuming former theorems
   501 zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and
   502 zdiv_zmult_zmult2.  div_mult_mult1 is now [simp] by default.
   503 INCOMPATIBILITY.
   504 
   505 * Refinements to lattice classes and sets:
   506   - less default intro/elim rules in locale variant, more default
   507     intro/elim rules in class variant: more uniformity
   508   - lemma ge_sup_conv renamed to le_sup_iff, in accordance with
   509     le_inf_iff
   510   - dropped lemma alias inf_ACI for inf_aci (same for sup_ACI and
   511     sup_aci)
   512   - renamed ACI to inf_sup_aci
   513   - new class "boolean_algebra"
   514   - class "complete_lattice" moved to separate theory
   515     "Complete_Lattice"; corresponding constants (and abbreviations)
   516     renamed and with authentic syntax:
   517     Set.Inf ~>    Complete_Lattice.Inf
   518     Set.Sup ~>    Complete_Lattice.Sup
   519     Set.INFI ~>   Complete_Lattice.INFI
   520     Set.SUPR ~>   Complete_Lattice.SUPR
   521     Set.Inter ~>  Complete_Lattice.Inter
   522     Set.Union ~>  Complete_Lattice.Union
   523     Set.INTER ~>  Complete_Lattice.INTER
   524     Set.UNION ~>  Complete_Lattice.UNION
   525   - authentic syntax for
   526     Set.Pow
   527     Set.image
   528   - mere abbreviations:
   529     Set.empty               (for bot)
   530     Set.UNIV                (for top)
   531     Set.inter               (for inf, formerly Set.Int)
   532     Set.union               (for sup, formerly Set.Un)
   533     Complete_Lattice.Inter  (for Inf)
   534     Complete_Lattice.Union  (for Sup)
   535     Complete_Lattice.INTER  (for INFI)
   536     Complete_Lattice.UNION  (for SUPR)
   537   - object-logic definitions as far as appropriate
   538 
   539 INCOMPATIBILITY.  Care is required when theorems Int_subset_iff or
   540 Un_subset_iff are explicitly deleted as default simp rules; then also
   541 their lattice counterparts le_inf_iff and le_sup_iff have to be
   542 deleted to achieve the desired effect.
   543 
   544 * Rules inf_absorb1, inf_absorb2, sup_absorb1, sup_absorb2 are no simp
   545 rules by default any longer; the same applies to min_max.inf_absorb1
   546 etc.  INCOMPATIBILITY.
   547 
   548 * Rules sup_Int_eq and sup_Un_eq are no longer declared as
   549 pred_set_conv by default.  INCOMPATIBILITY.
   550 
   551 * Power operations on relations and functions are now one dedicated
   552 constant "compow" with infix syntax "^^".  Power operation on
   553 multiplicative monoids retains syntax "^" and is now defined generic
   554 in class power.  INCOMPATIBILITY.
   555 
   556 * Relation composition "R O S" now has a more standard argument order:
   557 "R O S = {(x, z). EX y. (x, y) : R & (y, z) : S}".  INCOMPATIBILITY,
   558 rewrite propositions with "S O R" --> "R O S". Proofs may occasionally
   559 break, since the O_assoc rule was not rewritten like this.  Fix using
   560 O_assoc[symmetric].  The same applies to the curried version "R OO S".
   561 
   562 * Function "Inv" is renamed to "inv_into" and function "inv" is now an
   563 abbreviation for "inv_into UNIV".  Lemmas are renamed accordingly.
   564 INCOMPATIBILITY.
   565 
   566 * Most rules produced by inductive and datatype package have mandatory
   567 prefixes.  INCOMPATIBILITY.
   568 
   569 * Changed "DERIV_intros" to a dynamic fact, which can be augmented by
   570 the attribute of the same name.  Each of the theorems in the list
   571 DERIV_intros assumes composition with an additional function and
   572 matches a variable to the derivative, which has to be solved by the
   573 Simplifier.  Hence (auto intro!: DERIV_intros) computes the derivative
   574 of most elementary terms.  Former Maclauren.DERIV_tac and
   575 Maclauren.deriv_tac should be replaced by (auto intro!: DERIV_intros).
   576 INCOMPATIBILITY.
   577 
   578 * Code generator attributes follow the usual underscore convention:
   579     code_unfold     replaces    code unfold
   580     code_post       replaces    code post
   581     etc.
   582   INCOMPATIBILITY.
   583 
   584 * Renamed methods:
   585     sizechange -> size_change
   586     induct_scheme -> induction_schema
   587   INCOMPATIBILITY.
   588 
   589 * Discontinued abbreviation "arbitrary" of constant "undefined".
   590 INCOMPATIBILITY, use "undefined" directly.
   591 
   592 * Renamed theorems:
   593     Suc_eq_add_numeral_1 -> Suc_eq_plus1
   594     Suc_eq_add_numeral_1_left -> Suc_eq_plus1_left
   595     Suc_plus1 -> Suc_eq_plus1
   596     *anti_sym -> *antisym*
   597     vector_less_eq_def -> vector_le_def
   598   INCOMPATIBILITY.
   599 
   600 * Added theorem List.map_map as [simp].  Removed List.map_compose.
   601 INCOMPATIBILITY.
   602 
   603 * Removed predicate "M hassize n" (<--> card M = n & finite M).
   604 INCOMPATIBILITY.
   605 
   606 
   607 *** HOLCF ***
   608 
   609 * Theory Representable defines a class "rep" of domains that are
   610 representable (via an ep-pair) in the universal domain type "udom".
   611 Instances are provided for all type constructors defined in HOLCF.
   612 
   613 * The 'new_domain' command is a purely definitional version of the
   614 domain package, for representable domains.  Syntax is identical to the
   615 old domain package.  The 'new_domain' package also supports indirect
   616 recursion using previously-defined type constructors.  See
   617 src/HOLCF/ex/New_Domain.thy for examples.
   618 
   619 * Method "fixrec_simp" unfolds one step of a fixrec-defined constant
   620 on the left-hand side of an equation, and then performs
   621 simplification.  Rewriting is done using rules declared with the
   622 "fixrec_simp" attribute.  The "fixrec_simp" method is intended as a
   623 replacement for "fixpat"; see src/HOLCF/ex/Fixrec_ex.thy for examples.
   624 
   625 * The pattern-match compiler in 'fixrec' can now handle constructors
   626 with HOL function types.  Pattern-match combinators for the Pair
   627 constructor are pre-configured.
   628 
   629 * The 'fixrec' package now produces better fixed-point induction rules
   630 for mutually-recursive definitions:  Induction rules have conclusions
   631 of the form "P foo bar" instead of "P <foo, bar>".
   632 
   633 * The constant "sq_le" (with infix syntax "<<" or "\<sqsubseteq>") has
   634 been renamed to "below".  The name "below" now replaces "less" in many
   635 theorem names.  (Legacy theorem names using "less" are still supported
   636 as well.)
   637 
   638 * The 'fixrec' package now supports "bottom patterns".  Bottom
   639 patterns can be used to generate strictness rules, or to make
   640 functions more strict (much like the bang-patterns supported by the
   641 Glasgow Haskell Compiler).  See src/HOLCF/ex/Fixrec_ex.thy for
   642 examples.
   643 
   644 
   645 *** ML ***
   646 
   647 * Support for Poly/ML 5.3.0, with improved reporting of compiler
   648 errors and run-time exceptions, including detailed source positions.
   649 
   650 * Structure Name_Space (formerly NameSpace) now manages uniquely
   651 identified entries, with some additional information such as source
   652 position, logical grouping etc.
   653 
   654 * Theory and context data is now introduced by the simplified and
   655 modernized functors Theory_Data, Proof_Data, Generic_Data.  Data needs
   656 to be pure, but the old TheoryDataFun for mutable data (with explicit
   657 copy operation) is still available for some time.
   658 
   659 * Structure Synchronized (cf. src/Pure/Concurrent/synchronized.ML)
   660 provides a high-level programming interface to synchronized state
   661 variables with atomic update.  This works via pure function
   662 application within a critical section -- its runtime should be as
   663 short as possible; beware of deadlocks if critical code is nested,
   664 either directly or indirectly via other synchronized variables!
   665 
   666 * Structure Unsynchronized (cf. src/Pure/ML-Systems/unsynchronized.ML)
   667 wraps raw ML references, explicitly indicating their non-thread-safe
   668 behaviour.  The Isar toplevel keeps this structure open, to
   669 accommodate Proof General as well as quick and dirty interactive
   670 experiments with references.
   671 
   672 * PARALLEL_CHOICE and PARALLEL_GOALS provide basic support for
   673 parallel tactical reasoning.
   674 
   675 * Tacticals Subgoal.FOCUS, Subgoal.FOCUS_PREMS, Subgoal.FOCUS_PARAMS
   676 are similar to SUBPROOF, but are slightly more flexible: only the
   677 specified parts of the subgoal are imported into the context, and the
   678 body tactic may introduce new subgoals and schematic variables.
   679 
   680 * Old tactical METAHYPS, which does not observe the proof context, has
   681 been renamed to Old_Goals.METAHYPS and awaits deletion.  Use SUBPROOF
   682 or Subgoal.FOCUS etc.
   683 
   684 * Renamed functor TableFun to Table, and GraphFun to Graph.  (Since
   685 functors have their own ML name space there is no point to mark them
   686 separately.)  Minor INCOMPATIBILITY.
   687 
   688 * Renamed NamedThmsFun to Named_Thms.  INCOMPATIBILITY.
   689 
   690 * Renamed several structures FooBar to Foo_Bar.  Occasional,
   691 INCOMPATIBILITY.
   692 
   693 * Operations of structure Skip_Proof no longer require quick_and_dirty
   694 mode, which avoids critical setmp.
   695 
   696 * Eliminated old Attrib.add_attributes, Method.add_methods and related
   697 combinators for "args".  INCOMPATIBILITY, need to use simplified
   698 Attrib/Method.setup introduced in Isabelle2009.
   699 
   700 * Proper context for simpset_of, claset_of, clasimpset_of.  May fall
   701 back on global_simpset_of, global_claset_of, global_clasimpset_of as
   702 last resort.  INCOMPATIBILITY.
   703 
   704 * Display.pretty_thm now requires a proper context (cf. former
   705 ProofContext.pretty_thm).  May fall back on Display.pretty_thm_global
   706 or even Display.pretty_thm_without_context as last resort.
   707 INCOMPATIBILITY.
   708 
   709 * Discontinued Display.pretty_ctyp/cterm etc.  INCOMPATIBILITY, use
   710 Syntax.pretty_typ/term directly, preferably with proper context
   711 instead of global theory.
   712 
   713 
   714 *** System ***
   715 
   716 * Further fine tuning of parallel proof checking, scales up to 8 cores
   717 (max. speedup factor 5.0).  See also Goal.parallel_proofs in ML and
   718 usedir option -q.
   719 
   720 * Support for additional "Isabelle components" via etc/components, see
   721 also the system manual.
   722 
   723 * The isabelle makeall tool now operates on all components with
   724 IsaMakefile, not just hardwired "logics".
   725 
   726 * Removed "compress" option from isabelle-process and isabelle usedir;
   727 this is always enabled.
   728 
   729 * Discontinued support for Poly/ML 4.x versions.
   730 
   731 * Isabelle tool "wwwfind" provides web interface for 'find_theorems'
   732 on a given logic image.  This requires the lighttpd webserver and is
   733 currently supported on Linux only.
   734 
   735 
   736 
   737 New in Isabelle2009 (April 2009)
   738 --------------------------------
   739 
   740 *** General ***
   741 
   742 * Simplified main Isabelle executables, with less surprises on
   743 case-insensitive file-systems (such as Mac OS).
   744 
   745   - The main Isabelle tool wrapper is now called "isabelle" instead of
   746     "isatool."
   747 
   748   - The former "isabelle" alias for "isabelle-process" has been
   749     removed (should rarely occur to regular users).
   750 
   751   - The former "isabelle-interface" and its alias "Isabelle" have been
   752     removed (interfaces are now regular Isabelle tools).
   753 
   754 Within scripts and make files, the Isabelle environment variables
   755 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
   756 respectively.  (The latter are still available as legacy feature.)
   757 
   758 The old isabelle-interface wrapper could react in confusing ways if
   759 the interface was uninstalled or changed otherwise.  Individual
   760 interface tool configuration is now more explicit, see also the
   761 Isabelle system manual.  In particular, Proof General is now available
   762 via "isabelle emacs".
   763 
   764 INCOMPATIBILITY, need to adapt derivative scripts.  Users may need to
   765 purge installed copies of Isabelle executables and re-run "isabelle
   766 install -p ...", or use symlinks.
   767 
   768 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
   769 old ~/isabelle, which was slightly non-standard and apt to cause
   770 surprises on case-insensitive file-systems (such as Mac OS).
   771 
   772 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
   773 ~/isabelle/heaps, ~/isabelle/browser_info to the new place.  Special
   774 care is required when using older releases of Isabelle.  Note that
   775 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
   776 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
   777 
   778 * Proofs of fully specified statements are run in parallel on
   779 multi-core systems.  A speedup factor of 2.5 to 3.2 can be expected on
   780 a regular 4-core machine, if the initial heap space is made reasonably
   781 large (cf. Poly/ML option -H).  (Requires Poly/ML 5.2.1 or later.)
   782 
   783 * The main reference manuals ("isar-ref", "implementation", and
   784 "system") have been updated and extended.  Formally checked references
   785 as hyperlinks are now available uniformly.
   786 
   787 
   788 *** Pure ***
   789 
   790 * Complete re-implementation of locales.  INCOMPATIBILITY in several
   791 respects.  The most important changes are listed below.  See the
   792 Tutorial on Locales ("locales" manual) for details.
   793 
   794 - In locale expressions, instantiation replaces renaming.  Parameters
   795 must be declared in a for clause.  To aid compatibility with previous
   796 parameter inheritance, in locale declarations, parameters that are not
   797 'touched' (instantiation position "_" or omitted) are implicitly added
   798 with their syntax at the beginning of the for clause.
   799 
   800 - Syntax from abbreviations and definitions in locales is available in
   801 locale expressions and context elements.  The latter is particularly
   802 useful in locale declarations.
   803 
   804 - More flexible mechanisms to qualify names generated by locale
   805 expressions.  Qualifiers (prefixes) may be specified in locale
   806 expressions, and can be marked as mandatory (syntax: "name!:") or
   807 optional (syntax "name?:").  The default depends for plain "name:"
   808 depends on the situation where a locale expression is used: in
   809 commands 'locale' and 'sublocale' prefixes are optional, in
   810 'interpretation' and 'interpret' prefixes are mandatory.  The old
   811 implicit qualifiers derived from the parameter names of a locale are
   812 no longer generated.
   813 
   814 - Command "sublocale l < e" replaces "interpretation l < e".  The
   815 instantiation clause in "interpretation" and "interpret" (square
   816 brackets) is no longer available.  Use locale expressions.
   817 
   818 - When converting proof scripts, mandatory qualifiers in
   819 'interpretation' and 'interpret' should be retained by default, even
   820 if this is an INCOMPATIBILITY compared to former behavior.  In the
   821 worst case, use the "name?:" form for non-mandatory ones.  Qualifiers
   822 in locale expressions range over a single locale instance only.
   823 
   824 - Dropped locale element "includes".  This is a major INCOMPATIBILITY.
   825 In existing theorem specifications replace the includes element by the
   826 respective context elements of the included locale, omitting those
   827 that are already present in the theorem specification.  Multiple
   828 assume elements of a locale should be replaced by a single one
   829 involving the locale predicate.  In the proof body, declarations (most
   830 notably theorems) may be regained by interpreting the respective
   831 locales in the proof context as required (command "interpret").
   832 
   833 If using "includes" in replacement of a target solely because the
   834 parameter types in the theorem are not as general as in the target,
   835 consider declaring a new locale with additional type constraints on
   836 the parameters (context element "constrains").
   837 
   838 - Discontinued "locale (open)".  INCOMPATIBILITY.
   839 
   840 - Locale interpretation commands no longer attempt to simplify goal.
   841 INCOMPATIBILITY: in rare situations the generated goal differs.  Use
   842 methods intro_locales and unfold_locales to clarify.
   843 
   844 - Locale interpretation commands no longer accept interpretation
   845 attributes.  INCOMPATIBILITY.
   846 
   847 * Class declaration: so-called "base sort" must not be given in import
   848 list any longer, but is inferred from the specification.  Particularly
   849 in HOL, write
   850 
   851     class foo = ...
   852 
   853 instead of
   854 
   855     class foo = type + ...
   856 
   857 * Class target: global versions of theorems stemming do not carry a
   858 parameter prefix any longer.  INCOMPATIBILITY.
   859 
   860 * Class 'instance' command no longer accepts attached definitions.
   861 INCOMPATIBILITY, use proper 'instantiation' target instead.
   862 
   863 * Recovered hiding of consts, which was accidentally broken in
   864 Isabelle2007.  Potential INCOMPATIBILITY, ``hide const c'' really
   865 makes c inaccessible; consider using ``hide (open) const c'' instead.
   866 
   867 * Slightly more coherent Pure syntax, with updated documentation in
   868 isar-ref manual.  Removed locales meta_term_syntax and
   869 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
   870 INCOMPATIBILITY in rare situations.  Note that &&& should not be used
   871 directly in regular applications.
   872 
   873 * There is a new syntactic category "float_const" for signed decimal
   874 fractions (e.g. 123.45 or -123.45).
   875 
   876 * Removed exotic 'token_translation' command.  INCOMPATIBILITY, use ML
   877 interface with 'setup' command instead.
   878 
   879 * Command 'local_setup' is similar to 'setup', but operates on a local
   880 theory context.
   881 
   882 * The 'axiomatization' command now only works within a global theory
   883 context.  INCOMPATIBILITY.
   884 
   885 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
   886 hypotheses.  Sorts required in the course of reasoning need to be
   887 covered by the constraints in the initial statement, completed by the
   888 type instance information of the background theory.  Non-trivial sort
   889 hypotheses, which rarely occur in practice, may be specified via
   890 vacuous propositions of the form SORT_CONSTRAINT('a::c).  For example:
   891 
   892   lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
   893 
   894 The result contains an implicit sort hypotheses as before --
   895 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
   896 normalization.
   897 
   898 * Generalized Isar history, with support for linear undo, direct state
   899 addressing etc.
   900 
   901 * Changed defaults for unify configuration options:
   902 
   903   unify_trace_bound = 50 (formerly 25)
   904   unify_search_bound = 60 (formerly 30)
   905 
   906 * Different bookkeeping for code equations (INCOMPATIBILITY):
   907 
   908   a) On theory merge, the last set of code equations for a particular
   909      constant is taken (in accordance with the policy applied by other
   910      parts of the code generator framework).
   911 
   912   b) Code equations stemming from explicit declarations (e.g. code
   913      attribute) gain priority over default code equations stemming
   914      from definition, primrec, fun etc.
   915 
   916 * Keyword 'code_exception' now named 'code_abort'.  INCOMPATIBILITY.
   917 
   918 * Unified theorem tables for both code generators.  Thus [code
   919 func] has disappeared and only [code] remains.  INCOMPATIBILITY.
   920 
   921 * Command 'find_consts' searches for constants based on type and name
   922 patterns, e.g.
   923 
   924     find_consts "_ => bool"
   925 
   926 By default, matching is against subtypes, but it may be restricted to
   927 the whole type.  Searching by name is possible.  Multiple queries are
   928 conjunctive and queries may be negated by prefixing them with a
   929 hyphen:
   930 
   931     find_consts strict: "_ => bool" name: "Int" -"int => int"
   932 
   933 * New 'find_theorems' criterion "solves" matches theorems that
   934 directly solve the current goal (modulo higher-order unification).
   935 
   936 * Auto solve feature for main theorem statements: whenever a new goal
   937 is stated, "find_theorems solves" is called; any theorems that could
   938 solve the lemma directly are listed as part of the goal state.
   939 Cf. associated options in Proof General Isabelle settings menu,
   940 enabled by default, with reasonable timeout for pathological cases of
   941 higher-order unification.
   942 
   943 
   944 *** Document preparation ***
   945 
   946 * Antiquotation @{lemma} now imitates a regular terminal proof,
   947 demanding keyword 'by' and supporting the full method expression
   948 syntax just like the Isar command 'by'.
   949 
   950 
   951 *** HOL ***
   952 
   953 * Integrated main parts of former image HOL-Complex with HOL.  Entry
   954 points Main and Complex_Main remain as before.
   955 
   956 * Logic image HOL-Plain provides a minimal HOL with the most important
   957 tools available (inductive, datatype, primrec, ...).  This facilitates
   958 experimentation and tool development.  Note that user applications
   959 (and library theories) should never refer to anything below theory
   960 Main, as before.
   961 
   962 * Logic image HOL-Main stops at theory Main, and thus facilitates
   963 experimentation due to shorter build times.
   964 
   965 * Logic image HOL-NSA contains theories of nonstandard analysis which
   966 were previously part of former HOL-Complex.  Entry point Hyperreal
   967 remains valid, but theories formerly using Complex_Main should now use
   968 new entry point Hypercomplex.
   969 
   970 * Generic ATP manager for Sledgehammer, based on ML threads instead of
   971 Posix processes.  Avoids potentially expensive forking of the ML
   972 process.  New thread-based implementation also works on non-Unix
   973 platforms (Cygwin).  Provers are no longer hardwired, but defined
   974 within the theory via plain ML wrapper functions.  Basic Sledgehammer
   975 commands are covered in the isar-ref manual.
   976 
   977 * Wrapper scripts for remote SystemOnTPTP service allows to use
   978 sledgehammer without local ATP installation (Vampire etc.). Other
   979 provers may be included via suitable ML wrappers, see also
   980 src/HOL/ATP_Linkup.thy.
   981 
   982 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
   983 menu.
   984 
   985 * The metis method no longer fails because the theorem is too trivial
   986 (contains the empty clause).
   987 
   988 * The metis method now fails in the usual manner, rather than raising
   989 an exception, if it determines that it cannot prove the theorem.
   990 
   991 * Method "coherent" implements a prover for coherent logic (see also
   992 src/Tools/coherent.ML).
   993 
   994 * Constants "undefined" and "default" replace "arbitrary".  Usually
   995 "undefined" is the right choice to replace "arbitrary", though
   996 logically there is no difference.  INCOMPATIBILITY.
   997 
   998 * Command "value" now integrates different evaluation mechanisms.  The
   999 result of the first successful evaluation mechanism is printed.  In
  1000 square brackets a particular named evaluation mechanisms may be
  1001 specified (currently, [SML], [code] or [nbe]).  See further
  1002 src/HOL/ex/Eval_Examples.thy.
  1003 
  1004 * Normalization by evaluation now allows non-leftlinear equations.
  1005 Declare with attribute [code nbe].
  1006 
  1007 * Methods "case_tac" and "induct_tac" now refer to the very same rules
  1008 as the structured Isar versions "cases" and "induct", cf. the
  1009 corresponding "cases" and "induct" attributes.  Mutual induction rules
  1010 are now presented as a list of individual projections
  1011 (e.g. foo_bar.inducts for types foo and bar); the old format with
  1012 explicit HOL conjunction is no longer supported.  INCOMPATIBILITY, in
  1013 rare situations a different rule is selected --- notably nested tuple
  1014 elimination instead of former prod.exhaust: use explicit (case_tac t
  1015 rule: prod.exhaust) here.
  1016 
  1017 * Attributes "cases", "induct", "coinduct" support "del" option.
  1018 
  1019 * Removed fact "case_split_thm", which duplicates "case_split".
  1020 
  1021 * The option datatype has been moved to a new theory Option.  Renamed
  1022 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
  1023 
  1024 * New predicate "strict_mono" classifies strict functions on partial
  1025 orders.  With strict functions on linear orders, reasoning about
  1026 (in)equalities is facilitated by theorems "strict_mono_eq",
  1027 "strict_mono_less_eq" and "strict_mono_less".
  1028 
  1029 * Some set operations are now proper qualified constants with
  1030 authentic syntax.  INCOMPATIBILITY:
  1031 
  1032     op Int ~>   Set.Int
  1033     op Un ~>    Set.Un
  1034     INTER ~>    Set.INTER
  1035     UNION ~>    Set.UNION
  1036     Inter ~>    Set.Inter
  1037     Union ~>    Set.Union
  1038     {} ~>       Set.empty
  1039     UNIV ~>     Set.UNIV
  1040 
  1041 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
  1042 theory Set.
  1043 
  1044 * Auxiliary class "itself" has disappeared -- classes without any
  1045 parameter are treated as expected by the 'class' command.
  1046 
  1047 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
  1048 
  1049 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
  1050 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
  1051 
  1052 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
  1053 method "approximation".  It proves formulas on real values by using
  1054 interval arithmetic.  In the formulas are also the transcendental
  1055 functions sin, cos, tan, atan, ln, exp and the constant pi are
  1056 allowed. For examples see
  1057 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
  1058 
  1059 * Theory "Reflection" now resides in HOL/Library.
  1060 
  1061 * Entry point to Word library now simply named "Word".
  1062 INCOMPATIBILITY.
  1063 
  1064 * Made source layout more coherent with logical distribution
  1065 structure:
  1066 
  1067     src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
  1068     src/HOL/Library/Code_Message.thy ~> src/HOL/
  1069     src/HOL/Library/GCD.thy ~> src/HOL/
  1070     src/HOL/Library/Order_Relation.thy ~> src/HOL/
  1071     src/HOL/Library/Parity.thy ~> src/HOL/
  1072     src/HOL/Library/Univ_Poly.thy ~> src/HOL/
  1073     src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
  1074     src/HOL/Real/Lubs.thy ~> src/HOL/
  1075     src/HOL/Real/PReal.thy ~> src/HOL/
  1076     src/HOL/Real/Rational.thy ~> src/HOL/
  1077     src/HOL/Real/RComplete.thy ~> src/HOL/
  1078     src/HOL/Real/RealDef.thy ~> src/HOL/
  1079     src/HOL/Real/RealPow.thy ~> src/HOL/
  1080     src/HOL/Real/Real.thy ~> src/HOL/
  1081     src/HOL/Complex/Complex_Main.thy ~> src/HOL/
  1082     src/HOL/Complex/Complex.thy ~> src/HOL/
  1083     src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
  1084     src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
  1085     src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
  1086     src/HOL/Hyperreal/Fact.thy ~> src/HOL/
  1087     src/HOL/Hyperreal/Integration.thy ~> src/HOL/
  1088     src/HOL/Hyperreal/Lim.thy ~> src/HOL/
  1089     src/HOL/Hyperreal/Ln.thy ~> src/HOL/
  1090     src/HOL/Hyperreal/Log.thy ~> src/HOL/
  1091     src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
  1092     src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
  1093     src/HOL/Hyperreal/Series.thy ~> src/HOL/
  1094     src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
  1095     src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
  1096     src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
  1097     src/HOL/Real/Float ~> src/HOL/Library/
  1098     src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
  1099     src/HOL/Real/RealVector.thy ~> src/HOL/
  1100 
  1101     src/HOL/arith_data.ML ~> src/HOL/Tools
  1102     src/HOL/hologic.ML ~> src/HOL/Tools
  1103     src/HOL/simpdata.ML ~> src/HOL/Tools
  1104     src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
  1105     src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
  1106     src/HOL/nat_simprocs.ML ~> src/HOL/Tools
  1107     src/HOL/Real/float_arith.ML ~> src/HOL/Tools
  1108     src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
  1109     src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
  1110     src/HOL/Real/real_arith.ML ~> src/HOL/Tools
  1111 
  1112     src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
  1113     src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
  1114     src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
  1115     src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
  1116     src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
  1117     src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
  1118 
  1119 * If methods "eval" and "evaluation" encounter a structured proof
  1120 state with !!/==>, only the conclusion is evaluated to True (if
  1121 possible), avoiding strange error messages.
  1122 
  1123 * Method "sizechange" automates termination proofs using (a
  1124 modification of) the size-change principle.  Requires SAT solver.  See
  1125 src/HOL/ex/Termination.thy for examples.
  1126 
  1127 * Simplifier: simproc for let expressions now unfolds if bound
  1128 variable occurs at most once in let expression body.  INCOMPATIBILITY.
  1129 
  1130 * Method "arith": Linear arithmetic now ignores all inequalities when
  1131 fast_arith_neq_limit is exceeded, instead of giving up entirely.
  1132 
  1133 * New attribute "arith" for facts that should always be used
  1134 automatically by arithmetic. It is intended to be used locally in
  1135 proofs, e.g.
  1136 
  1137   assumes [arith]: "x > 0"
  1138 
  1139 Global usage is discouraged because of possible performance impact.
  1140 
  1141 * New classes "top" and "bot" with corresponding operations "top" and
  1142 "bot" in theory Orderings; instantiation of class "complete_lattice"
  1143 requires instantiation of classes "top" and "bot".  INCOMPATIBILITY.
  1144 
  1145 * Changed definition lemma "less_fun_def" in order to provide an
  1146 instance for preorders on functions; use lemma "less_le" instead.
  1147 INCOMPATIBILITY.
  1148 
  1149 * Theory Orderings: class "wellorder" moved here, with explicit
  1150 induction rule "less_induct" as assumption.  For instantiation of
  1151 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
  1152 INCOMPATIBILITY.
  1153 
  1154 * Theory Orderings: added class "preorder" as superclass of "order".
  1155 INCOMPATIBILITY: Instantiation proofs for order, linorder
  1156 etc. slightly changed.  Some theorems named order_class.* now named
  1157 preorder_class.*.
  1158 
  1159 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
  1160 "diag" to "Id_on".
  1161 
  1162 * Theory Finite_Set: added a new fold combinator of type
  1163 
  1164   ('a => 'b => 'b) => 'b => 'a set => 'b
  1165 
  1166 Occasionally this is more convenient than the old fold combinator
  1167 which is now defined in terms of the new one and renamed to
  1168 fold_image.
  1169 
  1170 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
  1171 and "ring_simps" have been replaced by "algebra_simps" (which can be
  1172 extended with further lemmas!).  At the moment both still exist but
  1173 the former will disappear at some point.
  1174 
  1175 * Theory Power: Lemma power_Suc is now declared as a simp rule in
  1176 class recpower.  Type-specific simp rules for various recpower types
  1177 have been removed.  INCOMPATIBILITY, rename old lemmas as follows:
  1178 
  1179 rat_power_0    -> power_0
  1180 rat_power_Suc  -> power_Suc
  1181 realpow_0      -> power_0
  1182 realpow_Suc    -> power_Suc
  1183 complexpow_0   -> power_0
  1184 complexpow_Suc -> power_Suc
  1185 power_poly_0   -> power_0
  1186 power_poly_Suc -> power_Suc
  1187 
  1188 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
  1189 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
  1190 dvd has been generalized to class comm_semiring_1.  Likewise a bunch
  1191 of lemmas from Divides has been generalized from nat to class
  1192 semiring_div.  INCOMPATIBILITY.  This involves the following theorem
  1193 renames resulting from duplicate elimination:
  1194 
  1195     dvd_def_mod ~>          dvd_eq_mod_eq_0
  1196     zero_dvd_iff ~>         dvd_0_left_iff
  1197     dvd_0 ~>                dvd_0_right
  1198     DIVISION_BY_ZERO_DIV ~> div_by_0
  1199     DIVISION_BY_ZERO_MOD ~> mod_by_0
  1200     mult_div ~>             div_mult_self2_is_id
  1201     mult_mod ~>             mod_mult_self2_is_0
  1202 
  1203 * Theory IntDiv: removed many lemmas that are instances of class-based
  1204 generalizations (from Divides and Ring_and_Field).  INCOMPATIBILITY,
  1205 rename old lemmas as follows:
  1206 
  1207 dvd_diff               -> nat_dvd_diff
  1208 dvd_zminus_iff         -> dvd_minus_iff
  1209 mod_add1_eq            -> mod_add_eq
  1210 mod_mult1_eq           -> mod_mult_right_eq
  1211 mod_mult1_eq'          -> mod_mult_left_eq
  1212 mod_mult_distrib_mod   -> mod_mult_eq
  1213 nat_mod_add_left_eq    -> mod_add_left_eq
  1214 nat_mod_add_right_eq   -> mod_add_right_eq
  1215 nat_mod_div_trivial    -> mod_div_trivial
  1216 nat_mod_mod_trivial    -> mod_mod_trivial
  1217 zdiv_zadd_self1        -> div_add_self1
  1218 zdiv_zadd_self2        -> div_add_self2
  1219 zdiv_zmult_self1       -> div_mult_self2_is_id
  1220 zdiv_zmult_self2       -> div_mult_self1_is_id
  1221 zdvd_triv_left         -> dvd_triv_left
  1222 zdvd_triv_right        -> dvd_triv_right
  1223 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
  1224 zmod_eq0_zdvd_iff      -> dvd_eq_mod_eq_0[symmetric]
  1225 zmod_zadd_left_eq      -> mod_add_left_eq
  1226 zmod_zadd_right_eq     -> mod_add_right_eq
  1227 zmod_zadd_self1        -> mod_add_self1
  1228 zmod_zadd_self2        -> mod_add_self2
  1229 zmod_zadd1_eq          -> mod_add_eq
  1230 zmod_zdiff1_eq         -> mod_diff_eq
  1231 zmod_zdvd_zmod         -> mod_mod_cancel
  1232 zmod_zmod_cancel       -> mod_mod_cancel
  1233 zmod_zmult_self1       -> mod_mult_self2_is_0
  1234 zmod_zmult_self2       -> mod_mult_self1_is_0
  1235 zmod_1                 -> mod_by_1
  1236 zdiv_1                 -> div_by_1
  1237 zdvd_abs1              -> abs_dvd_iff
  1238 zdvd_abs2              -> dvd_abs_iff
  1239 zdvd_refl              -> dvd_refl
  1240 zdvd_trans             -> dvd_trans
  1241 zdvd_zadd              -> dvd_add
  1242 zdvd_zdiff             -> dvd_diff
  1243 zdvd_zminus_iff        -> dvd_minus_iff
  1244 zdvd_zminus2_iff       -> minus_dvd_iff
  1245 zdvd_zmultD            -> dvd_mult_right
  1246 zdvd_zmultD2           -> dvd_mult_left
  1247 zdvd_zmult_mono        -> mult_dvd_mono
  1248 zdvd_0_right           -> dvd_0_right
  1249 zdvd_0_left            -> dvd_0_left_iff
  1250 zdvd_1_left            -> one_dvd
  1251 zminus_dvd_iff         -> minus_dvd_iff
  1252 
  1253 * Theory Rational: 'Fract k 0' now equals '0'.  INCOMPATIBILITY.
  1254 
  1255 * The real numbers offer decimal input syntax: 12.34 is translated
  1256 into 1234/10^2. This translation is not reversed upon output.
  1257 
  1258 * Theory Library/Polynomial defines an abstract type 'a poly of
  1259 univariate polynomials with coefficients of type 'a.  In addition to
  1260 the standard ring operations, it also supports div and mod.  Code
  1261 generation is also supported, using list-style constructors.
  1262 
  1263 * Theory Library/Inner_Product defines a class of real_inner for real
  1264 inner product spaces, with an overloaded operation inner :: 'a => 'a
  1265 => real.  Class real_inner is a subclass of real_normed_vector from
  1266 theory RealVector.
  1267 
  1268 * Theory Library/Product_Vector provides instances for the product
  1269 type 'a * 'b of several classes from RealVector and Inner_Product.
  1270 Definitions of addition, subtraction, scalar multiplication, norms,
  1271 and inner products are included.
  1272 
  1273 * Theory Library/Bit defines the field "bit" of integers modulo 2.  In
  1274 addition to the field operations, numerals and case syntax are also
  1275 supported.
  1276 
  1277 * Theory Library/Diagonalize provides constructive version of Cantor's
  1278 first diagonalization argument.
  1279 
  1280 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
  1281 zlcm (for int); carried together from various gcd/lcm developements in
  1282 the HOL Distribution.  Constants zgcd and zlcm replace former igcd and
  1283 ilcm; corresponding theorems renamed accordingly.  INCOMPATIBILITY,
  1284 may recover tupled syntax as follows:
  1285 
  1286     hide (open) const gcd
  1287     abbreviation gcd where
  1288       "gcd == (%(a, b). GCD.gcd a b)"
  1289     notation (output)
  1290       GCD.gcd ("gcd '(_, _')")
  1291 
  1292 The same works for lcm, zgcd, zlcm.
  1293 
  1294 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
  1295 instantiations for algebraic structures.  Removed some duplicate
  1296 theorems.  Changes in simp rules.  INCOMPATIBILITY.
  1297 
  1298 * ML antiquotation @{code} takes a constant as argument and generates
  1299 corresponding code in background and inserts name of the corresponding
  1300 resulting ML value/function/datatype constructor binding in place.
  1301 All occurrences of @{code} with a single ML block are generated
  1302 simultaneously.  Provides a generic and safe interface for
  1303 instrumentalizing code generation.  See
  1304 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
  1305 In future you ought to refrain from ad-hoc compiling generated SML
  1306 code on the ML toplevel.  Note that (for technical reasons) @{code}
  1307 cannot refer to constants for which user-defined serializations are
  1308 set.  Refer to the corresponding ML counterpart directly in that
  1309 cases.
  1310 
  1311 * Command 'rep_datatype': instead of theorem names the command now
  1312 takes a list of terms denoting the constructors of the type to be
  1313 represented as datatype.  The characteristic theorems have to be
  1314 proven.  INCOMPATIBILITY.  Also observe that the following theorems
  1315 have disappeared in favour of existing ones:
  1316 
  1317     unit_induct                 ~> unit.induct
  1318     prod_induct                 ~> prod.induct
  1319     sum_induct                  ~> sum.induct
  1320     Suc_Suc_eq                  ~> nat.inject
  1321     Suc_not_Zero Zero_not_Suc   ~> nat.distinct
  1322 
  1323 
  1324 *** HOL-Algebra ***
  1325 
  1326 * New locales for orders and lattices where the equivalence relation
  1327 is not restricted to equality.  INCOMPATIBILITY: all order and lattice
  1328 locales use a record structure with field eq for the equivalence.
  1329 
  1330 * New theory of factorial domains.
  1331 
  1332 * Units_l_inv and Units_r_inv are now simp rules by default.
  1333 INCOMPATIBILITY.  Simplifier proof that require deletion of l_inv
  1334 and/or r_inv will now also require deletion of these lemmas.
  1335 
  1336 * Renamed the following theorems, INCOMPATIBILITY:
  1337 
  1338 UpperD ~> Upper_memD
  1339 LowerD ~> Lower_memD
  1340 least_carrier ~> least_closed
  1341 greatest_carrier ~> greatest_closed
  1342 greatest_Lower_above ~> greatest_Lower_below
  1343 one_zero ~> carrier_one_zero
  1344 one_not_zero ~> carrier_one_not_zero  (collision with assumption)
  1345 
  1346 
  1347 *** HOL-Nominal ***
  1348 
  1349 * Nominal datatypes can now contain type-variables.
  1350 
  1351 * Commands 'nominal_inductive' and 'equivariance' work with local
  1352 theory targets.
  1353 
  1354 * Nominal primrec can now works with local theory targets and its
  1355 specification syntax now conforms to the general format as seen in
  1356 'inductive' etc.
  1357 
  1358 * Method "perm_simp" honours the standard simplifier attributes
  1359 (no_asm), (no_asm_use) etc.
  1360 
  1361 * The new predicate #* is defined like freshness, except that on the
  1362 left hand side can be a set or list of atoms.
  1363 
  1364 * Experimental command 'nominal_inductive2' derives strong induction
  1365 principles for inductive definitions.  In contrast to
  1366 'nominal_inductive', which can only deal with a fixed number of
  1367 binders, it can deal with arbitrary expressions standing for sets of
  1368 atoms to be avoided.  The only inductive definition we have at the
  1369 moment that needs this generalisation is the typing rule for Lets in
  1370 the algorithm W:
  1371 
  1372  Gamma |- t1 : T1   (x,close Gamma T1)::Gamma |- t2 : T2   x#Gamma
  1373  -----------------------------------------------------------------
  1374          Gamma |- Let x be t1 in t2 : T2
  1375 
  1376 In this rule one wants to avoid all the binders that are introduced by
  1377 "close Gamma T1".  We are looking for other examples where this
  1378 feature might be useful.  Please let us know.
  1379 
  1380 
  1381 *** HOLCF ***
  1382 
  1383 * Reimplemented the simplification procedure for proving continuity
  1384 subgoals.  The new simproc is extensible; users can declare additional
  1385 continuity introduction rules with the attribute [cont2cont].
  1386 
  1387 * The continuity simproc now uses a different introduction rule for
  1388 solving continuity subgoals on terms with lambda abstractions.  In
  1389 some rare cases the new simproc may fail to solve subgoals that the
  1390 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
  1391 Potential INCOMPATIBILITY.
  1392 
  1393 * Command 'fixrec': specification syntax now conforms to the general
  1394 format as seen in 'inductive' etc.  See src/HOLCF/ex/Fixrec_ex.thy for
  1395 examples.  INCOMPATIBILITY.
  1396 
  1397 
  1398 *** ZF ***
  1399 
  1400 * Proof of Zorn's Lemma for partial orders.
  1401 
  1402 
  1403 *** ML ***
  1404 
  1405 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
  1406 Poly/ML 5.2.1 or later.  Important note: the TimeLimit facility
  1407 depends on multithreading, so timouts will not work before Poly/ML
  1408 5.2.1!
  1409 
  1410 * High-level support for concurrent ML programming, see
  1411 src/Pure/Cuncurrent.  The data-oriented model of "future values" is
  1412 particularly convenient to organize independent functional
  1413 computations.  The concept of "synchronized variables" provides a
  1414 higher-order interface for components with shared state, avoiding the
  1415 delicate details of mutexes and condition variables.  (Requires
  1416 Poly/ML 5.2.1 or later.)
  1417 
  1418 * ML bindings produced via Isar commands are stored within the Isar
  1419 context (theory or proof).  Consequently, commands like 'use' and 'ML'
  1420 become thread-safe and work with undo as expected (concerning
  1421 top-level bindings, not side-effects on global references).
  1422 INCOMPATIBILITY, need to provide proper Isar context when invoking the
  1423 compiler at runtime; really global bindings need to be given outside a
  1424 theory.  (Requires Poly/ML 5.2 or later.)
  1425 
  1426 * Command 'ML_prf' is analogous to 'ML' but works within a proof
  1427 context.  Top-level ML bindings are stored within the proof context in
  1428 a purely sequential fashion, disregarding the nested proof structure.
  1429 ML bindings introduced by 'ML_prf' are discarded at the end of the
  1430 proof.  (Requires Poly/ML 5.2 or later.)
  1431 
  1432 * Simplified ML attribute and method setup, cf. functions Attrib.setup
  1433 and Method.setup, as well as Isar commands 'attribute_setup' and
  1434 'method_setup'.  INCOMPATIBILITY for 'method_setup', need to simplify
  1435 existing code accordingly, or use plain 'setup' together with old
  1436 Method.add_method.
  1437 
  1438 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
  1439 to 'a -> thm, while results are always tagged with an authentic oracle
  1440 name.  The Isar command 'oracle' is now polymorphic, no argument type
  1441 is specified.  INCOMPATIBILITY, need to simplify existing oracle code
  1442 accordingly.  Note that extra performance may be gained by producing
  1443 the cterm carefully, avoiding slow Thm.cterm_of.
  1444 
  1445 * Simplified interface for defining document antiquotations via
  1446 ThyOutput.antiquotation, ThyOutput.output, and optionally
  1447 ThyOutput.maybe_pretty_source.  INCOMPATIBILITY, need to simplify user
  1448 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
  1449 examples.
  1450 
  1451 * More systematic treatment of long names, abstract name bindings, and
  1452 name space operations.  Basic operations on qualified names have been
  1453 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
  1454 Long_Name.append.  Old type bstring has been mostly replaced by
  1455 abstract type binding (see structure Binding), which supports precise
  1456 qualification by packages and local theory targets, as well as proper
  1457 tracking of source positions.  INCOMPATIBILITY, need to wrap old
  1458 bstring values into Binding.name, or better pass through abstract
  1459 bindings everywhere.  See further src/Pure/General/long_name.ML,
  1460 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
  1461 
  1462 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
  1463 LocalTheory.note etc.) now refer to the *full* internal name, not the
  1464 bstring as before.  INCOMPATIBILITY, not detected by ML type-checking!
  1465 
  1466 * Disposed old type and term read functions (Sign.read_def_typ,
  1467 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
  1468 Thm.read_def_cterms, Thm.read_cterm etc.).  INCOMPATIBILITY, should
  1469 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
  1470 Syntax.read_term_global etc.; see also OldGoals.read_term as last
  1471 resort for legacy applications.
  1472 
  1473 * Disposed old declarations, tactics, tactic combinators that refer to
  1474 the simpset or claset of an implicit theory (such as Addsimps,
  1475 Simp_tac, SIMPSET).  INCOMPATIBILITY, should use @{simpset} etc. in
  1476 embedded ML text, or local_simpset_of with a proper context passed as
  1477 explicit runtime argument.
  1478 
  1479 * Rules and tactics that read instantiations (read_instantiate,
  1480 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
  1481 context, which is required for parsing and type-checking.  Moreover,
  1482 the variables are specified as plain indexnames, not string encodings
  1483 thereof.  INCOMPATIBILITY.
  1484 
  1485 * Generic Toplevel.add_hook interface allows to analyze the result of
  1486 transactions.  E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
  1487 for theorem dependency output of transactions resulting in a new
  1488 theory state.
  1489 
  1490 * ML antiquotations: block-structured compilation context indicated by
  1491 \<lbrace> ... \<rbrace>; additional antiquotation forms:
  1492 
  1493   @{binding name}                         - basic name binding
  1494   @{let ?pat = term}                      - term abbreviation (HO matching)
  1495   @{note name = fact}                     - fact abbreviation
  1496   @{thm fact}                             - singleton fact (with attributes)
  1497   @{thms fact}                            - general fact (with attributes)
  1498   @{lemma prop by method}                 - singleton goal
  1499   @{lemma prop by meth1 meth2}            - singleton goal
  1500   @{lemma prop1 ... propN by method}      - general goal
  1501   @{lemma prop1 ... propN by meth1 meth2} - general goal
  1502   @{lemma (open) ...}                     - open derivation
  1503 
  1504 
  1505 *** System ***
  1506 
  1507 * The Isabelle "emacs" tool provides a specific interface to invoke
  1508 Proof General / Emacs, with more explicit failure if that is not
  1509 installed (the old isabelle-interface script silently falls back on
  1510 isabelle-process).  The PROOFGENERAL_HOME setting determines the
  1511 installation location of the Proof General distribution.
  1512 
  1513 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
  1514 the Isabelle process into a JVM/Scala application.  See
  1515 Isabelle/lib/jedit/plugin for a minimal example.  (The obsolete Java
  1516 process wrapper has been discontinued.)
  1517 
  1518 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
  1519 
  1520 * Various status messages (with exact source position information) are
  1521 emitted, if proper markup print mode is enabled.  This allows
  1522 user-interface components to provide detailed feedback on internal
  1523 prover operations.
  1524 
  1525 
  1526 
  1527 New in Isabelle2008 (June 2008)
  1528 -------------------------------
  1529 
  1530 *** General ***
  1531 
  1532 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
  1533 and updated, with formally checked references as hyperlinks.
  1534 
  1535 * Theory loader: use_thy (and similar operations) no longer set the
  1536 implicit ML context, which was occasionally hard to predict and in
  1537 conflict with concurrency.  INCOMPATIBILITY, use ML within Isar which
  1538 provides a proper context already.
  1539 
  1540 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1541 file are no longer supported.  INCOMPATIBILITY, regular 'uses' and
  1542 'use' within a theory file will do the job.
  1543 
  1544 * Name space merge now observes canonical order, i.e. the second space
  1545 is inserted into the first one, while existing entries in the first
  1546 space take precedence.  INCOMPATIBILITY in rare situations, may try to
  1547 swap theory imports.
  1548 
  1549 * Syntax: symbol \<chi> is now considered a letter.  Potential
  1550 INCOMPATIBILITY in identifier syntax etc.
  1551 
  1552 * Outer syntax: string tokens no longer admit escaped white space,
  1553 which was an accidental (undocumented) feature.  INCOMPATIBILITY, use
  1554 white space without escapes.
  1555 
  1556 * Outer syntax: string tokens may contain arbitrary character codes
  1557 specified via 3 decimal digits (as in SML).  E.g. "foo\095bar" for
  1558 "foo_bar".
  1559 
  1560 
  1561 *** Pure ***
  1562 
  1563 * Context-dependent token translations.  Default setup reverts locally
  1564 fixed variables, and adds hilite markup for undeclared frees.
  1565 
  1566 * Unused theorems can be found using the new command 'unused_thms'.
  1567 There are three ways of invoking it:
  1568 
  1569 (1) unused_thms
  1570      Only finds unused theorems in the current theory.
  1571 
  1572 (2) unused_thms thy_1 ... thy_n -
  1573      Finds unused theorems in the current theory and all of its ancestors,
  1574      excluding the theories thy_1 ... thy_n and all of their ancestors.
  1575 
  1576 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
  1577      Finds unused theorems in the theories thy'_1 ... thy'_m and all of
  1578      their ancestors, excluding the theories thy_1 ... thy_n and all of
  1579      their ancestors.
  1580 
  1581 In order to increase the readability of the list produced by
  1582 unused_thms, theorems that have been created by a particular instance
  1583 of a theory command such as 'inductive' or 'function' are considered
  1584 to belong to the same "group", meaning that if at least one theorem in
  1585 this group is used, the other theorems in the same group are no longer
  1586 reported as unused.  Moreover, if all theorems in the group are
  1587 unused, only one theorem in the group is displayed.
  1588 
  1589 Note that proof objects have to be switched on in order for
  1590 unused_thms to work properly (i.e. !proofs must be >= 1, which is
  1591 usually the case when using Proof General with the default settings).
  1592 
  1593 * Authentic naming of facts disallows ad-hoc overwriting of previous
  1594 theorems within the same name space.  INCOMPATIBILITY, need to remove
  1595 duplicate fact bindings, or even accidental fact duplications.  Note
  1596 that tools may maintain dynamically scoped facts systematically, using
  1597 PureThy.add_thms_dynamic.
  1598 
  1599 * Command 'hide' now allows to hide from "fact" name space as well.
  1600 
  1601 * Eliminated destructive theorem database, simpset, claset, and
  1602 clasimpset.  Potential INCOMPATIBILITY, really need to observe linear
  1603 update of theories within ML code.
  1604 
  1605 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
  1606 INCOMPATIBILITY, object-logics depending on former Pure require
  1607 additional setup PureThy.old_appl_syntax_setup; object-logics
  1608 depending on former CPure need to refer to Pure.
  1609 
  1610 * Commands 'use' and 'ML' are now purely functional, operating on
  1611 theory/local_theory.  Removed former 'ML_setup' (on theory), use 'ML'
  1612 instead.  Added 'ML_val' as mere diagnostic replacement for 'ML'.
  1613 INCOMPATIBILITY.
  1614 
  1615 * Command 'setup': discontinued implicit version with ML reference.
  1616 
  1617 * Instantiation target allows for simultaneous specification of class
  1618 instance operations together with an instantiation proof.
  1619 Type-checking phase allows to refer to class operations uniformly.
  1620 See src/HOL/Complex/Complex.thy for an Isar example and
  1621 src/HOL/Library/Eval.thy for an ML example.
  1622 
  1623 * Indexing of literal facts: be more serious about including only
  1624 facts from the visible specification/proof context, but not the
  1625 background context (locale etc.).  Affects `prop` notation and method
  1626 "fact".  INCOMPATIBILITY: need to name facts explicitly in rare
  1627 situations.
  1628 
  1629 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
  1630 "(open)" option, which used to expose internal bound variables to the
  1631 proof text.
  1632 
  1633 * Isar statements: removed obsolete case "rule_context".
  1634 INCOMPATIBILITY, better use explicit fixes/assumes.
  1635 
  1636 * Locale proofs: default proof step now includes 'unfold_locales';
  1637 hence 'proof' without argument may be used to unfold locale
  1638 predicates.
  1639 
  1640 
  1641 *** Document preparation ***
  1642 
  1643 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
  1644 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
  1645 obsolete thumbpdf setup (contemporary PDF viewers do this on the
  1646 spot); renamed link color from "darkblue" to "linkcolor" (default
  1647 value unchanged, can be redefined via \definecolor); no longer sets
  1648 "a4paper" option (unnecessary or even intrusive).
  1649 
  1650 * Antiquotation @{lemma A method} proves proposition A by the given
  1651 method (either a method name or a method name plus (optional) method
  1652 arguments in parentheses) and prints A just like @{prop A}.
  1653 
  1654 
  1655 *** HOL ***
  1656 
  1657 * New primrec package.  Specification syntax conforms in style to
  1658 definition/function/....  No separate induction rule is provided.  The
  1659 "primrec" command distinguishes old-style and new-style specifications
  1660 by syntax.  The former primrec package is now named OldPrimrecPackage.
  1661 When adjusting theories, beware: constants stemming from new-style
  1662 primrec specifications have authentic syntax.
  1663 
  1664 * Metis prover is now an order of magnitude faster, and also works
  1665 with multithreading.
  1666 
  1667 * Metis: the maximum number of clauses that can be produced from a
  1668 theorem is now given by the attribute max_clauses.  Theorems that
  1669 exceed this number are ignored, with a warning printed.
  1670 
  1671 * Sledgehammer no longer produces structured proofs by default. To
  1672 enable, declare [[sledgehammer_full = true]].  Attributes
  1673 reconstruction_modulus, reconstruction_sorts renamed
  1674 sledgehammer_modulus, sledgehammer_sorts.  INCOMPATIBILITY.
  1675 
  1676 * Method "induct_scheme" derives user-specified induction rules
  1677 from well-founded induction and completeness of patterns. This factors
  1678 out some operations that are done internally by the function package
  1679 and makes them available separately.  See
  1680 src/HOL/ex/Induction_Scheme.thy for examples.
  1681 
  1682 * More flexible generation of measure functions for termination
  1683 proofs: Measure functions can be declared by proving a rule of the
  1684 form "is_measure f" and giving it the [measure_function] attribute.
  1685 The "is_measure" predicate is logically meaningless (always true), and
  1686 just guides the heuristic.  To find suitable measure functions, the
  1687 termination prover sets up the goal "is_measure ?f" of the appropriate
  1688 type and generates all solutions by prolog-style backwards proof using
  1689 the declared rules.
  1690 
  1691 This setup also deals with rules like 
  1692 
  1693   "is_measure f ==> is_measure (list_size f)"
  1694 
  1695 which accommodates nested datatypes that recurse through lists.
  1696 Similar rules are predeclared for products and option types.
  1697 
  1698 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
  1699 
  1700   INCOMPATIBILITIES:
  1701 
  1702   - Definitions of overloaded constants on sets have to be replaced by
  1703     definitions on => and bool.
  1704 
  1705   - Some definitions of overloaded operators on sets can now be proved
  1706     using the definitions of the operators on => and bool.  Therefore,
  1707     the following theorems have been renamed:
  1708 
  1709       subset_def   -> subset_eq
  1710       psubset_def  -> psubset_eq
  1711       set_diff_def -> set_diff_eq
  1712       Compl_def    -> Compl_eq
  1713       Sup_set_def  -> Sup_set_eq
  1714       Inf_set_def  -> Inf_set_eq
  1715       sup_set_def  -> sup_set_eq
  1716       inf_set_def  -> inf_set_eq
  1717 
  1718   - Due to the incompleteness of the HO unification algorithm, some
  1719     rules such as subst may require manual instantiation, if some of
  1720     the unknowns in the rule is a set.
  1721 
  1722   - Higher order unification and forward proofs:
  1723     The proof pattern
  1724 
  1725       have "P (S::'a set)" <...>
  1726       then have "EX S. P S" ..
  1727 
  1728     no longer works (due to the incompleteness of the HO unification
  1729     algorithm) and must be replaced by the pattern
  1730 
  1731       have "EX S. P S"
  1732       proof
  1733         show "P S" <...>
  1734       qed
  1735 
  1736   - Calculational reasoning with subst (or similar rules):
  1737     The proof pattern
  1738 
  1739       have "P (S::'a set)" <...>
  1740       also have "S = T" <...>
  1741       finally have "P T" .
  1742 
  1743     no longer works (for similar reasons as the previous example) and
  1744     must be replaced by something like
  1745 
  1746       have "P (S::'a set)" <...>
  1747       moreover have "S = T" <...>
  1748       ultimately have "P T" by simp
  1749 
  1750   - Tactics or packages written in ML code:
  1751     Code performing pattern matching on types via
  1752 
  1753       Type ("set", [T]) => ...
  1754 
  1755     must be rewritten. Moreover, functions like strip_type or
  1756     binder_types no longer return the right value when applied to a
  1757     type of the form
  1758 
  1759       T1 => ... => Tn => U => bool
  1760 
  1761     rather than
  1762 
  1763       T1 => ... => Tn => U set
  1764 
  1765 * Merged theories Wellfounded_Recursion, Accessible_Part and
  1766 Wellfounded_Relations to theory Wellfounded.
  1767 
  1768 * Explicit class "eq" for executable equality.  INCOMPATIBILITY.
  1769 
  1770 * Class finite no longer treats UNIV as class parameter.  Use class
  1771 enum from theory Library/Enum instead to achieve a similar effect.
  1772 INCOMPATIBILITY.
  1773 
  1774 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
  1775 and "Cons".  INCOMPATIBILITY.
  1776 
  1777 * HOL (and FOL): renamed variables in rules imp_elim and swap.
  1778 Potential INCOMPATIBILITY.
  1779 
  1780 * Theory Product_Type: duplicated lemmas split_Pair_apply and
  1781 injective_fst_snd removed, use split_eta and prod_eqI instead.
  1782 Renamed upd_fst to apfst and upd_snd to apsnd.  INCOMPATIBILITY.
  1783 
  1784 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
  1785 the same name in theory Orderings:
  1786 
  1787   less_trans
  1788   less_linear
  1789   le_imp_less_or_eq
  1790   le_less_trans
  1791   less_le_trans
  1792   less_not_sym
  1793   less_asym
  1794 
  1795 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
  1796 less_irrefl_nat.  Potential INCOMPATIBILITY due to more general types
  1797 and different variable names.
  1798 
  1799 * Library/Option_ord.thy: Canonical order on option type.
  1800 
  1801 * Library/RBT.thy: Red-black trees, an efficient implementation of
  1802 finite maps.
  1803 
  1804 * Library/Countable.thy: Type class for countable types.
  1805 
  1806 * Theory Int: The representation of numerals has changed.  The infix
  1807 operator BIT and the bit datatype with constructors B0 and B1 have
  1808 disappeared.  INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
  1809 place of "x BIT bit.B0" and "y BIT bit.B1", respectively.  Theorems
  1810 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
  1811 accordingly.
  1812 
  1813 * Theory Nat: definition of <= and < on natural numbers no longer
  1814 depend on well-founded relations.  INCOMPATIBILITY.  Definitions
  1815 le_def and less_def have disappeared.  Consider lemmas not_less
  1816 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
  1817 
  1818 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
  1819 (whose purpose mainly is for various fold_set functionals) have been
  1820 abandoned in favor of the existing algebraic classes
  1821 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
  1822 lower_semilattice (resp. upper_semilattice) and linorder.
  1823 INCOMPATIBILITY.
  1824 
  1825 * Theory Transitive_Closure: induct and cases rules now declare proper
  1826 case_names ("base" and "step").  INCOMPATIBILITY.
  1827 
  1828 * Theorem Inductive.lfp_ordinal_induct generalized to complete
  1829 lattices.  The form set-specific version is available as
  1830 Inductive.lfp_ordinal_induct_set.
  1831 
  1832 * Renamed theorems "power.simps" to "power_int.simps".
  1833 INCOMPATIBILITY.
  1834 
  1835 * Class semiring_div provides basic abstract properties of semirings
  1836 with division and modulo operations.  Subsumes former class dvd_mod.
  1837 
  1838 * Merged theories IntDef, Numeral and IntArith into unified theory
  1839 Int.  INCOMPATIBILITY.
  1840 
  1841 * Theory Library/Code_Index: type "index" now represents natural
  1842 numbers rather than integers.  INCOMPATIBILITY.
  1843 
  1844 * New class "uminus" with operation "uminus" (split of from class
  1845 "minus" which now only has operation "minus", binary).
  1846 INCOMPATIBILITY.
  1847 
  1848 * Constants "card", "internal_split", "option_map" now with authentic
  1849 syntax.  INCOMPATIBILITY.
  1850 
  1851 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
  1852 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
  1853 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
  1854 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
  1855 Sup_set_def, le_def, less_def, option_map_def now with object
  1856 equality.  INCOMPATIBILITY.
  1857 
  1858 * Records. Removed K_record, and replaced it by pure lambda term
  1859 %x. c. The simplifier setup is now more robust against eta expansion.
  1860 INCOMPATIBILITY: in cases explicitly referring to K_record.
  1861 
  1862 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
  1863 
  1864 * Library/ListVector: new theory of arithmetic vector operations.
  1865 
  1866 * Library/Order_Relation: new theory of various orderings as sets of
  1867 pairs.  Defines preorders, partial orders, linear orders and
  1868 well-orders on sets and on types.
  1869 
  1870 
  1871 *** ZF ***
  1872 
  1873 * Renamed some theories to allow to loading both ZF and HOL in the
  1874 same session:
  1875 
  1876   Datatype  -> Datatype_ZF
  1877   Inductive -> Inductive_ZF
  1878   Int       -> Int_ZF
  1879   IntDiv    -> IntDiv_ZF
  1880   Nat       -> Nat_ZF
  1881   List      -> List_ZF
  1882   Main      -> Main_ZF
  1883 
  1884 INCOMPATIBILITY: ZF theories that import individual theories below
  1885 Main might need to be adapted.  Regular theory Main is still
  1886 available, as trivial extension of Main_ZF.
  1887 
  1888 
  1889 *** ML ***
  1890 
  1891 * ML within Isar: antiquotation @{const name} or @{const
  1892 name(typargs)} produces statically-checked Const term.
  1893 
  1894 * Functor NamedThmsFun: data is available to the user as dynamic fact
  1895 (of the same name).  Removed obsolete print command.
  1896 
  1897 * Removed obsolete "use_legacy_bindings" function.
  1898 
  1899 * The ``print mode'' is now a thread-local value derived from a global
  1900 template (the former print_mode reference), thus access becomes
  1901 non-critical.  The global print_mode reference is for session
  1902 management only; user-code should use print_mode_value,
  1903 print_mode_active, PrintMode.setmp etc.  INCOMPATIBILITY.
  1904 
  1905 * Functions system/system_out provide a robust way to invoke external
  1906 shell commands, with propagation of interrupts (requires Poly/ML
  1907 5.2.1).  Do not use OS.Process.system etc. from the basis library!
  1908 
  1909 
  1910 *** System ***
  1911 
  1912 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
  1913 in accordance with Proof General 3.7, which prefers GNU emacs.
  1914 
  1915 * isatool tty runs Isabelle process with plain tty interaction;
  1916 optional line editor may be specified via ISABELLE_LINE_EDITOR
  1917 setting, the default settings attempt to locate "ledit" and "rlwrap".
  1918 
  1919 * isatool browser now works with Cygwin as well, using general
  1920 "javapath" function defined in Isabelle process environment.
  1921 
  1922 * YXML notation provides a simple and efficient alternative to
  1923 standard XML transfer syntax.  See src/Pure/General/yxml.ML and
  1924 isatool yxml as described in the Isabelle system manual.
  1925 
  1926 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
  1927 provides general wrapper for managing an Isabelle process in a robust
  1928 fashion, with ``cooked'' output from stdin/stderr.
  1929 
  1930 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
  1931 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
  1932 
  1933 * Removed obsolete THIS_IS_ISABELLE_BUILD feature.  NB: the documented
  1934 way of changing the user's settings is via
  1935 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
  1936 script.
  1937 
  1938 * Multithreading.max_threads := 0 refers to the number of actual CPU
  1939 cores of the underlying machine, which is a good starting point for
  1940 optimal performance tuning.  The corresponding usedir option -M allows
  1941 "max" as an alias for "0".  WARNING: does not work on certain versions
  1942 of Mac OS (with Poly/ML 5.1).
  1943 
  1944 * isabelle-process: non-ML sessions are run with "nice", to reduce the
  1945 adverse effect of Isabelle flooding interactive front-ends (notably
  1946 ProofGeneral / XEmacs).
  1947 
  1948 
  1949 
  1950 New in Isabelle2007 (November 2007)
  1951 -----------------------------------
  1952 
  1953 *** General ***
  1954 
  1955 * More uniform information about legacy features, notably a
  1956 warning/error of "Legacy feature: ...", depending on the state of the
  1957 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
  1958 legacy features will disappear eventually.
  1959 
  1960 * Theory syntax: the header format ``theory A = B + C:'' has been
  1961 discontinued in favour of ``theory A imports B C begin''.  Use isatool
  1962 fixheaders to convert existing theory files.  INCOMPATIBILITY.
  1963 
  1964 * Theory syntax: the old non-Isar theory file format has been
  1965 discontinued altogether.  Note that ML proof scripts may still be used
  1966 with Isar theories; migration is usually quite simple with the ML
  1967 function use_legacy_bindings.  INCOMPATIBILITY.
  1968 
  1969 * Theory syntax: some popular names (e.g. 'class', 'declaration',
  1970 'fun', 'help', 'if') are now keywords.  INCOMPATIBILITY, use double
  1971 quotes.
  1972 
  1973 * Theory loader: be more serious about observing the static theory
  1974 header specifications (including optional directories), but not the
  1975 accidental file locations of previously successful loads.  The strict
  1976 update policy of former update_thy is now already performed by
  1977 use_thy, so the former has been removed; use_thys updates several
  1978 theories simultaneously, just as 'imports' within a theory header
  1979 specification, but without merging the results.  Potential
  1980 INCOMPATIBILITY: may need to refine theory headers and commands
  1981 ROOT.ML which depend on load order.
  1982 
  1983 * Theory loader: optional support for content-based file
  1984 identification, instead of the traditional scheme of full physical
  1985 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
  1986 (cf. the system manual).  The new scheme allows to work with
  1987 non-finished theories in persistent session images, such that source
  1988 files may be moved later on without requiring reloads.
  1989 
  1990 * Theory loader: old-style ML proof scripts being *attached* to a thy
  1991 file (with the same base name as the theory) are considered a legacy
  1992 feature, which will disappear eventually. Even now, the theory loader
  1993 no longer maintains dependencies on such files.
  1994 
  1995 * Syntax: the scope for resolving ambiguities via type-inference is
  1996 now limited to individual terms, instead of whole simultaneous
  1997 specifications as before. This greatly reduces the complexity of the
  1998 syntax module and improves flexibility by separating parsing and
  1999 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
  2000 'fixes' etc.) are required in rare situations.
  2001 
  2002 * Syntax: constants introduced by new-style packages ('definition',
  2003 'abbreviation' etc.) are passed through the syntax module in
  2004 ``authentic mode''. This means that associated mixfix annotations
  2005 really stick to such constants, independently of potential name space
  2006 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
  2007 trees are represented slightly differently, may need to adapt syntax
  2008 translations accordingly. Use CONST marker in 'translations' and
  2009 @{const_syntax} antiquotation in 'parse_translation' etc.
  2010 
  2011 * Legacy goal package: reduced interface to the bare minimum required
  2012 to keep existing proof scripts running.  Most other user-level
  2013 functions are now part of the OldGoals structure, which is *not* open
  2014 by default (consider isatool expandshort before open OldGoals).
  2015 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
  2016 these tend to cause confusion about the actual goal (!) context being
  2017 used here, which is not necessarily the same as the_context().
  2018 
  2019 * Command 'find_theorems': supports "*" wild-card in "name:"
  2020 criterion; "with_dups" option.  Certain ProofGeneral versions might
  2021 support a specific search form (see ProofGeneral/CHANGES).
  2022 
  2023 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
  2024 by default, which means that "prems" (and also "fixed variables") are
  2025 suppressed from proof state output.  Note that the ProofGeneral
  2026 settings mechanism allows to change and save options persistently, but
  2027 older versions of Isabelle will fail to start up if a negative prems
  2028 limit is imposed.
  2029 
  2030 * Local theory targets may be specified by non-nested blocks of
  2031 ``context/locale/class ... begin'' followed by ``end''.  The body may
  2032 contain definitions, theorems etc., including any derived mechanism
  2033 that has been implemented on top of these primitives.  This concept
  2034 generalizes the existing ``theorem (in ...)'' towards more versatility
  2035 and scalability.
  2036 
  2037 * Proof General interface: proper undo of final 'end' command;
  2038 discontinued Isabelle/classic mode (ML proof scripts).
  2039 
  2040 
  2041 *** Document preparation ***
  2042 
  2043 * Added antiquotation @{theory name} which prints the given name,
  2044 after checking that it refers to a valid ancestor theory in the
  2045 current context.
  2046 
  2047 * Added antiquotations @{ML_type text} and @{ML_struct text} which
  2048 check the given source text as ML type/structure, printing verbatim.
  2049 
  2050 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
  2051 "c args == rhs" given in the current context.  (Any number of
  2052 arguments may be given on the LHS.)
  2053 
  2054 
  2055 *** Pure ***
  2056 
  2057 * The 'class' package offers a combination of axclass and locale to
  2058 achieve Haskell-like type classes in Isabelle.  Definitions and
  2059 theorems within a class context produce both relative results (with
  2060 implicit parameters according to the locale context), and polymorphic
  2061 constants with qualified polymorphism (according to the class
  2062 context).  Within the body context of a 'class' target, a separate
  2063 syntax layer ("user space type system") takes care of converting
  2064 between global polymorphic consts and internal locale representation.
  2065 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
  2066 "isatool doc classes" provides a tutorial.
  2067 
  2068 * Generic code generator framework allows to generate executable
  2069 code for ML and Haskell (including Isabelle classes).  A short usage
  2070 sketch:
  2071 
  2072     internal compilation:
  2073         export_code <list of constants (term syntax)> in SML
  2074     writing SML code to a file:
  2075         export_code <list of constants (term syntax)> in SML <filename>
  2076     writing OCaml code to a file:
  2077         export_code <list of constants (term syntax)> in OCaml <filename>
  2078     writing Haskell code to a bunch of files:
  2079         export_code <list of constants (term syntax)> in Haskell <filename>
  2080 
  2081     evaluating closed propositions to True/False using code generation:
  2082         method ``eval''
  2083 
  2084 Reasonable default setup of framework in HOL.
  2085 
  2086 Theorem attributs for selecting and transforming function equations theorems:
  2087 
  2088     [code fun]:        select a theorem as function equation for a specific constant
  2089     [code fun del]:    deselect a theorem as function equation for a specific constant
  2090     [code inline]:     select an equation theorem for unfolding (inlining) in place
  2091     [code inline del]: deselect an equation theorem for unfolding (inlining) in place
  2092 
  2093 User-defined serializations (target in {SML, OCaml, Haskell}):
  2094 
  2095     code_const <and-list of constants (term syntax)>
  2096       {(target) <and-list of const target syntax>}+
  2097 
  2098     code_type <and-list of type constructors>
  2099       {(target) <and-list of type target syntax>}+
  2100 
  2101     code_instance <and-list of instances>
  2102       {(target)}+
  2103         where instance ::= <type constructor> :: <class>
  2104 
  2105     code_class <and_list of classes>
  2106       {(target) <and-list of class target syntax>}+
  2107         where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
  2108 
  2109 code_instance and code_class only are effective to target Haskell.
  2110 
  2111 For example usage see src/HOL/ex/Codegenerator.thy and
  2112 src/HOL/ex/Codegenerator_Pretty.thy.  A separate tutorial on code
  2113 generation from Isabelle/HOL theories is available via "isatool doc
  2114 codegen".
  2115 
  2116 * Code generator: consts in 'consts_code' Isar commands are now
  2117 referred to by usual term syntax (including optional type
  2118 annotations).
  2119 
  2120 * Command 'no_translations' removes translation rules from theory
  2121 syntax.
  2122 
  2123 * Overloaded definitions are now actually checked for acyclic
  2124 dependencies.  The overloading scheme is slightly more general than
  2125 that of Haskell98, although Isabelle does not demand an exact
  2126 correspondence to type class and instance declarations.
  2127 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
  2128 exotic versions of overloading -- at the discretion of the user!
  2129 
  2130 Polymorphic constants are represented via type arguments, i.e. the
  2131 instantiation that matches an instance against the most general
  2132 declaration given in the signature.  For example, with the declaration
  2133 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
  2134 as c(nat).  Overloading is essentially simultaneous structural
  2135 recursion over such type arguments.  Incomplete specification patterns
  2136 impose global constraints on all occurrences, e.g. c('a * 'a) on the
  2137 LHS means that more general c('a * 'b) will be disallowed on any RHS.
  2138 Command 'print_theory' outputs the normalized system of recursive
  2139 equations, see section "definitions".
  2140 
  2141 * Configuration options are maintained within the theory or proof
  2142 context (with name and type bool/int/string), providing a very simple
  2143 interface to a poor-man's version of general context data.  Tools may
  2144 declare options in ML (e.g. using Attrib.config_int) and then refer to
  2145 these values using Config.get etc.  Users may change options via an
  2146 associated attribute of the same name.  This form of context
  2147 declaration works particularly well with commands 'declare' or
  2148 'using', for example ``declare [[foo = 42]]''.  Thus it has become
  2149 very easy to avoid global references, which would not observe Isar
  2150 toplevel undo/redo and fail to work with multithreading.
  2151 
  2152 Various global ML references of Pure and HOL have been turned into
  2153 configuration options:
  2154 
  2155   Unify.search_bound		unify_search_bound
  2156   Unify.trace_bound		unify_trace_bound
  2157   Unify.trace_simp		unify_trace_simp
  2158   Unify.trace_types		unify_trace_types
  2159   Simplifier.simp_depth_limit	simp_depth_limit
  2160   Blast.depth_limit		blast_depth_limit
  2161   DatatypeProp.dtK		datatype_distinctness_limit
  2162   fast_arith_neq_limit  	fast_arith_neq_limit
  2163   fast_arith_split_limit	fast_arith_split_limit
  2164 
  2165 * Named collections of theorems may be easily installed as context
  2166 data using the functor NamedThmsFun (see also
  2167 src/Pure/Tools/named_thms.ML).  The user may add or delete facts via
  2168 attributes; there is also a toplevel print command.  This facility is
  2169 just a common case of general context data, which is the preferred way
  2170 for anything more complex than just a list of facts in canonical
  2171 order.
  2172 
  2173 * Isar: command 'declaration' augments a local theory by generic
  2174 declaration functions written in ML.  This enables arbitrary content
  2175 being added to the context, depending on a morphism that tells the
  2176 difference of the original declaration context wrt. the application
  2177 context encountered later on.
  2178 
  2179 * Isar: proper interfaces for simplification procedures.  Command
  2180 'simproc_setup' declares named simprocs (with match patterns, and body
  2181 text in ML).  Attribute "simproc" adds/deletes simprocs in the current
  2182 context.  ML antiquotation @{simproc name} retrieves named simprocs.
  2183 
  2184 * Isar: an extra pair of brackets around attribute declarations
  2185 abbreviates a theorem reference involving an internal dummy fact,
  2186 which will be ignored later --- only the effect of the attribute on
  2187 the background context will persist.  This form of in-place
  2188 declarations is particularly useful with commands like 'declare' and
  2189 'using', for example ``have A using [[simproc a]] by simp''.
  2190 
  2191 * Isar: method "assumption" (and implicit closing of subproofs) now
  2192 takes simple non-atomic goal assumptions into account: after applying
  2193 an assumption as a rule the resulting subgoals are solved by atomic
  2194 assumption steps.  This is particularly useful to finish 'obtain'
  2195 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
  2196 without referring to the original premise "!!x. P x ==> thesis" in the
  2197 Isar proof context.  POTENTIAL INCOMPATIBILITY: method "assumption" is
  2198 more permissive.
  2199 
  2200 * Isar: implicit use of prems from the Isar proof context is
  2201 considered a legacy feature.  Common applications like ``have A .''
  2202 may be replaced by ``have A by fact'' or ``note `A`''.  In general,
  2203 referencing facts explicitly here improves readability and
  2204 maintainability of proof texts.
  2205 
  2206 * Isar: improper proof element 'guess' is like 'obtain', but derives
  2207 the obtained context from the course of reasoning!  For example:
  2208 
  2209   assume "EX x y. A x & B y"   -- "any previous fact"
  2210   then guess x and y by clarify
  2211 
  2212 This technique is potentially adventurous, depending on the facts and
  2213 proof tools being involved here.
  2214 
  2215 * Isar: known facts from the proof context may be specified as literal
  2216 propositions, using ASCII back-quote syntax.  This works wherever
  2217 named facts used to be allowed so far, in proof commands, proof
  2218 methods, attributes etc.  Literal facts are retrieved from the context
  2219 according to unification of type and term parameters.  For example,
  2220 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
  2221 theorems in the current context, then these are valid literal facts:
  2222 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
  2223 
  2224 There is also a proof method "fact" which does the same composition
  2225 for explicit goal states, e.g. the following proof texts coincide with
  2226 certain special cases of literal facts:
  2227 
  2228   have "A" by fact                 ==  note `A`
  2229   have "A ==> B" by fact           ==  note `A ==> B`
  2230   have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`
  2231   have "P a ==> Q a" by fact       ==  note `P a ==> Q a`
  2232 
  2233 * Isar: ":" (colon) is no longer a symbolic identifier character in
  2234 outer syntax.  Thus symbolic identifiers may be used without
  2235 additional white space in declarations like this: ``assume *: A''.
  2236 
  2237 * Isar: 'print_facts' prints all local facts of the current context,
  2238 both named and unnamed ones.
  2239 
  2240 * Isar: 'def' now admits simultaneous definitions, e.g.:
  2241 
  2242   def x == "t" and y == "u"
  2243 
  2244 * Isar: added command 'unfolding', which is structurally similar to
  2245 'using', but affects both the goal state and facts by unfolding given
  2246 rewrite rules.  Thus many occurrences of the 'unfold' method or
  2247 'unfolded' attribute may be replaced by first-class proof text.
  2248 
  2249 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
  2250 and command 'unfolding' now all support object-level equalities
  2251 (potentially conditional).  The underlying notion of rewrite rule is
  2252 analogous to the 'rule_format' attribute, but *not* that of the
  2253 Simplifier (which is usually more generous).
  2254 
  2255 * Isar: the new attribute [rotated n] (default n = 1) rotates the
  2256 premises of a theorem by n. Useful in conjunction with drule.
  2257 
  2258 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
  2259 method expression within a sandbox consisting of the first N
  2260 sub-goals, which need to exist.  For example, ``simp_all [3]''
  2261 simplifies the first three sub-goals, while (rule foo, simp_all)[]
  2262 simplifies all new goals that emerge from applying rule foo to the
  2263 originally first one.
  2264 
  2265 * Isar: schematic goals are no longer restricted to higher-order
  2266 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
  2267 expected.
  2268 
  2269 * Isar: the conclusion of a long theorem statement is now either
  2270 'shows' (a simultaneous conjunction, as before), or 'obtains'
  2271 (essentially a disjunction of cases with local parameters and
  2272 assumptions).  The latter allows to express general elimination rules
  2273 adequately; in this notation common elimination rules look like this:
  2274 
  2275   lemma exE:    -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
  2276     assumes "EX x. P x"
  2277     obtains x where "P x"
  2278 
  2279   lemma conjE:  -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
  2280     assumes "A & B"
  2281     obtains A and B
  2282 
  2283   lemma disjE:  -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
  2284     assumes "A | B"
  2285     obtains
  2286       A
  2287     | B
  2288 
  2289 The subsequent classical rules even refer to the formal "thesis"
  2290 explicitly:
  2291 
  2292   lemma classical:     -- "(~ thesis ==> thesis) ==> thesis"
  2293     obtains "~ thesis"
  2294 
  2295   lemma Peirce's_Law:  -- "((thesis ==> something) ==> thesis) ==> thesis"
  2296     obtains "thesis ==> something"
  2297 
  2298 The actual proof of an 'obtains' statement is analogous to that of the
  2299 Isar proof element 'obtain', only that there may be several cases.
  2300 Optional case names may be specified in parentheses; these will be
  2301 available both in the present proof and as annotations in the
  2302 resulting rule, for later use with the 'cases' method (cf. attribute
  2303 case_names).
  2304 
  2305 * Isar: the assumptions of a long theorem statement are available as
  2306 "assms" fact in the proof context.  This is more appropriate than the
  2307 (historical) "prems", which refers to all assumptions of the current
  2308 context, including those from the target locale, proof body etc.
  2309 
  2310 * Isar: 'print_statement' prints theorems from the current theory or
  2311 proof context in long statement form, according to the syntax of a
  2312 top-level lemma.
  2313 
  2314 * Isar: 'obtain' takes an optional case name for the local context
  2315 introduction rule (default "that").
  2316 
  2317 * Isar: removed obsolete 'concl is' patterns.  INCOMPATIBILITY, use
  2318 explicit (is "_ ==> ?foo") in the rare cases where this still happens
  2319 to occur.
  2320 
  2321 * Pure: syntax "CONST name" produces a fully internalized constant
  2322 according to the current context.  This is particularly useful for
  2323 syntax translations that should refer to internal constant
  2324 representations independently of name spaces.
  2325 
  2326 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
  2327 instead of "FOO ". This allows multiple binder declarations to coexist
  2328 in the same context.  INCOMPATIBILITY.
  2329 
  2330 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
  2331 primitive that also works in a locale context (both for constants and
  2332 fixed variables). Type declaration and internal syntactic representation
  2333 of given constants retrieved from the context. Likewise, the
  2334 'no_notation' command allows to remove given syntax annotations from the
  2335 current context.
  2336 
  2337 * Isar/locales: new derived specification elements 'axiomatization',
  2338 'definition', 'abbreviation', which support type-inference, admit
  2339 object-level specifications (equality, equivalence).  See also the
  2340 isar-ref manual.  Examples:
  2341 
  2342   axiomatization
  2343     eq  (infix "===" 50) where
  2344     eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
  2345 
  2346   definition "f x y = x + y + 1"
  2347   definition g where "g x = f x x"
  2348 
  2349   abbreviation
  2350     neq  (infix "=!=" 50) where
  2351     "x =!= y == ~ (x === y)"
  2352 
  2353 These specifications may be also used in a locale context.  Then the
  2354 constants being introduced depend on certain fixed parameters, and the
  2355 constant name is qualified by the locale base name.  An internal
  2356 abbreviation takes care for convenient input and output, making the
  2357 parameters implicit and using the original short name.  See also
  2358 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
  2359 entities from a monomorphic theory.
  2360 
  2361 Presently, abbreviations are only available 'in' a target locale, but
  2362 not inherited by general import expressions.  Also note that
  2363 'abbreviation' may be used as a type-safe replacement for 'syntax' +
  2364 'translations' in common applications.  The "no_abbrevs" print mode
  2365 prevents folding of abbreviations in term output.
  2366 
  2367 Concrete syntax is attached to specified constants in internal form,
  2368 independently of name spaces.  The parse tree representation is
  2369 slightly different -- use 'notation' instead of raw 'syntax', and
  2370 'translations' with explicit "CONST" markup to accommodate this.
  2371 
  2372 * Pure/Isar: unified syntax for new-style specification mechanisms
  2373 (e.g.  'definition', 'abbreviation', or 'inductive' in HOL) admits
  2374 full type inference and dummy patterns ("_").  For example:
  2375 
  2376   definition "K x _ = x"
  2377 
  2378   inductive conj for A B
  2379   where "A ==> B ==> conj A B"
  2380 
  2381 * Pure: command 'print_abbrevs' prints all constant abbreviations of
  2382 the current context.  Print mode "no_abbrevs" prevents inversion of
  2383 abbreviations on output.
  2384 
  2385 * Isar/locales: improved parameter handling: use of locales "var" and
  2386 "struct" no longer necessary; - parameter renamings are no longer
  2387 required to be injective.  For example, this allows to define
  2388 endomorphisms as locale endom = homom mult mult h.
  2389 
  2390 * Isar/locales: changed the way locales with predicates are defined.
  2391 Instead of accumulating the specification, the imported expression is
  2392 now an interpretation.  INCOMPATIBILITY: different normal form of
  2393 locale expressions.  In particular, in interpretations of locales with
  2394 predicates, goals repesenting already interpreted fragments are not
  2395 removed automatically.  Use methods `intro_locales' and
  2396 `unfold_locales'; see below.
  2397 
  2398 * Isar/locales: new methods `intro_locales' and `unfold_locales'
  2399 provide backward reasoning on locales predicates.  The methods are
  2400 aware of interpretations and discharge corresponding goals.
  2401 `intro_locales' is less aggressive then `unfold_locales' and does not
  2402 unfold predicates to assumptions.
  2403 
  2404 * Isar/locales: the order in which locale fragments are accumulated
  2405 has changed.  This enables to override declarations from fragments due
  2406 to interpretations -- for example, unwanted simp rules.
  2407 
  2408 * Isar/locales: interpretation in theories and proof contexts has been
  2409 extended.  One may now specify (and prove) equations, which are
  2410 unfolded in interpreted theorems.  This is useful for replacing
  2411 defined concepts (constants depending on locale parameters) by
  2412 concepts already existing in the target context.  Example:
  2413 
  2414   interpretation partial_order ["op <= :: [int, int] => bool"]
  2415     where "partial_order.less (op <=) (x::int) y = (x < y)"
  2416 
  2417 Typically, the constant `partial_order.less' is created by a
  2418 definition specification element in the context of locale
  2419 partial_order.
  2420 
  2421 * Method "induct": improved internal context management to support
  2422 local fixes and defines on-the-fly. Thus explicit meta-level
  2423 connectives !!  and ==> are rarely required anymore in inductive goals
  2424 (using object-logic connectives for this purpose has been long
  2425 obsolete anyway). Common proof patterns are explained in
  2426 src/HOL/Induct/Common_Patterns.thy, see also
  2427 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
  2428 examples.
  2429 
  2430 * Method "induct": improved handling of simultaneous goals. Instead of
  2431 introducing object-level conjunction, the statement is now split into
  2432 several conclusions, while the corresponding symbolic cases are nested
  2433 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
  2434 see src/HOL/Induct/Common_Patterns.thy, for example.
  2435 
  2436 * Method "induct": mutual induction rules are now specified as a list
  2437 of rule sharing the same induction cases. HOL packages usually provide
  2438 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
  2439 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
  2440 mutual induction rules differently, i.e. like this:
  2441 
  2442   (induct rule: foo_bar.inducts)
  2443   (induct set: foo bar)
  2444   (induct pred: foo bar)
  2445   (induct type: foo bar)
  2446 
  2447 The ML function ProjectRule.projections turns old-style rules into the
  2448 new format.
  2449 
  2450 * Method "coinduct": dual of induction, see
  2451 src/HOL/Library/Coinductive_List.thy for various examples.
  2452 
  2453 * Method "cases", "induct", "coinduct": the ``(open)'' option is
  2454 considered a legacy feature.
  2455 
  2456 * Attribute "symmetric" produces result with standardized schematic
  2457 variables (index 0).  Potential INCOMPATIBILITY.
  2458 
  2459 * Simplifier: by default the simplifier trace only shows top level
  2460 rewrites now. That is, trace_simp_depth_limit is set to 1 by
  2461 default. Thus there is less danger of being flooded by the trace. The
  2462 trace indicates where parts have been suppressed.
  2463   
  2464 * Provers/classical: removed obsolete classical version of elim_format
  2465 attribute; classical elim/dest rules are now treated uniformly when
  2466 manipulating the claset.
  2467 
  2468 * Provers/classical: stricter checks to ensure that supplied intro,
  2469 dest and elim rules are well-formed; dest and elim rules must have at
  2470 least one premise.
  2471 
  2472 * Provers/classical: attributes dest/elim/intro take an optional
  2473 weight argument for the rule (just as the Pure versions).  Weights are
  2474 ignored by automated tools, but determine the search order of single
  2475 rule steps.
  2476 
  2477 * Syntax: input syntax now supports dummy variable binding "%_. b",
  2478 where the body does not mention the bound variable.  Note that dummy
  2479 patterns implicitly depend on their context of bounds, which makes
  2480 "{_. _}" match any set comprehension as expected.  Potential
  2481 INCOMPATIBILITY -- parse translations need to cope with syntactic
  2482 constant "_idtdummy" in the binding position.
  2483 
  2484 * Syntax: removed obsolete syntactic constant "_K" and its associated
  2485 parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,
  2486 for example "A -> B" => "Pi A (%_. B)".
  2487 
  2488 * Pure: 'class_deps' command visualizes the subclass relation, using
  2489 the graph browser tool.
  2490 
  2491 * Pure: 'print_theory' now suppresses certain internal declarations by
  2492 default; use '!' option for full details.
  2493 
  2494 
  2495 *** HOL ***
  2496 
  2497 * Method "metis" proves goals by applying the Metis general-purpose
  2498 resolution prover (see also http://gilith.com/software/metis/).
  2499 Examples are in the directory MetisExamples.  WARNING: the
  2500 Isabelle/HOL-Metis integration does not yet work properly with
  2501 multi-threading.
  2502   
  2503 * Command 'sledgehammer' invokes external automatic theorem provers as
  2504 background processes.  It generates calls to the "metis" method if
  2505 successful. These can be pasted into the proof.  Users do not have to
  2506 wait for the automatic provers to return.  WARNING: does not really
  2507 work with multi-threading.
  2508 
  2509 * New "auto_quickcheck" feature tests outermost goal statements for
  2510 potential counter-examples.  Controlled by ML references
  2511 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
  2512 5000 milliseconds).  Fails silently if statements is outside of
  2513 executable fragment, or any other codgenerator problem occurs.
  2514 
  2515 * New constant "undefined" with axiom "undefined x = undefined".
  2516 
  2517 * Added class "HOL.eq", allowing for code generation with polymorphic
  2518 equality.
  2519 
  2520 * Some renaming of class constants due to canonical name prefixing in
  2521 the new 'class' package:
  2522 
  2523     HOL.abs ~> HOL.abs_class.abs
  2524     HOL.divide ~> HOL.divide_class.divide
  2525     0 ~> HOL.zero_class.zero
  2526     1 ~> HOL.one_class.one
  2527     op + ~> HOL.plus_class.plus
  2528     op - ~> HOL.minus_class.minus
  2529     uminus ~> HOL.minus_class.uminus
  2530     op * ~> HOL.times_class.times
  2531     op < ~> HOL.ord_class.less
  2532     op <= > HOL.ord_class.less_eq
  2533     Nat.power ~> Power.power_class.power
  2534     Nat.size ~> Nat.size_class.size
  2535     Numeral.number_of ~> Numeral.number_class.number_of
  2536     FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
  2537     FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
  2538     Orderings.min ~> Orderings.ord_class.min
  2539     Orderings.max ~> Orderings.ord_class.max
  2540     Divides.op div ~> Divides.div_class.div
  2541     Divides.op mod ~> Divides.div_class.mod
  2542     Divides.op dvd ~> Divides.div_class.dvd
  2543 
  2544 INCOMPATIBILITY.  Adaptions may be required in the following cases:
  2545 
  2546 a) User-defined constants using any of the names "plus", "minus",
  2547 "times", "less" or "less_eq". The standard syntax translations for
  2548 "+", "-" and "*" may go wrong.  INCOMPATIBILITY: use more specific
  2549 names.
  2550 
  2551 b) Variables named "plus", "minus", "times", "less", "less_eq"
  2552 INCOMPATIBILITY: use more specific names.
  2553 
  2554 c) Permutative equations (e.g. "a + b = b + a")
  2555 Since the change of names also changes the order of terms, permutative
  2556 rewrite rules may get applied in a different order. Experience shows
  2557 that this is rarely the case (only two adaptions in the whole Isabelle
  2558 distribution).  INCOMPATIBILITY: rewrite proofs
  2559 
  2560 d) ML code directly refering to constant names
  2561 This in general only affects hand-written proof tactics, simprocs and
  2562 so on.  INCOMPATIBILITY: grep your sourcecode and replace names.
  2563 Consider using @{const_name} antiquotation.
  2564 
  2565 * New class "default" with associated constant "default".
  2566 
  2567 * Function "sgn" is now overloaded and available on int, real, complex
  2568 (and other numeric types), using class "sgn".  Two possible defs of
  2569 sgn are given as equational assumptions in the classes sgn_if and
  2570 sgn_div_norm; ordered_idom now also inherits from sgn_if.
  2571 INCOMPATIBILITY.
  2572 
  2573 * Locale "partial_order" now unified with class "order" (cf. theory
  2574 Orderings), added parameter "less".  INCOMPATIBILITY.
  2575 
  2576 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
  2577 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
  2578 clashes with HOL "refl" and "trans".  INCOMPATIBILITY.
  2579 
  2580 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
  2581 changed order of proof goals in instance proofs.
  2582 
  2583 * The transitivity reasoner for partial and linear orders is set up
  2584 for classes "order" and "linorder".  Instances of the reasoner are available
  2585 in all contexts importing or interpreting the corresponding locales.
  2586 Method "order" invokes the reasoner separately; the reasoner
  2587 is also integrated with the Simplifier as a solver.  Diagnostic
  2588 command 'print_orders' shows the available instances of the reasoner
  2589 in the current context.
  2590 
  2591 * Localized monotonicity predicate in theory "Orderings"; integrated
  2592 lemmas max_of_mono and min_of_mono with this predicate.
  2593 INCOMPATIBILITY.
  2594 
  2595 * Formulation of theorem "dense" changed slightly due to integration
  2596 with new class dense_linear_order.
  2597 
  2598 * Uniform lattice theory development in HOL.
  2599 
  2600     constants "meet" and "join" now named "inf" and "sup"
  2601     constant "Meet" now named "Inf"
  2602 
  2603     classes "meet_semilorder" and "join_semilorder" now named
  2604       "lower_semilattice" and "upper_semilattice"
  2605     class "lorder" now named "lattice"
  2606     class "comp_lat" now named "complete_lattice"
  2607 
  2608     Instantiation of lattice classes allows explicit definitions
  2609     for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
  2610 
  2611   INCOMPATIBILITY.  Theorem renames:
  2612 
  2613     meet_left_le            ~> inf_le1
  2614     meet_right_le           ~> inf_le2
  2615     join_left_le            ~> sup_ge1
  2616     join_right_le           ~> sup_ge2
  2617     meet_join_le            ~> inf_sup_ord
  2618     le_meetI                ~> le_infI
  2619     join_leI                ~> le_supI
  2620     le_meet                 ~> le_inf_iff
  2621     le_join                 ~> ge_sup_conv
  2622     meet_idempotent         ~> inf_idem
  2623     join_idempotent         ~> sup_idem
  2624     meet_comm               ~> inf_commute
  2625     join_comm               ~> sup_commute
  2626     meet_leI1               ~> le_infI1
  2627     meet_leI2               ~> le_infI2
  2628     le_joinI1               ~> le_supI1
  2629     le_joinI2               ~> le_supI2
  2630     meet_assoc              ~> inf_assoc
  2631     join_assoc              ~> sup_assoc
  2632     meet_left_comm          ~> inf_left_commute
  2633     meet_left_idempotent    ~> inf_left_idem
  2634     join_left_comm          ~> sup_left_commute
  2635     join_left_idempotent    ~> sup_left_idem
  2636     meet_aci                ~> inf_aci
  2637     join_aci                ~> sup_aci
  2638     le_def_meet             ~> le_iff_inf
  2639     le_def_join             ~> le_iff_sup
  2640     join_absorp2            ~> sup_absorb2
  2641     join_absorp1            ~> sup_absorb1
  2642     meet_absorp1            ~> inf_absorb1
  2643     meet_absorp2            ~> inf_absorb2
  2644     meet_join_absorp        ~> inf_sup_absorb
  2645     join_meet_absorp        ~> sup_inf_absorb
  2646     distrib_join_le         ~> distrib_sup_le
  2647     distrib_meet_le         ~> distrib_inf_le
  2648 
  2649     add_meet_distrib_left   ~> add_inf_distrib_left
  2650     add_join_distrib_left   ~> add_sup_distrib_left
  2651     is_join_neg_meet        ~> is_join_neg_inf
  2652     is_meet_neg_join        ~> is_meet_neg_sup
  2653     add_meet_distrib_right  ~> add_inf_distrib_right
  2654     add_join_distrib_right  ~> add_sup_distrib_right
  2655     add_meet_join_distribs  ~> add_sup_inf_distribs
  2656     join_eq_neg_meet        ~> sup_eq_neg_inf
  2657     meet_eq_neg_join        ~> inf_eq_neg_sup
  2658     add_eq_meet_join        ~> add_eq_inf_sup
  2659     meet_0_imp_0            ~> inf_0_imp_0
  2660     join_0_imp_0            ~> sup_0_imp_0
  2661     meet_0_eq_0             ~> inf_0_eq_0
  2662     join_0_eq_0             ~> sup_0_eq_0
  2663     neg_meet_eq_join        ~> neg_inf_eq_sup
  2664     neg_join_eq_meet        ~> neg_sup_eq_inf
  2665     join_eq_if              ~> sup_eq_if
  2666 
  2667     mono_meet               ~> mono_inf
  2668     mono_join               ~> mono_sup
  2669     meet_bool_eq            ~> inf_bool_eq
  2670     join_bool_eq            ~> sup_bool_eq
  2671     meet_fun_eq             ~> inf_fun_eq
  2672     join_fun_eq             ~> sup_fun_eq
  2673     meet_set_eq             ~> inf_set_eq
  2674     join_set_eq             ~> sup_set_eq
  2675     meet1_iff               ~> inf1_iff
  2676     meet2_iff               ~> inf2_iff
  2677     meet1I                  ~> inf1I
  2678     meet2I                  ~> inf2I
  2679     meet1D1                 ~> inf1D1
  2680     meet2D1                 ~> inf2D1
  2681     meet1D2                 ~> inf1D2
  2682     meet2D2                 ~> inf2D2
  2683     meet1E                  ~> inf1E
  2684     meet2E                  ~> inf2E
  2685     join1_iff               ~> sup1_iff
  2686     join2_iff               ~> sup2_iff
  2687     join1I1                 ~> sup1I1
  2688     join2I1                 ~> sup2I1
  2689     join1I1                 ~> sup1I1
  2690     join2I2                 ~> sup1I2
  2691     join1CI                 ~> sup1CI
  2692     join2CI                 ~> sup2CI
  2693     join1E                  ~> sup1E
  2694     join2E                  ~> sup2E
  2695 
  2696     is_meet_Meet            ~> is_meet_Inf
  2697     Meet_bool_def           ~> Inf_bool_def
  2698     Meet_fun_def            ~> Inf_fun_def
  2699     Meet_greatest           ~> Inf_greatest
  2700     Meet_lower              ~> Inf_lower
  2701     Meet_set_def            ~> Inf_set_def
  2702 
  2703     Sup_def                 ~> Sup_Inf
  2704     Sup_bool_eq             ~> Sup_bool_def
  2705     Sup_fun_eq              ~> Sup_fun_def
  2706     Sup_set_eq              ~> Sup_set_def
  2707 
  2708     listsp_meetI            ~> listsp_infI
  2709     listsp_meet_eq          ~> listsp_inf_eq
  2710 
  2711     meet_min                ~> inf_min
  2712     join_max                ~> sup_max
  2713 
  2714 * Added syntactic class "size"; overloaded constant "size" now has
  2715 type "'a::size ==> bool"
  2716 
  2717 * Internal reorganisation of `size' of datatypes: size theorems
  2718 "foo.size" are no longer subsumed by "foo.simps" (but are still
  2719 simplification rules by default!); theorems "prod.size" now named
  2720 "*.size".
  2721 
  2722 * Class "div" now inherits from class "times" rather than "type".
  2723 INCOMPATIBILITY.
  2724 
  2725 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
  2726 Linorder etc.  have disappeared; operations defined in terms of
  2727 fold_set now are named Inf_fin, Sup_fin.  INCOMPATIBILITY.
  2728 
  2729 * HOL/Nat: neq0_conv no longer declared as iff.  INCOMPATIBILITY.
  2730 
  2731 * HOL-Word: New extensive library and type for generic, fixed size
  2732 machine words, with arithemtic, bit-wise, shifting and rotating
  2733 operations, reflection into int, nat, and bool lists, automation for
  2734 linear arithmetic (by automatic reflection into nat or int), including
  2735 lemmas on overflow and monotonicity.  Instantiated to all appropriate
  2736 arithmetic type classes, supporting automatic simplification of
  2737 numerals on all operations.
  2738 
  2739 * Library/Boolean_Algebra: locales for abstract boolean algebras.
  2740 
  2741 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
  2742 
  2743 * Code generator library theories:
  2744   - Code_Integer represents HOL integers by big integer literals in target
  2745     languages.
  2746   - Code_Char represents HOL characters by character literals in target
  2747     languages.
  2748   - Code_Char_chr like Code_Char, but also offers treatment of character
  2749     codes; includes Code_Integer.
  2750   - Executable_Set allows to generate code for finite sets using lists.
  2751   - Executable_Rat implements rational numbers as triples (sign, enumerator,
  2752     denominator).
  2753   - Executable_Real implements a subset of real numbers, namly those
  2754     representable by rational numbers.
  2755   - Efficient_Nat implements natural numbers by integers, which in general will
  2756     result in higher efficency; pattern matching with 0/Suc is eliminated;
  2757     includes Code_Integer.
  2758   - Code_Index provides an additional datatype index which is mapped to
  2759     target-language built-in integers.
  2760   - Code_Message provides an additional datatype message_string which is isomorphic to
  2761     strings; messages are mapped to target-language strings.
  2762 
  2763 * New package for inductive predicates
  2764 
  2765   An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
  2766 
  2767     inductive
  2768       p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2769       for z_1 :: U_1 and ... and z_n :: U_m
  2770     where
  2771       rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2772     | ...
  2773 
  2774   with full support for type-inference, rather than
  2775 
  2776     consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2777 
  2778     abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2779     where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2780 
  2781     inductive "s z_1 ... z_m"
  2782     intros
  2783       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2784       ...
  2785 
  2786   For backward compatibility, there is a wrapper allowing inductive
  2787   sets to be defined with the new package via
  2788 
  2789     inductive_set
  2790       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2791       for z_1 :: U_1 and ... and z_n :: U_m
  2792     where
  2793       rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
  2794     | ...
  2795 
  2796   or
  2797 
  2798     inductive_set
  2799       s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
  2800       and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
  2801       for z_1 :: U_1 and ... and z_n :: U_m
  2802     where
  2803       "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
  2804     | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
  2805     | ...
  2806 
  2807   if the additional syntax "p ..." is required.
  2808 
  2809   Numerous examples can be found in the subdirectories src/HOL/Auth,
  2810   src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
  2811 
  2812   INCOMPATIBILITIES:
  2813 
  2814   - Since declaration and definition of inductive sets or predicates
  2815     is no longer separated, abbreviations involving the newly
  2816     introduced sets or predicates must be specified together with the
  2817     introduction rules after the 'where' keyword (see above), rather
  2818     than before the actual inductive definition.
  2819 
  2820   - The variables in induction and elimination rules are now
  2821     quantified in the order of their occurrence in the introduction
  2822     rules, rather than in alphabetical order. Since this may break
  2823     some proofs, these proofs either have to be repaired, e.g. by
  2824     reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
  2825     statements of the form
  2826 
  2827       case (rule_i a_i_1 ... a_i_{k_i})
  2828 
  2829     or the old order of quantification has to be restored by explicitly adding
  2830     meta-level quantifiers in the introduction rules, i.e.
  2831 
  2832       | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
  2833 
  2834   - The format of the elimination rules is now
  2835 
  2836       p z_1 ... z_m x_1 ... x_n ==>
  2837         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2838         ==> ... ==> P
  2839 
  2840     for predicates and
  2841 
  2842       (x_1, ..., x_n) : s z_1 ... z_m ==>
  2843         (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
  2844         ==> ... ==> P
  2845 
  2846     for sets rather than
  2847 
  2848       x : s z_1 ... z_m ==>
  2849         (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
  2850         ==> ... ==> P
  2851 
  2852     This may require terms in goals to be expanded to n-tuples
  2853     (e.g. using case_tac or simplification with the split_paired_all
  2854     rule) before the above elimination rule is applicable.
  2855 
  2856   - The elimination or case analysis rules for (mutually) inductive
  2857     sets or predicates are now called "p_1.cases" ... "p_k.cases". The
  2858     list of rules "p_1_..._p_k.elims" is no longer available.
  2859 
  2860 * New package "function"/"fun" for general recursive functions,
  2861 supporting mutual and nested recursion, definitions in local contexts,
  2862 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
  2863 for small examples, and the separate tutorial on the function
  2864 package. The old recdef "package" is still available as before, but
  2865 users are encouraged to use the new package.
  2866 
  2867 * Method "lexicographic_order" automatically synthesizes termination
  2868 relations as lexicographic combinations of size measures. 
  2869 
  2870 * Case-expressions allow arbitrary constructor-patterns (including
  2871 "_") and take their order into account, like in functional
  2872 programming.  Internally, this is translated into nested
  2873 case-expressions; missing cases are added and mapped to the predefined
  2874 constant "undefined". In complicated cases printing may no longer show
  2875 the original input but the internal form. Lambda-abstractions allow
  2876 the same form of pattern matching: "% pat1 => e1 | ..." is an
  2877 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
  2878 variable.
  2879 
  2880 * IntDef: The constant "int :: nat => int" has been removed; now "int"
  2881 is an abbreviation for "of_nat :: nat => int". The simplification
  2882 rules for "of_nat" have been changed to work like "int" did
  2883 previously.  Potential INCOMPATIBILITY:
  2884   - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
  2885   - of_nat_diff and of_nat_mult are no longer default simp rules
  2886 
  2887 * Method "algebra" solves polynomial equations over (semi)rings using
  2888 Groebner bases. The (semi)ring structure is defined by locales and the
  2889 tool setup depends on that generic context. Installing the method for
  2890 a specific type involves instantiating the locale and possibly adding
  2891 declarations for computation on the coefficients.  The method is
  2892 already instantiated for natural numbers and for the axiomatic class
  2893 of idoms with numerals.  See also the paper by Chaieb and Wenzel at
  2894 CALCULEMUS 2007 for the general principles underlying this
  2895 architecture of context-aware proof-tools.
  2896 
  2897 * Method "ferrack" implements quantifier elimination over
  2898 special-purpose dense linear orders using locales (analogous to
  2899 "algebra"). The method is already installed for class
  2900 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
  2901 rat, etc.
  2902 
  2903 * Former constant "List.op @" now named "List.append".  Use ML
  2904 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
  2905 circumvent possible incompatibilities when working on ML level.
  2906 
  2907 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
  2908 
  2909 * New function listsum :: 'a list => 'a for arbitrary monoids.
  2910 Special syntax: "SUM x <- xs. f x" (and latex variants)
  2911 
  2912 * New syntax for Haskell-like list comprehension (input only), eg.
  2913 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
  2914 
  2915 * The special syntax for function "filter" has changed from [x :
  2916 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
  2917 comprehension syntax, and for uniformity.  INCOMPATIBILITY.
  2918 
  2919 * [a..b] is now defined for arbitrary linear orders.  It used to be
  2920 defined on nat only, as an abbreviation for [a..<Suc b]
  2921 INCOMPATIBILITY.
  2922 
  2923 * Renamed lemma "set_take_whileD"  to "set_takeWhileD".
  2924 
  2925 * New functions "sorted" and "sort" in src/HOL/List.thy.
  2926 
  2927 * New lemma collection field_simps (an extension of ring_simps) for
  2928 manipulating (in)equations involving division. Multiplies with all
  2929 denominators that can be proved to be non-zero (in equations) or
  2930 positive/negative (in inequations).
  2931 
  2932 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
  2933 have been improved and renamed to ring_simps, group_simps and
  2934 ring_distribs.  Removed lemmas field_xyz in theory Ring_and_Field
  2935 because they were subsumed by lemmas xyz.  INCOMPATIBILITY.
  2936 
  2937 * Theory Library/Commutative_Ring: switched from recdef to function
  2938 package; constants add, mul, pow now curried.  Infix syntax for
  2939 algebraic operations.
  2940 
  2941 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
  2942 INCOMPATIBILITY.
  2943 
  2944 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
  2945 INCOMPATIBILITY.
  2946 
  2947 * HOL/records: generalised field-update to take a function on the
  2948 field rather than the new value: r(|A := x|) is translated to A_update
  2949 (K x) r The K-combinator that is internally used is called K_record.
  2950 INCOMPATIBILITY: Usage of the plain update functions has to be
  2951 adapted.
  2952  
  2953 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
  2954 * x = 0, which are required for a semiring.  Richer structures do not
  2955 inherit from semiring_0 anymore, because this property is a theorem
  2956 there, not an axiom.  INCOMPATIBILITY: In instances of semiring_0,
  2957 there is more to prove, but this is mostly trivial.
  2958 
  2959 * Class "recpower" is generalized to arbitrary monoids, not just
  2960 commutative semirings.  INCOMPATIBILITY: may need to incorporate
  2961 commutativity or semiring properties additionally.
  2962 
  2963 * Constant "List.list_all2" in List.thy now uses authentic syntax.
  2964 INCOMPATIBILITY: translations containing list_all2 may go wrong,
  2965 better use 'abbreviation'.
  2966 
  2967 * Renamed constant "List.op mem" to "List.member".  INCOMPATIBILITY.
  2968 
  2969 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
  2970 been abandoned in favour of plain 'int'.  INCOMPATIBILITY --
  2971 significant changes for setting up numeral syntax for types:
  2972   - New constants Numeral.pred and Numeral.succ instead
  2973       of former Numeral.bin_pred and Numeral.bin_succ.
  2974   - Use integer operations instead of bin_add, bin_mult and so on.
  2975   - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
  2976   - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
  2977 
  2978 See src/HOL/Integ/IntArith.thy for an example setup.
  2979 
  2980 * Command 'normal_form' computes the normal form of a term that may
  2981 contain free variables.  For example ``normal_form "rev [a, b, c]"''
  2982 produces ``[b, c, a]'' (without proof).  This command is suitable for
  2983 heavy-duty computations because the functions are compiled to ML
  2984 first.  Correspondingly, a method "normalization" is provided.  See
  2985 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
  2986 
  2987 * Alternative iff syntax "A <-> B" for equality on bool (with priority
  2988 25 like -->); output depends on the "iff" print_mode, the default is
  2989 "A = B" (with priority 50).
  2990 
  2991 * Relations less (<) and less_eq (<=) are also available on type bool.
  2992 Modified syntax to disallow nesting without explicit parentheses,
  2993 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z".  Potential
  2994 INCOMPATIBILITY.
  2995 
  2996 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
  2997 
  2998 * Relation composition operator "op O" now has precedence 75 and binds
  2999 stronger than union and intersection. INCOMPATIBILITY.
  3000 
  3001 * The old set interval syntax "{m..n(}" (and relatives) has been
  3002 removed.  Use "{m..<n}" (and relatives) instead.
  3003 
  3004 * In the context of the assumption "~(s = t)" the Simplifier rewrites
  3005 "t = s" to False (by simproc "neq").  INCOMPATIBILITY, consider using
  3006 ``declare [[simproc del: neq]]''.
  3007 
  3008 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
  3009 True/False.
  3010 
  3011 * Theorem Cons_eq_map_conv no longer declared as "simp".
  3012 
  3013 * Theorem setsum_mult renamed to setsum_right_distrib.
  3014 
  3015 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
  3016 ``rule'' method.
  3017 
  3018 * Reimplemented methods "sat" and "satx", with several improvements:
  3019 goals no longer need to be stated as "<prems> ==> False", equivalences
  3020 (i.e. "=" on type bool) are handled, variable names of the form
  3021 "lit_<n>" are no longer reserved, significant speedup.
  3022 
  3023 * Methods "sat" and "satx" can now replay MiniSat proof traces.
  3024 zChaff is still supported as well.
  3025 
  3026 * 'inductive' and 'datatype': provide projections of mutual rules,
  3027 bundled as foo_bar.inducts;
  3028 
  3029 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
  3030 Library.
  3031 
  3032 * Library: moved theory Accessible_Part to main HOL.
  3033 
  3034 * Library: added theory Coinductive_List of potentially infinite lists
  3035 as greatest fixed-point.
  3036 
  3037 * Library: added theory AssocList which implements (finite) maps as
  3038 association lists.
  3039 
  3040 * Method "evaluation" solves goals (i.e. a boolean expression)
  3041 efficiently by compiling it to ML.  The goal is "proved" (via an
  3042 oracle) if it evaluates to True.
  3043 
  3044 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
  3045 also when invoked by the simplifier.  This results in the Simplifier
  3046 being more powerful on arithmetic goals.  INCOMPATIBILITY.
  3047 Configuration option fast_arith_split_limit=0 recovers the old
  3048 behavior.
  3049 
  3050 * Support for hex (0x20) and binary (0b1001) numerals.
  3051 
  3052 * New method: reify eqs (t), where eqs are equations for an
  3053 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
  3054 parameter, computes a term s::'b and a list xs::'a list and proves the
  3055 theorem I xs s = t. This is also known as reification or quoting. The
  3056 resulting theorem is applied to the subgoal to substitute t with I xs
  3057 s.  If t is omitted, the subgoal itself is reified.
  3058 
  3059 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
  3060 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
  3061 where f is supposed to be a computable function (in the sense of code
  3062 generattion). The method uses reify to compute s and xs as above then
  3063 applies corr_thm and uses normalization by evaluation to "prove" f s =
  3064 r and finally gets the theorem t = r, which is again applied to the
  3065 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
  3066 
  3067 * Reflection: Automatic reification now handels binding, an example is
  3068 available in src/HOL/ex/ReflectionEx.thy
  3069 
  3070 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
  3071 command 'statespace' that is similar to 'record', but introduces an
  3072 abstract specification based on the locale infrastructure instead of
  3073 HOL types.  This leads to extra flexibility in composing state spaces,
  3074 in particular multiple inheritance and renaming of components.
  3075 
  3076 
  3077 *** HOL-Complex ***
  3078 
  3079 * Hyperreal: Functions root and sqrt are now defined on negative real
  3080 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
  3081 Nonnegativity side conditions have been removed from many lemmas, so
  3082 that more subgoals may now be solved by simplification; potential
  3083 INCOMPATIBILITY.
  3084 
  3085 * Real: new type classes formalize real normed vector spaces and
  3086 algebras, using new overloaded constants scaleR :: real => 'a => 'a
  3087 and norm :: 'a => real.
  3088 
  3089 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
  3090 reals into other types. The overloaded constant Reals :: 'a set is now
  3091 defined as range of_real; potential INCOMPATIBILITY.
  3092 
  3093 * Real: proper support for ML code generation, including 'quickcheck'.
  3094 Reals are implemented as arbitrary precision rationals.
  3095 
  3096 * Hyperreal: Several constants that previously worked only for the
  3097 reals have been generalized, so they now work over arbitrary vector
  3098 spaces. Type annotations may need to be added in some cases; potential
  3099 INCOMPATIBILITY.
  3100 
  3101   Infinitesimal  :: ('a::real_normed_vector) star set
  3102   HFinite        :: ('a::real_normed_vector) star set
  3103   HInfinite      :: ('a::real_normed_vector) star set
  3104   approx         :: ('a::real_normed_vector) star => 'a star => bool
  3105   monad          :: ('a::real_normed_vector) star => 'a star set
  3106   galaxy         :: ('a::real_normed_vector) star => 'a star set
  3107   (NS)LIMSEQ     :: [nat => 'a::real_normed_vector, 'a] => bool
  3108   (NS)convergent :: (nat => 'a::real_normed_vector) => bool
  3109   (NS)Bseq       :: (nat => 'a::real_normed_vector) => bool
  3110   (NS)Cauchy     :: (nat => 'a::real_normed_vector) => bool
  3111   (NS)LIM        :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
  3112   is(NS)Cont     :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
  3113   deriv          :: ['a::real_normed_field => 'a, 'a, 'a] => bool
  3114   sgn            :: 'a::real_normed_vector => 'a
  3115   exp            :: 'a::{recpower,real_normed_field,banach} => 'a
  3116 
  3117 * Complex: Some complex-specific constants are now abbreviations for
  3118 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
  3119 hnorm.  Other constants have been entirely removed in favor of the
  3120 polymorphic versions (INCOMPATIBILITY):
  3121 
  3122   approx        <-- capprox
  3123   HFinite       <-- CFinite
  3124   HInfinite     <-- CInfinite
  3125   Infinitesimal <-- CInfinitesimal
  3126   monad         <-- cmonad
  3127   galaxy        <-- cgalaxy
  3128   (NS)LIM       <-- (NS)CLIM, (NS)CRLIM
  3129   is(NS)Cont    <-- is(NS)Contc, is(NS)contCR
  3130   (ns)deriv     <-- (ns)cderiv
  3131 
  3132 
  3133 *** HOL-Algebra ***
  3134 
  3135 * Formalisation of ideals and the quotient construction over rings.
  3136 
  3137 * Order and lattice theory no longer based on records.
  3138 INCOMPATIBILITY.
  3139 
  3140 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
  3141 greatest_closed.  INCOMPATIBILITY.
  3142 
  3143 * Method algebra is now set up via an attribute.  For examples see
  3144 Ring.thy.  INCOMPATIBILITY: the method is now weaker on combinations
  3145 of algebraic structures.
  3146 
  3147 * Renamed theory CRing to Ring.
  3148 
  3149 
  3150 *** HOL-Nominal ***
  3151 
  3152 * Substantial, yet incomplete support for nominal datatypes (binding
  3153 structures) based on HOL-Nominal logic.  See src/HOL/Nominal and
  3154 src/HOL/Nominal/Examples.  Prospective users should consult
  3155 http://isabelle.in.tum.de/nominal/
  3156 
  3157 
  3158 *** ML ***
  3159 
  3160 * ML basics: just one true type int, which coincides with IntInf.int
  3161 (even on SML/NJ).
  3162 
  3163 * ML within Isar: antiquotations allow to embed statically-checked
  3164 formal entities in the source, referring to the context available at
  3165 compile-time.  For example:
  3166 
  3167 ML {* @{sort "{zero,one}"} *}
  3168 ML {* @{typ "'a => 'b"} *}
  3169 ML {* @{term "%x. x"} *}
  3170 ML {* @{prop "x == y"} *}
  3171 ML {* @{ctyp "'a => 'b"} *}
  3172 ML {* @{cterm "%x. x"} *}
  3173 ML {* @{cprop "x == y"} *}
  3174 ML {* @{thm asm_rl} *}
  3175 ML {* @{thms asm_rl} *}
  3176 ML {* @{type_name c} *}
  3177 ML {* @{type_syntax c} *}
  3178 ML {* @{const_name c} *}
  3179 ML {* @{const_syntax c} *}
  3180 ML {* @{context} *}
  3181 ML {* @{theory} *}
  3182 ML {* @{theory Pure} *}
  3183 ML {* @{theory_ref} *}
  3184 ML {* @{theory_ref Pure} *}
  3185 ML {* @{simpset} *}
  3186 ML {* @{claset} *}
  3187 ML {* @{clasimpset} *}
  3188 
  3189 The same works for sources being ``used'' within an Isar context.
  3190 
  3191 * ML in Isar: improved error reporting; extra verbosity with
  3192 ML_Context.trace enabled.
  3193 
  3194 * Pure/General/table.ML: the join operations now works via exceptions
  3195 DUP/SAME instead of type option. This is simpler in simple cases, and
  3196 admits slightly more efficient complex applications.
  3197 
  3198 * Pure: 'advanced' translation functions (parse_translation etc.) now
  3199 use Context.generic instead of just theory.
  3200 
  3201 * Pure: datatype Context.generic joins theory/Proof.context and
  3202 provides some facilities for code that works in either kind of
  3203 context, notably GenericDataFun for uniform theory and proof data.
  3204 
  3205 * Pure: simplified internal attribute type, which is now always
  3206 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
  3207 local (Proof.context) attributes have been discontinued, while
  3208 minimizing code duplication. Thm.rule_attribute and
  3209 Thm.declaration_attribute build canonical attributes; see also structure
  3210 Context for further operations on Context.generic, notably
  3211 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
  3212 declarations and definitions.
  3213 
  3214 * Context data interfaces (Theory/Proof/GenericDataFun): removed
  3215 name/print, uninitialized data defaults to ad-hoc copy of empty value,
  3216 init only required for impure data. INCOMPATIBILITY: empty really need
  3217 to be empty (no dependencies on theory content!)
  3218 
  3219 * Pure/kernel: consts certification ignores sort constraints given in
  3220 signature declarations. (This information is not relevant to the
  3221 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
  3222 potential INCOMPATIBILITY.
  3223 
  3224 * Pure: axiomatic type classes are now purely definitional, with
  3225 explicit proofs of class axioms and super class relations performed
  3226 internally. See Pure/axclass.ML for the main internal interfaces --
  3227 notably AxClass.define_class supercedes AxClass.add_axclass, and
  3228 AxClass.axiomatize_class/classrel/arity supersede
  3229 Sign.add_classes/classrel/arities.
  3230 
  3231 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
  3232 global/local versions on theory vs. Proof.context have been
  3233 discontinued; Attrib.syntax and Method.syntax have been adapted
  3234 accordingly.  INCOMPATIBILITY, need to adapt parser expressions for
  3235 attributes, methods, etc.
  3236 
  3237 * Pure: several functions of signature "... -> theory -> theory * ..."
  3238 have been reoriented to "... -> theory -> ... * theory" in order to
  3239 allow natural usage in combination with the ||>, ||>>, |-> and
  3240 fold_map combinators.
  3241 
  3242 * Pure: official theorem names (closed derivations) and additional
  3243 comments (tags) are now strictly separate.  Name hints -- which are
  3244 maintained as tags -- may be attached any time without affecting the
  3245 derivation.
  3246 
  3247 * Pure: primitive rule lift_rule now takes goal cterm instead of an
  3248 actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to
  3249 achieve the old behaviour.
  3250 
  3251 * Pure: the "Goal" constant is now called "prop", supporting a
  3252 slightly more general idea of ``protecting'' meta-level rule
  3253 statements.
  3254 
  3255 * Pure: Logic.(un)varify only works in a global context, which is now
  3256 enforced instead of silently assumed.  INCOMPATIBILITY, may use
  3257 Logic.legacy_(un)varify as temporary workaround.
  3258 
  3259 * Pure: structure Name provides scalable operations for generating
  3260 internal variable names, notably Name.variants etc.  This replaces
  3261 some popular functions from term.ML:
  3262 
  3263   Term.variant		->  Name.variant
  3264   Term.variantlist	->  Name.variant_list
  3265   Term.invent_names	->  Name.invent_list
  3266 
  3267 Note that low-level renaming rarely occurs in new code -- operations
  3268 from structure Variable are used instead (see below).
  3269 
  3270 * Pure: structure Variable provides fundamental operations for proper
  3271 treatment of fixed/schematic variables in a context.  For example,
  3272 Variable.import introduces fixes for schematics of given facts and
  3273 Variable.export reverses the effect (up to renaming) -- this replaces
  3274 various freeze_thaw operations.
  3275 
  3276 * Pure: structure Goal provides simple interfaces for
  3277 init/conclude/finish and tactical prove operations (replacing former
  3278 Tactic.prove).  Goal.prove is the canonical way to prove results
  3279 within a given context; Goal.prove_global is a degraded version for
  3280 theory level goals, including a global Drule.standard.  Note that
  3281 OldGoals.prove_goalw_cterm has long been obsolete, since it is
  3282 ill-behaved in a local proof context (e.g. with local fixes/assumes or
  3283 in a locale context).
  3284 
  3285 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
  3286 and type checking (Syntax.check_term etc.), with common combinations
  3287 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
  3288 which are considered legacy and await removal.
  3289 
  3290 * Pure/Syntax: generic interfaces for type unchecking
  3291 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
  3292 with common combinations (Syntax.pretty_term, Syntax.string_of_term
  3293 etc.).  Former Sign.pretty_term, Sign.string_of_term etc. are still
  3294 available for convenience, but refer to the very same operations using
  3295 a mere theory instead of a full context.
  3296 
  3297 * Isar: simplified treatment of user-level errors, using exception
  3298 ERROR of string uniformly.  Function error now merely raises ERROR,
  3299 without any side effect on output channels.  The Isar toplevel takes
  3300 care of proper display of ERROR exceptions.  ML code may use plain
  3301 handle/can/try; cat_error may be used to concatenate errors like this:
  3302 
  3303   ... handle ERROR msg => cat_error msg "..."
  3304 
  3305 Toplevel ML code (run directly or through the Isar toplevel) may be
  3306 embedded into the Isar toplevel with exception display/debug like
  3307 this:
  3308 
  3309   Isar.toplevel (fn () => ...)
  3310 
  3311 INCOMPATIBILITY, removed special transform_error facilities, removed
  3312 obsolete variants of user-level exceptions (ERROR_MESSAGE,
  3313 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
  3314 -- use plain ERROR instead.
  3315 
  3316 * Isar: theory setup now has type (theory -> theory), instead of a
  3317 list.  INCOMPATIBILITY, may use #> to compose setup functions.
  3318 
  3319 * Isar: ML toplevel pretty printer for type Proof.context, subject to
  3320 ProofContext.debug/verbose flags.
  3321 
  3322 * Isar: Toplevel.theory_to_proof admits transactions that modify the
  3323 theory before entering a proof state.  Transactions now always see a
  3324 quasi-functional intermediate checkpoint, both in interactive and
  3325 batch mode.
  3326 
  3327 * Isar: simplified interfaces for outer syntax.  Renamed
  3328 OuterSyntax.add_keywords to OuterSyntax.keywords.  Removed
  3329 OuterSyntax.add_parsers -- this functionality is now included in
  3330 OuterSyntax.command etc.  INCOMPATIBILITY.
  3331 
  3332 * Simplifier: the simpset of a running simplification process now
  3333 contains a proof context (cf. Simplifier.the_context), which is the
  3334 very context that the initial simpset has been retrieved from (by
  3335 simpset_of/local_simpset_of).  Consequently, all plug-in components
  3336 (solver, looper etc.) may depend on arbitrary proof data.
  3337 
  3338 * Simplifier.inherit_context inherits the proof context (plus the
  3339 local bounds) of the current simplification process; any simproc
  3340 etc. that calls the Simplifier recursively should do this!  Removed
  3341 former Simplifier.inherit_bounds, which is already included here --
  3342 INCOMPATIBILITY.  Tools based on low-level rewriting may even have to
  3343 specify an explicit context using Simplifier.context/theory_context.
  3344 
  3345 * Simplifier/Classical Reasoner: more abstract interfaces
  3346 change_simpset/claset for modifying the simpset/claset reference of a
  3347 theory; raw versions simpset/claset_ref etc. have been discontinued --
  3348 INCOMPATIBILITY.
  3349 
  3350 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
  3351 "Trueprop" etc.
  3352 
  3353 
  3354 *** System ***
  3355 
  3356 * settings: the default heap location within ISABELLE_HOME_USER now
  3357 includes ISABELLE_IDENTIFIER.  This simplifies use of multiple
  3358 Isabelle installations.
  3359 
  3360 * isabelle-process: option -S (secure mode) disables some critical
  3361 operations, notably runtime compilation and evaluation of ML source
  3362 code.
  3363 
  3364 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
  3365 
  3366 * Support for parallel execution, using native multicore support of
  3367 Poly/ML 5.1.  The theory loader exploits parallelism when processing
  3368 independent theories, according to the given theory header
  3369 specifications. The maximum number of worker threads is specified via
  3370 usedir option -M or the "max-threads" setting in Proof General. A
  3371 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
  3372 to 6 on a 8-core machine.  User-code needs to observe certain
  3373 guidelines for thread-safe programming, see appendix A in the Isar
  3374 Implementation manual.
  3375 
  3376 
  3377 
  3378 New in Isabelle2005 (October 2005)
  3379 ----------------------------------
  3380 
  3381 *** General ***
  3382 
  3383 * Theory headers: the new header syntax for Isar theories is
  3384 
  3385   theory <name>
  3386   imports <theory1> ... <theoryN>
  3387   uses <file1> ... <fileM>
  3388   begin
  3389 
  3390 where the 'uses' part is optional.  The previous syntax
  3391 
  3392   theory <name> = <theory1> + ... + <theoryN>:
  3393 
  3394 will disappear in the next release.  Use isatool fixheaders to convert
  3395 existing theory files.  Note that there is no change in ancient
  3396 non-Isar theories now, but these will disappear soon.
  3397 
  3398 * Theory loader: parent theories can now also be referred to via
  3399 relative and absolute paths.
  3400 
  3401 * Command 'find_theorems' searches for a list of criteria instead of a
  3402 list of constants. Known criteria are: intro, elim, dest, name:string,
  3403 simp:term, and any term. Criteria can be preceded by '-' to select
  3404 theorems that do not match. Intro, elim, dest select theorems that
  3405 match the current goal, name:s selects theorems whose fully qualified
  3406 name contain s, and simp:term selects all simplification rules whose
  3407 lhs match term.  Any other term is interpreted as pattern and selects
  3408 all theorems matching the pattern. Available in ProofGeneral under
  3409 'ProofGeneral -> Find Theorems' or C-c C-f.  Example:
  3410 
  3411   C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
  3412 
  3413 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
  3414 matching the current goal as introduction rule and not having "HOL."
  3415 in their name (i.e. not being defined in theory HOL).
  3416 
  3417 * Command 'thms_containing' has been discontinued in favour of
  3418 'find_theorems'; INCOMPATIBILITY.
  3419 
  3420 * Communication with Proof General is now 8bit clean, which means that
  3421 Unicode text in UTF-8 encoding may be used within theory texts (both
  3422 formal and informal parts).  Cf. option -U of the Isabelle Proof
  3423 General interface.  Here are some simple examples (cf. src/HOL/ex):
  3424 
  3425   http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
  3426   http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
  3427 
  3428 * Improved efficiency of the Simplifier and, to a lesser degree, the
  3429 Classical Reasoner.  Typical big applications run around 2 times
  3430 faster.
  3431 
  3432 
  3433 *** Document preparation ***
  3434 
  3435 * Commands 'display_drafts' and 'print_drafts' perform simple output
  3436 of raw sources.  Only those symbols that do not require additional
  3437 LaTeX packages (depending on comments in isabellesym.sty) are
  3438 displayed properly, everything else is left verbatim.  isatool display
  3439 and isatool print are used as front ends (these are subject to the
  3440 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
  3441 
  3442 * Command tags control specific markup of certain regions of text,
  3443 notably folding and hiding.  Predefined tags include "theory" (for
  3444 theory begin and end), "proof" for proof commands, and "ML" for
  3445 commands involving ML code; the additional tags "visible" and
  3446 "invisible" are unused by default.  Users may give explicit tag
  3447 specifications in the text, e.g. ''by %invisible (auto)''.  The
  3448 interpretation of tags is determined by the LaTeX job during document
  3449 preparation: see option -V of isatool usedir, or options -n and -t of
  3450 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
  3451 \isadroptag.
  3452 
  3453 Several document versions may be produced at the same time via isatool
  3454 usedir (the generated index.html will link all of them).  Typical
  3455 specifications include ''-V document=theory,proof,ML'' to present
  3456 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
  3457 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
  3458 these parts without any formal replacement text.  The Isabelle site
  3459 default settings produce ''document'' and ''outline'' versions as
  3460 specified above.
  3461 
  3462 * Several new antiquotations:
  3463 
  3464   @{term_type term} prints a term with its type annotated;
  3465 
  3466   @{typeof term} prints the type of a term;
  3467 
  3468   @{const const} is the same as @{term const}, but checks that the
  3469   argument is a known logical constant;
  3470 
  3471   @{term_style style term} and @{thm_style style thm} print a term or
  3472   theorem applying a "style" to it
  3473 
  3474   @{ML text}
  3475 
  3476 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
  3477 definitions, equations, inequations etc., 'concl' printing only the
  3478 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
  3479 to print the specified premise.  TermStyle.add_style provides an ML
  3480 interface for introducing further styles.  See also the "LaTeX Sugar"
  3481 document practical applications.  The ML antiquotation prints
  3482 type-checked ML expressions verbatim.
  3483 
  3484 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
  3485 and 'text' support optional locale specification '(in loc)', which
  3486 specifies the default context for interpreting antiquotations.  For
  3487 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
  3488 
  3489 * Option 'locale=NAME' of antiquotations specifies an alternative
  3490 context interpreting the subsequent argument.  For example: @{thm
  3491 [locale=lattice] inf_assoc}.
  3492 
  3493 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
  3494 a proof context.
  3495 
  3496 * Proper output of antiquotations for theory commands involving a
  3497 proof context (such as 'locale' or 'theorem (in loc) ...').
  3498 
  3499 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
  3500 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
  3501 
  3502 * isatool usedir: new option -C (default true) controls whether option
  3503 -D should include a copy of the original document directory; -C false
  3504 prevents unwanted effects such as copying of administrative CVS data.
  3505 
  3506 
  3507 *** Pure ***
  3508 
  3509 * Considerably improved version of 'constdefs' command.  Now performs
  3510 automatic type-inference of declared constants; additional support for
  3511 local structure declarations (cf. locales and HOL records), see also
  3512 isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly
  3513 sequential dependencies of definitions within a single 'constdefs'
  3514 section; moreover, the declared name needs to be an identifier.  If
  3515 all fails, consider to fall back on 'consts' and 'defs' separately.
  3516 
  3517 * Improved indexed syntax and implicit structures.  First of all,
  3518 indexed syntax provides a notational device for subscripted
  3519 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
  3520 expressions.  Secondly, in a local context with structure
  3521 declarations, number indexes \<^sub>n or the empty index (default
  3522 number 1) refer to a certain fixed variable implicitly; option
  3523 show_structs controls printing of implicit structures.  Typical
  3524 applications of these concepts involve record types and locales.
  3525 
  3526 * New command 'no_syntax' removes grammar declarations (and
  3527 translations) resulting from the given syntax specification, which is
  3528 interpreted in the same manner as for the 'syntax' command.
  3529 
  3530 * 'Advanced' translation functions (parse_translation etc.) may depend
  3531 on the signature of the theory context being presently used for
  3532 parsing/printing, see also isar-ref manual.
  3533 
  3534 * Improved 'oracle' command provides a type-safe interface to turn an
  3535 ML expression of type theory -> T -> term into a primitive rule of
  3536 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
  3537 is already included here); see also FOL/ex/IffExample.thy;
  3538 INCOMPATIBILITY.
  3539 
  3540 * axclass: name space prefix for class "c" is now "c_class" (was "c"
  3541 before); "cI" is no longer bound, use "c.intro" instead.
  3542 INCOMPATIBILITY.  This change avoids clashes of fact bindings for
  3543 axclasses vs. locales.
  3544 
  3545 * Improved internal renaming of symbolic identifiers -- attach primes
  3546 instead of base 26 numbers.
  3547 
  3548 * New flag show_question_marks controls printing of leading question
  3549 marks in schematic variable names.
  3550 
  3551 * In schematic variable names, *any* symbol following \<^isub> or
  3552 \<^isup> is now treated as part of the base name.  For example, the
  3553 following works without printing of awkward ".0" indexes:
  3554 
  3555   lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
  3556     by simp
  3557 
  3558 * Inner syntax includes (*(*nested*) comments*).
  3559 
  3560 * Pretty printer now supports unbreakable blocks, specified in mixfix
  3561 annotations as "(00...)".
  3562 
  3563 * Clear separation of logical types and nonterminals, where the latter
  3564 may only occur in 'syntax' specifications or type abbreviations.
  3565 Before that distinction was only partially implemented via type class
  3566 "logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper
  3567 use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very
  3568 exotic syntax specifications may require further adaption
  3569 (e.g. Cube/Cube.thy).
  3570 
  3571 * Removed obsolete type class "logic", use the top sort {} instead.
  3572 Note that non-logical types should be declared as 'nonterminals'
  3573 rather than 'types'.  INCOMPATIBILITY for new object-logic
  3574 specifications.
  3575 
  3576 * Attributes 'induct' and 'cases': type or set names may now be
  3577 locally fixed variables as well.
  3578 
  3579 * Simplifier: can now control the depth to which conditional rewriting
  3580 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
  3581 Limit.
  3582 
  3583 * Simplifier: simplification procedures may now take the current
  3584 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
  3585 interface), which is very useful for calling the Simplifier
  3586 recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs
  3587 is gone -- use prems_of_ss on the simpset instead.  Moreover, the
  3588 low-level mk_simproc no longer applies Logic.varify internally, to
  3589 allow for use in a context of fixed variables.
  3590 
  3591 * thin_tac now works even if the assumption being deleted contains !!
  3592 or ==>.  More generally, erule now works even if the major premise of
  3593 the elimination rule contains !! or ==>.
  3594 
  3595 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
  3596 
  3597 * Reorganized bootstrapping of the Pure theories; CPure is now derived
  3598 from Pure, which contains all common declarations already.  Both
  3599 theories are defined via plain Isabelle/Isar .thy files.
  3600 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
  3601 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
  3602 use isatool fixcpure to adapt your theory and ML sources.
  3603 
  3604 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
  3605 selections of theorems in named facts via index ranges.
  3606 
  3607 * 'print_theorems': in theory mode, really print the difference
  3608 wrt. the last state (works for interactive theory development only),
  3609 in proof mode print all local facts (cf. 'print_facts');
  3610 
  3611 * 'hide': option '(open)' hides only base names.
  3612 
  3613 * More efficient treatment of intermediate checkpoints in interactive
  3614 theory development.
  3615 
  3616 * Code generator is now invoked via code_module (incremental code
  3617 generation) and code_library (modular code generation, ML structures
  3618 for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'
  3619 must be quoted when used as identifiers.
  3620 
  3621 * New 'value' command for reading, evaluating and printing terms using
  3622 the code generator.  INCOMPATIBILITY: command keyword 'value' must be
  3623 quoted when used as identifier.
  3624 
  3625 
  3626 *** Locales ***
  3627 
  3628 * New commands for the interpretation of locale expressions in
  3629 theories (1), locales (2) and proof contexts (3).  These generate
  3630 proof obligations from the expression specification.  After the
  3631 obligations have been discharged, theorems of the expression are added
  3632 to the theory, target locale or proof context.  The synopsis of the
  3633 commands is a follows:
  3634 
  3635   (1) interpretation expr inst
  3636   (2) interpretation target < expr
  3637   (3) interpret expr inst
  3638 
  3639 Interpretation in theories and proof contexts require a parameter
  3640 instantiation of terms from the current context.  This is applied to
  3641 specifications and theorems of the interpreted expression.
  3642 Interpretation in locales only permits parameter renaming through the
  3643 locale expression.  Interpretation is smart in that interpretations
  3644 that are active already do not occur in proof obligations, neither are
  3645 instantiated theorems stored in duplicate.  Use 'print_interps' to
  3646 inspect active interpretations of a particular locale.  For details,
  3647 see the Isar Reference manual.  Examples can be found in
  3648 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
  3649 
  3650 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
  3651 'interpret' instead.
  3652 
  3653 * New context element 'constrains' for adding type constraints to
  3654 parameters.
  3655 
  3656 * Context expressions: renaming of parameters with syntax
  3657 redeclaration.
  3658 
  3659 * Locale declaration: 'includes' disallowed.
  3660 
  3661 * Proper static binding of attribute syntax -- i.e. types / terms /
  3662 facts mentioned as arguments are always those of the locale definition
  3663 context, independently of the context of later invocations.  Moreover,
  3664 locale operations (renaming and type / term instantiation) are applied
  3665 to attribute arguments as expected.
  3666 
  3667 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
  3668 actual attributes; rare situations may require Attrib.attribute to
  3669 embed those attributes into Attrib.src that lack concrete syntax.
  3670 Attribute implementations need to cooperate properly with the static
  3671 binding mechanism.  Basic parsers Args.XXX_typ/term/prop and
  3672 Attrib.XXX_thm etc. already do the right thing without further
  3673 intervention.  Only unusual applications -- such as "where" or "of"
  3674 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
  3675 on the context and the facts involved -- may have to assign parsed
  3676 values to argument tokens explicitly.
  3677 
  3678 * Changed parameter management in theorem generation for long goal
  3679 statements with 'includes'.  INCOMPATIBILITY: produces a different
  3680 theorem statement in rare situations.
  3681 
  3682 * Locale inspection command 'print_locale' omits notes elements.  Use
  3683 'print_locale!' to have them included in the output.
  3684 
  3685 
  3686 *** Provers ***
  3687 
  3688 * Provers/hypsubst.ML: improved version of the subst method, for
  3689 single-step rewriting: it now works in bound variable contexts. New is
  3690 'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may
  3691 rewrite a different subterm than the original subst method, which is
  3692 still available as 'simplesubst'.
  3693 
  3694 * Provers/quasi.ML: new transitivity reasoners for transitivity only
  3695 and quasi orders.
  3696 
  3697 * Provers/trancl.ML: new transitivity reasoner for transitive and
  3698 reflexive-transitive closure of relations.
  3699 
  3700 * Provers/blast.ML: new reference depth_limit to make blast's depth
  3701 limit (previously hard-coded with a value of 20) user-definable.
  3702 
  3703 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
  3704 is peformed already.  Object-logics merely need to finish their
  3705 initial simpset configuration as before.  INCOMPATIBILITY.
  3706 
  3707 
  3708 *** HOL ***
  3709 
  3710 * Symbolic syntax of Hilbert Choice Operator is now as follows:
  3711 
  3712   syntax (epsilon)
  3713     "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)
  3714 
  3715 The symbol \<some> is displayed as the alternative epsilon of LaTeX
  3716 and x-symbol; use option '-m epsilon' to get it actually printed.
  3717 Moreover, the mathematically important symbolic identifier \<epsilon>
  3718 becomes available as variable, constant etc.  INCOMPATIBILITY,
  3719 
  3720 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
  3721 Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=
  3722 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
  3723 support corresponding Isar calculations.
  3724 
  3725 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
  3726 instead of ":".
  3727 
  3728 * theory SetInterval: changed the syntax for open intervals:
  3729 
  3730   Old       New
  3731   {..n(}    {..<n}
  3732   {)n..}    {n<..}
  3733   {m..n(}   {m..<n}
  3734   {)m..n}   {m<..n}
  3735   {)m..n(}  {m<..<n}
  3736 
  3737 The old syntax is still supported but will disappear in the next
  3738 release.  For conversion use the following Emacs search and replace
  3739 patterns (these are not perfect but work quite well):
  3740 
  3741   {)\([^\.]*\)\.\.  ->  {\1<\.\.}
  3742   \.\.\([^(}]*\)(}  ->  \.\.<\1}
  3743 
  3744 * Theory Commutative_Ring (in Library): method comm_ring for proving
  3745 equalities in commutative rings; method 'algebra' provides a generic
  3746 interface.
  3747 
  3748 * Theory Finite_Set: changed the syntax for 'setsum', summation over
  3749 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
  3750 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
  3751 be a tuple pattern.
  3752 
  3753 Some new syntax forms are available:
  3754 
  3755   "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"
  3756   "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"
  3757   "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"
  3758   "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"
  3759 
  3760 The latter form "\<Sum>x < k. e" used to be based on a separate
  3761 function "Summation", which has been discontinued.
  3762 
  3763 * theory Finite_Set: in structured induction proofs, the insert case
  3764 is now 'case (insert x F)' instead of the old counterintuitive 'case
  3765 (insert F x)'.
  3766 
  3767 * The 'refute' command has been extended to support a much larger
  3768 fragment of HOL, including axiomatic type classes, constdefs and
  3769 typedefs, inductive datatypes and recursion.
  3770 
  3771 * New tactics 'sat' and 'satx' to prove propositional tautologies.
  3772 Requires zChaff with proof generation to be installed.  See
  3773 HOL/ex/SAT_Examples.thy for examples.
  3774 
  3775 * Datatype induction via method 'induct' now preserves the name of the
  3776 induction variable. For example, when proving P(xs::'a list) by
  3777 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
  3778 than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY
  3779 in unstructured proof scripts.
  3780 
  3781 * Reworked implementation of records.  Improved scalability for
  3782 records with many fields, avoiding performance problems for type
  3783 inference. Records are no longer composed of nested field types, but
  3784 of nested extension types. Therefore the record type only grows linear
  3785 in the number of extensions and not in the number of fields.  The
  3786 top-level (users) view on records is preserved.  Potential
  3787 INCOMPATIBILITY only in strange cases, where the theory depends on the
  3788 old record representation. The type generated for a record is called
  3789 <record_name>_ext_type.
  3790 
  3791 Flag record_quick_and_dirty_sensitive can be enabled to skip the
  3792 proofs triggered by a record definition or a simproc (if
  3793 quick_and_dirty is enabled).  Definitions of large records can take
  3794 quite long.
  3795 
  3796 New simproc record_upd_simproc for simplification of multiple record
  3797 updates enabled by default.  Moreover, trivial updates are also
  3798 removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break
  3799 occasionally, since simplification is more powerful by default.
  3800 
  3801 * typedef: proper support for polymorphic sets, which contain extra
  3802 type-variables in the term.
  3803 
  3804 * Simplifier: automatically reasons about transitivity chains
  3805 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
  3806 provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:
  3807 old proofs break occasionally as simplification may now solve more
  3808 goals than previously.
  3809 
  3810 * Simplifier: converts x <= y into x = y if assumption y <= x is
  3811 present.  Works for all partial orders (class "order"), in particular
  3812 numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y
  3813 just like y <= x.
  3814 
  3815 * Simplifier: new simproc for "let x = a in f x".  If a is a free or
  3816 bound variable or a constant then the let is unfolded.  Otherwise
  3817 first a is simplified to b, and then f b is simplified to g. If
  3818 possible we abstract b from g arriving at "let x = b in h x",
  3819 otherwise we unfold the let and arrive at g.  The simproc can be
  3820 enabled/disabled by the reference use_let_simproc.  Potential
  3821 INCOMPATIBILITY since simplification is more powerful by default.
  3822 
  3823 * Classical reasoning: the meson method now accepts theorems as arguments.
  3824 
  3825 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
  3826 jobs to provide advice on the provability of subgoals.
  3827 
  3828 * Theory OrderedGroup and Ring_and_Field: various additions and
  3829 improvements to faciliate calculations involving equalities and
  3830 inequalities.
  3831 
  3832 The following theorems have been eliminated or modified
  3833 (INCOMPATIBILITY):
  3834 
  3835   abs_eq             now named abs_of_nonneg
  3836   abs_of_ge_0        now named abs_of_nonneg
  3837   abs_minus_eq       now named abs_of_nonpos
  3838   imp_abs_id         now named abs_of_nonneg
  3839   imp_abs_neg_id     now named abs_of_nonpos
  3840   mult_pos           now named mult_pos_pos
  3841   mult_pos_le        now named mult_nonneg_nonneg
  3842   mult_pos_neg_le    now named mult_nonneg_nonpos
  3843   mult_pos_neg2_le   now named mult_nonneg_nonpos2
  3844   mult_neg           now named mult_neg_neg
  3845   mult_neg_le        now named mult_nonpos_nonpos
  3846 
  3847 * The following lemmas in Ring_and_Field have been added to the simplifier:
  3848      
  3849      zero_le_square
  3850      not_square_less_zero 
  3851 
  3852   The following lemmas have been deleted from Real/RealPow:
  3853   
  3854      realpow_zero_zero
  3855      realpow_two
  3856      realpow_less
  3857      zero_le_power
  3858      realpow_two_le
  3859      abs_realpow_two
  3860      realpow_two_abs     
  3861 
  3862 * Theory Parity: added rules for simplifying exponents.
  3863 
  3864 * Theory List:
  3865 
  3866 The following theorems have been eliminated or modified
  3867 (INCOMPATIBILITY):
  3868 
  3869   list_all_Nil       now named list_all.simps(1)
  3870   list_all_Cons      now named list_all.simps(2)
  3871   list_all_conv      now named list_all_iff
  3872   set_mem_eq         now named mem_iff
  3873 
  3874 * Theories SetsAndFunctions and BigO (see HOL/Library) support
  3875 asymptotic "big O" calculations.  See the notes in BigO.thy.
  3876 
  3877 
  3878 *** HOL-Complex ***
  3879 
  3880 * Theory RealDef: better support for embedding natural numbers and
  3881 integers in the reals.
  3882 
  3883 The following theorems have been eliminated or modified
  3884 (INCOMPATIBILITY):
  3885 
  3886   exp_ge_add_one_self  now requires no hypotheses
  3887   real_of_int_add      reversed direction of equality (use [symmetric])
  3888   real_of_int_minus    reversed direction of equality (use [symmetric])
  3889   real_of_int_diff     reversed direction of equality (use [symmetric])
  3890   real_of_int_mult     reversed direction of equality (use [symmetric])
  3891 
  3892 * Theory RComplete: expanded support for floor and ceiling functions.
  3893 
  3894 * Theory Ln is new, with properties of the natural logarithm
  3895 
  3896 * Hyperreal: There is a new type constructor "star" for making
  3897 nonstandard types.  The old type names are now type synonyms:
  3898 
  3899   hypreal = real star
  3900   hypnat = nat star
  3901   hcomplex = complex star
  3902 
  3903 * Hyperreal: Many groups of similarly-defined constants have been
  3904 replaced by polymorphic versions (INCOMPATIBILITY):
  3905 
  3906   star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
  3907 
  3908   starset      <-- starsetNat, starsetC
  3909   *s*          <-- *sNat*, *sc*
  3910   starset_n    <-- starsetNat_n, starsetC_n
  3911   *sn*         <-- *sNatn*, *scn*
  3912   InternalSets <-- InternalNatSets, InternalCSets
  3913 
  3914   starfun      <-- starfun{Nat,Nat2,C,RC,CR}
  3915   *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
  3916   starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n
  3917   *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
  3918   InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
  3919 
  3920 * Hyperreal: Many type-specific theorems have been removed in favor of
  3921 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
  3922 
  3923   add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
  3924   add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs
  3925   OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
  3926   OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
  3927   right_minus <-- hypreal_add_minus
  3928   left_minus <-- {hypreal,hcomplex}_add_minus_left
  3929   mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
  3930   mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
  3931   mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
  3932   mult_1_right <-- hcomplex_mult_one_right
  3933   mult_zero_left <-- hcomplex_mult_zero_left
  3934   left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
  3935   right_distrib <-- hypnat_add_mult_distrib2
  3936   zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
  3937   right_inverse <-- hypreal_mult_inverse
  3938   left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
  3939   order_refl <-- {hypreal,hypnat}_le_refl
  3940   order_trans <-- {hypreal,hypnat}_le_trans
  3941   order_antisym <-- {hypreal,hypnat}_le_anti_sym
  3942   order_less_le <-- {hypreal,hypnat}_less_le
  3943   linorder_linear <-- {hypreal,hypnat}_le_linear
  3944   add_left_mono <-- {hypreal,hypnat}_add_left_mono
  3945   mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
  3946   add_nonneg_nonneg <-- hypreal_le_add_order
  3947 
  3948 * Hyperreal: Separate theorems having to do with type-specific
  3949 versions of constants have been merged into theorems that apply to the
  3950 new polymorphic constants (INCOMPATIBILITY):
  3951 
  3952   STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
  3953   STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
  3954   STAR_Un <-- {STAR,NatStar,STARC}_Un
  3955   STAR_Int <-- {STAR,NatStar,STARC}_Int
  3956   STAR_Compl <-- {STAR,NatStar,STARC}_Compl
  3957   STAR_subset <-- {STAR,NatStar,STARC}_subset
  3958   STAR_mem <-- {STAR,NatStar,STARC}_mem
  3959   STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
  3960   STAR_diff <-- {STAR,STARC}_diff
  3961   STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
  3962     STARC_hcomplex_of_complex}_image_subset
  3963   starset_n_Un <-- starset{Nat,C}_n_Un
  3964   starset_n_Int <-- starset{Nat,C}_n_Int
  3965   starset_n_Compl <-- starset{Nat,C}_n_Compl
  3966   starset_n_diff <-- starset{Nat,C}_n_diff
  3967   InternalSets_Un <-- Internal{Nat,C}Sets_Un
  3968   InternalSets_Int <-- Internal{Nat,C}Sets_Int
  3969   InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
  3970   InternalSets_diff <-- Internal{Nat,C}Sets_diff
  3971   InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
  3972   InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
  3973   starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
  3974   starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
  3975   starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
  3976   starfun <-- starfun{Nat,Nat2,C,RC,CR}
  3977   starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
  3978   starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
  3979   starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
  3980   starfun_diff <-- starfun{C,RC,CR}_diff
  3981   starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
  3982   starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
  3983   starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
  3984   starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
  3985   starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
  3986   starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
  3987   starfun_Id <-- starfunC_Id
  3988   starfun_approx <-- starfun{Nat,CR}_approx
  3989   starfun_capprox <-- starfun{C,RC}_capprox
  3990   starfun_abs <-- starfunNat_rabs
  3991   starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
  3992   starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
  3993   starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
  3994   starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
  3995   starfun_add_capprox <-- starfun{C,RC}_add_capprox
  3996   starfun_add_approx <-- starfunCR_add_approx
  3997   starfun_inverse_inverse <-- starfunC_inverse_inverse
  3998   starfun_divide <-- starfun{C,CR,RC}_divide
  3999   starfun_n <-- starfun{Nat,C}_n
  4000   starfun_n_mult <-- starfun{Nat,C}_n_mult
  4001   starfun_n_add <-- starfun{Nat,C}_n_add
  4002   starfun_n_add_minus <-- starfunNat_n_add_minus
  4003   starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
  4004   starfun_n_minus <-- starfun{Nat,C}_n_minus
  4005   starfun_n_eq <-- starfun{Nat,C}_n_eq
  4006 
  4007   star_n_add <-- {hypreal,hypnat,hcomplex}_add
  4008   star_n_minus <-- {hypreal,hcomplex}_minus
  4009   star_n_diff <-- {hypreal,hcomplex}_diff
  4010   star_n_mult <-- {hypreal,hcomplex}_mult
  4011   star_n_inverse <-- {hypreal,hcomplex}_inverse
  4012   star_n_le <-- {hypreal,hypnat}_le
  4013   star_n_less <-- {hypreal,hypnat}_less
  4014   star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
  4015   star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
  4016   star_n_abs <-- hypreal_hrabs
  4017   star_n_divide <-- hcomplex_divide
  4018 
  4019   star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
  4020   star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
  4021   star_of_diff <-- hypreal_of_real_diff
  4022   star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
  4023   star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
  4024   star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
  4025   star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
  4026   star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
  4027   star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
  4028   star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
  4029   star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
  4030   star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
  4031   star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
  4032   star_of_number_of <-- {hypreal,hcomplex}_number_of
  4033   star_of_number_less <-- number_of_less_hypreal_of_real_iff
  4034   star_of_number_le <-- number_of_le_hypreal_of_real_iff
  4035   star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
  4036   star_of_less_number <-- hypreal_of_real_less_number_of_iff
  4037   star_of_le_number <-- hypreal_of_real_le_number_of_iff
  4038   star_of_power <-- hypreal_of_real_power
  4039   star_of_eq_0 <-- hcomplex_of_complex_zero_iff
  4040 
  4041 * Hyperreal: new method "transfer" that implements the transfer
  4042 principle of nonstandard analysis. With a subgoal that mentions
  4043 nonstandard types like "'a star", the command "apply transfer"
  4044 replaces it with an equivalent one that mentions only standard types.
  4045 To be successful, all free variables must have standard types; non-
  4046 standard variables must have explicit universal quantifiers.
  4047 
  4048 * Hyperreal: A theory of Taylor series.
  4049 
  4050 
  4051 *** HOLCF ***
  4052 
  4053 * Discontinued special version of 'constdefs' (which used to support
  4054 continuous functions) in favor of the general Pure one with full
  4055 type-inference.
  4056 
  4057 * New simplification procedure for solving continuity conditions; it
  4058 is much faster on terms with many nested lambda abstractions (cubic
  4059 instead of exponential time).
  4060 
  4061 * New syntax for domain package: selector names are now optional.
  4062 Parentheses should be omitted unless argument is lazy, for example:
  4063 
  4064   domain 'a stream = cons "'a" (lazy "'a stream")
  4065 
  4066 * New command 'fixrec' for defining recursive functions with pattern
  4067 matching; defining multiple functions with mutual recursion is also
  4068 supported.  Patterns may include the constants cpair, spair, up, sinl,
  4069 sinr, or any data constructor defined by the domain package. The given
  4070 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
  4071 syntax and examples.
  4072 
  4073 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
  4074 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
  4075 but the proof obligation additionally includes an admissibility
  4076 requirement. The packages generate instances of class cpo or pcpo,
  4077 with continuity and strictness theorems for Rep and Abs.
  4078 
  4079 * HOLCF: Many theorems have been renamed according to a more standard naming
  4080 scheme (INCOMPATIBILITY):
  4081 
  4082   foo_inject:  "foo$x = foo$y ==> x = y"
  4083   foo_eq:      "(foo$x = foo$y) = (x = y)"
  4084   foo_less:    "(foo$x << foo$y) = (x << y)"
  4085   foo_strict:  "foo$UU = UU"
  4086   foo_defined: "... ==> foo$x ~= UU"
  4087   foo_defined_iff: "(foo$x = UU) = (x = UU)"
  4088 
  4089 
  4090 *** ZF ***
  4091 
  4092 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
  4093 including the First Isomorphism Theorem (on quotienting by the kernel
  4094 of a homomorphism).
  4095 
  4096 * ZF/Simplifier: install second copy of type solver that actually
  4097 makes use of TC rules declared to Isar proof contexts (or locales);
  4098 the old version is still required for ML proof scripts.
  4099 
  4100 
  4101 *** Cube ***
  4102 
  4103 * Converted to Isar theory format; use locales instead of axiomatic
  4104 theories.
  4105 
  4106 
  4107 *** ML ***
  4108 
  4109 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
  4110 for ||>, ||>>, |>>,
  4111 
  4112 * Pure/library.ML no longer defines its own option datatype, but uses
  4113 that of the SML basis, which has constructors NONE and SOME instead of
  4114 None and Some, as well as exception Option.Option instead of OPTION.
  4115 The functions the, if_none, is_some, is_none have been adapted
  4116 accordingly, while Option.map replaces apsome.
  4117 
  4118 * Pure/library.ML: the exception LIST has been given up in favour of
  4119 the standard exceptions Empty and Subscript, as well as
  4120 Library.UnequalLengths.  Function like Library.hd and Library.tl are
  4121 superceded by the standard hd and tl functions etc.
  4122 
  4123 A number of basic list functions are no longer exported to the ML
  4124 toplevel, as they are variants of predefined functions.  The following
  4125 suggests how one can translate existing code:
  4126 
  4127     rev_append xs ys = List.revAppend (xs, ys)
  4128     nth_elem (i, xs) = List.nth (xs, i)
  4129     last_elem xs = List.last xs
  4130     flat xss = List.concat xss
  4131     seq fs = List.app fs
  4132     partition P xs = List.partition P xs
  4133     mapfilter f xs = List.mapPartial f xs
  4134 
  4135 * Pure/library.ML: several combinators for linear functional
  4136 transformations, notably reverse application and composition:
  4137 
  4138   x |> f                f #> g
  4139   (x, y) |-> f          f #-> g
  4140 
  4141 * Pure/library.ML: introduced/changed precedence of infix operators:
  4142 
  4143   infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
  4144   infix 2 ?;
  4145   infix 3 o oo ooo oooo;
  4146   infix 4 ~~ upto downto;
  4147 
  4148 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
  4149 infix operators.
  4150 
  4151 * Pure/library.ML: natural list combinators fold, fold_rev, and
  4152 fold_map support linear functional transformations and nesting.  For
  4153 example:
  4154 
  4155   fold f [x1, ..., xN] y =
  4156     y |> f x1 |> ... |> f xN
  4157 
  4158   (fold o fold) f [xs1, ..., xsN] y =
  4159     y |> fold f xs1 |> ... |> fold f xsN
  4160 
  4161   fold f [x1, ..., xN] =
  4162     f x1 #> ... #> f xN
  4163 
  4164   (fold o fold) f [xs1, ..., xsN] =
  4165     fold f xs1 #> ... #> fold f xsN
  4166 
  4167 * Pure/library.ML: the following selectors on type 'a option are
  4168 available:
  4169 
  4170   the:               'a option -> 'a  (*partial*)
  4171   these:             'a option -> 'a  where 'a = 'b list
  4172   the_default: 'a -> 'a option -> 'a
  4173   the_list:          'a option -> 'a list
  4174 
  4175 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4176 basic operations for association lists, following natural argument
  4177 order; moreover the explicit equality predicate passed here avoids
  4178 potentially expensive polymorphic runtime equality checks.
  4179 The old functions may be expressed as follows:
  4180 
  4181   assoc = uncurry (AList.lookup (op =))
  4182   assocs = these oo AList.lookup (op =)
  4183   overwrite = uncurry (AList.update (op =)) o swap
  4184 
  4185 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
  4186 
  4187   val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
  4188   val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
  4189 
  4190 replacing make_keylist and keyfilter (occassionally used)
  4191 Naive rewrites:
  4192 
  4193   make_keylist = AList.make
  4194   keyfilter = AList.find (op =)
  4195 
  4196 * eq_fst and eq_snd now take explicit equality parameter, thus
  4197   avoiding eqtypes. Naive rewrites:
  4198 
  4199     eq_fst = eq_fst (op =)
  4200     eq_snd = eq_snd (op =)
  4201 
  4202 * Removed deprecated apl and apr (rarely used).
  4203   Naive rewrites:
  4204 
  4205     apl (n, op) =>>= curry op n
  4206     apr (op, m) =>>= fn n => op (n, m)
  4207 
  4208 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
  4209 provides a reasonably efficient light-weight implementation of sets as
  4210 lists.
  4211 
  4212 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
  4213 few new operations; existing lookup and update are now curried to
  4214 follow natural argument order (for use with fold etc.);
  4215 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
  4216 
  4217 * Pure/General: output via the Isabelle channels of
  4218 writeln/warning/error etc. is now passed through Output.output, with a
  4219 hook for arbitrary transformations depending on the print_mode
  4220 (cf. Output.add_mode -- the first active mode that provides a output
  4221 function wins).  Already formatted output may be embedded into further
  4222 text via Output.raw; the result of Pretty.string_of/str_of and derived
  4223 functions (string_of_term/cterm/thm etc.) is already marked raw to
  4224 accommodate easy composition of diagnostic messages etc.  Programmers
  4225 rarely need to care about Output.output or Output.raw at all, with
  4226 some notable exceptions: Output.output is required when bypassing the
  4227 standard channels (writeln etc.), or in token translations to produce
  4228 properly formatted results; Output.raw is required when capturing
  4229 already output material that will eventually be presented to the user
  4230 a second time.  For the default print mode, both Output.output and
  4231 Output.raw have no effect.
  4232 
  4233 * Pure/General: Output.time_accumulator NAME creates an operator ('a
  4234 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
  4235 cumulative results are displayed at the end of a batch session.
  4236 
  4237 * Pure/General: File.sysify_path and File.quote_sysify path have been
  4238 replaced by File.platform_path and File.shell_path (with appropriate
  4239 hooks).  This provides a clean interface for unusual systems where the
  4240 internal and external process view of file names are different.
  4241 
  4242 * Pure: more efficient orders for basic syntactic entities: added
  4243 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
  4244 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
  4245 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
  4246 orders now -- potential INCOMPATIBILITY for code that depends on a
  4247 particular order for Symtab.keys, Symtab.dest, etc. (consider using
  4248 Library.sort_strings on result).
  4249 
  4250 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
  4251 fold_types traverse types/terms from left to right, observing natural
  4252 argument order.  Supercedes previous foldl_XXX versions, add_frees,
  4253 add_vars etc. have been adapted as well: INCOMPATIBILITY.
  4254 
  4255 * Pure: name spaces have been refined, with significant changes of the
  4256 internal interfaces -- INCOMPATIBILITY.  Renamed cond_extern(_table)
  4257 to extern(_table).  The plain name entry path is superceded by a
  4258 general 'naming' context, which also includes the 'policy' to produce
  4259 a fully qualified name and external accesses of a fully qualified
  4260 name; NameSpace.extend is superceded by context dependent
  4261 Sign.declare_name.  Several theory and proof context operations modify
  4262 the naming context.  Especially note Theory.restore_naming and
  4263 ProofContext.restore_naming to get back to a sane state; note that
  4264 Theory.add_path is no longer sufficient to recover from
  4265 Theory.absolute_path in particular.
  4266 
  4267 * Pure: new flags short_names (default false) and unique_names
  4268 (default true) for controlling output of qualified names.  If
  4269 short_names is set, names are printed unqualified.  If unique_names is
  4270 reset, the name prefix is reduced to the minimum required to achieve
  4271 the original result when interning again, even if there is an overlap
  4272 with earlier declarations.
  4273 
  4274 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
  4275 now 'extend', and 'merge' gets an additional Pretty.pp argument
  4276 (useful for printing error messages).  INCOMPATIBILITY.
  4277 
  4278 * Pure: major reorganization of the theory context.  Type Sign.sg and
  4279 Theory.theory are now identified, referring to the universal
  4280 Context.theory (see Pure/context.ML).  Actual signature and theory
  4281 content is managed as theory data.  The old code and interfaces were
  4282 spread over many files and structures; the new arrangement introduces
  4283 considerable INCOMPATIBILITY to gain more clarity:
  4284 
  4285   Context -- theory management operations (name, identity, inclusion,
  4286     parents, ancestors, merge, etc.), plus generic theory data;
  4287 
  4288   Sign -- logical signature and syntax operations (declaring consts,
  4289     types, etc.), plus certify/read for common entities;
  4290 
  4291   Theory -- logical theory operations (stating axioms, definitions,
  4292     oracles), plus a copy of logical signature operations (consts,
  4293     types, etc.); also a few basic management operations (Theory.copy,
  4294     Theory.merge, etc.)
  4295 
  4296 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
  4297 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
  4298 for convenience -- they merely return the theory.
  4299 
  4300 * Pure: type Type.tsig is superceded by theory in most interfaces.
  4301 
  4302 * Pure: the Isar proof context type is already defined early in Pure
  4303 as Context.proof (note that ProofContext.context and Proof.context are
  4304 aliases, where the latter is the preferred name).  This enables other
  4305 Isabelle components to refer to that type even before Isar is present.
  4306 
  4307 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
  4308 typeK, constK, axiomK, oracleK), but provide explicit operations for
  4309 any of these kinds.  For example, Sign.intern typeK is now
  4310 Sign.intern_type, Theory.hide_space Sign.typeK is now
  4311 Theory.hide_types.  Also note that former
  4312 Theory.hide_classes/types/consts are now
  4313 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
  4314 internalize their arguments!  INCOMPATIBILITY.
  4315 
  4316 * Pure: get_thm interface (of PureThy and ProofContext) expects
  4317 datatype thmref (with constructors Name and NameSelection) instead of
  4318 plain string -- INCOMPATIBILITY;
  4319 
  4320 * Pure: cases produced by proof methods specify options, where NONE
  4321 means to remove case bindings -- INCOMPATIBILITY in
  4322 (RAW_)METHOD_CASES.
  4323 
  4324 * Pure: the following operations retrieve axioms or theorems from a
  4325 theory node or theory hierarchy, respectively:
  4326 
  4327   Theory.axioms_of: theory -> (string * term) list
  4328   Theory.all_axioms_of: theory -> (string * term) list
  4329   PureThy.thms_of: theory -> (string * thm) list
  4330   PureThy.all_thms_of: theory -> (string * thm) list
  4331 
  4332 * Pure: print_tac now outputs the goal through the trace channel.
  4333 
  4334 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
  4335 Reference Toplevel.debug (default false) controls detailed printing
  4336 and tracing of low-level exceptions; Toplevel.profiling (default 0)
  4337 controls execution profiling -- set to 1 for time and 2 for space
  4338 (both increase the runtime).
  4339 
  4340 * Isar session: The initial use of ROOT.ML is now always timed,
  4341 i.e. the log will show the actual process times, in contrast to the
  4342 elapsed wall-clock time that the outer shell wrapper produces.
  4343 
  4344 * Simplifier: improved handling of bound variables (nameless
  4345 representation, avoid allocating new strings).  Simprocs that invoke
  4346 the Simplifier recursively should use Simplifier.inherit_bounds to
  4347 avoid local name clashes.  Failure to do so produces warnings
  4348 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
  4349 for further details.
  4350 
  4351 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
  4352 bindings for all theorems stored within a given theory; this may help
  4353 in porting non-Isar theories to Isar ones, while keeping ML proof
  4354 scripts for the time being.
  4355 
  4356 * ML operator HTML.with_charset specifies the charset begin used for
  4357 generated HTML files.  For example:
  4358 
  4359   HTML.with_charset "utf-8" use_thy "Hebrew";
  4360   HTML.with_charset "utf-8" use_thy "Chinese";
  4361 
  4362 
  4363 *** System ***
  4364 
  4365 * Allow symlinks to all proper Isabelle executables (Isabelle,
  4366 isabelle, isatool etc.).
  4367 
  4368 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
  4369 isatool doc, isatool mkdir, display_drafts etc.).
  4370 
  4371 * isatool usedir: option -f allows specification of the ML file to be
  4372 used by Isabelle; default is ROOT.ML.
  4373 
  4374 * New isatool version outputs the version identifier of the Isabelle
  4375 distribution being used.
  4376 
  4377 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
  4378 (containing Boolean satisfiability problems) into Isabelle/HOL
  4379 theories.
  4380 
  4381 
  4382 
  4383 New in Isabelle2004 (April 2004)
  4384 --------------------------------
  4385 
  4386 *** General ***
  4387 
  4388 * Provers/order.ML:  new efficient reasoner for partial and linear orders.
  4389   Replaces linorder.ML.
  4390 
  4391 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
  4392   (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
  4393   (\<a>...\<z>), are now considered normal letters, and can therefore
  4394   be used anywhere where an ASCII letter (a...zA...Z) has until
  4395   now. COMPATIBILITY: This obviously changes the parsing of some
  4396   terms, especially where a symbol has been used as a binder, say
  4397   '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
  4398   as an identifier.  Fix it by inserting a space around former
  4399   symbols.  Call 'isatool fixgreek' to try to fix parsing errors in
  4400   existing theory and ML files.
  4401 
  4402 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
  4403 
  4404 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
  4405   allowed in identifiers. Similar to Greek letters \<^isub> is now considered
  4406   a normal (but invisible) letter. For multiple letter subscripts repeat
  4407   \<^isub> like this: x\<^isub>1\<^isub>2.
  4408 
  4409 * Pure: There are now sub-/superscripts that can span more than one
  4410   character. Text between \<^bsub> and \<^esub> is set in subscript in
  4411   ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
  4412   superscript. The new control characters are not identifier parts.
  4413 
  4414 * Pure: Control-symbols of the form \<^raw:...> will literally print the
  4415   content of "..." to the latex file instead of \isacntrl... . The "..."
  4416   may consist of any printable characters excluding the end bracket >.
  4417 
  4418 * Pure: Using new Isar command "finalconsts" (or the ML functions
  4419   Theory.add_finals or Theory.add_finals_i) it is now possible to
  4420   declare constants "final", which prevents their being given a definition
  4421   later.  It is useful for constants whose behaviour is fixed axiomatically
  4422   rather than definitionally, such as the meta-logic connectives.
  4423 
  4424 * Pure: 'instance' now handles general arities with general sorts
  4425   (i.e. intersections of classes),
  4426 
  4427 * Presentation: generated HTML now uses a CSS style sheet to make layout
  4428   (somewhat) independent of content. It is copied from lib/html/isabelle.css.
  4429   It can be changed to alter the colors/layout of generated pages.
  4430 
  4431 
  4432 *** Isar ***
  4433 
  4434 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
  4435   cut_tac, subgoal_tac and thin_tac:
  4436   - Now understand static (Isar) contexts.  As a consequence, users of Isar
  4437     locales are no longer forced to write Isar proof scripts.
  4438     For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
  4439     emulations.
  4440   - INCOMPATIBILITY: names of variables to be instantiated may no
  4441     longer be enclosed in quotes.  Instead, precede variable name with `?'.
  4442     This is consistent with the instantiation attribute "where".
  4443 
  4444 * Attributes "where" and "of":
  4445   - Now take type variables of instantiated theorem into account when reading
  4446     the instantiation string.  This fixes a bug that caused instantiated
  4447     theorems to have too special types in some circumstances.
  4448   - "where" permits explicit instantiations of type variables.
  4449 
  4450 * Calculation commands "moreover" and "also" no longer interfere with
  4451   current facts ("this"), admitting arbitrary combinations with "then"
  4452   and derived forms.
  4453 
  4454 * Locales:
  4455   - Goal statements involving the context element "includes" no longer
  4456     generate theorems with internal delta predicates (those ending on
  4457     "_axioms") in the premise.
  4458     Resolve particular premise with <locale>.intro to obtain old form.
  4459   - Fixed bug in type inference ("unify_frozen") that prevented mix of target
  4460     specification and "includes" elements in goal statement.
  4461   - Rule sets <locale>.intro and <locale>.axioms no longer declared as
  4462     [intro?] and [elim?] (respectively) by default.
  4463   - Experimental command for instantiation of locales in proof contexts:
  4464         instantiate <label>[<attrs>]: <loc>
  4465     Instantiates locale <loc> and adds all its theorems to the current context
  4466     taking into account their attributes.  Label and attrs are optional
  4467     modifiers, like in theorem declarations.  If present, names of
  4468     instantiated theorems are qualified with <label>, and the attributes
  4469     <attrs> are applied after any attributes these theorems might have already.
  4470       If the locale has assumptions, a chained fact of the form
  4471     "<loc> t1 ... tn" is expected from which instantiations of the parameters
  4472     are derived.  The command does not support old-style locales declared
  4473     with "locale (open)".
  4474       A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
  4475 
  4476 * HOL: Tactic emulation methods induct_tac and case_tac understand static
  4477   (Isar) contexts.
  4478 
  4479 
  4480 *** HOL ***
  4481 
  4482 * Proof import: new image HOL4 contains the imported library from
  4483   the HOL4 system with about 2500 theorems. It is imported by
  4484   replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
  4485   can be used like any other Isabelle image.  See
  4486   HOL/Import/HOL/README for more information.
  4487 
  4488 * Simplifier:
  4489   - Much improved handling of linear and partial orders.
  4490     Reasoners for linear and partial orders are set up for type classes
  4491     "linorder" and "order" respectively, and are added to the default simpset
  4492     as solvers.  This means that the simplifier can build transitivity chains
  4493     to solve goals from the assumptions.
  4494   - INCOMPATIBILITY: old proofs break occasionally.  Typically, applications
  4495     of blast or auto after simplification become unnecessary because the goal
  4496     is solved by simplification already.
  4497 
  4498 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
  4499     all proved in axiomatic type classes for semirings, rings and fields.
  4500 
  4501 * Numerics:
  4502   - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
  4503     now formalized using the Ring_and_Field theory mentioned above.
  4504   - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
  4505     than before, because now they are set up once in a generic manner.
  4506   - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
  4507     Look for the general versions in Ring_and_Field (and Power if they concern
  4508     exponentiation).
  4509 
  4510 * Type "rat" of the rational numbers is now available in HOL-Complex.
  4511 
  4512 * Records:
  4513   - Record types are now by default printed with their type abbreviation
  4514     instead of the list of all field types. This can be configured via
  4515     the reference "print_record_type_abbr".
  4516   - Simproc "record_upd_simproc" for simplification of multiple updates added
  4517     (not enabled by default).
  4518   - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
  4519     EX x. x = sel r to True (not enabled by default).
  4520   - Tactic "record_split_simp_tac" to split and simplify records added.
  4521 
  4522 * 'specification' command added, allowing for definition by
  4523   specification.  There is also an 'ax_specification' command that
  4524   introduces the new constants axiomatically.
  4525 
  4526 * arith(_tac) is now able to generate counterexamples for reals as well.
  4527 
  4528 * HOL-Algebra: new locale "ring" for non-commutative rings.
  4529 
  4530 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
  4531   definitions, thanks to Sava Krsti\'{c} and John Matthews.
  4532 
  4533 * HOL-Matrix: a first theory for matrices in HOL with an application of
  4534   matrix theory to linear programming.
  4535 
  4536 * Unions and Intersections:
  4537   The latex output syntax of UN and INT has been changed
  4538   from "\Union x \in A. B" to "\Union_{x \in A} B"
  4539   i.e. the index formulae has become a subscript.
  4540   Similarly for "\Union x. B", and for \Inter instead of \Union.
  4541 
  4542 * Unions and Intersections over Intervals:
  4543   There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
  4544   also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
  4545   like in normal math, and corresponding versions for < and for intersection.
  4546 
  4547 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
  4548   lexicographic dictonary ordering has been added as "lexord".
  4549 
  4550 * ML: the legacy theory structures Int and List have been removed. They had
  4551   conflicted with ML Basis Library structures having the same names.
  4552 
  4553 * 'refute' command added to search for (finite) countermodels.  Only works
  4554   for a fragment of HOL.  The installation of an external SAT solver is
  4555   highly recommended.  See "HOL/Refute.thy" for details.
  4556 
  4557 * 'quickcheck' command: Allows to find counterexamples by evaluating
  4558   formulae under an assignment of free variables to random values.
  4559   In contrast to 'refute', it can deal with inductive datatypes,
  4560   but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
  4561   for examples.
  4562 
  4563 
  4564 *** HOLCF ***
  4565 
  4566 * Streams now come with concatenation and are part of the HOLCF image
  4567 
  4568 
  4569 
  4570 New in Isabelle2003 (May 2003)
  4571 ------------------------------
  4572 
  4573 *** General ***
  4574 
  4575 * Provers/simplifier:
  4576 
  4577   - Completely reimplemented method simp (ML: Asm_full_simp_tac):
  4578     Assumptions are now subject to complete mutual simplification,
  4579     not just from left to right. The simplifier now preserves
  4580     the order of assumptions.
  4581 
  4582     Potential INCOMPATIBILITY:
  4583 
  4584     -- simp sometimes diverges where the old version did
  4585        not, e.g. invoking simp on the goal
  4586 
  4587         [| P (f x); y = x; f x = f y |] ==> Q
  4588 
  4589        now gives rise to the infinite reduction sequence
  4590 
  4591         P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
  4592 
  4593        Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
  4594        kind of problem.
  4595 
  4596     -- Tactics combining classical reasoner and simplification (such as auto)
  4597        are also affected by this change, because many of them rely on
  4598        simp. They may sometimes diverge as well or yield a different numbers
  4599        of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
  4600        in case of problems. Sometimes subsequent calls to the classical
  4601        reasoner will fail because a preceeding call to the simplifier too
  4602        eagerly simplified the goal, e.g. deleted redundant premises.
  4603 
  4604   - The simplifier trace now shows the names of the applied rewrite rules
  4605 
  4606   - You can limit the number of recursive invocations of the simplifier
  4607     during conditional rewriting (where the simplifie tries to solve the
  4608     conditions before applying the rewrite rule):
  4609     ML "simp_depth_limit := n"
  4610     where n is an integer. Thus you can force termination where previously
  4611     the simplifier would diverge.
  4612 
  4613   - Accepts free variables as head terms in congruence rules.  Useful in Isar.
  4614 
  4615   - No longer aborts on failed congruence proof.  Instead, the
  4616     congruence is ignored.
  4617 
  4618 * Pure: New generic framework for extracting programs from constructive
  4619   proofs. See HOL/Extraction.thy for an example instantiation, as well
  4620   as HOL/Extraction for some case studies.
  4621 
  4622 * Pure: The main goal of the proof state is no longer shown by default, only
  4623 the subgoals. This behaviour is controlled by a new flag.
  4624    PG menu: Isabelle/Isar -> Settings -> Show Main Goal
  4625 (ML: Proof.show_main_goal).
  4626 
  4627 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
  4628 rules whose conclusion matches subgoal 1:
  4629       PG menu: Isabelle/Isar -> Show me -> matching rules
  4630 The rules are ordered by how closely they match the subgoal.
  4631 In particular, rules that solve a subgoal outright are displayed first
  4632 (or rather last, the way they are printed).
  4633 (ML: ProofGeneral.print_intros())
  4634 
  4635 * Pure: New flag trace_unify_fail causes unification to print
  4636 diagnostic information (PG: in trace buffer) when it fails. This is
  4637 useful for figuring out why single step proofs like rule, erule or
  4638 assumption failed.
  4639 
  4640 * Pure: Locale specifications now produce predicate definitions
  4641 according to the body of text (covering assumptions modulo local
  4642 definitions); predicate "loc_axioms" covers newly introduced text,
  4643 while "loc" is cumulative wrt. all included locale expressions; the
  4644 latter view is presented only on export into the global theory
  4645 context; potential INCOMPATIBILITY, use "(open)" option to fall back
  4646 on the old view without predicates;
  4647 
  4648 * Pure: predefined locales "var" and "struct" are useful for sharing
  4649 parameters (as in CASL, for example); just specify something like
  4650 ``var x + var y + struct M'' as import;
  4651 
  4652 * Pure: improved thms_containing: proper indexing of facts instead of
  4653 raw theorems; check validity of results wrt. current name space;
  4654 include local facts of proof configuration (also covers active
  4655 locales), cover fixed variables in index; may use "_" in term
  4656 specification; an optional limit for the number of printed facts may
  4657 be given (the default is 40);
  4658 
  4659 * Pure: disallow duplicate fact bindings within new-style theory files
  4660 (batch-mode only);
  4661 
  4662 * Provers: improved induct method: assumptions introduced by case
  4663 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
  4664 the goal statement); "foo" still refers to all facts collectively;
  4665 
  4666 * Provers: the function blast.overloaded has been removed: all constants
  4667 are regarded as potentially overloaded, which improves robustness in exchange
  4668 for slight decrease in efficiency;
  4669 
  4670 * Provers/linorder: New generic prover for transitivity reasoning over
  4671 linear orders.  Note: this prover is not efficient!
  4672 
  4673 * Isar: preview of problems to finish 'show' now produce an error
  4674 rather than just a warning (in interactive mode);
  4675 
  4676 
  4677 *** HOL ***
  4678 
  4679 * arith(_tac)
  4680 
  4681  - Produces a counter example if it cannot prove a goal.
  4682    Note that the counter example may be spurious if the goal is not a formula
  4683    of quantifier-free linear arithmetic.
  4684    In ProofGeneral the counter example appears in the trace buffer.
  4685 
  4686  - Knows about div k and mod k where k is a numeral of type nat or int.
  4687 
  4688  - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
  4689    linear arithmetic fails. This takes account of quantifiers and divisibility.
  4690    Presburger arithmetic can also be called explicitly via presburger(_tac).
  4691 
  4692 * simp's arithmetic capabilities have been enhanced a bit: it now
  4693 takes ~= in premises into account (by performing a case split);
  4694 
  4695 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
  4696 are distributed over a sum of terms;
  4697 
  4698 * New tactic "trans_tac" and method "trans" instantiate
  4699 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
  4700 "<=", "<" and "=").
  4701 
  4702 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
  4703 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
  4704 
  4705 * 'typedef' command has new option "open" to suppress the set
  4706 definition;
  4707 
  4708 * functions Min and Max on finite sets have been introduced (theory
  4709 Finite_Set);
  4710 
  4711 * attribute [symmetric] now works for relations as well; it turns
  4712 (x,y) : R^-1 into (y,x) : R, and vice versa;
  4713 
  4714 * induct over a !!-quantified statement (say !!x1..xn):
  4715   each "case" automatically performs "fix x1 .. xn" with exactly those names.
  4716 
  4717 * Map: `empty' is no longer a constant but a syntactic abbreviation for
  4718 %x. None. Warning: empty_def now refers to the previously hidden definition
  4719 of the empty set.
  4720 
  4721 * Algebra: formalization of classical algebra.  Intended as base for
  4722 any algebraic development in Isabelle.  Currently covers group theory
  4723 (up to Sylow's theorem) and ring theory (Universal Property of
  4724 Univariate Polynomials).  Contributions welcome;
  4725 
  4726 * GroupTheory: deleted, since its material has been moved to Algebra;
  4727 
  4728 * Complex: new directory of the complex numbers with numeric constants,
  4729 nonstandard complex numbers, and some complex analysis, standard and
  4730 nonstandard (Jacques Fleuriot);
  4731 
  4732 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
  4733 
  4734 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
  4735 Fleuriot);
  4736 
  4737 * Real/HahnBanach: updated and adapted to locales;
  4738 
  4739 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
  4740 Gray and Kramer);
  4741 
  4742 * UNITY: added the Meier-Sanders theory of progress sets;
  4743 
  4744 * MicroJava: bytecode verifier and lightweight bytecode verifier
  4745 as abstract algorithms, instantiated to the JVM;
  4746 
  4747 * Bali: Java source language formalization. Type system, operational
  4748 semantics, axiomatic semantics. Supported language features:
  4749 classes, interfaces, objects,virtual methods, static methods,
  4750 static/instance fields, arrays, access modifiers, definite
  4751 assignment, exceptions.
  4752 
  4753 
  4754 *** ZF ***
  4755 
  4756 * ZF/Constructible: consistency proof for AC (Gdel's constructible
  4757 universe, etc.);
  4758 
  4759 * Main ZF: virtually all theories converted to new-style format;
  4760 
  4761 
  4762 *** ML ***
  4763 
  4764 * Pure: Tactic.prove provides sane interface for internal proofs;
  4765 omits the infamous "standard" operation, so this is more appropriate
  4766 than prove_goalw_cterm in many situations (e.g. in simprocs);
  4767 
  4768 * Pure: improved error reporting of simprocs;
  4769 
  4770 * Provers: Simplifier.simproc(_i) provides sane interface for setting
  4771 up simprocs;
  4772 
  4773 
  4774 *** Document preparation ***
  4775 
  4776 * uses \par instead of \\ for line breaks in theory text. This may
  4777 shift some page breaks in large documents. To get the old behaviour
  4778 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
  4779 
  4780 * minimized dependencies of isabelle.sty and isabellesym.sty on
  4781 other packages
  4782 
  4783 * \<euro> now needs package babel/greek instead of marvosym (which
  4784 broke \Rightarrow)
  4785 
  4786 * normal size for \<zero>...\<nine> (uses \mathbf instead of
  4787 textcomp package)
  4788 
  4789 
  4790 
  4791 New in Isabelle2002 (March 2002)
  4792 --------------------------------
  4793 
  4794 *** Document preparation ***
  4795 
  4796 * greatly simplified document preparation setup, including more
  4797 graceful interpretation of isatool usedir -i/-d/-D options, and more
  4798 instructive isatool mkdir; users should basically be able to get
  4799 started with "isatool mkdir HOL Test && isatool make"; alternatively,
  4800 users may run a separate document processing stage manually like this:
  4801 "isatool usedir -D output HOL Test && isatool document Test/output";
  4802 
  4803 * theory dependency graph may now be incorporated into documents;
  4804 isatool usedir -g true will produce session_graph.eps/.pdf for use
  4805 with \includegraphics of LaTeX;
  4806 
  4807 * proper spacing of consecutive markup elements, especially text
  4808 blocks after section headings;
  4809 
  4810 * support bold style (for single symbols only), input syntax is like
  4811 this: "\<^bold>\<alpha>" or "\<^bold>A";
  4812 
  4813 * \<bullet> is now output as bold \cdot by default, which looks much
  4814 better in printed text;
  4815 
  4816 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
  4817 note that these symbols are currently unavailable in Proof General /
  4818 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
  4819 
  4820 * isatool latex no longer depends on changed TEXINPUTS, instead
  4821 isatool document copies the Isabelle style files to the target
  4822 location;
  4823 
  4824 
  4825 *** Isar ***
  4826 
  4827 * Pure/Provers: improved proof by cases and induction;
  4828   - 'case' command admits impromptu naming of parameters (such as
  4829     "case (Suc n)");
  4830   - 'induct' method divinates rule instantiation from the inductive
  4831     claim; no longer requires excessive ?P bindings for proper
  4832     instantiation of cases;
  4833   - 'induct' method properly enumerates all possibilities of set/type
  4834     rules; as a consequence facts may be also passed through *type*
  4835     rules without further ado;
  4836   - 'induct' method now derives symbolic cases from the *rulified*
  4837     rule (before it used to rulify cases stemming from the internal
  4838     atomized version); this means that the context of a non-atomic
  4839     statement becomes is included in the hypothesis, avoiding the
  4840     slightly cumbersome show "PROP ?case" form;
  4841   - 'induct' may now use elim-style induction rules without chaining
  4842     facts, using ``missing'' premises from the goal state; this allows
  4843     rules stemming from inductive sets to be applied in unstructured
  4844     scripts, while still benefitting from proper handling of non-atomic
  4845     statements; NB: major inductive premises need to be put first, all
  4846     the rest of the goal is passed through the induction;
  4847   - 'induct' proper support for mutual induction involving non-atomic
  4848     rule statements (uses the new concept of simultaneous goals, see
  4849     below);
  4850   - append all possible rule selections, but only use the first
  4851     success (no backtracking);
  4852   - removed obsolete "(simplified)" and "(stripped)" options of methods;
  4853   - undeclared rule case names default to numbers 1, 2, 3, ...;
  4854   - added 'print_induct_rules' (covered by help item in recent Proof
  4855     General versions);
  4856   - moved induct/cases attributes to Pure, methods to Provers;
  4857   - generic method setup instantiated for FOL and HOL;
  4858 
  4859 * Pure: support multiple simultaneous goal statements, for example
  4860 "have a: A and b: B" (same for 'theorem' etc.); being a pure
  4861 meta-level mechanism, this acts as if several individual goals had
  4862 been stated separately; in particular common proof methods need to be
  4863 repeated in order to cover all claims; note that a single elimination
  4864 step is *not* sufficient to establish the two conjunctions, so this
  4865 fails:
  4866 
  4867   assume "A & B" then have A and B ..   (*".." fails*)
  4868 
  4869 better use "obtain" in situations as above; alternative refer to
  4870 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
  4871 
  4872 * Pure: proper integration with ``locales''; unlike the original
  4873 version by Florian Kammller, Isar locales package high-level proof
  4874 contexts rather than raw logical ones (e.g. we admit to include
  4875 attributes everywhere); operations on locales include merge and
  4876 rename; support for implicit arguments (``structures''); simultaneous
  4877 type-inference over imports and text; see also HOL/ex/Locales.thy for
  4878 some examples;
  4879 
  4880 * Pure: the following commands have been ``localized'', supporting a
  4881 target locale specification "(in name)": 'lemma', 'theorem',
  4882 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
  4883 stored both within the locale and at the theory level (exported and
  4884 qualified by the locale name);
  4885 
  4886 * Pure: theory goals may now be specified in ``long'' form, with
  4887 ad-hoc contexts consisting of arbitrary locale elements. for example
  4888 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
  4889 definitions may be given, too); the result is a meta-level rule with
  4890 the context elements being discharged in the obvious way;
  4891 
  4892 * Pure: new proof command 'using' allows to augment currently used
  4893 facts after a goal statement ('using' is syntactically analogous to
  4894 'apply', but acts on the goal's facts only); this allows chained facts
  4895 to be separated into parts given before and after a claim, as in
  4896 ``from a and b have C using d and e <proof>'';
  4897 
  4898 * Pure: renamed "antecedent" case to "rule_context";
  4899 
  4900 * Pure: new 'judgment' command records explicit information about the
  4901 object-logic embedding (used by several tools internally); no longer
  4902 use hard-wired "Trueprop";
  4903 
  4904 * Pure: added 'corollary' command;
  4905 
  4906 * Pure: fixed 'token_translation' command;
  4907 
  4908 * Pure: removed obsolete 'exported' attribute;
  4909 
  4910 * Pure: dummy pattern "_" in is/let is now automatically lifted over
  4911 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
  4912 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
  4913 
  4914 * Pure: method 'atomize' presents local goal premises as object-level
  4915 statements (atomic meta-level propositions); setup controlled via
  4916 rewrite rules declarations of 'atomize' attribute; example
  4917 application: 'induct' method with proper rule statements in improper
  4918 proof *scripts*;
  4919 
  4920 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
  4921 now consider the syntactic context of assumptions, giving a better
  4922 chance to get type-inference of the arguments right (this is
  4923 especially important for locales);
  4924 
  4925 * Pure: "sorry" no longer requires quick_and_dirty in interactive
  4926 mode;
  4927 
  4928 * Pure/obtain: the formal conclusion "thesis", being marked as
  4929 ``internal'', may no longer be reference directly in the text;
  4930 potential INCOMPATIBILITY, may need to use "?thesis" in rare
  4931 situations;
  4932 
  4933 * Pure: generic 'sym' attribute which declares a rule both as pure
  4934 'elim?' and for the 'symmetric' operation;
  4935 
  4936 * Pure: marginal comments ``--'' may now occur just anywhere in the
  4937 text; the fixed correlation with particular command syntax has been
  4938 discontinued;
  4939 
  4940 * Pure: new method 'rules' is particularly well-suited for proof
  4941 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
  4942 but often produces more compact proof terms with less detours;
  4943 
  4944 * Pure/Provers/classical: simplified integration with pure rule
  4945 attributes and methods; the classical "intro?/elim?/dest?"
  4946 declarations coincide with the pure ones; the "rule" method no longer
  4947 includes classically swapped intros; "intro" and "elim" methods no
  4948 longer pick rules from the context; also got rid of ML declarations
  4949 AddXIs/AddXEs/AddXDs; all of this has some potential for
  4950 INCOMPATIBILITY;
  4951 
  4952 * Provers/classical: attribute 'swapped' produces classical inversions
  4953 of introduction rules;
  4954 
  4955 * Provers/simplifier: 'simplified' attribute may refer to explicit
  4956 rules instead of full simplifier context; 'iff' attribute handles
  4957 conditional rules;
  4958 
  4959 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
  4960 
  4961 * HOL: 'recdef' now fails on unfinished automated proofs, use
  4962 "(permissive)" option to recover old behavior;
  4963 
  4964 * HOL: 'inductive' no longer features separate (collective) attributes
  4965 for 'intros' (was found too confusing);
  4966 
  4967 * HOL: properly declared induction rules less_induct and
  4968 wf_induct_rule;
  4969 
  4970 
  4971 *** HOL ***
  4972 
  4973 * HOL: moved over to sane numeral syntax; the new policy is as
  4974 follows:
  4975 
  4976   - 0 and 1 are polymorphic constants, which are defined on any
  4977   numeric type (nat, int, real etc.);
  4978 
  4979   - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  4980   binary representation internally;
  4981 
  4982   - type nat has special constructor Suc, and generally prefers Suc 0
  4983   over 1::nat and Suc (Suc 0) over 2::nat;
  4984 
  4985 This change may cause significant problems of INCOMPATIBILITY; here
  4986 are some hints on converting existing sources:
  4987 
  4988   - due to the new "num" token, "-0" and "-1" etc. are now atomic
  4989   entities, so expressions involving "-" (unary or binary minus) need
  4990   to be spaced properly;
  4991 
  4992   - existing occurrences of "1" may need to be constraint "1::nat" or
  4993   even replaced by Suc 0; similar for old "2";
  4994 
  4995   - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
  4996 
  4997   - remove all special provisions on numerals in proofs;
  4998 
  4999 * HOL: simp rules nat_number expand numerals on nat to Suc/0
  5000 representation (depends on bin_arith_simps in the default context);
  5001 
  5002 * HOL: symbolic syntax for x^2 (numeral 2);
  5003 
  5004 * HOL: the class of all HOL types is now called "type" rather than
  5005 "term"; INCOMPATIBILITY, need to adapt references to this type class
  5006 in axclass/classes, instance/arities, and (usually rare) occurrences
  5007 in typings (of consts etc.); internally the class is called
  5008 "HOL.type", ML programs should refer to HOLogic.typeS;
  5009 
  5010 * HOL/record package improvements:
  5011   - new derived operations "fields" to build a partial record section,
  5012     "extend" to promote a fixed record to a record scheme, and
  5013     "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
  5014     declared as simp by default;
  5015   - shared operations ("more", "fields", etc.) now need to be always
  5016     qualified) --- potential INCOMPATIBILITY;
  5017   - removed "make_scheme" operations (use "make" with "extend") --
  5018     INCOMPATIBILITY;
  5019   - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  5020   - provides cases/induct rules for use with corresponding Isar
  5021     methods (for concrete records, record schemes, concrete more
  5022     parts, and schematic more parts -- in that order);
  5023   - internal definitions directly based on a light-weight abstract
  5024     theory of product types over typedef rather than datatype;
  5025 
  5026 * HOL: generic code generator for generating executable ML code from
  5027 specifications; specific support for HOL constructs such as inductive
  5028 datatypes and sets, as well as recursive functions; can be invoked
  5029 via 'generate_code' theory section;
  5030 
  5031 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
  5032 
  5033 * HOL: consolidated and renamed several theories.  In particular:
  5034         Ord.thy has been absorbed into HOL.thy
  5035         String.thy has been absorbed into List.thy
  5036 
  5037 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
  5038 (beware of argument permutation!);
  5039 
  5040 * HOL: linorder_less_split superseded by linorder_cases;
  5041 
  5042 * HOL/List: "nodups" renamed to "distinct";
  5043 
  5044 * HOL: added "The" definite description operator; move Hilbert's "Eps"
  5045 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
  5046   - Ex_def has changed, now need to use some_eq_ex
  5047 
  5048 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
  5049 in this (rare) case use:
  5050 
  5051   delSWrapper "split_all_tac"
  5052   addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
  5053 
  5054 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
  5055 MAY FAIL;
  5056 
  5057 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
  5058 Isabelle's type classes, ^ on functions and relations has too general
  5059 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
  5060 necessary to attach explicit type constraints;
  5061 
  5062 * HOL/Relation: the prefix name of the infix "O" has been changed from
  5063 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
  5064 renamed accordingly (eg "compI" -> "rel_compI").
  5065 
  5066 * HOL: syntax translations now work properly with numerals and records
  5067 expressions;
  5068 
  5069 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
  5070 of "lam" -- INCOMPATIBILITY;
  5071 
  5072 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
  5073 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
  5074 renamed "Product_Type.unit";
  5075 
  5076 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
  5077 
  5078 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
  5079 the "cases" method);
  5080 
  5081 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
  5082 Florian Kammller);
  5083 
  5084 * HOL/IMP: updated and converted to new-style theory format; several
  5085 parts turned into readable document, with proper Isar proof texts and
  5086 some explanations (by Gerwin Klein);
  5087 
  5088 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
  5089 
  5090 * HOL-Hyperreal is now a logic image;
  5091 
  5092 
  5093 *** HOLCF ***
  5094 
  5095 * Isar: consts/constdefs supports mixfix syntax for continuous
  5096 operations;
  5097 
  5098 * Isar: domain package adapted to new-style theory format, e.g. see
  5099 HOLCF/ex/Dnat.thy;
  5100 
  5101 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
  5102 potential INCOMPATIBILITY; now use plain induct_tac instead of former
  5103 lift.induct_tac, always use UU instead of Undef;
  5104 
  5105 * HOLCF/IMP: updated and converted to new-style theory;
  5106 
  5107 
  5108 *** ZF ***
  5109 
  5110 * Isar: proper integration of logic-specific tools and packages,
  5111 including theory commands '(co)inductive', '(co)datatype',
  5112 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
  5113 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
  5114 
  5115 * theory Main no longer includes AC; for the Axiom of Choice, base
  5116 your theory on Main_ZFC;
  5117 
  5118 * the integer library now covers quotients and remainders, with many
  5119 laws relating division to addition, multiplication, etc.;
  5120 
  5121 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
  5122 typeless version of the formalism;
  5123 
  5124 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
  5125 format;
  5126 
  5127 * ZF/Induct: new directory for examples of inductive definitions,
  5128 including theory Multiset for multiset orderings; converted to
  5129 new-style theory format;
  5130 
  5131 * ZF: many new theorems about lists, ordinals, etc.;
  5132 
  5133 
  5134 *** General ***
  5135 
  5136 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
  5137 variable proof controls level of detail: 0 = no proofs (only oracle
  5138 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
  5139 also ref manual for further ML interfaces;
  5140 
  5141 * Pure/axclass: removed obsolete ML interface
  5142 goal_subclass/goal_arity;
  5143 
  5144 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
  5145 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
  5146 separate tokens, so expressions involving minus need to be spaced
  5147 properly;
  5148 
  5149 * Pure/syntax: support non-oriented infixes, using keyword "infix"
  5150 rather than "infixl" or "infixr";
  5151 
  5152 * Pure/syntax: concrete syntax for dummy type variables admits genuine
  5153 sort constraint specifications in type inference; e.g. "x::_::foo"
  5154 ensures that the type of "x" is of sort "foo" (but not necessarily a
  5155 type variable);
  5156 
  5157 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
  5158 control output of nested => (types); the default behavior is
  5159 "type_brackets";
  5160 
  5161 * Pure/syntax: builtin parse translation for "_constify" turns valued
  5162 tokens into AST constants;
  5163 
  5164 * Pure/syntax: prefer later declarations of translations and print
  5165 translation functions; potential INCOMPATIBILITY: need to reverse
  5166 multiple declarations for same syntax element constant;
  5167 
  5168 * Pure/show_hyps reset by default (in accordance to existing Isar
  5169 practice);
  5170 
  5171 * Provers/classical: renamed addaltern to addafter, addSaltern to
  5172 addSafter;
  5173 
  5174 * Provers/clasimp: ``iff'' declarations now handle conditional rules
  5175 as well;
  5176 
  5177 * system: tested support for MacOS X; should be able to get Isabelle +
  5178 Proof General to work in a plain Terminal after installing Poly/ML
  5179 (e.g. from the Isabelle distribution area) and GNU bash alone
  5180 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
  5181 support requires further installations, e.g. from
  5182 http://fink.sourceforge.net/);
  5183 
  5184 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
  5185 
  5186 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
  5187 of 40 MB), cf. ML_OPTIONS;
  5188 
  5189 * system: Proof General keywords specification is now part of the
  5190 Isabelle distribution (see etc/isar-keywords.el);
  5191 
  5192 * system: support for persistent Proof General sessions (refrain from
  5193 outdating all loaded theories on startup); user may create writable
  5194 logic images like this: ``isabelle -q HOL Test'';
  5195 
  5196 * system: smart selection of Isabelle process versus Isabelle
  5197 interface, accommodates case-insensitive file systems (e.g. HFS+); may
  5198 run both "isabelle" and "Isabelle" even if file names are badly
  5199 damaged (executable inspects the case of the first letter of its own
  5200 name); added separate "isabelle-process" and "isabelle-interface";
  5201 
  5202 * system: refrain from any attempt at filtering input streams; no
  5203 longer support ``8bit'' encoding of old isabelle font, instead proper
  5204 iso-latin characters may now be used; the related isatools
  5205 "symbolinput" and "nonascii" have disappeared as well;
  5206 
  5207 * system: removed old "xterm" interface (the print modes "xterm" and
  5208 "xterm_color" are still available for direct use in a suitable
  5209 terminal);
  5210 
  5211 
  5212 
  5213 New in Isabelle99-2 (February 2001)
  5214 -----------------------------------
  5215 
  5216 *** Overview of INCOMPATIBILITIES ***
  5217 
  5218 * HOL: please note that theories in the Library and elsewhere often use the
  5219 new-style (Isar) format; to refer to their theorems in an ML script you must
  5220 bind them to ML identifers by e.g.      val thm_name = thm "thm_name";
  5221 
  5222 * HOL: inductive package no longer splits induction rule aggressively,
  5223 but only as far as specified by the introductions given; the old
  5224 format may be recovered via ML function complete_split_rule or attribute
  5225 'split_rule (complete)';
  5226 
  5227 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
  5228 gfp_Tarski to gfp_unfold;
  5229 
  5230 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
  5231 
  5232 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
  5233 relation); infix "^^" has been renamed "``"; infix "``" has been
  5234 renamed "`"; "univalent" has been renamed "single_valued";
  5235 
  5236 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
  5237 operation;
  5238 
  5239 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
  5240 
  5241 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
  5242 
  5243 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
  5244 consequence, it is no longer monotonic wrt. the local goal context
  5245 (which is now passed through the inductive cases);
  5246 
  5247 * Document preparation: renamed standard symbols \<ll> to \<lless> and
  5248 \<gg> to \<ggreater>;
  5249 
  5250 
  5251 *** Document preparation ***
  5252 
  5253 * \isabellestyle{NAME} selects version of Isabelle output (currently
  5254 available: are "it" for near math-mode best-style output, "sl" for
  5255 slanted text style, and "tt" for plain type-writer; if no
  5256 \isabellestyle command is given, output is according to slanted
  5257 type-writer);
  5258 
  5259 * support sub/super scripts (for single symbols only), input syntax is
  5260 like this: "A\<^sup>*" or "A\<^sup>\<star>";
  5261 
  5262 * some more standard symbols; see Appendix A of the system manual for
  5263 the complete list of symbols defined in isabellesym.sty;
  5264 
  5265 * improved isabelle style files; more abstract symbol implementation
  5266 (should now use \isamath{...} and \isatext{...} in custom symbol
  5267 definitions);
  5268 
  5269 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
  5270 state; Note that presentation of goal states does not conform to
  5271 actual human-readable proof documents.  Please do not include goal
  5272 states into document output unless you really know what you are doing!
  5273 
  5274 * proper indentation of antiquoted output with proportional LaTeX
  5275 fonts;
  5276 
  5277 * no_document ML operator temporarily disables LaTeX document
  5278 generation;
  5279 
  5280 * isatool unsymbolize tunes sources for plain ASCII communication;
  5281 
  5282 
  5283 *** Isar ***
  5284 
  5285 * Pure: Isar now suffers initial goal statements to contain unbound
  5286 schematic variables (this does not conform to actual readable proof
  5287 documents, due to unpredictable outcome and non-compositional proof
  5288 checking); users who know what they are doing may use schematic goals
  5289 for Prolog-style synthesis of proven results;
  5290 
  5291 * Pure: assumption method (an implicit finishing) now handles actual
  5292 rules as well;
  5293 
  5294 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
  5295 initial goal, declare "that" only as Pure intro (only for single
  5296 steps); the "that" rule assumption may now be involved in implicit
  5297 finishing, thus ".." becomes a feasible for trivial obtains;
  5298 
  5299 * Pure: default proof step now includes 'intro_classes'; thus trivial
  5300 instance proofs may be performed by "..";
  5301 
  5302 * Pure: ?thesis / ?this / "..." now work for pure meta-level
  5303 statements as well;
  5304 
  5305 * Pure: more robust selection of calculational rules;
  5306 
  5307 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
  5308 rule (as well as the assumption rule);
  5309 
  5310 * Pure: 'thm_deps' command visualizes dependencies of theorems and
  5311 lemmas, using the graph browser tool;
  5312 
  5313 * Pure: predict failure of "show" in interactive mode;
  5314 
  5315 * Pure: 'thms_containing' now takes actual terms as arguments;
  5316 
  5317 * HOL: improved method 'induct' --- now handles non-atomic goals
  5318 (potential INCOMPATIBILITY); tuned error handling;
  5319 
  5320 * HOL: cases and induct rules now provide explicit hints about the
  5321 number of facts to be consumed (0 for "type" and 1 for "set" rules);
  5322 any remaining facts are inserted into the goal verbatim;
  5323 
  5324 * HOL: local contexts (aka cases) may now contain term bindings as
  5325 well; the 'cases' and 'induct' methods new provide a ?case binding for
  5326 the result to be shown in each case;
  5327 
  5328 * HOL: added 'recdef_tc' command;
  5329 
  5330 * isatool convert assists in eliminating legacy ML scripts;
  5331 
  5332 
  5333 *** HOL ***
  5334 
  5335 * HOL/Library: a collection of generic theories to be used together
  5336 with main HOL; the theory loader path already includes this directory
  5337 by default; the following existing theories have been moved here:
  5338 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
  5339 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
  5340 
  5341 * HOL/Unix: "Some aspects of Unix file-system security", a typical
  5342 modelling and verification task performed in Isabelle/HOL +
  5343 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
  5344 
  5345 * HOL/Algebra: special summation operator SUM no longer exists, it has
  5346 been replaced by setsum; infix 'assoc' now has priority 50 (like
  5347 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
  5348 'domain', this makes the theory consistent with mathematical
  5349 literature;
  5350 
  5351 * HOL basics: added overloaded operations "inverse" and "divide"
  5352 (infix "/"), syntax for generic "abs" operation, generic summation
  5353 operator \<Sum>;
  5354 
  5355 * HOL/typedef: simplified package, provide more useful rules (see also
  5356 HOL/subset.thy);
  5357 
  5358 * HOL/datatype: induction rule for arbitrarily branching datatypes is
  5359 now expressed as a proper nested rule (old-style tactic scripts may
  5360 require atomize_strip_tac to cope with non-atomic premises);
  5361 
  5362 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
  5363 to "split_conv" (old name still available for compatibility);
  5364 
  5365 * HOL: improved concrete syntax for strings (e.g. allows translation
  5366 rules with string literals);
  5367 
  5368 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
  5369  and Fleuriot's mechanization of analysis, including the transcendental
  5370  functions for the reals;
  5371 
  5372 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
  5373 
  5374 
  5375 *** CTT ***
  5376 
  5377 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
  5378 "lam" is displayed as TWO lambda-symbols
  5379 
  5380 * CTT: theory Main now available, containing everything (that is, Bool
  5381 and Arith);
  5382 
  5383 
  5384 *** General ***
  5385 
  5386 * Pure: the Simplifier has been implemented properly as a derived rule
  5387 outside of the actual kernel (at last!); the overall performance
  5388 penalty in practical applications is about 50%, while reliability of
  5389 the Isabelle inference kernel has been greatly improved;
  5390 
  5391 * print modes "brackets" and "no_brackets" control output of nested =>
  5392 (types) and ==> (props); the default behaviour is "brackets";
  5393 
  5394 * Provers: fast_tac (and friends) now handle actual object-logic rules
  5395 as assumptions as well;
  5396 
  5397 * system: support Poly/ML 4.0;
  5398 
  5399 * system: isatool install handles KDE version 1 or 2;
  5400 
  5401 
  5402 
  5403 New in Isabelle99-1 (October 2000)
  5404 ----------------------------------
  5405 
  5406 *** Overview of INCOMPATIBILITIES ***
  5407 
  5408 * HOL: simplification of natural numbers is much changed; to partly
  5409 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
  5410 issue the following ML commands:
  5411 
  5412   Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  5413   Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
  5414 
  5415 * HOL: simplification no longer dives into case-expressions; this is
  5416 controlled by "t.weak_case_cong" for each datatype t;
  5417 
  5418 * HOL: nat_less_induct renamed to less_induct;
  5419 
  5420 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
  5421 fixsome to patch .thy and .ML sources automatically;
  5422 
  5423   select_equality  -> some_equality
  5424   select_eq_Ex     -> some_eq_ex
  5425   selectI2EX       -> someI2_ex
  5426   selectI2         -> someI2
  5427   selectI          -> someI
  5428   select1_equality -> some1_equality
  5429   Eps_sym_eq       -> some_sym_eq_trivial
  5430   Eps_eq           -> some_eq_trivial
  5431 
  5432 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
  5433 
  5434 * HOL: removed obsolete theorem binding expand_if (refer to split_if
  5435 instead);
  5436 
  5437 * HOL: the recursion equations generated by 'recdef' are now called
  5438 f.simps instead of f.rules;
  5439 
  5440 * HOL: qed_spec_mp now also handles bounded ALL as well;
  5441 
  5442 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
  5443 sometimes be needed;
  5444 
  5445 * HOL: the constant for "f``x" is now "image" rather than "op ``";
  5446 
  5447 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
  5448 
  5449 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
  5450 product is now "<*>" instead of "Times"; the lexicographic product is
  5451 now "<*lex*>" instead of "**";
  5452 
  5453 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
  5454 of main HOL, but was unused); better use HOL's datatype package;
  5455 
  5456 * HOL: removed "symbols" syntax for constant "override" of theory Map;
  5457 the old syntax may be recovered as follows:
  5458 
  5459   syntax (symbols)
  5460     override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
  5461       (infixl "\\<oplus>" 100)
  5462 
  5463 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5464 
  5465 * HOL/ML: even fewer consts are declared as global (see theories Ord,
  5466 Lfp, Gfp, WF); this only affects ML packages that refer to const names
  5467 internally;
  5468 
  5469 * HOL and ZF: syntax for quotienting wrt an equivalence relation
  5470 changed from A/r to A//r;
  5471 
  5472 * ZF: new treatment of arithmetic (nat & int) may break some old
  5473 proofs;
  5474 
  5475 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
  5476 rulify -> rule_format, elimify -> elim_format, ...);
  5477 
  5478 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5479 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
  5480 should have to change intro!! to intro? only); replaced "delrule" by
  5481 "rule del";
  5482 
  5483 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
  5484 
  5485 * Provers: strengthened force_tac by using new first_best_tac;
  5486 
  5487 * LaTeX document preparation: several changes of isabelle.sty (see
  5488 lib/texinputs);
  5489 
  5490 
  5491 *** Document preparation ***
  5492 
  5493 * formal comments (text blocks etc.) in new-style theories may now
  5494 contain antiquotations of thm/prop/term/typ/text to be presented
  5495 according to latex print mode; concrete syntax is like this:
  5496 @{term[show_types] "f(x) = a + x"};
  5497 
  5498 * isatool mkdir provides easy setup of Isabelle session directories,
  5499 including proper document sources;
  5500 
  5501 * generated LaTeX sources are now deleted after successful run
  5502 (isatool document -c); may retain a copy somewhere else via -D option
  5503 of isatool usedir;
  5504 
  5505 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
  5506 style files, achieving self-contained LaTeX sources and simplifying
  5507 LaTeX debugging;
  5508 
  5509 * old-style theories now produce (crude) LaTeX output as well;
  5510 
  5511 * browser info session directories are now self-contained (may be put
  5512 on WWW server seperately); improved graphs of nested sessions; removed
  5513 graph for 'all sessions';
  5514 
  5515 * several improvements in isabelle style files; \isabellestyle{it}
  5516 produces fake math mode output; \isamarkupheader is now \section by
  5517 default; see lib/texinputs/isabelle.sty etc.;
  5518 
  5519 
  5520 *** Isar ***
  5521 
  5522 * Isar/Pure: local results and corresponding term bindings are now
  5523 subject to Hindley-Milner polymorphism (similar to ML); this
  5524 accommodates incremental type-inference very nicely;
  5525 
  5526 * Isar/Pure: new derived language element 'obtain' supports
  5527 generalized existence reasoning;
  5528 
  5529 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
  5530 support accumulation of results, without applying any rules yet;
  5531 useful to collect intermediate results without explicit name
  5532 references, and for use with transitivity rules with more than 2
  5533 premises;
  5534 
  5535 * Isar/Pure: scalable support for case-analysis type proofs: new
  5536 'case' language element refers to local contexts symbolically, as
  5537 produced by certain proof methods; internally, case names are attached
  5538 to theorems as "tags";
  5539 
  5540 * Isar/Pure: theory command 'hide' removes declarations from
  5541 class/type/const name spaces;
  5542 
  5543 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
  5544 indicate potential overloading;
  5545 
  5546 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
  5547 
  5548 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
  5549 "{a,b,c}" instead of {a,b,c};
  5550 
  5551 * Isar/Pure now provides its own version of intro/elim/dest
  5552 attributes; useful for building new logics, but beware of confusion
  5553 with the version in Provers/classical;
  5554 
  5555 * Isar/Pure: the local context of (non-atomic) goals is provided via
  5556 case name 'antecedent';
  5557 
  5558 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
  5559 to the current context is now done automatically);
  5560 
  5561 * Isar/Pure: theory command 'method_setup' provides a simple interface
  5562 for definining proof methods in ML;
  5563 
  5564 * Isar/Provers: intro/elim/dest attributes changed; renamed
  5565 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
  5566 most cases, one should have to change intro!! to intro? only);
  5567 replaced "delrule" by "rule del";
  5568 
  5569 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
  5570 'symmetric' attribute (the latter supercedes [RS sym]);
  5571 
  5572 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
  5573 method modifier); 'simp' method: 'only:' modifier removes loopers as
  5574 well (including splits);
  5575 
  5576 * Isar/Provers: Simplifier and Classical methods now support all kind
  5577 of modifiers used in the past, including 'cong', 'iff', etc.
  5578 
  5579 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
  5580 of Simplifier and Classical reasoner);
  5581 
  5582 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
  5583 now support named cases; major packages (inductive, datatype, primrec,
  5584 recdef) support case names and properly name parameters;
  5585 
  5586 * Isar/HOL: new transitivity rules for substitution in inequalities --
  5587 monotonicity conditions are extracted to be proven at end of
  5588 calculations;
  5589 
  5590 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
  5591 method anyway;
  5592 
  5593 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
  5594 split_if split_if_asm; datatype package provides theorems foo.splits =
  5595 foo.split foo.split_asm for each datatype;
  5596 
  5597 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
  5598 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
  5599 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
  5600 use "(cases (simplified))" method in proper proof texts);
  5601 
  5602 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
  5603 
  5604 * Isar: names of theorems etc. may be natural numbers as well;
  5605 
  5606 * Isar: 'pr' command: optional arguments for goals_limit and
  5607 ProofContext.prems_limit; no longer prints theory contexts, but only
  5608 proof states;
  5609 
  5610 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
  5611 additional print modes to be specified; e.g. "pr(latex)" will print
  5612 proof state according to the Isabelle LaTeX style;
  5613 
  5614 * Isar: improved support for emulating tactic scripts, including proof
  5615 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
  5616 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
  5617 (for HOL datatypes);
  5618 
  5619 * Isar: simplified (more robust) goal selection of proof methods: 1st
  5620 goal, all goals, or explicit goal specifier (tactic emulation); thus
  5621 'proof method scripts' have to be in depth-first order;
  5622 
  5623 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
  5624 
  5625 * Isar: removed 'help' command, which hasn't been too helpful anyway;
  5626 should instead use individual commands for printing items
  5627 (print_commands, print_methods etc.);
  5628 
  5629 * Isar: added 'nothing' --- the empty list of theorems;
  5630 
  5631 
  5632 *** HOL ***
  5633 
  5634 * HOL/MicroJava: formalization of a fragment of Java, together with a
  5635 corresponding virtual machine and a specification of its bytecode
  5636 verifier and a lightweight bytecode verifier, including proofs of
  5637 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
  5638 Cornelia Pusch (see also the homepage of project Bali at
  5639 http://isabelle.in.tum.de/Bali/);
  5640 
  5641 * HOL/Algebra: new theory of rings and univariate polynomials, by
  5642 Clemens Ballarin;
  5643 
  5644 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
  5645 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
  5646 Rasmussen;
  5647 
  5648 * HOL/Lattice: fundamental concepts of lattice theory and order
  5649 structures, including duals, properties of bounds versus algebraic
  5650 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
  5651 Theorem for complete lattices etc.; may also serve as a demonstration
  5652 for abstract algebraic reasoning using axiomatic type classes, and
  5653 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
  5654 
  5655 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
  5656 von Oheimb;
  5657 
  5658 * HOL/IMPP: extension of IMP with local variables and mutually
  5659 recursive procedures, by David von Oheimb;
  5660 
  5661 * HOL/Lambda: converted into new-style theory and document;
  5662 
  5663 * HOL/ex/Multiquote: example of multiple nested quotations and
  5664 anti-quotations -- basically a generalized version of de-Bruijn
  5665 representation; very useful in avoiding lifting of operations;
  5666 
  5667 * HOL/record: added general record equality rule to simpset; fixed
  5668 select-update simplification procedure to handle extended records as
  5669 well; admit "r" as field name;
  5670 
  5671 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
  5672 other numeric types and also as the identity of groups, rings, etc.;
  5673 
  5674 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
  5675 Types nat and int belong to this axclass;
  5676 
  5677 * HOL: greatly improved simplification involving numerals of type nat, int, real:
  5678    (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
  5679    i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  5680   two terms #m*u and #n*u are replaced by #(m+n)*u
  5681     (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  5682   and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
  5683     or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
  5684 
  5685 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
  5686 powerful prover for predicate logic but knows nothing of clasets; see
  5687 ex/mesontest.ML and ex/mesontest2.ML for example applications;
  5688 
  5689 * HOL: new version of "case_tac" subsumes both boolean case split and
  5690 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
  5691 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
  5692 
  5693 * HOL: simplification no longer dives into case-expressions: only the
  5694 selector expression is simplified, but not the remaining arms; to
  5695 enable full simplification of case-expressions for datatype t, you may
  5696 remove t.weak_case_cong from the simpset, either globally (Delcongs
  5697 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
  5698 
  5699 * HOL/recdef: the recursion equations generated by 'recdef' for
  5700 function 'f' are now called f.simps instead of f.rules; if all
  5701 termination conditions are proved automatically, these simplification
  5702 rules are added to the simpset, as in primrec; rules may be named
  5703 individually as well, resulting in a separate list of theorems for
  5704 each equation;
  5705 
  5706 * HOL/While is a new theory that provides a while-combinator. It
  5707 permits the definition of tail-recursive functions without the
  5708 provision of a termination measure. The latter is necessary once the
  5709 invariant proof rule for while is applied.
  5710 
  5711 * HOL: new (overloaded) notation for the set of elements below/above
  5712 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
  5713 
  5714 * HOL: theorems impI, allI, ballI bound as "strip";
  5715 
  5716 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
  5717 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
  5718 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
  5719 
  5720 * HOL/Real: "rabs" replaced by overloaded "abs" function;
  5721 
  5722 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
  5723 main HOL, but was unused);
  5724 
  5725 * HOL: fewer consts declared as global (e.g. have to refer to
  5726 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
  5727 
  5728 * HOL: tuned AST representation of nested pairs, avoiding bogus output
  5729 in case of overlap with user translations (e.g. judgements over
  5730 tuples); (note that the underlying logical represenation is still
  5731 bogus);
  5732 
  5733 
  5734 *** ZF ***
  5735 
  5736 * ZF: simplification automatically cancels common terms in arithmetic
  5737 expressions over nat and int;
  5738 
  5739 * ZF: new treatment of nat to minimize type-checking: all operators
  5740 coerce their operands to a natural number using the function natify,
  5741 making the algebraic laws unconditional;
  5742 
  5743 * ZF: as above, for int: operators coerce their operands to an integer
  5744 using the function intify;
  5745 
  5746 * ZF: the integer library now contains many of the usual laws for the
  5747 orderings, including $<=, and monotonicity laws for $+ and $*;
  5748 
  5749 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
  5750 simplification;
  5751 
  5752 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
  5753 to the simplifier and classical reasoner simultaneously;
  5754 
  5755 
  5756 *** General ***
  5757 
  5758 * Provers: blast_tac now handles actual object-logic rules as
  5759 assumptions; note that auto_tac uses blast_tac internally as well;
  5760 
  5761 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
  5762 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
  5763 
  5764 * Provers: delrules now handles destruct rules as well (no longer need
  5765 explicit make_elim);
  5766 
  5767 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  5768   [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5769 use instead the strong form,
  5770   [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
  5771 in HOL, FOL and ZF the function cla_make_elim will create such rules
  5772 from destruct-rules;
  5773 
  5774 * Provers: Simplifier.easy_setup provides a fast path to basic
  5775 Simplifier setup for new object-logics;
  5776 
  5777 * Pure: AST translation rules no longer require constant head on LHS;
  5778 
  5779 * Pure: improved name spaces: ambiguous output is qualified; support
  5780 for hiding of names;
  5781 
  5782 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
  5783 XSYMBOL_HOME; no longer need to do manual configuration in most
  5784 situations;
  5785 
  5786 * system: compression of ML heaps images may now be controlled via -c
  5787 option of isabelle and isatool usedir (currently only observed by
  5788 Poly/ML);
  5789 
  5790 * system: isatool installfonts may handle X-Symbol fonts as well (very
  5791 useful for remote X11);
  5792 
  5793 * system: provide TAGS file for Isabelle sources;
  5794 
  5795 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
  5796 order;
  5797 
  5798 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
  5799 timing flag supersedes proof_timing and Toplevel.trace;
  5800 
  5801 * ML: new combinators |>> and |>>> for incremental transformations
  5802 with secondary results (e.g. certain theory extensions):
  5803 
  5804 * ML: PureThy.add_defs gets additional argument to indicate potential
  5805 overloading (usually false);
  5806 
  5807 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
  5808 results;
  5809 
  5810 
  5811 
  5812 New in Isabelle99 (October 1999)
  5813 --------------------------------
  5814 
  5815 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  5816 
  5817 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
  5818 are no longer simplified.  (This allows the simplifier to unfold recursive
  5819 functional programs.)  To restore the old behaviour, declare
  5820 
  5821     Delcongs [if_weak_cong];
  5822 
  5823 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
  5824 complement;
  5825 
  5826 * HOL: the predicate "inj" is now defined by translation to "inj_on";
  5827 
  5828 * HOL/datatype: mutual_induct_tac no longer exists --
  5829   use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
  5830 
  5831 * HOL/typedef: fixed type inference for representing set; type
  5832 arguments now have to occur explicitly on the rhs as type constraints;
  5833 
  5834 * ZF: The con_defs part of an inductive definition may no longer refer
  5835 to constants declared in the same theory;
  5836 
  5837 * HOL, ZF: the function mk_cases, generated by the inductive
  5838 definition package, has lost an argument.  To simplify its result, it
  5839 uses the default simpset instead of a supplied list of theorems.
  5840 
  5841 * HOL/List: the constructors of type list are now Nil and Cons;
  5842 
  5843 * Simplifier: the type of the infix ML functions
  5844         setSSolver addSSolver setSolver addSolver
  5845 is now  simpset * solver -> simpset  where `solver' is a new abstract type
  5846 for packaging solvers. A solver is created via
  5847         mk_solver: string -> (thm list -> int -> tactic) -> solver
  5848 where the string argument is only a comment.
  5849 
  5850 
  5851 *** Proof tools ***
  5852 
  5853 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
  5854 decision procedure for linear arithmetic. Currently it is used for
  5855 types `nat', `int', and `real' in HOL (see below); it can, should and
  5856 will be instantiated for other types and logics as well.
  5857 
  5858 * The simplifier now accepts rewrite rules with flexible heads, eg
  5859      hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  5860   They are applied like any rule with a non-pattern lhs, i.e. by first-order
  5861   matching.
  5862 
  5863 
  5864 *** General ***
  5865 
  5866 * New Isabelle/Isar subsystem provides an alternative to traditional
  5867 tactical theorem proving; together with the ProofGeneral/isar user
  5868 interface it offers an interactive environment for developing human
  5869 readable proof documents (Isar == Intelligible semi-automated
  5870 reasoning); for further information see isatool doc isar-ref,
  5871 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
  5872 
  5873 * improved and simplified presentation of theories: better HTML markup
  5874 (including colors), graph views in several sizes; isatool usedir now
  5875 provides a proper interface for user theories (via -P option); actual
  5876 document preparation based on (PDF)LaTeX is available as well (for
  5877 new-style theories only); see isatool doc system for more information;
  5878 
  5879 * native support for Proof General, both for classic Isabelle and
  5880 Isabelle/Isar;
  5881 
  5882 * ML function thm_deps visualizes dependencies of theorems and lemmas,
  5883 using the graph browser tool;
  5884 
  5885 * Isabelle manuals now also available as PDF;
  5886 
  5887 * theory loader rewritten from scratch (may not be fully
  5888 bug-compatible); old loadpath variable has been replaced by show_path,
  5889 add_path, del_path, reset_path functions; new operations such as
  5890 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
  5891 isatool doc ref);
  5892 
  5893 * improved isatool install: option -k creates KDE application icon,
  5894 option -p DIR installs standalone binaries;
  5895 
  5896 * added ML_PLATFORM setting (useful for cross-platform installations);
  5897 more robust handling of platform specific ML images for SML/NJ;
  5898 
  5899 * the settings environment is now statically scoped, i.e. it is never
  5900 created again in sub-processes invoked from isabelle, isatool, or
  5901 Isabelle;
  5902 
  5903 * path element specification '~~' refers to '$ISABELLE_HOME';
  5904 
  5905 * in locales, the "assumes" and "defines" parts may be omitted if
  5906 empty;
  5907 
  5908 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
  5909 long arrows);
  5910 
  5911 * new print_mode "HTML";
  5912 
  5913 * new flag show_tags controls display of tags of theorems (which are
  5914 basically just comments that may be attached by some tools);
  5915 
  5916 * Isamode 2.6 requires patch to accomodate change of Isabelle font
  5917 mode and goal output format:
  5918 
  5919 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
  5920 244c244
  5921 <       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
  5922 ---
  5923 >       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
  5924 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
  5925 181c181
  5926 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
  5927 ---
  5928 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
  5929 
  5930 * function bind_thms stores lists of theorems (cf. bind_thm);
  5931 
  5932 * new shorthand tactics ftac, eatac, datac, fatac;
  5933 
  5934 * qed (and friends) now accept "" as result name; in that case the
  5935 theorem is not stored, but proper checks and presentation of the
  5936 result still apply;
  5937 
  5938 * theorem database now also indexes constants "Trueprop", "all",
  5939 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
  5940 
  5941 
  5942 *** HOL ***
  5943 
  5944 ** HOL arithmetic **
  5945 
  5946 * There are now decision procedures for linear arithmetic over nat and
  5947 int:
  5948 
  5949 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
  5950 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
  5951 are treated as atomic; subformulae not involving type `nat' or `int'
  5952 are ignored; quantified subformulae are ignored unless they are
  5953 positive universal or negative existential. The tactic has to be
  5954 invoked by hand and can be a little bit slow. In particular, the
  5955 running time is exponential in the number of occurrences of `min' and
  5956 `max', and `-' on `nat'.
  5957 
  5958 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
  5959 (negated) (in)equalities among the premises and the conclusion into
  5960 account (i.e. no compound formulae) and does not know about `min' and
  5961 `max', and `-' on `nat'. It is fast and is used automatically by the
  5962 simplifier.
  5963 
  5964 NB: At the moment, these decision procedures do not cope with mixed
  5965 nat/int formulae where the two parts interact, such as `m < n ==>
  5966 int(m) < int(n)'.
  5967 
  5968 * HOL/Numeral provides a generic theory of numerals (encoded
  5969 efficiently as bit strings); setup for types nat/int/real is in place;
  5970 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
  5971 int, existing theories and proof scripts may require a few additional
  5972 type constraints;
  5973 
  5974 * integer division and remainder can now be performed on constant
  5975 arguments;
  5976 
  5977 * many properties of integer multiplication, division and remainder
  5978 are now available;
  5979 
  5980 * An interface to the Stanford Validity Checker (SVC) is available through the
  5981 tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
  5982 are proved automatically.  SVC must be installed separately, and its results
  5983 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
  5984 invocation of the underlying oracle).  For SVC see
  5985   http://verify.stanford.edu/SVC
  5986 
  5987 * IsaMakefile: the HOL-Real target now builds an actual image;
  5988 
  5989 
  5990 ** HOL misc **
  5991 
  5992 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
  5993 (in Isabelle/Isar) -- by Gertrud Bauer;
  5994 
  5995 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
  5996 analysis for assembly languages with subtypes;
  5997 
  5998 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
  5999 -- avoids syntactic ambiguities and treats state, transition, and
  6000 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
  6001 changed syntax and (many) tactics;
  6002 
  6003 * HOL/inductive: Now also handles more general introduction rules such
  6004   as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  6005   theorems are now maintained within the theory (maintained via the
  6006   "mono" attribute);
  6007 
  6008 * HOL/datatype: Now also handles arbitrarily branching datatypes
  6009   (using function types) such as
  6010 
  6011   datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
  6012 
  6013 * HOL/record: record_simproc (part of the default simpset) takes care
  6014 of selectors applied to updated records; record_split_tac is no longer
  6015 part of the default claset; update_defs may now be removed from the
  6016 simpset in many cases; COMPATIBILITY: old behavior achieved by
  6017 
  6018   claset_ref () := claset() addSWrapper record_split_wrapper;
  6019   Delsimprocs [record_simproc]
  6020 
  6021 * HOL/typedef: fixed type inference for representing set; type
  6022 arguments now have to occur explicitly on the rhs as type constraints;
  6023 
  6024 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
  6025 names rather than an ML expression;
  6026 
  6027 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
  6028 supplied later.  Program schemes can be defined, such as
  6029     "While B C s = (if B s then While B C (C s) else s)"
  6030 where the well-founded relation can be chosen after B and C have been given.
  6031 
  6032 * HOL/List: the constructors of type list are now Nil and Cons;
  6033 INCOMPATIBILITY: while [] and infix # syntax is still there, of
  6034 course, ML tools referring to List.list.op # etc. have to be adapted;
  6035 
  6036 * HOL_quantifiers flag superseded by "HOL" print mode, which is
  6037 disabled by default; run isabelle with option -m HOL to get back to
  6038 the original Gordon/HOL-style output;
  6039 
  6040 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
  6041 ALL x<=y. P, EX x<y. P, EX x<=y. P;
  6042 
  6043 * HOL basic syntax simplified (more orthogonal): all variants of
  6044 All/Ex now support plain / symbolic / HOL notation; plain syntax for
  6045 Eps operator is provided as well: "SOME x. P[x]";
  6046 
  6047 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
  6048 
  6049 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
  6050 thus available for user theories;
  6051 
  6052 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
  6053 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
  6054 time;
  6055 
  6056 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
  6057 several times and then mp;
  6058 
  6059 
  6060 *** LK ***
  6061 
  6062 * the notation <<...>> is now available as a notation for sequences of
  6063 formulas;
  6064 
  6065 * the simplifier is now installed
  6066 
  6067 * the axiom system has been generalized (thanks to Soren Heilmann)
  6068 
  6069 * the classical reasoner now has a default rule database
  6070 
  6071 
  6072 *** ZF ***
  6073 
  6074 * new primrec section allows primitive recursive functions to be given
  6075 directly (as in HOL) over datatypes and the natural numbers;
  6076 
  6077 * new tactics induct_tac and exhaust_tac for induction (or case
  6078 analysis) over datatypes and the natural numbers;
  6079 
  6080 * the datatype declaration of type T now defines the recursor T_rec;
  6081 
  6082 * simplification automatically does freeness reasoning for datatype
  6083 constructors;
  6084 
  6085 * automatic type-inference, with AddTCs command to insert new
  6086 type-checking rules;
  6087 
  6088 * datatype introduction rules are now added as Safe Introduction rules
  6089 to the claset;
  6090 
  6091 * the syntax "if P then x else y" is now available in addition to
  6092 if(P,x,y);
  6093 
  6094 
  6095 *** Internal programming interfaces ***
  6096 
  6097 * tuned simplifier trace output; new flag debug_simp;
  6098 
  6099 * structures Vartab / Termtab (instances of TableFun) offer efficient
  6100 tables indexed by indexname_ord / term_ord (compatible with aconv);
  6101 
  6102 * AxClass.axclass_tac lost the theory argument;
  6103 
  6104 * tuned current_goals_markers semantics: begin / end goal avoids
  6105 printing empty lines;
  6106 
  6107 * removed prs and prs_fn hook, which was broken because it did not
  6108 include \n in its semantics, forcing writeln to add one
  6109 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
  6110 string -> unit if you really want to output text without newline;
  6111 
  6112 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
  6113 plain output, interface builders may have to enable 'isabelle_font'
  6114 mode to get Isabelle font glyphs as before;
  6115 
  6116 * refined token_translation interface; INCOMPATIBILITY: output length
  6117 now of type real instead of int;
  6118 
  6119 * theory loader actions may be traced via new ThyInfo.add_hook
  6120 interface (see src/Pure/Thy/thy_info.ML); example application: keep
  6121 your own database of information attached to *whole* theories -- as
  6122 opposed to intra-theory data slots offered via TheoryDataFun;
  6123 
  6124 * proper handling of dangling sort hypotheses (at last!);
  6125 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
  6126 extra sort hypotheses that can be witnessed from the type signature;
  6127 the force_strip_shyps flag is gone, any remaining shyps are simply
  6128 left in the theorem (with a warning issued by strip_shyps_warning);
  6129 
  6130 
  6131 
  6132 New in Isabelle98-1 (October 1998)
  6133 ----------------------------------
  6134 
  6135 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6136 
  6137 * several changes of automated proof tools;
  6138 
  6139 * HOL: major changes to the inductive and datatype packages, including
  6140 some minor incompatibilities of theory syntax;
  6141 
  6142 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
  6143 called `inj_on';
  6144 
  6145 * HOL: removed duplicate thms in Arith:
  6146   less_imp_add_less  should be replaced by  trans_less_add1
  6147   le_imp_add_le      should be replaced by  trans_le_add1
  6148 
  6149 * HOL: unary minus is now overloaded (new type constraints may be
  6150 required);
  6151 
  6152 * HOL and ZF: unary minus for integers is now #- instead of #~.  In
  6153 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
  6154 now taken as an integer constant.
  6155 
  6156 * Pure: ML function 'theory_of' renamed to 'theory';
  6157 
  6158 
  6159 *** Proof tools ***
  6160 
  6161 * Simplifier:
  6162   1. Asm_full_simp_tac is now more aggressive.
  6163      1. It will sometimes reorient premises if that increases their power to
  6164         simplify.
  6165      2. It does no longer proceed strictly from left to right but may also
  6166         rotate premises to achieve further simplification.
  6167      For compatibility reasons there is now Asm_lr_simp_tac which is like the
  6168      old Asm_full_simp_tac in that it does not rotate premises.
  6169   2. The simplifier now knows a little bit about nat-arithmetic.
  6170 
  6171 * Classical reasoner: wrapper mechanism for the classical reasoner now
  6172 allows for selected deletion of wrappers, by introduction of names for
  6173 wrapper functionals.  This implies that addbefore, addSbefore,
  6174 addaltern, and addSaltern now take a pair (name, tactic) as argument,
  6175 and that adding two tactics with the same name overwrites the first
  6176 one (emitting a warning).
  6177   type wrapper = (int -> tactic) -> (int -> tactic)
  6178   setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  6179   addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  6180   delWrapper, delSWrapper: claset *  string            -> claset
  6181   getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
  6182 
  6183 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
  6184 semantics; addbefore now affects only the unsafe part of step_tac
  6185 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
  6186 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
  6187 by Force_tac;
  6188 
  6189 * Classical reasoner: setwrapper to setWrapper and compwrapper to
  6190 compWrapper; added safe wrapper (and access functions for it);
  6191 
  6192 * HOL/split_all_tac is now much faster and fails if there is nothing
  6193 to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
  6194 and the names of the automatically generated variables have changed.
  6195 split_all_tac has moved within claset() from unsafe wrappers to safe
  6196 wrappers, which means that !!-bound variables are split much more
  6197 aggressively, and safe_tac and clarify_tac now split such variables.
  6198 If this splitting is not appropriate, use delSWrapper "split_all_tac".
  6199 Note: the same holds for record_split_tac, which does the job of
  6200 split_all_tac for record fields.
  6201 
  6202 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
  6203 permanently to the default simpset using Addsplits just like
  6204 Addsimps. They can be removed via Delsplits just like
  6205 Delsimps. Lower-case versions are also available.
  6206 
  6207 * HOL/Simplifier: The rule split_if is now part of the default
  6208 simpset. This means that the simplifier will eliminate all occurrences
  6209 of if-then-else in the conclusion of a goal. To prevent this, you can
  6210 either remove split_if completely from the default simpset by
  6211 `Delsplits [split_if]' or remove it in a specific call of the
  6212 simplifier using `... delsplits [split_if]'.  You can also add/delete
  6213 other case splitting rules to/from the default simpset: every datatype
  6214 generates suitable rules `split_t_case' and `split_t_case_asm' (where
  6215 t is the name of the datatype).
  6216 
  6217 * Classical reasoner / Simplifier combination: new force_tac (and
  6218 derivatives Force_tac, force) combines rewriting and classical
  6219 reasoning (and whatever other tools) similarly to auto_tac, but is
  6220 aimed to solve the given subgoal completely.
  6221 
  6222 
  6223 *** General ***
  6224 
  6225 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
  6226 and `goalw': the theory is no longer needed as an explicit argument -
  6227 the current theory context is used; assumptions are no longer returned
  6228 at the ML-level unless one of them starts with ==> or !!; it is
  6229 recommended to convert to these new commands using isatool fixgoal
  6230 (backup your sources first!);
  6231 
  6232 * new top-level commands 'thm' and 'thms' for retrieving theorems from
  6233 the current theory context, and 'theory' to lookup stored theories;
  6234 
  6235 * new theory section 'locale' for declaring constants, assumptions and
  6236 definitions that have local scope;
  6237 
  6238 * new theory section 'nonterminals' for purely syntactic types;
  6239 
  6240 * new theory section 'setup' for generic ML setup functions
  6241 (e.g. package initialization);
  6242 
  6243 * the distribution now includes Isabelle icons: see
  6244 lib/logo/isabelle-{small,tiny}.xpm;
  6245 
  6246 * isatool install - install binaries with absolute references to
  6247 ISABELLE_HOME/bin;
  6248 
  6249 * isatool logo -- create instances of the Isabelle logo (as EPS);
  6250 
  6251 * print mode 'emacs' reserved for Isamode;
  6252 
  6253 * support multiple print (ast) translations per constant name;
  6254 
  6255 * theorems involving oracles are now printed with a suffixed [!];
  6256 
  6257 
  6258 *** HOL ***
  6259 
  6260 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
  6261 
  6262 * HOL/inductive package reorganized and improved: now supports mutual
  6263 definitions such as
  6264 
  6265   inductive EVEN ODD
  6266     intrs
  6267       null "0 : EVEN"
  6268       oddI "n : EVEN ==> Suc n : ODD"
  6269       evenI "n : ODD ==> Suc n : EVEN"
  6270 
  6271 new theorem list "elims" contains an elimination rule for each of the
  6272 recursive sets; inductive definitions now handle disjunctive premises
  6273 correctly (also ZF);
  6274 
  6275 INCOMPATIBILITIES: requires Inductive as an ancestor; component
  6276 "mutual_induct" no longer exists - the induction rule is always
  6277 contained in "induct";
  6278 
  6279 
  6280 * HOL/datatype package re-implemented and greatly improved: now
  6281 supports mutually recursive datatypes such as
  6282 
  6283   datatype
  6284     'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
  6285             | SUM ('a aexp) ('a aexp)
  6286             | DIFF ('a aexp) ('a aexp)
  6287             | NUM 'a
  6288   and
  6289     'a bexp = LESS ('a aexp) ('a aexp)
  6290             | AND ('a bexp) ('a bexp)
  6291             | OR ('a bexp) ('a bexp)
  6292 
  6293 as well as indirectly recursive datatypes such as
  6294 
  6295   datatype
  6296     ('a, 'b) term = Var 'a
  6297                   | App 'b ((('a, 'b) term) list)
  6298 
  6299 The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
  6300 induction on mutually / indirectly recursive datatypes.
  6301 
  6302 Primrec equations are now stored in theory and can be accessed via
  6303 <function_name>.simps.
  6304 
  6305 INCOMPATIBILITIES:
  6306 
  6307   - Theories using datatypes must now have theory Datatype as an
  6308     ancestor.
  6309   - The specific <typename>.induct_tac no longer exists - use the
  6310     generic induct_tac instead.
  6311   - natE has been renamed to nat.exhaust - use exhaust_tac
  6312     instead of res_inst_tac ... natE. Note that the variable
  6313     names in nat.exhaust differ from the names in natE, this
  6314     may cause some "fragile" proofs to fail.
  6315   - The theorems split_<typename>_case and split_<typename>_case_asm
  6316     have been renamed to <typename>.split and <typename>.split_asm.
  6317   - Since default sorts of type variables are now handled correctly,
  6318     some datatype definitions may have to be annotated with explicit
  6319     sort constraints.
  6320   - Primrec definitions no longer require function name and type
  6321     of recursive argument.
  6322 
  6323 Consider using isatool fixdatatype to adapt your theories and proof
  6324 scripts to the new package (backup your sources first!).
  6325 
  6326 
  6327 * HOL/record package: considerably improved implementation; now
  6328 includes concrete syntax for record types, terms, updates; theorems
  6329 for surjective pairing and splitting !!-bound record variables; proof
  6330 support is as follows:
  6331 
  6332   1) standard conversions (selectors or updates applied to record
  6333 constructor terms) are part of the standard simpset;
  6334 
  6335   2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
  6336 made part of standard simpset and claset via addIffs;
  6337 
  6338   3) a tactic for record field splitting (record_split_tac) is part of
  6339 the standard claset (addSWrapper);
  6340 
  6341 To get a better idea about these rules you may retrieve them via
  6342 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
  6343 the name of your record type.
  6344 
  6345 The split tactic 3) conceptually simplifies by the following rule:
  6346 
  6347   "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
  6348 
  6349 Thus any record variable that is bound by meta-all will automatically
  6350 blow up into some record constructor term, consequently the
  6351 simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
  6352 solve record problems automatically.
  6353 
  6354 
  6355 * reorganized the main HOL image: HOL/Integ and String loaded by
  6356 default; theory Main includes everything;
  6357 
  6358 * automatic simplification of integer sums and comparisons, using cancellation;
  6359 
  6360 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
  6361 
  6362 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
  6363 
  6364 * many new identities for unions, intersections, set difference, etc.;
  6365 
  6366 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
  6367 called split_if, split_split, split_sum_case and split_nat_case (to go
  6368 with add/delsplits);
  6369 
  6370 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
  6371 (?x::unit) = (); this is made part of the default simpset, which COULD
  6372 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
  6373 'Delsimprocs [unit_eq_proc];' as last resort); also note that
  6374 unit_abs_eta_conv is added in order to counter the effect of
  6375 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
  6376 %u.f();
  6377 
  6378 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
  6379 makes more sense);
  6380 
  6381 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6382   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6383   disjointness reasoning but breaking a few old proofs.
  6384 
  6385 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
  6386 to 'converse' from 'inverse' (for compatibility with ZF and some
  6387 literature);
  6388 
  6389 * HOL/recdef can now declare non-recursive functions, with {} supplied as
  6390 the well-founded relation;
  6391 
  6392 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
  6393     Compl A.  The "Compl" syntax remains available as input syntax for this
  6394     release ONLY.
  6395 
  6396 * HOL/Update: new theory of function updates:
  6397     f(a:=b) == %x. if x=a then b else f x
  6398 may also be iterated as in f(a:=b,c:=d,...);
  6399 
  6400 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
  6401 
  6402 * HOL/List:
  6403   - new function list_update written xs[i:=v] that updates the i-th
  6404     list position. May also be iterated as in xs[i:=a,j:=b,...].
  6405   - new function `upt' written [i..j(] which generates the list
  6406     [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
  6407     bound write [i..j], which is a shorthand for [i..j+1(].
  6408   - new lexicographic orderings and corresponding wellfoundedness theorems.
  6409 
  6410 * HOL/Arith:
  6411   - removed 'pred' (predecessor) function;
  6412   - generalized some theorems about n-1;
  6413   - many new laws about "div" and "mod";
  6414   - new laws about greatest common divisors (see theory ex/Primes);
  6415 
  6416 * HOL/Relation: renamed the relational operator r^-1 "converse"
  6417 instead of "inverse";
  6418 
  6419 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  6420   of the multiset ordering;
  6421 
  6422 * directory HOL/Real: a construction of the reals using Dedekind cuts
  6423   (not included by default);
  6424 
  6425 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
  6426 
  6427 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  6428   programs, i.e. different program variables may have different types.
  6429 
  6430 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6431   [previously, this check worked only if the rewrite rule was unconditional]
  6432   Now rew can involve either definitions or equalities (either == or =).
  6433 
  6434 
  6435 *** ZF ***
  6436 
  6437 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  6438   only the theorems proved on ZF.ML;
  6439 
  6440 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  6441   It and 'sym RS equals0D' are now in the default  claset, giving automatic
  6442   disjointness reasoning but breaking a few old proofs.
  6443 
  6444 * ZF/Update: new theory of function updates
  6445     with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  6446   may also be iterated as in f(a:=b,c:=d,...);
  6447 
  6448 * in  let x=t in u(x), neither t nor u(x) has to be an FOL term.
  6449 
  6450 * calling (stac rew i) now fails if "rew" has no effect on the goal
  6451   [previously, this check worked only if the rewrite rule was unconditional]
  6452   Now rew can involve either definitions or equalities (either == or =).
  6453 
  6454 * case_tac provided for compatibility with HOL
  6455     (like the old excluded_middle_tac, but with subgoals swapped)
  6456 
  6457 
  6458 *** Internal programming interfaces ***
  6459 
  6460 * Pure: several new basic modules made available for general use, see
  6461 also src/Pure/README;
  6462 
  6463 * improved the theory data mechanism to support encapsulation (data
  6464 kind name replaced by private Object.kind, acting as authorization
  6465 key); new type-safe user interface via functor TheoryDataFun; generic
  6466 print_data function becomes basically useless;
  6467 
  6468 * removed global_names compatibility flag -- all theory declarations
  6469 are qualified by default;
  6470 
  6471 * module Pure/Syntax now offers quote / antiquote translation
  6472 functions (useful for Hoare logic etc. with implicit dependencies);
  6473 see HOL/ex/Antiquote for an example use;
  6474 
  6475 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
  6476 cterm -> thm;
  6477 
  6478 * new tactical CHANGED_GOAL for checking that a tactic modifies a
  6479 subgoal;
  6480 
  6481 * Display.print_goals function moved to Locale.print_goals;
  6482 
  6483 * standard print function for goals supports current_goals_markers
  6484 variable for marking begin of proof, end of proof, start of goal; the
  6485 default is ("", "", ""); setting current_goals_markers := ("<proof>",
  6486 "</proof>", "<goal>") causes SGML like tagged proof state printing,
  6487 for example;
  6488 
  6489 
  6490 
  6491 New in Isabelle98 (January 1998)
  6492 --------------------------------
  6493 
  6494 *** Overview of INCOMPATIBILITIES (see below for more details) ***
  6495 
  6496 * changed lexical syntax of terms / types: dots made part of long
  6497 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
  6498 
  6499 * simpset (and claset) reference variable replaced by functions
  6500 simpset / simpset_ref;
  6501 
  6502 * no longer supports theory aliases (via merge) and non-trivial
  6503 implicit merge of thms' signatures;
  6504 
  6505 * most internal names of constants changed due to qualified names;
  6506 
  6507 * changed Pure/Sequence interface (see Pure/seq.ML);
  6508 
  6509 
  6510 *** General Changes ***
  6511 
  6512 * hierachically structured name spaces (for consts, types, axms, thms
  6513 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
  6514 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
  6515 isatool fixdots ensures space after dots (e.g. "%x. x"); set
  6516 long_names for fully qualified output names; NOTE: ML programs
  6517 (special tactics, packages etc.) referring to internal names may have
  6518 to be adapted to cope with fully qualified names; in case of severe
  6519 backward campatibility problems try setting 'global_names' at compile
  6520 time to have enrything declared within a flat name space; one may also
  6521 fine tune name declarations in theories via the 'global' and 'local'
  6522 section;
  6523 
  6524 * reimplemented the implicit simpset and claset using the new anytype
  6525 data filed in signatures; references simpset:simpset ref etc. are
  6526 replaced by functions simpset:unit->simpset and
  6527 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
  6528 to patch your ML files accordingly;
  6529 
  6530 * HTML output now includes theory graph data for display with Java
  6531 applet or isatool browser; data generated automatically via isatool
  6532 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
  6533 
  6534 * defs may now be conditional; improved rewrite_goals_tac to handle
  6535 conditional equations;
  6536 
  6537 * defs now admits additional type arguments, using TYPE('a) syntax;
  6538 
  6539 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
  6540 creates a new theory node; implicit merge of thms' signatures is
  6541 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
  6542 transfer:theory->thm->thm in (rare) cases;
  6543 
  6544 * improved handling of draft signatures / theories; draft thms (and
  6545 ctyps, cterms) are automatically promoted to real ones;
  6546 
  6547 * slightly changed interfaces for oracles: admit many per theory, named
  6548 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
  6549 
  6550 * print_goals: optional output of const types (set show_consts and
  6551 show_types);
  6552 
  6553 * improved output of warnings (###) and errors (***);
  6554 
  6555 * subgoal_tac displays a warning if the new subgoal has type variables;
  6556 
  6557 * removed old README and Makefiles;
  6558 
  6559 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
  6560 
  6561 * removed obsolete init_pps and init_database;
  6562 
  6563 * deleted the obsolete tactical STATE, which was declared by
  6564     fun STATE tacfun st = tacfun st st;
  6565 
  6566 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
  6567 (which abbreviates $HOME);
  6568 
  6569 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
  6570 use isatool fixseq to adapt your ML programs (this works for fully
  6571 qualified references to the Sequence structure only!);
  6572 
  6573 * use_thy no longer requires writable current directory; it always
  6574 reloads .ML *and* .thy file, if either one is out of date;
  6575 
  6576 
  6577 *** Classical Reasoner ***
  6578 
  6579 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
  6580 tactics that use classical reasoning to simplify a subgoal without
  6581 splitting it into several subgoals;
  6582 
  6583 * Safe_tac: like safe_tac but uses the default claset;
  6584 
  6585 
  6586 *** Simplifier ***
  6587 
  6588 * added simplification meta rules:
  6589     (asm_)(full_)simplify: simpset -> thm -> thm;
  6590 
  6591 * simplifier.ML no longer part of Pure -- has to be loaded by object
  6592 logics (again);
  6593 
  6594 * added prems argument to simplification procedures;
  6595 
  6596 * HOL, FOL, ZF: added infix function `addsplits':
  6597   instead of `<simpset> setloop (split_tac <thms>)'
  6598   you can simply write `<simpset> addsplits <thms>'
  6599 
  6600 
  6601 *** Syntax ***
  6602 
  6603 * TYPE('a) syntax for type reflection terms;
  6604 
  6605 * no longer handles consts with name "" -- declare as 'syntax' instead;
  6606 
  6607 * pretty printer: changed order of mixfix annotation preference (again!);
  6608 
  6609 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
  6610 
  6611 
  6612 *** HOL ***
  6613 
  6614 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6615   with `addloop' of the simplifier to faciliate case splitting in premises.
  6616 
  6617 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
  6618 
  6619 * HOL/Auth: new protocol proofs including some for the Internet
  6620   protocol TLS;
  6621 
  6622 * HOL/Map: new theory of `maps' a la VDM;
  6623 
  6624 * HOL/simplifier: simplification procedures nat_cancel_sums for
  6625 cancelling out common nat summands from =, <, <= (in)equalities, or
  6626 differences; simplification procedures nat_cancel_factor for
  6627 cancelling common factor from =, <, <= (in)equalities over natural
  6628 sums; nat_cancel contains both kinds of procedures, it is installed by
  6629 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
  6630 
  6631 * HOL/simplifier: terms of the form
  6632   `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  6633   are rewritten to
  6634   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  6635   and those of the form
  6636   `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  6637   are rewritten to
  6638   `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
  6639 
  6640 * HOL/datatype
  6641   Each datatype `t' now comes with a theorem `split_t_case' of the form
  6642 
  6643   P(t_case f1 ... fn x) =
  6644      ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
  6645         ...
  6646        (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
  6647      )
  6648 
  6649   and a theorem `split_t_case_asm' of the form
  6650 
  6651   P(t_case f1 ... fn x) =
  6652     ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
  6653         ...
  6654        (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  6655      )
  6656   which can be added to a simpset via `addsplits'. The existing theorems
  6657   expand_list_case and expand_option_case have been renamed to
  6658   split_list_case and split_option_case.
  6659 
  6660 * HOL/Arithmetic:
  6661   - `pred n' is automatically converted to `n-1'.
  6662     Users are strongly encouraged not to use `pred' any longer,
  6663     because it will disappear altogether at some point.
  6664   - Users are strongly encouraged to write "0 < n" rather than
  6665     "n ~= 0". Theorems and proof tools have been modified towards this
  6666     `standard'.
  6667 
  6668 * HOL/Lists:
  6669   the function "set_of_list" has been renamed "set" (and its theorems too);
  6670   the function "nth" now takes its arguments in the reverse order and
  6671   has acquired the infix notation "!" as in "xs!n".
  6672 
  6673 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
  6674 
  6675 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  6676   specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
  6677 
  6678 * HOL/record: extensible records with schematic structural subtyping
  6679 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
  6680 still lacks various theorems and concrete record syntax;
  6681 
  6682 
  6683 *** HOLCF ***
  6684 
  6685 * removed "axioms" and "generated by" sections;
  6686 
  6687 * replaced "ops" section by extended "consts" section, which is capable of
  6688   handling the continuous function space "->" directly;
  6689 
  6690 * domain package:
  6691   . proves theorems immediately and stores them in the theory,
  6692   . creates hierachical name space,
  6693   . now uses normal mixfix annotations (instead of cinfix...),
  6694   . minor changes to some names and values (for consistency),
  6695   . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  6696   . separator between mutual domain defs: changed "," to "and",
  6697   . improved handling of sort constraints;  now they have to
  6698     appear on the left-hand side of the equations only;
  6699 
  6700 * fixed LAM <x,y,zs>.b syntax;
  6701 
  6702 * added extended adm_tac to simplifier in HOLCF -- can now discharge
  6703 adm (%x. P (t x)), where P is chainfinite and t continuous;
  6704 
  6705 
  6706 *** FOL and ZF ***
  6707 
  6708 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  6709   with `addloop' of the simplifier to faciliate case splitting in premises.
  6710 
  6711 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
  6712 in HOL, they strip ALL and --> from proved theorems;
  6713 
  6714 
  6715 
  6716 New in Isabelle94-8 (May 1997)
  6717 ------------------------------
  6718 
  6719 *** General Changes ***
  6720 
  6721 * new utilities to build / run / maintain Isabelle etc. (in parts
  6722 still somewhat experimental); old Makefiles etc. still functional;
  6723 
  6724 * new 'Isabelle System Manual';
  6725 
  6726 * INSTALL text, together with ./configure and ./build scripts;
  6727 
  6728 * reimplemented type inference for greater efficiency, better error
  6729 messages and clean internal interface;
  6730 
  6731 * prlim command for dealing with lots of subgoals (an easier way of
  6732 setting goals_limit);
  6733 
  6734 
  6735 *** Syntax ***
  6736 
  6737 * supports alternative (named) syntax tables (parser and pretty
  6738 printer); internal interface is provided by add_modesyntax(_i);
  6739 
  6740 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
  6741 be used in conjunction with the Isabelle symbol font; uses the
  6742 "symbols" syntax table;
  6743 
  6744 * added token_translation interface (may translate name tokens in
  6745 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
  6746 the current print_mode); IMPORTANT: user print translation functions
  6747 are responsible for marking newly introduced bounds
  6748 (Syntax.mark_boundT);
  6749 
  6750 * token translations for modes "xterm" and "xterm_color" that display
  6751 names in bold, underline etc. or colors (which requires a color
  6752 version of xterm);
  6753 
  6754 * infixes may now be declared with names independent of their syntax;
  6755 
  6756 * added typed_print_translation (like print_translation, but may
  6757 access type of constant);
  6758 
  6759 
  6760 *** Classical Reasoner ***
  6761 
  6762 Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
  6763 some limitations.  Blast_tac...
  6764   + ignores addss, addbefore, addafter; this restriction is intrinsic
  6765   + ignores elimination rules that don't have the correct format
  6766         (the conclusion MUST be a formula variable)
  6767   + ignores types, which can make HOL proofs fail
  6768   + rules must not require higher-order unification, e.g. apply_type in ZF
  6769     [message "Function Var's argument not a bound variable" relates to this]
  6770   + its proof strategy is more general but can actually be slower
  6771 
  6772 * substitution with equality assumptions no longer permutes other
  6773 assumptions;
  6774 
  6775 * minor changes in semantics of addafter (now called addaltern); renamed
  6776 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
  6777 (and access functions for it);
  6778 
  6779 * improved combination of classical reasoner and simplifier:
  6780   + functions for handling clasimpsets
  6781   + improvement of addss: now the simplifier is called _after_ the
  6782     safe steps.
  6783   + safe variant of addss called addSss: uses safe simplifications
  6784     _during_ the safe steps. It is more complete as it allows multiple
  6785     instantiations of unknowns (e.g. with slow_tac).
  6786 
  6787 *** Simplifier ***
  6788 
  6789 * added interface for simplification procedures (functions that
  6790 produce *proven* rewrite rules on the fly, depending on current
  6791 redex);
  6792 
  6793 * ordering on terms as parameter (used for ordered rewriting);
  6794 
  6795 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
  6796 
  6797 * the solver is now split into a safe and an unsafe part.
  6798 This should be invisible for the normal user, except that the
  6799 functions setsolver and addsolver have been renamed to setSolver and
  6800 addSolver; added safe_asm_full_simp_tac;
  6801 
  6802 
  6803 *** HOL ***
  6804 
  6805 * a generic induction tactic `induct_tac' which works for all datatypes and
  6806 also for type `nat';
  6807 
  6808 * a generic case distinction tactic `exhaust_tac' which works for all
  6809 datatypes and also for type `nat';
  6810 
  6811 * each datatype comes with a function `size';
  6812 
  6813 * patterns in case expressions allow tuple patterns as arguments to
  6814 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
  6815 
  6816 * primrec now also works with type nat;
  6817 
  6818 * recdef: a new declaration form, allows general recursive functions to be
  6819 defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
  6820 
  6821 * the constant for negation has been renamed from "not" to "Not" to
  6822 harmonize with FOL, ZF, LK, etc.;
  6823 
  6824 * HOL/ex/LFilter theory of a corecursive "filter" functional for
  6825 infinite lists;
  6826 
  6827 * HOL/Modelcheck demonstrates invocation of model checker oracle;
  6828 
  6829 * HOL/ex/Ring.thy declares cring_simp, which solves equational
  6830 problems in commutative rings, using axiomatic type classes for + and *;
  6831 
  6832 * more examples in HOL/MiniML and HOL/Auth;
  6833 
  6834 * more default rewrite rules for quantifiers, union/intersection;
  6835 
  6836 * a new constant `arbitrary == @x.False';
  6837 
  6838 * HOLCF/IOA replaces old HOL/IOA;
  6839 
  6840 * HOLCF changes: derived all rules and arities
  6841   + axiomatic type classes instead of classes
  6842   + typedef instead of faking type definitions
  6843   + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  6844   + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  6845   + eliminated the types void, one, tr
  6846   + use unit lift and bool lift (with translations) instead of one and tr
  6847   + eliminated blift from Lift3.thy (use Def instead of blift)
  6848   all eliminated rules are derived as theorems --> no visible changes ;
  6849 
  6850 
  6851 *** ZF ***
  6852 
  6853 * ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
  6854 rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
  6855 as ZF_cs addSIs [equalityI];
  6856 
  6857 
  6858 
  6859 New in Isabelle94-7 (November 96)
  6860 ---------------------------------
  6861 
  6862 * allowing negative levels (as offsets) in prlev and choplev;
  6863 
  6864 * super-linear speedup for large simplifications;
  6865 
  6866 * FOL, ZF and HOL now use miniscoping: rewriting pushes
  6867 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
  6868 FAIL); can suppress it using the command Delsimps (ex_simps @
  6869 all_simps); De Morgan laws are also now included, by default;
  6870 
  6871 * improved printing of ==>  :  ~:
  6872 
  6873 * new object-logic "Sequents" adds linear logic, while replacing LK
  6874 and Modal (thanks to Sara Kalvala);
  6875 
  6876 * HOL/Auth: correctness proofs for authentication protocols;
  6877 
  6878 * HOL: new auto_tac combines rewriting and classical reasoning (many
  6879 examples on HOL/Auth);
  6880 
  6881 * HOL: new command AddIffs for declaring theorems of the form P=Q to
  6882 the rewriter and classical reasoner simultaneously;
  6883 
  6884 * function uresult no longer returns theorems in "standard" format;
  6885 regain previous version by: val uresult = standard o uresult;
  6886 
  6887 
  6888 
  6889 New in Isabelle94-6
  6890 -------------------
  6891 
  6892 * oracles -- these establish an interface between Isabelle and trusted
  6893 external reasoners, which may deliver results as theorems;
  6894 
  6895 * proof objects (in particular record all uses of oracles);
  6896 
  6897 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
  6898 
  6899 * "constdefs" section in theory files;
  6900 
  6901 * "primrec" section (HOL) no longer requires names;
  6902 
  6903 * internal type "tactic" now simply "thm -> thm Sequence.seq";
  6904 
  6905 
  6906 
  6907 New in Isabelle94-5
  6908 -------------------
  6909 
  6910 * reduced space requirements;
  6911 
  6912 * automatic HTML generation from theories;
  6913 
  6914 * theory files no longer require "..." (quotes) around most types;
  6915 
  6916 * new examples, including two proofs of the Church-Rosser theorem;
  6917 
  6918 * non-curried (1994) version of HOL is no longer distributed;
  6919 
  6920 
  6921 
  6922 New in Isabelle94-4
  6923 -------------------
  6924 
  6925 * greatly reduced space requirements;
  6926 
  6927 * theory files (.thy) no longer require \...\ escapes at line breaks;
  6928 
  6929 * searchable theorem database (see the section "Retrieving theorems" on
  6930 page 8 of the Reference Manual);
  6931 
  6932 * new examples, including Grabczewski's monumental case study of the
  6933 Axiom of Choice;
  6934 
  6935 * The previous version of HOL renamed to Old_HOL;
  6936 
  6937 * The new version of HOL (previously called CHOL) uses a curried syntax
  6938 for functions.  Application looks like f a b instead of f(a,b);
  6939 
  6940 * Mutually recursive inductive definitions finally work in HOL;
  6941 
  6942 * In ZF, pattern-matching on tuples is now available in all abstractions and
  6943 translates to the operator "split";
  6944 
  6945 
  6946 
  6947 New in Isabelle94-3
  6948 -------------------
  6949 
  6950 * new infix operator, addss, allowing the classical reasoner to
  6951 perform simplification at each step of its search.  Example:
  6952         fast_tac (cs addss ss)
  6953 
  6954 * a new logic, CHOL, the same as HOL, but with a curried syntax
  6955 for functions.  Application looks like f a b instead of f(a,b).  Also pairs
  6956 look like (a,b) instead of <a,b>;
  6957 
  6958 * PLEASE NOTE: CHOL will eventually replace HOL!
  6959 
  6960 * In CHOL, pattern-matching on tuples is now available in all abstractions.
  6961 It translates to the operator "split".  A new theory of integers is available;
  6962 
  6963 * In ZF, integer numerals now denote two's-complement binary integers.
  6964 Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
  6965 
  6966 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
  6967 of the Axiom of Choice;
  6968 
  6969 
  6970 
  6971 New in Isabelle94-2
  6972 -------------------
  6973 
  6974 * Significantly faster resolution;
  6975 
  6976 * the different sections in a .thy file can now be mixed and repeated
  6977 freely;
  6978 
  6979 * Database of theorems for FOL, HOL and ZF.  New
  6980 commands including qed, qed_goal and bind_thm store theorems in the database.
  6981 
  6982 * Simple database queries: return a named theorem (get_thm) or all theorems of
  6983 a given theory (thms_of), or find out what theory a theorem was proved in
  6984 (theory_of_thm);
  6985 
  6986 * Bugs fixed in the inductive definition and datatype packages;
  6987 
  6988 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
  6989 and HOL_dup_cs obsolete;
  6990 
  6991 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
  6992 have been removed;
  6993 
  6994 * Simpler definition of function space in ZF;
  6995 
  6996 * new results about cardinal and ordinal arithmetic in ZF;
  6997 
  6998 * 'subtype' facility in HOL for introducing new types as subsets of existing
  6999 types;
  7000 
  7001 :mode=text:wrap=hard:maxLineLen=72: