1 Isabelle NEWS -- history user-relevant changes
2 ==============================================
4 New in this Isabelle version
5 ----------------------------
9 * Syntax: symbol \<chi> is now considered a letter. Potential
10 INCOMPATIBILITY in identifier syntax etc.
12 * Outer syntax: string tokens may contain arbitrary character codes
13 specified via 3 decimal digits (as in SML). E.g. "foo\095bar" for
19 * Instantiation target allows for simultaneous specification of class
20 instance operations together with an instantiation proof.
21 Type-checking phase allows to refer to class operations uniformly.
22 See HOL/Complex/Complex.thy for an Isar example and
23 HOL/Library/Eval.thy for an ML example. Supersedes previous
24 experimental versions.
29 * Theorems "power.simps" renamed to "power_int.simps".
31 * New class semiring_div provides basic abstract properties of semirings
32 with division and modulo operations. Subsumes former class dvd_mod.
34 * Merged theories IntDef, Numeral and IntArith into unified theory Int.
37 * Theory Library/Code_Index: type "index" now represents natural numbers rather
38 than integers. INCOMPATIBILITY.
40 * New class "uminus" with operation "uminus" (split of from class "minus"
41 which now only has operation "minus", binary). INCOMPATIBILITY.
43 * New primrec package. Specification syntax conforms in style to
44 definition/function/.... No separate induction rule is provided.
45 The "primrec" command distinguishes old-style and new-style specifications
46 by syntax. The former primrec package is now named OldPrimrecPackage.
47 When adjusting theories, beware: constants stemming for new-style
48 primrec specifications have authentic syntax.
50 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
52 * Library/ListSpace: new theory of arithmetic vector operations.
54 * Constants "card", "internal_split", "option_map" now with authentic
55 syntax. INCOMPATIBILITY.
57 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
58 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
59 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
60 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
61 Sup_set_def, le_def, less_def, option_map_def now with object
62 equality. INCOMPATIBILITY.
64 * New method "induction_scheme" derives user-specified induction rules
65 from wellfounded induction and completeness of patterns. This factors
66 out some operations that are done internally by the function package
67 and makes them available separately. See "HOL/ex/Induction_Scheme.thy"
70 * Records. Removed K_record, and replaced it by pure lambda term
71 %x. c. The simplifier setup is now more robust against eta expansion.
72 INCOMPATIBILITY: in cases explicitly referring to K_record.
74 * Metis prover is now an order of magnitude faster, and also works
80 * The ``print mode'' is now a thread-local value derived from a global
81 template (the former print_mode reference), thus access becomes
82 non-critical. The global print_mode reference is for session
83 management only; user-code should use print_mode_value,
84 print_mode_active, PrintMode.setmp etc. INCOMPATIBILITY.
89 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs here
90 --- in accordance with Proof General 3.7, which prefers GNU emacs.
92 * Multithreading.max_threads := 0 refers to the number of actual CPU
93 cores of the underlying machine, which is a good starting point for
94 optimal performance tuning. The corresponding usedir option -M allows
95 "max" as an alias for "0". WARNING: does not work on certain versions
96 of Mac OS (with Poly/ML 5.1).
98 * isatool tty runs Isabelle process with plain tty interaction;
99 optional line editor may be specified via ISABELLE_LINE_EDITOR
100 setting, the default settings attempt to locate "ledit" and "rlwrap".
102 * isatool browser now works with Cygwin as well, using general
103 "javapath" function defined in Isabelle process environment.
105 * isabelle-process: non-ML sessions are run with "nice", to prevent
106 Isabelle from flooding interactive front-ends (notably ProofGeneral /
109 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
110 provides general wrapper for managing an Isabelle process in a robust
111 fashion, with ``cooked'' output from stdin/stderr.
113 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
114 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
118 New in Isabelle2007 (November 2007)
119 -----------------------------------
123 * More uniform information about legacy features, notably a
124 warning/error of "Legacy feature: ...", depending on the state of the
125 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
126 legacy features will disappear eventually.
128 * Theory syntax: the header format ``theory A = B + C:'' has been
129 discontinued in favour of ``theory A imports B C begin''. Use isatool
130 fixheaders to convert existing theory files. INCOMPATIBILITY.
132 * Theory syntax: the old non-Isar theory file format has been
133 discontinued altogether. Note that ML proof scripts may still be used
134 with Isar theories; migration is usually quite simple with the ML
135 function use_legacy_bindings. INCOMPATIBILITY.
137 * Theory syntax: some popular names (e.g. 'class', 'declaration',
138 'fun', 'help', 'if') are now keywords. INCOMPATIBILITY, use double
141 * Theory loader: be more serious about observing the static theory
142 header specifications (including optional directories), but not the
143 accidental file locations of previously successful loads. The strict
144 update policy of former update_thy is now already performed by
145 use_thy, so the former has been removed; use_thys updates several
146 theories simultaneously, just as 'imports' within a theory header
147 specification, but without merging the results. Potential
148 INCOMPATIBILITY: may need to refine theory headers and commands
149 ROOT.ML which depend on load order.
151 * Theory loader: optional support for content-based file
152 identification, instead of the traditional scheme of full physical
153 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
154 (cf. the system manual). The new scheme allows to work with
155 non-finished theories in persistent session images, such that source
156 files may be moved later on without requiring reloads.
158 * Theory loader: old-style ML proof scripts being *attached* to a thy
159 file (with the same base name as the theory) are considered a legacy
160 feature, which will disappear eventually. Even now, the theory loader
161 no longer maintains dependencies on such files.
163 * Syntax: the scope for resolving ambiguities via type-inference is
164 now limited to individual terms, instead of whole simultaneous
165 specifications as before. This greatly reduces the complexity of the
166 syntax module and improves flexibility by separating parsing and
167 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
168 'fixes' etc.) are required in rare situations.
170 * Syntax: constants introduced by new-style packages ('definition',
171 'abbreviation' etc.) are passed through the syntax module in
172 ``authentic mode''. This means that associated mixfix annotations
173 really stick to such constants, independently of potential name space
174 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
175 trees are represented slightly differently, may need to adapt syntax
176 translations accordingly. Use CONST marker in 'translations' and
177 @{const_syntax} antiquotation in 'parse_translation' etc.
179 * Legacy goal package: reduced interface to the bare minimum required
180 to keep existing proof scripts running. Most other user-level
181 functions are now part of the OldGoals structure, which is *not* open
182 by default (consider isatool expandshort before open OldGoals).
183 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
184 these tend to cause confusion about the actual goal (!) context being
185 used here, which is not necessarily the same as the_context().
187 * Command 'find_theorems': supports "*" wild-card in "name:"
188 criterion; "with_dups" option. Certain ProofGeneral versions might
189 support a specific search form (see ProofGeneral/CHANGES).
191 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
192 by default, which means that "prems" (and also "fixed variables") are
193 suppressed from proof state output. Note that the ProofGeneral
194 settings mechanism allows to change and save options persistently, but
195 older versions of Isabelle will fail to start up if a negative prems
198 * Local theory targets may be specified by non-nested blocks of
199 ``context/locale/class ... begin'' followed by ``end''. The body may
200 contain definitions, theorems etc., including any derived mechanism
201 that has been implemented on top of these primitives. This concept
202 generalizes the existing ``theorem (in ...)'' towards more versatility
205 * Proof General interface: proper undo of final 'end' command;
206 discontinued Isabelle/classic mode (ML proof scripts).
209 *** Document preparation ***
211 * Added antiquotation @{theory name} which prints the given name,
212 after checking that it refers to a valid ancestor theory in the
215 * Added antiquotations @{ML_type text} and @{ML_struct text} which
216 check the given source text as ML type/structure, printing verbatim.
218 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
219 "c args == rhs" given in the current context. (Any number of
220 arguments may be given on the LHS.)
225 * The 'class' package offers a combination of axclass and locale to
226 achieve Haskell-like type classes in Isabelle. Definitions and
227 theorems within a class context produce both relative results (with
228 implicit parameters according to the locale context), and polymorphic
229 constants with qualified polymorphism (according to the class
230 context). Within the body context of a 'class' target, a separate
231 syntax layer ("user space type system") takes care of converting
232 between global polymorphic consts and internal locale representation.
233 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
234 "isatool doc classes" provides a tutorial.
236 * Generic code generator framework allows to generate executable
237 code for ML and Haskell (including Isabelle classes). A short usage
240 internal compilation:
241 export_code <list of constants (term syntax)> in SML
242 writing SML code to a file:
243 export_code <list of constants (term syntax)> in SML <filename>
244 writing OCaml code to a file:
245 export_code <list of constants (term syntax)> in OCaml <filename>
246 writing Haskell code to a bunch of files:
247 export_code <list of constants (term syntax)> in Haskell <filename>
249 evaluating closed propositions to True/False using code generation:
252 Reasonable default setup of framework in HOL.
254 Theorem attributs for selecting and transforming function equations theorems:
256 [code fun]: select a theorem as function equation for a specific constant
257 [code fun del]: deselect a theorem as function equation for a specific constant
258 [code inline]: select an equation theorem for unfolding (inlining) in place
259 [code inline del]: deselect an equation theorem for unfolding (inlining) in place
261 User-defined serializations (target in {SML, OCaml, Haskell}):
263 code_const <and-list of constants (term syntax)>
264 {(target) <and-list of const target syntax>}+
266 code_type <and-list of type constructors>
267 {(target) <and-list of type target syntax>}+
269 code_instance <and-list of instances>
271 where instance ::= <type constructor> :: <class>
273 code_class <and_list of classes>
274 {(target) <and-list of class target syntax>}+
275 where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
277 code_instance and code_class only are effective to target Haskell.
279 For example usage see src/HOL/ex/Codegenerator.thy and
280 src/HOL/ex/Codegenerator_Pretty.thy. A separate tutorial on code
281 generation from Isabelle/HOL theories is available via "isatool doc
284 * Code generator: consts in 'consts_code' Isar commands are now
285 referred to by usual term syntax (including optional type
288 * Command 'no_translations' removes translation rules from theory
291 * Overloaded definitions are now actually checked for acyclic
292 dependencies. The overloading scheme is slightly more general than
293 that of Haskell98, although Isabelle does not demand an exact
294 correspondence to type class and instance declarations.
295 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
296 exotic versions of overloading -- at the discretion of the user!
298 Polymorphic constants are represented via type arguments, i.e. the
299 instantiation that matches an instance against the most general
300 declaration given in the signature. For example, with the declaration
301 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
302 as c(nat). Overloading is essentially simultaneous structural
303 recursion over such type arguments. Incomplete specification patterns
304 impose global constraints on all occurrences, e.g. c('a * 'a) on the
305 LHS means that more general c('a * 'b) will be disallowed on any RHS.
306 Command 'print_theory' outputs the normalized system of recursive
307 equations, see section "definitions".
309 * Configuration options are maintained within the theory or proof
310 context (with name and type bool/int/string), providing a very simple
311 interface to a poor-man's version of general context data. Tools may
312 declare options in ML (e.g. using Attrib.config_int) and then refer to
313 these values using Config.get etc. Users may change options via an
314 associated attribute of the same name. This form of context
315 declaration works particularly well with commands 'declare' or
316 'using', for example ``declare [[foo = 42]]''. Thus it has become
317 very easy to avoid global references, which would not observe Isar
318 toplevel undo/redo and fail to work with multithreading.
320 Various global ML references of Pure and HOL have been turned into
321 configuration options:
323 Unify.search_bound unify_search_bound
324 Unify.trace_bound unify_trace_bound
325 Unify.trace_simp unify_trace_simp
326 Unify.trace_types unify_trace_types
327 Simplifier.simp_depth_limit simp_depth_limit
328 Blast.depth_limit blast_depth_limit
329 DatatypeProp.dtK datatype_distinctness_limit
330 fast_arith_neq_limit fast_arith_neq_limit
331 fast_arith_split_limit fast_arith_split_limit
333 * Named collections of theorems may be easily installed as context
334 data using the functor NamedThmsFun (see also
335 src/Pure/Tools/named_thms.ML). The user may add or delete facts via
336 attributes; there is also a toplevel print command. This facility is
337 just a common case of general context data, which is the preferred way
338 for anything more complex than just a list of facts in canonical
341 * Isar: command 'declaration' augments a local theory by generic
342 declaration functions written in ML. This enables arbitrary content
343 being added to the context, depending on a morphism that tells the
344 difference of the original declaration context wrt. the application
345 context encountered later on.
347 * Isar: proper interfaces for simplification procedures. Command
348 'simproc_setup' declares named simprocs (with match patterns, and body
349 text in ML). Attribute "simproc" adds/deletes simprocs in the current
350 context. ML antiquotation @{simproc name} retrieves named simprocs.
352 * Isar: an extra pair of brackets around attribute declarations
353 abbreviates a theorem reference involving an internal dummy fact,
354 which will be ignored later --- only the effect of the attribute on
355 the background context will persist. This form of in-place
356 declarations is particularly useful with commands like 'declare' and
357 'using', for example ``have A using [[simproc a]] by simp''.
359 * Isar: method "assumption" (and implicit closing of subproofs) now
360 takes simple non-atomic goal assumptions into account: after applying
361 an assumption as a rule the resulting subgoals are solved by atomic
362 assumption steps. This is particularly useful to finish 'obtain'
363 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
364 without referring to the original premise "!!x. P x ==> thesis" in the
365 Isar proof context. POTENTIAL INCOMPATIBILITY: method "assumption" is
368 * Isar: implicit use of prems from the Isar proof context is
369 considered a legacy feature. Common applications like ``have A .''
370 may be replaced by ``have A by fact'' or ``note `A`''. In general,
371 referencing facts explicitly here improves readability and
372 maintainability of proof texts.
374 * Isar: improper proof element 'guess' is like 'obtain', but derives
375 the obtained context from the course of reasoning! For example:
377 assume "EX x y. A x & B y" -- "any previous fact"
378 then guess x and y by clarify
380 This technique is potentially adventurous, depending on the facts and
381 proof tools being involved here.
383 * Isar: known facts from the proof context may be specified as literal
384 propositions, using ASCII back-quote syntax. This works wherever
385 named facts used to be allowed so far, in proof commands, proof
386 methods, attributes etc. Literal facts are retrieved from the context
387 according to unification of type and term parameters. For example,
388 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
389 theorems in the current context, then these are valid literal facts:
390 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
392 There is also a proof method "fact" which does the same composition
393 for explicit goal states, e.g. the following proof texts coincide with
394 certain special cases of literal facts:
396 have "A" by fact == note `A`
397 have "A ==> B" by fact == note `A ==> B`
398 have "!!x. P x ==> Q x" by fact == note `!!x. P x ==> Q x`
399 have "P a ==> Q a" by fact == note `P a ==> Q a`
401 * Isar: ":" (colon) is no longer a symbolic identifier character in
402 outer syntax. Thus symbolic identifiers may be used without
403 additional white space in declarations like this: ``assume *: A''.
405 * Isar: 'print_facts' prints all local facts of the current context,
406 both named and unnamed ones.
408 * Isar: 'def' now admits simultaneous definitions, e.g.:
410 def x == "t" and y == "u"
412 * Isar: added command 'unfolding', which is structurally similar to
413 'using', but affects both the goal state and facts by unfolding given
414 rewrite rules. Thus many occurrences of the 'unfold' method or
415 'unfolded' attribute may be replaced by first-class proof text.
417 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
418 and command 'unfolding' now all support object-level equalities
419 (potentially conditional). The underlying notion of rewrite rule is
420 analogous to the 'rule_format' attribute, but *not* that of the
421 Simplifier (which is usually more generous).
423 * Isar: the new attribute [rotated n] (default n = 1) rotates the
424 premises of a theorem by n. Useful in conjunction with drule.
426 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
427 method expression within a sandbox consisting of the first N
428 sub-goals, which need to exist. For example, ``simp_all [3]''
429 simplifies the first three sub-goals, while (rule foo, simp_all)[]
430 simplifies all new goals that emerge from applying rule foo to the
431 originally first one.
433 * Isar: schematic goals are no longer restricted to higher-order
434 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
437 * Isar: the conclusion of a long theorem statement is now either
438 'shows' (a simultaneous conjunction, as before), or 'obtains'
439 (essentially a disjunction of cases with local parameters and
440 assumptions). The latter allows to express general elimination rules
441 adequately; in this notation common elimination rules look like this:
443 lemma exE: -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
445 obtains x where "P x"
447 lemma conjE: -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
451 lemma disjE: -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
457 The subsequent classical rules even refer to the formal "thesis"
460 lemma classical: -- "(~ thesis ==> thesis) ==> thesis"
463 lemma Peirce's_Law: -- "((thesis ==> something) ==> thesis) ==> thesis"
464 obtains "thesis ==> something"
466 The actual proof of an 'obtains' statement is analogous to that of the
467 Isar proof element 'obtain', only that there may be several cases.
468 Optional case names may be specified in parentheses; these will be
469 available both in the present proof and as annotations in the
470 resulting rule, for later use with the 'cases' method (cf. attribute
473 * Isar: the assumptions of a long theorem statement are available as
474 "assms" fact in the proof context. This is more appropriate than the
475 (historical) "prems", which refers to all assumptions of the current
476 context, including those from the target locale, proof body etc.
478 * Isar: 'print_statement' prints theorems from the current theory or
479 proof context in long statement form, according to the syntax of a
482 * Isar: 'obtain' takes an optional case name for the local context
483 introduction rule (default "that").
485 * Isar: removed obsolete 'concl is' patterns. INCOMPATIBILITY, use
486 explicit (is "_ ==> ?foo") in the rare cases where this still happens
489 * Pure: syntax "CONST name" produces a fully internalized constant
490 according to the current context. This is particularly useful for
491 syntax translations that should refer to internal constant
492 representations independently of name spaces.
494 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
495 instead of "FOO ". This allows multiple binder declarations to coexist
496 in the same context. INCOMPATIBILITY.
498 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
499 primitive that also works in a locale context (both for constants and
500 fixed variables). Type declaration and internal syntactic representation
501 of given constants retrieved from the context. Likewise, the
502 'no_notation' command allows to remove given syntax annotations from the
505 * Isar/locales: new derived specification elements 'axiomatization',
506 'definition', 'abbreviation', which support type-inference, admit
507 object-level specifications (equality, equivalence). See also the
508 isar-ref manual. Examples:
511 eq (infix "===" 50) where
512 eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
514 definition "f x y = x + y + 1"
515 definition g where "g x = f x x"
518 neq (infix "=!=" 50) where
519 "x =!= y == ~ (x === y)"
521 These specifications may be also used in a locale context. Then the
522 constants being introduced depend on certain fixed parameters, and the
523 constant name is qualified by the locale base name. An internal
524 abbreviation takes care for convenient input and output, making the
525 parameters implicit and using the original short name. See also
526 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
527 entities from a monomorphic theory.
529 Presently, abbreviations are only available 'in' a target locale, but
530 not inherited by general import expressions. Also note that
531 'abbreviation' may be used as a type-safe replacement for 'syntax' +
532 'translations' in common applications. The "no_abbrevs" print mode
533 prevents folding of abbreviations in term output.
535 Concrete syntax is attached to specified constants in internal form,
536 independently of name spaces. The parse tree representation is
537 slightly different -- use 'notation' instead of raw 'syntax', and
538 'translations' with explicit "CONST" markup to accommodate this.
540 * Pure/Isar: unified syntax for new-style specification mechanisms
541 (e.g. 'definition', 'abbreviation', or 'inductive' in HOL) admits
542 full type inference and dummy patterns ("_"). For example:
544 definition "K x _ = x"
546 inductive conj for A B
547 where "A ==> B ==> conj A B"
549 * Pure: command 'print_abbrevs' prints all constant abbreviations of
550 the current context. Print mode "no_abbrevs" prevents inversion of
551 abbreviations on output.
553 * Isar/locales: improved parameter handling: use of locales "var" and
554 "struct" no longer necessary; - parameter renamings are no longer
555 required to be injective. For example, this allows to define
556 endomorphisms as locale endom = homom mult mult h.
558 * Isar/locales: changed the way locales with predicates are defined.
559 Instead of accumulating the specification, the imported expression is
560 now an interpretation. INCOMPATIBILITY: different normal form of
561 locale expressions. In particular, in interpretations of locales with
562 predicates, goals repesenting already interpreted fragments are not
563 removed automatically. Use methods `intro_locales' and
564 `unfold_locales'; see below.
566 * Isar/locales: new methods `intro_locales' and `unfold_locales'
567 provide backward reasoning on locales predicates. The methods are
568 aware of interpretations and discharge corresponding goals.
569 `intro_locales' is less aggressive then `unfold_locales' and does not
570 unfold predicates to assumptions.
572 * Isar/locales: the order in which locale fragments are accumulated
573 has changed. This enables to override declarations from fragments due
574 to interpretations -- for example, unwanted simp rules.
576 * Isar/locales: interpretation in theories and proof contexts has been
577 extended. One may now specify (and prove) equations, which are
578 unfolded in interpreted theorems. This is useful for replacing
579 defined concepts (constants depending on locale parameters) by
580 concepts already existing in the target context. Example:
582 interpretation partial_order ["op <= :: [int, int] => bool"]
583 where "partial_order.less (op <=) (x::int) y = (x < y)"
585 Typically, the constant `partial_order.less' is created by a
586 definition specification element in the context of locale
589 * Method "induct": improved internal context management to support
590 local fixes and defines on-the-fly. Thus explicit meta-level
591 connectives !! and ==> are rarely required anymore in inductive goals
592 (using object-logic connectives for this purpose has been long
593 obsolete anyway). Common proof patterns are explained in
594 src/HOL/Induct/Common_Patterns.thy, see also
595 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
598 * Method "induct": improved handling of simultaneous goals. Instead of
599 introducing object-level conjunction, the statement is now split into
600 several conclusions, while the corresponding symbolic cases are nested
601 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
602 see src/HOL/Induct/Common_Patterns.thy, for example.
604 * Method "induct": mutual induction rules are now specified as a list
605 of rule sharing the same induction cases. HOL packages usually provide
606 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
607 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
608 mutual induction rules differently, i.e. like this:
610 (induct rule: foo_bar.inducts)
611 (induct set: foo bar)
612 (induct pred: foo bar)
613 (induct type: foo bar)
615 The ML function ProjectRule.projections turns old-style rules into the
618 * Method "coinduct": dual of induction, see
619 src/HOL/Library/Coinductive_List.thy for various examples.
621 * Method "cases", "induct", "coinduct": the ``(open)'' option is
622 considered a legacy feature.
624 * Attribute "symmetric" produces result with standardized schematic
625 variables (index 0). Potential INCOMPATIBILITY.
627 * Simplifier: by default the simplifier trace only shows top level
628 rewrites now. That is, trace_simp_depth_limit is set to 1 by
629 default. Thus there is less danger of being flooded by the trace. The
630 trace indicates where parts have been suppressed.
632 * Provers/classical: removed obsolete classical version of elim_format
633 attribute; classical elim/dest rules are now treated uniformly when
634 manipulating the claset.
636 * Provers/classical: stricter checks to ensure that supplied intro,
637 dest and elim rules are well-formed; dest and elim rules must have at
640 * Provers/classical: attributes dest/elim/intro take an optional
641 weight argument for the rule (just as the Pure versions). Weights are
642 ignored by automated tools, but determine the search order of single
645 * Syntax: input syntax now supports dummy variable binding "%_. b",
646 where the body does not mention the bound variable. Note that dummy
647 patterns implicitly depend on their context of bounds, which makes
648 "{_. _}" match any set comprehension as expected. Potential
649 INCOMPATIBILITY -- parse translations need to cope with syntactic
650 constant "_idtdummy" in the binding position.
652 * Syntax: removed obsolete syntactic constant "_K" and its associated
653 parse translation. INCOMPATIBILITY -- use dummy abstraction instead,
654 for example "A -> B" => "Pi A (%_. B)".
656 * Pure: 'class_deps' command visualizes the subclass relation, using
657 the graph browser tool.
659 * Pure: 'print_theory' now suppresses certain internal declarations by
660 default; use '!' option for full details.
665 * Method "metis" proves goals by applying the Metis general-purpose
666 resolution prover (see also http://gilith.com/software/metis/).
667 Examples are in the directory MetisExamples. WARNING: the
668 Isabelle/HOL-Metis integration does not yet work properly with
671 * Command 'sledgehammer' invokes external automatic theorem provers as
672 background processes. It generates calls to the "metis" method if
673 successful. These can be pasted into the proof. Users do not have to
674 wait for the automatic provers to return. WARNING: does not really
675 work with multi-threading.
677 * New "auto_quickcheck" feature tests outermost goal statements for
678 potential counter-examples. Controlled by ML references
679 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
680 5000 milliseconds). Fails silently if statements is outside of
681 executable fragment, or any other codgenerator problem occurs.
683 * New constant "undefined" with axiom "undefined x = undefined".
685 * Added class "HOL.eq", allowing for code generation with polymorphic
688 * Some renaming of class constants due to canonical name prefixing in
689 the new 'class' package:
691 HOL.abs ~> HOL.abs_class.abs
692 HOL.divide ~> HOL.divide_class.divide
693 0 ~> HOL.zero_class.zero
694 1 ~> HOL.one_class.one
695 op + ~> HOL.plus_class.plus
696 op - ~> HOL.minus_class.minus
697 uminus ~> HOL.minus_class.uminus
698 op * ~> HOL.times_class.times
699 op < ~> HOL.ord_class.less
700 op <= > HOL.ord_class.less_eq
701 Nat.power ~> Power.power_class.power
702 Nat.size ~> Nat.size_class.size
703 Numeral.number_of ~> Numeral.number_class.number_of
704 FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
705 FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
706 Orderings.min ~> Orderings.ord_class.min
707 Orderings.max ~> Orderings.ord_class.max
708 Divides.op div ~> Divides.div_class.div
709 Divides.op mod ~> Divides.div_class.mod
710 Divides.op dvd ~> Divides.div_class.dvd
712 INCOMPATIBILITY. Adaptions may be required in the following cases:
714 a) User-defined constants using any of the names "plus", "minus",
715 "times", "less" or "less_eq". The standard syntax translations for
716 "+", "-" and "*" may go wrong. INCOMPATIBILITY: use more specific
719 b) Variables named "plus", "minus", "times", "less", "less_eq"
720 INCOMPATIBILITY: use more specific names.
722 c) Permutative equations (e.g. "a + b = b + a")
723 Since the change of names also changes the order of terms, permutative
724 rewrite rules may get applied in a different order. Experience shows
725 that this is rarely the case (only two adaptions in the whole Isabelle
726 distribution). INCOMPATIBILITY: rewrite proofs
728 d) ML code directly refering to constant names
729 This in general only affects hand-written proof tactics, simprocs and
730 so on. INCOMPATIBILITY: grep your sourcecode and replace names.
731 Consider using @{const_name} antiquotation.
733 * New class "default" with associated constant "default".
735 * Function "sgn" is now overloaded and available on int, real, complex
736 (and other numeric types), using class "sgn". Two possible defs of
737 sgn are given as equational assumptions in the classes sgn_if and
738 sgn_div_norm; ordered_idom now also inherits from sgn_if.
741 * Locale "partial_order" now unified with class "order" (cf. theory
742 Orderings), added parameter "less". INCOMPATIBILITY.
744 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
745 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
746 clashes with HOL "refl" and "trans". INCOMPATIBILITY.
748 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
749 changed order of proof goals in instance proofs.
751 * The transitivity reasoner for partial and linear orders is set up
752 for classes "order" and "linorder". Instances of the reasoner are available
753 in all contexts importing or interpreting the corresponding locales.
754 Method "order" invokes the reasoner separately; the reasoner
755 is also integrated with the Simplifier as a solver. Diagnostic
756 command 'print_orders' shows the available instances of the reasoner
757 in the current context.
759 * Localized monotonicity predicate in theory "Orderings"; integrated
760 lemmas max_of_mono and min_of_mono with this predicate.
763 * Formulation of theorem "dense" changed slightly due to integration
764 with new class dense_linear_order.
766 * Uniform lattice theory development in HOL.
768 constants "meet" and "join" now named "inf" and "sup"
769 constant "Meet" now named "Inf"
771 classes "meet_semilorder" and "join_semilorder" now named
772 "lower_semilattice" and "upper_semilattice"
773 class "lorder" now named "lattice"
774 class "comp_lat" now named "complete_lattice"
776 Instantiation of lattice classes allows explicit definitions
777 for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
779 INCOMPATIBILITY. Theorem renames:
781 meet_left_le ~> inf_le1
782 meet_right_le ~> inf_le2
783 join_left_le ~> sup_ge1
784 join_right_le ~> sup_ge2
785 meet_join_le ~> inf_sup_ord
788 le_meet ~> le_inf_iff
789 le_join ~> ge_sup_conv
790 meet_idempotent ~> inf_idem
791 join_idempotent ~> sup_idem
792 meet_comm ~> inf_commute
793 join_comm ~> sup_commute
794 meet_leI1 ~> le_infI1
795 meet_leI2 ~> le_infI2
796 le_joinI1 ~> le_supI1
797 le_joinI2 ~> le_supI2
798 meet_assoc ~> inf_assoc
799 join_assoc ~> sup_assoc
800 meet_left_comm ~> inf_left_commute
801 meet_left_idempotent ~> inf_left_idem
802 join_left_comm ~> sup_left_commute
803 join_left_idempotent ~> sup_left_idem
806 le_def_meet ~> le_iff_inf
807 le_def_join ~> le_iff_sup
808 join_absorp2 ~> sup_absorb2
809 join_absorp1 ~> sup_absorb1
810 meet_absorp1 ~> inf_absorb1
811 meet_absorp2 ~> inf_absorb2
812 meet_join_absorp ~> inf_sup_absorb
813 join_meet_absorp ~> sup_inf_absorb
814 distrib_join_le ~> distrib_sup_le
815 distrib_meet_le ~> distrib_inf_le
817 add_meet_distrib_left ~> add_inf_distrib_left
818 add_join_distrib_left ~> add_sup_distrib_left
819 is_join_neg_meet ~> is_join_neg_inf
820 is_meet_neg_join ~> is_meet_neg_sup
821 add_meet_distrib_right ~> add_inf_distrib_right
822 add_join_distrib_right ~> add_sup_distrib_right
823 add_meet_join_distribs ~> add_sup_inf_distribs
824 join_eq_neg_meet ~> sup_eq_neg_inf
825 meet_eq_neg_join ~> inf_eq_neg_sup
826 add_eq_meet_join ~> add_eq_inf_sup
827 meet_0_imp_0 ~> inf_0_imp_0
828 join_0_imp_0 ~> sup_0_imp_0
829 meet_0_eq_0 ~> inf_0_eq_0
830 join_0_eq_0 ~> sup_0_eq_0
831 neg_meet_eq_join ~> neg_inf_eq_sup
832 neg_join_eq_meet ~> neg_sup_eq_inf
833 join_eq_if ~> sup_eq_if
835 mono_meet ~> mono_inf
836 mono_join ~> mono_sup
837 meet_bool_eq ~> inf_bool_eq
838 join_bool_eq ~> sup_bool_eq
839 meet_fun_eq ~> inf_fun_eq
840 join_fun_eq ~> sup_fun_eq
841 meet_set_eq ~> inf_set_eq
842 join_set_eq ~> sup_set_eq
843 meet1_iff ~> inf1_iff
844 meet2_iff ~> inf2_iff
853 join1_iff ~> sup1_iff
854 join2_iff ~> sup2_iff
864 is_meet_Meet ~> is_meet_Inf
865 Meet_bool_def ~> Inf_bool_def
866 Meet_fun_def ~> Inf_fun_def
867 Meet_greatest ~> Inf_greatest
868 Meet_lower ~> Inf_lower
869 Meet_set_def ~> Inf_set_def
872 Sup_bool_eq ~> Sup_bool_def
873 Sup_fun_eq ~> Sup_fun_def
874 Sup_set_eq ~> Sup_set_def
876 listsp_meetI ~> listsp_infI
877 listsp_meet_eq ~> listsp_inf_eq
882 * Added syntactic class "size"; overloaded constant "size" now has
883 type "'a::size ==> bool"
885 * Internal reorganisation of `size' of datatypes: size theorems
886 "foo.size" are no longer subsumed by "foo.simps" (but are still
887 simplification rules by default!); theorems "prod.size" now named
890 * Class "div" now inherits from class "times" rather than "type".
893 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
894 Linorder etc. have disappeared; operations defined in terms of
895 fold_set now are named Inf_fin, Sup_fin. INCOMPATIBILITY.
897 * HOL/Nat: neq0_conv no longer declared as iff. INCOMPATIBILITY.
899 * HOL-Word: New extensive library and type for generic, fixed size
900 machine words, with arithemtic, bit-wise, shifting and rotating
901 operations, reflection into int, nat, and bool lists, automation for
902 linear arithmetic (by automatic reflection into nat or int), including
903 lemmas on overflow and monotonicity. Instantiated to all appropriate
904 arithmetic type classes, supporting automatic simplification of
905 numerals on all operations.
907 * Library/Boolean_Algebra: locales for abstract boolean algebras.
909 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
911 * Code generator library theories:
912 - Code_Integer represents HOL integers by big integer literals in target
914 - Code_Char represents HOL characters by character literals in target
916 - Code_Char_chr like Code_Char, but also offers treatment of character
917 codes; includes Code_Integer.
918 - Executable_Set allows to generate code for finite sets using lists.
919 - Executable_Rat implements rational numbers as triples (sign, enumerator,
921 - Executable_Real implements a subset of real numbers, namly those
922 representable by rational numbers.
923 - Efficient_Nat implements natural numbers by integers, which in general will
924 result in higher efficency; pattern matching with 0/Suc is eliminated;
925 includes Code_Integer.
926 - Code_Index provides an additional datatype index which is mapped to
927 target-language built-in integers.
928 - Code_Message provides an additional datatype message_string} which is isomorphic to
929 strings; messages are mapped to target-language strings.
931 * New package for inductive predicates
933 An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
936 p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
937 for z_1 :: U_1 and ... and z_n :: U_m
939 rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
942 with full support for type-inference, rather than
944 consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
946 abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
947 where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
949 inductive "s z_1 ... z_m"
951 rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
954 For backward compatibility, there is a wrapper allowing inductive
955 sets to be defined with the new package via
958 s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
959 for z_1 :: U_1 and ... and z_n :: U_m
961 rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
967 s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
968 and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
969 for z_1 :: U_1 and ... and z_n :: U_m
971 "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
972 | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
975 if the additional syntax "p ..." is required.
977 Numerous examples can be found in the subdirectories src/HOL/Auth,
978 src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
982 - Since declaration and definition of inductive sets or predicates
983 is no longer separated, abbreviations involving the newly
984 introduced sets or predicates must be specified together with the
985 introduction rules after the 'where' keyword (see above), rather
986 than before the actual inductive definition.
988 - The variables in induction and elimination rules are now
989 quantified in the order of their occurrence in the introduction
990 rules, rather than in alphabetical order. Since this may break
991 some proofs, these proofs either have to be repaired, e.g. by
992 reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
993 statements of the form
995 case (rule_i a_i_1 ... a_i_{k_i})
997 or the old order of quantification has to be restored by explicitly adding
998 meta-level quantifiers in the introduction rules, i.e.
1000 | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
1002 - The format of the elimination rules is now
1004 p z_1 ... z_m x_1 ... x_n ==>
1005 (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
1010 (x_1, ..., x_n) : s z_1 ... z_m ==>
1011 (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
1014 for sets rather than
1016 x : s z_1 ... z_m ==>
1017 (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
1020 This may require terms in goals to be expanded to n-tuples
1021 (e.g. using case_tac or simplification with the split_paired_all
1022 rule) before the above elimination rule is applicable.
1024 - The elimination or case analysis rules for (mutually) inductive
1025 sets or predicates are now called "p_1.cases" ... "p_k.cases". The
1026 list of rules "p_1_..._p_k.elims" is no longer available.
1028 * New package "function"/"fun" for general recursive functions,
1029 supporting mutual and nested recursion, definitions in local contexts,
1030 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
1031 for small examples, and the separate tutorial on the function
1032 package. The old recdef "package" is still available as before, but
1033 users are encouraged to use the new package.
1035 * Method "lexicographic_order" automatically synthesizes termination
1036 relations as lexicographic combinations of size measures.
1038 * Case-expressions allow arbitrary constructor-patterns (including
1039 "_") and take their order into account, like in functional
1040 programming. Internally, this is translated into nested
1041 case-expressions; missing cases are added and mapped to the predefined
1042 constant "undefined". In complicated cases printing may no longer show
1043 the original input but the internal form. Lambda-abstractions allow
1044 the same form of pattern matching: "% pat1 => e1 | ..." is an
1045 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
1048 * IntDef: The constant "int :: nat => int" has been removed; now "int"
1049 is an abbreviation for "of_nat :: nat => int". The simplification
1050 rules for "of_nat" have been changed to work like "int" did
1051 previously. Potential INCOMPATIBILITY:
1052 - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
1053 - of_nat_diff and of_nat_mult are no longer default simp rules
1055 * Method "algebra" solves polynomial equations over (semi)rings using
1056 Groebner bases. The (semi)ring structure is defined by locales and the
1057 tool setup depends on that generic context. Installing the method for
1058 a specific type involves instantiating the locale and possibly adding
1059 declarations for computation on the coefficients. The method is
1060 already instantiated for natural numbers and for the axiomatic class
1061 of idoms with numerals. See also the paper by Chaieb and Wenzel at
1062 CALCULEMUS 2007 for the general principles underlying this
1063 architecture of context-aware proof-tools.
1065 * Method "ferrack" implements quantifier elimination over
1066 special-purpose dense linear orders using locales (analogous to
1067 "algebra"). The method is already installed for class
1068 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
1071 * Former constant "List.op @" now named "List.append". Use ML
1072 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
1073 circumvent possible incompatibilities when working on ML level.
1075 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
1077 * New function listsum :: 'a list => 'a for arbitrary monoids.
1078 Special syntax: "SUM x <- xs. f x" (and latex variants)
1080 * New syntax for Haskell-like list comprehension (input only), eg.
1081 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
1083 * The special syntax for function "filter" has changed from [x :
1084 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
1085 comprehension syntax, and for uniformity. INCOMPATIBILITY.
1087 * [a..b] is now defined for arbitrary linear orders. It used to be
1088 defined on nat only, as an abbreviation for [a..<Suc b]
1091 * Renamed lemma "set_take_whileD" to "set_takeWhileD".
1093 * New functions "sorted" and "sort" in src/HOL/List.thy.
1095 * New lemma collection field_simps (an extension of ring_simps) for
1096 manipulating (in)equations involving division. Multiplies with all
1097 denominators that can be proved to be non-zero (in equations) or
1098 positive/negative (in inequations).
1100 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
1101 have been improved and renamed to ring_simps, group_simps and
1102 ring_distribs. Removed lemmas field_xyz in theory Ring_and_Field
1103 because they were subsumed by lemmas xyz. INCOMPATIBILITY.
1105 * Theory Library/Commutative_Ring: switched from recdef to function
1106 package; constants add, mul, pow now curried. Infix syntax for
1107 algebraic operations.
1109 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
1112 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
1115 * HOL/records: generalised field-update to take a function on the
1116 field rather than the new value: r(|A := x|) is translated to A_update
1117 (K x) r The K-combinator that is internally used is called K_record.
1118 INCOMPATIBILITY: Usage of the plain update functions has to be
1121 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
1122 * x = 0, which are required for a semiring. Richer structures do not
1123 inherit from semiring_0 anymore, because this property is a theorem
1124 there, not an axiom. INCOMPATIBILITY: In instances of semiring_0,
1125 there is more to prove, but this is mostly trivial.
1127 * Class "recpower" is generalized to arbitrary monoids, not just
1128 commutative semirings. INCOMPATIBILITY: may need to incorporate
1129 commutativity or semiring properties additionally.
1131 * Constant "List.list_all2" in List.thy now uses authentic syntax.
1132 INCOMPATIBILITY: translations containing list_all2 may go wrong,
1133 better use 'abbreviation'.
1135 * Renamed constant "List.op mem" to "List.member". INCOMPATIBILITY.
1137 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
1138 been abandoned in favour of plain 'int'. INCOMPATIBILITY --
1139 significant changes for setting up numeral syntax for types:
1140 - New constants Numeral.pred and Numeral.succ instead
1141 of former Numeral.bin_pred and Numeral.bin_succ.
1142 - Use integer operations instead of bin_add, bin_mult and so on.
1143 - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
1144 - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
1146 See src/HOL/Integ/IntArith.thy for an example setup.
1148 * Command 'normal_form' computes the normal form of a term that may
1149 contain free variables. For example ``normal_form "rev [a, b, c]"''
1150 produces ``[b, c, a]'' (without proof). This command is suitable for
1151 heavy-duty computations because the functions are compiled to ML
1152 first. Correspondingly, a method "normalization" is provided. See
1153 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
1155 * Alternative iff syntax "A <-> B" for equality on bool (with priority
1156 25 like -->); output depends on the "iff" print_mode, the default is
1157 "A = B" (with priority 50).
1159 * Relations less (<) and less_eq (<=) are also available on type bool.
1160 Modified syntax to disallow nesting without explicit parentheses,
1161 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z". Potential
1164 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
1166 * Relation composition operator "op O" now has precedence 75 and binds
1167 stronger than union and intersection. INCOMPATIBILITY.
1169 * The old set interval syntax "{m..n(}" (and relatives) has been
1170 removed. Use "{m..<n}" (and relatives) instead.
1172 * In the context of the assumption "~(s = t)" the Simplifier rewrites
1173 "t = s" to False (by simproc "neq"). INCOMPATIBILITY, consider using
1174 ``declare [[simproc del: neq]]''.
1176 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
1179 * Theorem Cons_eq_map_conv no longer declared as "simp".
1181 * Theorem setsum_mult renamed to setsum_right_distrib.
1183 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
1186 * Reimplemented methods "sat" and "satx", with several improvements:
1187 goals no longer need to be stated as "<prems> ==> False", equivalences
1188 (i.e. "=" on type bool) are handled, variable names of the form
1189 "lit_<n>" are no longer reserved, significant speedup.
1191 * Methods "sat" and "satx" can now replay MiniSat proof traces.
1192 zChaff is still supported as well.
1194 * 'inductive' and 'datatype': provide projections of mutual rules,
1195 bundled as foo_bar.inducts;
1197 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
1200 * Library: moved theory Accessible_Part to main HOL.
1202 * Library: added theory Coinductive_List of potentially infinite lists
1203 as greatest fixed-point.
1205 * Library: added theory AssocList which implements (finite) maps as
1208 * Method "evaluation" solves goals (i.e. a boolean expression)
1209 efficiently by compiling it to ML. The goal is "proved" (via an
1210 oracle) if it evaluates to True.
1212 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
1213 also when invoked by the simplifier. This results in the Simplifier
1214 being more powerful on arithmetic goals. INCOMPATIBILITY.
1215 Configuration option fast_arith_split_limit=0 recovers the old
1218 * Support for hex (0x20) and binary (0b1001) numerals.
1220 * New method: reify eqs (t), where eqs are equations for an
1221 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
1222 parameter, computes a term s::'b and a list xs::'a list and proves the
1223 theorem I xs s = t. This is also known as reification or quoting. The
1224 resulting theorem is applied to the subgoal to substitute t with I xs
1225 s. If t is omitted, the subgoal itself is reified.
1227 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
1228 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
1229 where f is supposed to be a computable function (in the sense of code
1230 generattion). The method uses reify to compute s and xs as above then
1231 applies corr_thm and uses normalization by evaluation to "prove" f s =
1232 r and finally gets the theorem t = r, which is again applied to the
1233 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
1235 * Reflection: Automatic reification now handels binding, an example is
1236 available in src/HOL/ex/ReflectionEx.thy
1238 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
1239 command 'statespace' that is similar to 'record', but introduces an
1240 abstract specification based on the locale infrastructure instead of
1241 HOL types. This leads to extra flexibility in composing state spaces,
1242 in particular multiple inheritance and renaming of components.
1247 * Hyperreal: Functions root and sqrt are now defined on negative real
1248 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
1249 Nonnegativity side conditions have been removed from many lemmas, so
1250 that more subgoals may now be solved by simplification; potential
1253 * Real: new type classes formalize real normed vector spaces and
1254 algebras, using new overloaded constants scaleR :: real => 'a => 'a
1255 and norm :: 'a => real.
1257 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
1258 reals into other types. The overloaded constant Reals :: 'a set is now
1259 defined as range of_real; potential INCOMPATIBILITY.
1261 * Real: proper support for ML code generation, including 'quickcheck'.
1262 Reals are implemented as arbitrary precision rationals.
1264 * Hyperreal: Several constants that previously worked only for the
1265 reals have been generalized, so they now work over arbitrary vector
1266 spaces. Type annotations may need to be added in some cases; potential
1269 Infinitesimal :: ('a::real_normed_vector) star set
1270 HFinite :: ('a::real_normed_vector) star set
1271 HInfinite :: ('a::real_normed_vector) star set
1272 approx :: ('a::real_normed_vector) star => 'a star => bool
1273 monad :: ('a::real_normed_vector) star => 'a star set
1274 galaxy :: ('a::real_normed_vector) star => 'a star set
1275 (NS)LIMSEQ :: [nat => 'a::real_normed_vector, 'a] => bool
1276 (NS)convergent :: (nat => 'a::real_normed_vector) => bool
1277 (NS)Bseq :: (nat => 'a::real_normed_vector) => bool
1278 (NS)Cauchy :: (nat => 'a::real_normed_vector) => bool
1279 (NS)LIM :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
1280 is(NS)Cont :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
1281 deriv :: ['a::real_normed_field => 'a, 'a, 'a] => bool
1282 sgn :: 'a::real_normed_vector => 'a
1283 exp :: 'a::{recpower,real_normed_field,banach} => 'a
1285 * Complex: Some complex-specific constants are now abbreviations for
1286 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
1287 hnorm. Other constants have been entirely removed in favor of the
1288 polymorphic versions (INCOMPATIBILITY):
1292 HInfinite <-- CInfinite
1293 Infinitesimal <-- CInfinitesimal
1296 (NS)LIM <-- (NS)CLIM, (NS)CRLIM
1297 is(NS)Cont <-- is(NS)Contc, is(NS)contCR
1298 (ns)deriv <-- (ns)cderiv
1303 * Formalisation of ideals and the quotient construction over rings.
1305 * Order and lattice theory no longer based on records.
1308 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
1309 greatest_closed. INCOMPATIBILITY.
1311 * Method algebra is now set up via an attribute. For examples see
1312 Ring.thy. INCOMPATIBILITY: the method is now weaker on combinations
1313 of algebraic structures.
1315 * Renamed theory CRing to Ring.
1320 * Substantial, yet incomplete support for nominal datatypes (binding
1321 structures) based on HOL-Nominal logic. See src/HOL/Nominal and
1322 src/HOL/Nominal/Examples. Prospective users should consult
1323 http://isabelle.in.tum.de/nominal/
1328 * ML basics: just one true type int, which coincides with IntInf.int
1331 * ML within Isar: antiquotations allow to embed statically-checked
1332 formal entities in the source, referring to the context available at
1333 compile-time. For example:
1335 ML {* @{sort "{zero,one}"} *}
1336 ML {* @{typ "'a => 'b"} *}
1337 ML {* @{term "%x. x"} *}
1338 ML {* @{prop "x == y"} *}
1339 ML {* @{ctyp "'a => 'b"} *}
1340 ML {* @{cterm "%x. x"} *}
1341 ML {* @{cprop "x == y"} *}
1342 ML {* @{thm asm_rl} *}
1343 ML {* @{thms asm_rl} *}
1344 ML {* @{type_name c} *}
1345 ML {* @{type_syntax c} *}
1346 ML {* @{const_name c} *}
1347 ML {* @{const_syntax c} *}
1350 ML {* @{theory Pure} *}
1351 ML {* @{theory_ref} *}
1352 ML {* @{theory_ref Pure} *}
1355 ML {* @{clasimpset} *}
1357 The same works for sources being ``used'' within an Isar context.
1359 * ML in Isar: improved error reporting; extra verbosity with
1360 ML_Context.trace enabled.
1362 * Pure/General/table.ML: the join operations now works via exceptions
1363 DUP/SAME instead of type option. This is simpler in simple cases, and
1364 admits slightly more efficient complex applications.
1366 * Pure: 'advanced' translation functions (parse_translation etc.) now
1367 use Context.generic instead of just theory.
1369 * Pure: datatype Context.generic joins theory/Proof.context and
1370 provides some facilities for code that works in either kind of
1371 context, notably GenericDataFun for uniform theory and proof data.
1373 * Pure: simplified internal attribute type, which is now always
1374 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
1375 local (Proof.context) attributes have been discontinued, while
1376 minimizing code duplication. Thm.rule_attribute and
1377 Thm.declaration_attribute build canonical attributes; see also structure
1378 Context for further operations on Context.generic, notably
1379 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
1380 declarations and definitions.
1382 * Context data interfaces (Theory/Proof/GenericDataFun): removed
1383 name/print, uninitialized data defaults to ad-hoc copy of empty value,
1384 init only required for impure data. INCOMPATIBILITY: empty really need
1385 to be empty (no dependencies on theory content!)
1387 * Pure/kernel: consts certification ignores sort constraints given in
1388 signature declarations. (This information is not relevant to the
1389 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
1390 potential INCOMPATIBILITY.
1392 * Pure: axiomatic type classes are now purely definitional, with
1393 explicit proofs of class axioms and super class relations performed
1394 internally. See Pure/axclass.ML for the main internal interfaces --
1395 notably AxClass.define_class supercedes AxClass.add_axclass, and
1396 AxClass.axiomatize_class/classrel/arity supersede
1397 Sign.add_classes/classrel/arities.
1399 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
1400 global/local versions on theory vs. Proof.context have been
1401 discontinued; Attrib.syntax and Method.syntax have been adapted
1402 accordingly. INCOMPATIBILITY, need to adapt parser expressions for
1403 attributes, methods, etc.
1405 * Pure: several functions of signature "... -> theory -> theory * ..."
1406 have been reoriented to "... -> theory -> ... * theory" in order to
1407 allow natural usage in combination with the ||>, ||>>, |-> and
1408 fold_map combinators.
1410 * Pure: official theorem names (closed derivations) and additional
1411 comments (tags) are now strictly separate. Name hints -- which are
1412 maintained as tags -- may be attached any time without affecting the
1415 * Pure: primitive rule lift_rule now takes goal cterm instead of an
1416 actual goal state (thm). Use Thm.lift_rule (Thm.cprem_of st i) to
1417 achieve the old behaviour.
1419 * Pure: the "Goal" constant is now called "prop", supporting a
1420 slightly more general idea of ``protecting'' meta-level rule
1423 * Pure: Logic.(un)varify only works in a global context, which is now
1424 enforced instead of silently assumed. INCOMPATIBILITY, may use
1425 Logic.legacy_(un)varify as temporary workaround.
1427 * Pure: structure Name provides scalable operations for generating
1428 internal variable names, notably Name.variants etc. This replaces
1429 some popular functions from term.ML:
1431 Term.variant -> Name.variant
1432 Term.variantlist -> Name.variant_list
1433 Term.invent_names -> Name.invent_list
1435 Note that low-level renaming rarely occurs in new code -- operations
1436 from structure Variable are used instead (see below).
1438 * Pure: structure Variable provides fundamental operations for proper
1439 treatment of fixed/schematic variables in a context. For example,
1440 Variable.import introduces fixes for schematics of given facts and
1441 Variable.export reverses the effect (up to renaming) -- this replaces
1442 various freeze_thaw operations.
1444 * Pure: structure Goal provides simple interfaces for
1445 init/conclude/finish and tactical prove operations (replacing former
1446 Tactic.prove). Goal.prove is the canonical way to prove results
1447 within a given context; Goal.prove_global is a degraded version for
1448 theory level goals, including a global Drule.standard. Note that
1449 OldGoals.prove_goalw_cterm has long been obsolete, since it is
1450 ill-behaved in a local proof context (e.g. with local fixes/assumes or
1451 in a locale context).
1453 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
1454 and type checking (Syntax.check_term etc.), with common combinations
1455 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
1456 which are considered legacy and await removal.
1458 * Pure/Syntax: generic interfaces for type unchecking
1459 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
1460 with common combinations (Syntax.pretty_term, Syntax.string_of_term
1461 etc.). Former Sign.pretty_term, Sign.string_of_term etc. are still
1462 available for convenience, but refer to the very same operations using
1463 a mere theory instead of a full context.
1465 * Isar: simplified treatment of user-level errors, using exception
1466 ERROR of string uniformly. Function error now merely raises ERROR,
1467 without any side effect on output channels. The Isar toplevel takes
1468 care of proper display of ERROR exceptions. ML code may use plain
1469 handle/can/try; cat_error may be used to concatenate errors like this:
1471 ... handle ERROR msg => cat_error msg "..."
1473 Toplevel ML code (run directly or through the Isar toplevel) may be
1474 embedded into the Isar toplevel with exception display/debug like
1477 Isar.toplevel (fn () => ...)
1479 INCOMPATIBILITY, removed special transform_error facilities, removed
1480 obsolete variants of user-level exceptions (ERROR_MESSAGE,
1481 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
1482 -- use plain ERROR instead.
1484 * Isar: theory setup now has type (theory -> theory), instead of a
1485 list. INCOMPATIBILITY, may use #> to compose setup functions.
1487 * Isar: ML toplevel pretty printer for type Proof.context, subject to
1488 ProofContext.debug/verbose flags.
1490 * Isar: Toplevel.theory_to_proof admits transactions that modify the
1491 theory before entering a proof state. Transactions now always see a
1492 quasi-functional intermediate checkpoint, both in interactive and
1495 * Isar: simplified interfaces for outer syntax. Renamed
1496 OuterSyntax.add_keywords to OuterSyntax.keywords. Removed
1497 OuterSyntax.add_parsers -- this functionality is now included in
1498 OuterSyntax.command etc. INCOMPATIBILITY.
1500 * Simplifier: the simpset of a running simplification process now
1501 contains a proof context (cf. Simplifier.the_context), which is the
1502 very context that the initial simpset has been retrieved from (by
1503 simpset_of/local_simpset_of). Consequently, all plug-in components
1504 (solver, looper etc.) may depend on arbitrary proof data.
1506 * Simplifier.inherit_context inherits the proof context (plus the
1507 local bounds) of the current simplification process; any simproc
1508 etc. that calls the Simplifier recursively should do this! Removed
1509 former Simplifier.inherit_bounds, which is already included here --
1510 INCOMPATIBILITY. Tools based on low-level rewriting may even have to
1511 specify an explicit context using Simplifier.context/theory_context.
1513 * Simplifier/Classical Reasoner: more abstract interfaces
1514 change_simpset/claset for modifying the simpset/claset reference of a
1515 theory; raw versions simpset/claset_ref etc. have been discontinued --
1518 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
1524 * settings: the default heap location within ISABELLE_HOME_USER now
1525 includes ISABELLE_IDENTIFIER. This simplifies use of multiple
1526 Isabelle installations.
1528 * isabelle-process: option -S (secure mode) disables some critical
1529 operations, notably runtime compilation and evaluation of ML source
1532 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
1534 * Support for parallel execution, using native multicore support of
1535 Poly/ML 5.1. The theory loader exploits parallelism when processing
1536 independent theories, according to the given theory header
1537 specifications. The maximum number of worker threads is specified via
1538 usedir option -M or the "max-threads" setting in Proof General. A
1539 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
1540 to 6 on a 8-core machine. User-code needs to observe certain
1541 guidelines for thread-safe programming, see appendix A in the Isar
1542 Implementation manual.
1546 New in Isabelle2005 (October 2005)
1547 ----------------------------------
1551 * Theory headers: the new header syntax for Isar theories is
1554 imports <theory1> ... <theoryN>
1555 uses <file1> ... <fileM>
1558 where the 'uses' part is optional. The previous syntax
1560 theory <name> = <theory1> + ... + <theoryN>:
1562 will disappear in the next release. Use isatool fixheaders to convert
1563 existing theory files. Note that there is no change in ancient
1564 non-Isar theories now, but these will disappear soon.
1566 * Theory loader: parent theories can now also be referred to via
1567 relative and absolute paths.
1569 * Command 'find_theorems' searches for a list of criteria instead of a
1570 list of constants. Known criteria are: intro, elim, dest, name:string,
1571 simp:term, and any term. Criteria can be preceded by '-' to select
1572 theorems that do not match. Intro, elim, dest select theorems that
1573 match the current goal, name:s selects theorems whose fully qualified
1574 name contain s, and simp:term selects all simplification rules whose
1575 lhs match term. Any other term is interpreted as pattern and selects
1576 all theorems matching the pattern. Available in ProofGeneral under
1577 'ProofGeneral -> Find Theorems' or C-c C-f. Example:
1579 C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
1581 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
1582 matching the current goal as introduction rule and not having "HOL."
1583 in their name (i.e. not being defined in theory HOL).
1585 * Command 'thms_containing' has been discontinued in favour of
1586 'find_theorems'; INCOMPATIBILITY.
1588 * Communication with Proof General is now 8bit clean, which means that
1589 Unicode text in UTF-8 encoding may be used within theory texts (both
1590 formal and informal parts). Cf. option -U of the Isabelle Proof
1591 General interface. Here are some simple examples (cf. src/HOL/ex):
1593 http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
1594 http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
1596 * Improved efficiency of the Simplifier and, to a lesser degree, the
1597 Classical Reasoner. Typical big applications run around 2 times
1601 *** Document preparation ***
1603 * Commands 'display_drafts' and 'print_drafts' perform simple output
1604 of raw sources. Only those symbols that do not require additional
1605 LaTeX packages (depending on comments in isabellesym.sty) are
1606 displayed properly, everything else is left verbatim. isatool display
1607 and isatool print are used as front ends (these are subject to the
1608 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
1610 * Command tags control specific markup of certain regions of text,
1611 notably folding and hiding. Predefined tags include "theory" (for
1612 theory begin and end), "proof" for proof commands, and "ML" for
1613 commands involving ML code; the additional tags "visible" and
1614 "invisible" are unused by default. Users may give explicit tag
1615 specifications in the text, e.g. ''by %invisible (auto)''. The
1616 interpretation of tags is determined by the LaTeX job during document
1617 preparation: see option -V of isatool usedir, or options -n and -t of
1618 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
1621 Several document versions may be produced at the same time via isatool
1622 usedir (the generated index.html will link all of them). Typical
1623 specifications include ''-V document=theory,proof,ML'' to present
1624 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
1625 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
1626 these parts without any formal replacement text. The Isabelle site
1627 default settings produce ''document'' and ''outline'' versions as
1630 * Several new antiquotations:
1632 @{term_type term} prints a term with its type annotated;
1634 @{typeof term} prints the type of a term;
1636 @{const const} is the same as @{term const}, but checks that the
1637 argument is a known logical constant;
1639 @{term_style style term} and @{thm_style style thm} print a term or
1640 theorem applying a "style" to it
1644 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
1645 definitions, equations, inequations etc., 'concl' printing only the
1646 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
1647 to print the specified premise. TermStyle.add_style provides an ML
1648 interface for introducing further styles. See also the "LaTeX Sugar"
1649 document practical applications. The ML antiquotation prints
1650 type-checked ML expressions verbatim.
1652 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
1653 and 'text' support optional locale specification '(in loc)', which
1654 specifies the default context for interpreting antiquotations. For
1655 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
1657 * Option 'locale=NAME' of antiquotations specifies an alternative
1658 context interpreting the subsequent argument. For example: @{thm
1659 [locale=lattice] inf_assoc}.
1661 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
1664 * Proper output of antiquotations for theory commands involving a
1665 proof context (such as 'locale' or 'theorem (in loc) ...').
1667 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
1668 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
1670 * isatool usedir: new option -C (default true) controls whether option
1671 -D should include a copy of the original document directory; -C false
1672 prevents unwanted effects such as copying of administrative CVS data.
1677 * Considerably improved version of 'constdefs' command. Now performs
1678 automatic type-inference of declared constants; additional support for
1679 local structure declarations (cf. locales and HOL records), see also
1680 isar-ref manual. Potential INCOMPATIBILITY: need to observe strictly
1681 sequential dependencies of definitions within a single 'constdefs'
1682 section; moreover, the declared name needs to be an identifier. If
1683 all fails, consider to fall back on 'consts' and 'defs' separately.
1685 * Improved indexed syntax and implicit structures. First of all,
1686 indexed syntax provides a notational device for subscripted
1687 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
1688 expressions. Secondly, in a local context with structure
1689 declarations, number indexes \<^sub>n or the empty index (default
1690 number 1) refer to a certain fixed variable implicitly; option
1691 show_structs controls printing of implicit structures. Typical
1692 applications of these concepts involve record types and locales.
1694 * New command 'no_syntax' removes grammar declarations (and
1695 translations) resulting from the given syntax specification, which is
1696 interpreted in the same manner as for the 'syntax' command.
1698 * 'Advanced' translation functions (parse_translation etc.) may depend
1699 on the signature of the theory context being presently used for
1700 parsing/printing, see also isar-ref manual.
1702 * Improved 'oracle' command provides a type-safe interface to turn an
1703 ML expression of type theory -> T -> term into a primitive rule of
1704 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
1705 is already included here); see also FOL/ex/IffExample.thy;
1708 * axclass: name space prefix for class "c" is now "c_class" (was "c"
1709 before); "cI" is no longer bound, use "c.intro" instead.
1710 INCOMPATIBILITY. This change avoids clashes of fact bindings for
1711 axclasses vs. locales.
1713 * Improved internal renaming of symbolic identifiers -- attach primes
1714 instead of base 26 numbers.
1716 * New flag show_question_marks controls printing of leading question
1717 marks in schematic variable names.
1719 * In schematic variable names, *any* symbol following \<^isub> or
1720 \<^isup> is now treated as part of the base name. For example, the
1721 following works without printing of awkward ".0" indexes:
1723 lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
1726 * Inner syntax includes (*(*nested*) comments*).
1728 * Pretty printer now supports unbreakable blocks, specified in mixfix
1729 annotations as "(00...)".
1731 * Clear separation of logical types and nonterminals, where the latter
1732 may only occur in 'syntax' specifications or type abbreviations.
1733 Before that distinction was only partially implemented via type class
1734 "logic" vs. "{}". Potential INCOMPATIBILITY in rare cases of improper
1735 use of 'types'/'consts' instead of 'nonterminals'/'syntax'. Some very
1736 exotic syntax specifications may require further adaption
1737 (e.g. Cube/Cube.thy).
1739 * Removed obsolete type class "logic", use the top sort {} instead.
1740 Note that non-logical types should be declared as 'nonterminals'
1741 rather than 'types'. INCOMPATIBILITY for new object-logic
1744 * Attributes 'induct' and 'cases': type or set names may now be
1745 locally fixed variables as well.
1747 * Simplifier: can now control the depth to which conditional rewriting
1748 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
1751 * Simplifier: simplification procedures may now take the current
1752 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
1753 interface), which is very useful for calling the Simplifier
1754 recursively. Minor INCOMPATIBILITY: the 'prems' argument of simprocs
1755 is gone -- use prems_of_ss on the simpset instead. Moreover, the
1756 low-level mk_simproc no longer applies Logic.varify internally, to
1757 allow for use in a context of fixed variables.
1759 * thin_tac now works even if the assumption being deleted contains !!
1760 or ==>. More generally, erule now works even if the major premise of
1761 the elimination rule contains !! or ==>.
1763 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
1765 * Reorganized bootstrapping of the Pure theories; CPure is now derived
1766 from Pure, which contains all common declarations already. Both
1767 theories are defined via plain Isabelle/Isar .thy files.
1768 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
1769 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
1770 use isatool fixcpure to adapt your theory and ML sources.
1772 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
1773 selections of theorems in named facts via index ranges.
1775 * 'print_theorems': in theory mode, really print the difference
1776 wrt. the last state (works for interactive theory development only),
1777 in proof mode print all local facts (cf. 'print_facts');
1779 * 'hide': option '(open)' hides only base names.
1781 * More efficient treatment of intermediate checkpoints in interactive
1784 * Code generator is now invoked via code_module (incremental code
1785 generation) and code_library (modular code generation, ML structures
1786 for each theory). INCOMPATIBILITY: new keywords 'file' and 'contains'
1787 must be quoted when used as identifiers.
1789 * New 'value' command for reading, evaluating and printing terms using
1790 the code generator. INCOMPATIBILITY: command keyword 'value' must be
1791 quoted when used as identifier.
1796 * New commands for the interpretation of locale expressions in
1797 theories (1), locales (2) and proof contexts (3). These generate
1798 proof obligations from the expression specification. After the
1799 obligations have been discharged, theorems of the expression are added
1800 to the theory, target locale or proof context. The synopsis of the
1801 commands is a follows:
1803 (1) interpretation expr inst
1804 (2) interpretation target < expr
1805 (3) interpret expr inst
1807 Interpretation in theories and proof contexts require a parameter
1808 instantiation of terms from the current context. This is applied to
1809 specifications and theorems of the interpreted expression.
1810 Interpretation in locales only permits parameter renaming through the
1811 locale expression. Interpretation is smart in that interpretations
1812 that are active already do not occur in proof obligations, neither are
1813 instantiated theorems stored in duplicate. Use 'print_interps' to
1814 inspect active interpretations of a particular locale. For details,
1815 see the Isar Reference manual. Examples can be found in
1816 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
1818 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
1819 'interpret' instead.
1821 * New context element 'constrains' for adding type constraints to
1824 * Context expressions: renaming of parameters with syntax
1827 * Locale declaration: 'includes' disallowed.
1829 * Proper static binding of attribute syntax -- i.e. types / terms /
1830 facts mentioned as arguments are always those of the locale definition
1831 context, independently of the context of later invocations. Moreover,
1832 locale operations (renaming and type / term instantiation) are applied
1833 to attribute arguments as expected.
1835 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
1836 actual attributes; rare situations may require Attrib.attribute to
1837 embed those attributes into Attrib.src that lack concrete syntax.
1838 Attribute implementations need to cooperate properly with the static
1839 binding mechanism. Basic parsers Args.XXX_typ/term/prop and
1840 Attrib.XXX_thm etc. already do the right thing without further
1841 intervention. Only unusual applications -- such as "where" or "of"
1842 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
1843 on the context and the facts involved -- may have to assign parsed
1844 values to argument tokens explicitly.
1846 * Changed parameter management in theorem generation for long goal
1847 statements with 'includes'. INCOMPATIBILITY: produces a different
1848 theorem statement in rare situations.
1850 * Locale inspection command 'print_locale' omits notes elements. Use
1851 'print_locale!' to have them included in the output.
1856 * Provers/hypsubst.ML: improved version of the subst method, for
1857 single-step rewriting: it now works in bound variable contexts. New is
1858 'subst (asm)', for rewriting an assumption. INCOMPATIBILITY: may
1859 rewrite a different subterm than the original subst method, which is
1860 still available as 'simplesubst'.
1862 * Provers/quasi.ML: new transitivity reasoners for transitivity only
1865 * Provers/trancl.ML: new transitivity reasoner for transitive and
1866 reflexive-transitive closure of relations.
1868 * Provers/blast.ML: new reference depth_limit to make blast's depth
1869 limit (previously hard-coded with a value of 20) user-definable.
1871 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
1872 is peformed already. Object-logics merely need to finish their
1873 initial simpset configuration as before. INCOMPATIBILITY.
1878 * Symbolic syntax of Hilbert Choice Operator is now as follows:
1881 "_Eps" :: "[pttrn, bool] => 'a" ("(3\<some>_./ _)" [0, 10] 10)
1883 The symbol \<some> is displayed as the alternative epsilon of LaTeX
1884 and x-symbol; use option '-m epsilon' to get it actually printed.
1885 Moreover, the mathematically important symbolic identifier \<epsilon>
1886 becomes available as variable, constant etc. INCOMPATIBILITY,
1888 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
1889 Similarly for all quantifiers: "ALL x > y" etc. The x-symbol for >=
1890 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
1891 support corresponding Isar calculations.
1893 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
1896 * theory SetInterval: changed the syntax for open intervals:
1905 The old syntax is still supported but will disappear in the next
1906 release. For conversion use the following Emacs search and replace
1907 patterns (these are not perfect but work quite well):
1909 {)\([^\.]*\)\.\. -> {\1<\.\.}
1910 \.\.\([^(}]*\)(} -> \.\.<\1}
1912 * Theory Commutative_Ring (in Library): method comm_ring for proving
1913 equalities in commutative rings; method 'algebra' provides a generic
1916 * Theory Finite_Set: changed the syntax for 'setsum', summation over
1917 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
1918 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
1921 Some new syntax forms are available:
1923 "\<Sum>x | P. e" for "setsum (%x. e) {x. P}"
1924 "\<Sum>x = a..b. e" for "setsum (%x. e) {a..b}"
1925 "\<Sum>x = a..<b. e" for "setsum (%x. e) {a..<b}"
1926 "\<Sum>x < k. e" for "setsum (%x. e) {..<k}"
1928 The latter form "\<Sum>x < k. e" used to be based on a separate
1929 function "Summation", which has been discontinued.
1931 * theory Finite_Set: in structured induction proofs, the insert case
1932 is now 'case (insert x F)' instead of the old counterintuitive 'case
1935 * The 'refute' command has been extended to support a much larger
1936 fragment of HOL, including axiomatic type classes, constdefs and
1937 typedefs, inductive datatypes and recursion.
1939 * New tactics 'sat' and 'satx' to prove propositional tautologies.
1940 Requires zChaff with proof generation to be installed. See
1941 HOL/ex/SAT_Examples.thy for examples.
1943 * Datatype induction via method 'induct' now preserves the name of the
1944 induction variable. For example, when proving P(xs::'a list) by
1945 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
1946 than P(list) ==> P(a#list) as previously. Potential INCOMPATIBILITY
1947 in unstructured proof scripts.
1949 * Reworked implementation of records. Improved scalability for
1950 records with many fields, avoiding performance problems for type
1951 inference. Records are no longer composed of nested field types, but
1952 of nested extension types. Therefore the record type only grows linear
1953 in the number of extensions and not in the number of fields. The
1954 top-level (users) view on records is preserved. Potential
1955 INCOMPATIBILITY only in strange cases, where the theory depends on the
1956 old record representation. The type generated for a record is called
1957 <record_name>_ext_type.
1959 Flag record_quick_and_dirty_sensitive can be enabled to skip the
1960 proofs triggered by a record definition or a simproc (if
1961 quick_and_dirty is enabled). Definitions of large records can take
1964 New simproc record_upd_simproc for simplification of multiple record
1965 updates enabled by default. Moreover, trivial updates are also
1966 removed: r(|x := x r|) = r. INCOMPATIBILITY: old proofs break
1967 occasionally, since simplification is more powerful by default.
1969 * typedef: proper support for polymorphic sets, which contain extra
1970 type-variables in the term.
1972 * Simplifier: automatically reasons about transitivity chains
1973 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
1974 provided by Provers/trancl.ML as additional solvers. INCOMPATIBILITY:
1975 old proofs break occasionally as simplification may now solve more
1976 goals than previously.
1978 * Simplifier: converts x <= y into x = y if assumption y <= x is
1979 present. Works for all partial orders (class "order"), in particular
1980 numbers and sets. For linear orders (e.g. numbers) it treats ~ x < y
1983 * Simplifier: new simproc for "let x = a in f x". If a is a free or
1984 bound variable or a constant then the let is unfolded. Otherwise
1985 first a is simplified to b, and then f b is simplified to g. If
1986 possible we abstract b from g arriving at "let x = b in h x",
1987 otherwise we unfold the let and arrive at g. The simproc can be
1988 enabled/disabled by the reference use_let_simproc. Potential
1989 INCOMPATIBILITY since simplification is more powerful by default.
1991 * Classical reasoning: the meson method now accepts theorems as arguments.
1993 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
1994 jobs to provide advice on the provability of subgoals.
1996 * Theory OrderedGroup and Ring_and_Field: various additions and
1997 improvements to faciliate calculations involving equalities and
2000 The following theorems have been eliminated or modified
2003 abs_eq now named abs_of_nonneg
2004 abs_of_ge_0 now named abs_of_nonneg
2005 abs_minus_eq now named abs_of_nonpos
2006 imp_abs_id now named abs_of_nonneg
2007 imp_abs_neg_id now named abs_of_nonpos
2008 mult_pos now named mult_pos_pos
2009 mult_pos_le now named mult_nonneg_nonneg
2010 mult_pos_neg_le now named mult_nonneg_nonpos
2011 mult_pos_neg2_le now named mult_nonneg_nonpos2
2012 mult_neg now named mult_neg_neg
2013 mult_neg_le now named mult_nonpos_nonpos
2015 * The following lemmas in Ring_and_Field have been added to the simplifier:
2018 not_square_less_zero
2020 The following lemmas have been deleted from Real/RealPow:
2030 * Theory Parity: added rules for simplifying exponents.
2034 The following theorems have been eliminated or modified
2037 list_all_Nil now named list_all.simps(1)
2038 list_all_Cons now named list_all.simps(2)
2039 list_all_conv now named list_all_iff
2040 set_mem_eq now named mem_iff
2042 * Theories SetsAndFunctions and BigO (see HOL/Library) support
2043 asymptotic "big O" calculations. See the notes in BigO.thy.
2048 * Theory RealDef: better support for embedding natural numbers and
2049 integers in the reals.
2051 The following theorems have been eliminated or modified
2054 exp_ge_add_one_self now requires no hypotheses
2055 real_of_int_add reversed direction of equality (use [symmetric])
2056 real_of_int_minus reversed direction of equality (use [symmetric])
2057 real_of_int_diff reversed direction of equality (use [symmetric])
2058 real_of_int_mult reversed direction of equality (use [symmetric])
2060 * Theory RComplete: expanded support for floor and ceiling functions.
2062 * Theory Ln is new, with properties of the natural logarithm
2064 * Hyperreal: There is a new type constructor "star" for making
2065 nonstandard types. The old type names are now type synonyms:
2069 hcomplex = complex star
2071 * Hyperreal: Many groups of similarly-defined constants have been
2072 replaced by polymorphic versions (INCOMPATIBILITY):
2074 star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
2076 starset <-- starsetNat, starsetC
2077 *s* <-- *sNat*, *sc*
2078 starset_n <-- starsetNat_n, starsetC_n
2079 *sn* <-- *sNatn*, *scn*
2080 InternalSets <-- InternalNatSets, InternalCSets
2082 starfun <-- starfun{Nat,Nat2,C,RC,CR}
2083 *f* <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
2084 starfun_n <-- starfun{Nat,Nat2,C,RC,CR}_n
2085 *fn* <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
2086 InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
2088 * Hyperreal: Many type-specific theorems have been removed in favor of
2089 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
2091 add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
2092 add_assoc <-- {hypreal,hypnat,hcomplex}_add_assocs
2093 OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
2094 OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
2095 right_minus <-- hypreal_add_minus
2096 left_minus <-- {hypreal,hcomplex}_add_minus_left
2097 mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
2098 mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
2099 mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
2100 mult_1_right <-- hcomplex_mult_one_right
2101 mult_zero_left <-- hcomplex_mult_zero_left
2102 left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
2103 right_distrib <-- hypnat_add_mult_distrib2
2104 zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
2105 right_inverse <-- hypreal_mult_inverse
2106 left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
2107 order_refl <-- {hypreal,hypnat}_le_refl
2108 order_trans <-- {hypreal,hypnat}_le_trans
2109 order_antisym <-- {hypreal,hypnat}_le_anti_sym
2110 order_less_le <-- {hypreal,hypnat}_less_le
2111 linorder_linear <-- {hypreal,hypnat}_le_linear
2112 add_left_mono <-- {hypreal,hypnat}_add_left_mono
2113 mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
2114 add_nonneg_nonneg <-- hypreal_le_add_order
2116 * Hyperreal: Separate theorems having to do with type-specific
2117 versions of constants have been merged into theorems that apply to the
2118 new polymorphic constants (INCOMPATIBILITY):
2120 STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
2121 STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
2122 STAR_Un <-- {STAR,NatStar,STARC}_Un
2123 STAR_Int <-- {STAR,NatStar,STARC}_Int
2124 STAR_Compl <-- {STAR,NatStar,STARC}_Compl
2125 STAR_subset <-- {STAR,NatStar,STARC}_subset
2126 STAR_mem <-- {STAR,NatStar,STARC}_mem
2127 STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
2128 STAR_diff <-- {STAR,STARC}_diff
2129 STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
2130 STARC_hcomplex_of_complex}_image_subset
2131 starset_n_Un <-- starset{Nat,C}_n_Un
2132 starset_n_Int <-- starset{Nat,C}_n_Int
2133 starset_n_Compl <-- starset{Nat,C}_n_Compl
2134 starset_n_diff <-- starset{Nat,C}_n_diff
2135 InternalSets_Un <-- Internal{Nat,C}Sets_Un
2136 InternalSets_Int <-- Internal{Nat,C}Sets_Int
2137 InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
2138 InternalSets_diff <-- Internal{Nat,C}Sets_diff
2139 InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
2140 InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
2141 starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
2142 starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
2143 starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
2144 starfun <-- starfun{Nat,Nat2,C,RC,CR}
2145 starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
2146 starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
2147 starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
2148 starfun_diff <-- starfun{C,RC,CR}_diff
2149 starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
2150 starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
2151 starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
2152 starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
2153 starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
2154 starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
2155 starfun_Id <-- starfunC_Id
2156 starfun_approx <-- starfun{Nat,CR}_approx
2157 starfun_capprox <-- starfun{C,RC}_capprox
2158 starfun_abs <-- starfunNat_rabs
2159 starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
2160 starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
2161 starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
2162 starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
2163 starfun_add_capprox <-- starfun{C,RC}_add_capprox
2164 starfun_add_approx <-- starfunCR_add_approx
2165 starfun_inverse_inverse <-- starfunC_inverse_inverse
2166 starfun_divide <-- starfun{C,CR,RC}_divide
2167 starfun_n <-- starfun{Nat,C}_n
2168 starfun_n_mult <-- starfun{Nat,C}_n_mult
2169 starfun_n_add <-- starfun{Nat,C}_n_add
2170 starfun_n_add_minus <-- starfunNat_n_add_minus
2171 starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
2172 starfun_n_minus <-- starfun{Nat,C}_n_minus
2173 starfun_n_eq <-- starfun{Nat,C}_n_eq
2175 star_n_add <-- {hypreal,hypnat,hcomplex}_add
2176 star_n_minus <-- {hypreal,hcomplex}_minus
2177 star_n_diff <-- {hypreal,hcomplex}_diff
2178 star_n_mult <-- {hypreal,hcomplex}_mult
2179 star_n_inverse <-- {hypreal,hcomplex}_inverse
2180 star_n_le <-- {hypreal,hypnat}_le
2181 star_n_less <-- {hypreal,hypnat}_less
2182 star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
2183 star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
2184 star_n_abs <-- hypreal_hrabs
2185 star_n_divide <-- hcomplex_divide
2187 star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
2188 star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
2189 star_of_diff <-- hypreal_of_real_diff
2190 star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
2191 star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
2192 star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
2193 star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
2194 star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
2195 star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
2196 star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
2197 star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
2198 star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
2199 star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
2200 star_of_number_of <-- {hypreal,hcomplex}_number_of
2201 star_of_number_less <-- number_of_less_hypreal_of_real_iff
2202 star_of_number_le <-- number_of_le_hypreal_of_real_iff
2203 star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
2204 star_of_less_number <-- hypreal_of_real_less_number_of_iff
2205 star_of_le_number <-- hypreal_of_real_le_number_of_iff
2206 star_of_power <-- hypreal_of_real_power
2207 star_of_eq_0 <-- hcomplex_of_complex_zero_iff
2209 * Hyperreal: new method "transfer" that implements the transfer
2210 principle of nonstandard analysis. With a subgoal that mentions
2211 nonstandard types like "'a star", the command "apply transfer"
2212 replaces it with an equivalent one that mentions only standard types.
2213 To be successful, all free variables must have standard types; non-
2214 standard variables must have explicit universal quantifiers.
2216 * Hyperreal: A theory of Taylor series.
2221 * Discontinued special version of 'constdefs' (which used to support
2222 continuous functions) in favor of the general Pure one with full
2225 * New simplification procedure for solving continuity conditions; it
2226 is much faster on terms with many nested lambda abstractions (cubic
2227 instead of exponential time).
2229 * New syntax for domain package: selector names are now optional.
2230 Parentheses should be omitted unless argument is lazy, for example:
2232 domain 'a stream = cons "'a" (lazy "'a stream")
2234 * New command 'fixrec' for defining recursive functions with pattern
2235 matching; defining multiple functions with mutual recursion is also
2236 supported. Patterns may include the constants cpair, spair, up, sinl,
2237 sinr, or any data constructor defined by the domain package. The given
2238 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
2239 syntax and examples.
2241 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
2242 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
2243 but the proof obligation additionally includes an admissibility
2244 requirement. The packages generate instances of class cpo or pcpo,
2245 with continuity and strictness theorems for Rep and Abs.
2247 * HOLCF: Many theorems have been renamed according to a more standard naming
2248 scheme (INCOMPATIBILITY):
2250 foo_inject: "foo$x = foo$y ==> x = y"
2251 foo_eq: "(foo$x = foo$y) = (x = y)"
2252 foo_less: "(foo$x << foo$y) = (x << y)"
2253 foo_strict: "foo$UU = UU"
2254 foo_defined: "... ==> foo$x ~= UU"
2255 foo_defined_iff: "(foo$x = UU) = (x = UU)"
2260 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
2261 including the First Isomorphism Theorem (on quotienting by the kernel
2264 * ZF/Simplifier: install second copy of type solver that actually
2265 makes use of TC rules declared to Isar proof contexts (or locales);
2266 the old version is still required for ML proof scripts.
2271 * Converted to Isar theory format; use locales instead of axiomatic
2277 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
2280 * Pure/library.ML no longer defines its own option datatype, but uses
2281 that of the SML basis, which has constructors NONE and SOME instead of
2282 None and Some, as well as exception Option.Option instead of OPTION.
2283 The functions the, if_none, is_some, is_none have been adapted
2284 accordingly, while Option.map replaces apsome.
2286 * Pure/library.ML: the exception LIST has been given up in favour of
2287 the standard exceptions Empty and Subscript, as well as
2288 Library.UnequalLengths. Function like Library.hd and Library.tl are
2289 superceded by the standard hd and tl functions etc.
2291 A number of basic list functions are no longer exported to the ML
2292 toplevel, as they are variants of predefined functions. The following
2293 suggests how one can translate existing code:
2295 rev_append xs ys = List.revAppend (xs, ys)
2296 nth_elem (i, xs) = List.nth (xs, i)
2297 last_elem xs = List.last xs
2298 flat xss = List.concat xss
2299 seq fs = List.app fs
2300 partition P xs = List.partition P xs
2301 mapfilter f xs = List.mapPartial f xs
2303 * Pure/library.ML: several combinators for linear functional
2304 transformations, notably reverse application and composition:
2307 (x, y) |-> f f #-> g
2309 * Pure/library.ML: introduced/changed precedence of infix operators:
2311 infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
2313 infix 3 o oo ooo oooo;
2314 infix 4 ~~ upto downto;
2316 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
2319 * Pure/library.ML: natural list combinators fold, fold_rev, and
2320 fold_map support linear functional transformations and nesting. For
2323 fold f [x1, ..., xN] y =
2324 y |> f x1 |> ... |> f xN
2326 (fold o fold) f [xs1, ..., xsN] y =
2327 y |> fold f xs1 |> ... |> fold f xsN
2329 fold f [x1, ..., xN] =
2332 (fold o fold) f [xs1, ..., xsN] =
2333 fold f xs1 #> ... #> fold f xsN
2335 * Pure/library.ML: the following selectors on type 'a option are
2338 the: 'a option -> 'a (*partial*)
2339 these: 'a option -> 'a where 'a = 'b list
2340 the_default: 'a -> 'a option -> 'a
2341 the_list: 'a option -> 'a list
2343 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
2344 basic operations for association lists, following natural argument
2345 order; moreover the explicit equality predicate passed here avoids
2346 potentially expensive polymorphic runtime equality checks.
2347 The old functions may be expressed as follows:
2349 assoc = uncurry (AList.lookup (op =))
2350 assocs = these oo AList.lookup (op =)
2351 overwrite = uncurry (AList.update (op =)) o swap
2353 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
2355 val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
2356 val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
2358 replacing make_keylist and keyfilter (occassionally used)
2361 make_keylist = AList.make
2362 keyfilter = AList.find (op =)
2364 * eq_fst and eq_snd now take explicit equality parameter, thus
2365 avoiding eqtypes. Naive rewrites:
2367 eq_fst = eq_fst (op =)
2368 eq_snd = eq_snd (op =)
2370 * Removed deprecated apl and apr (rarely used).
2373 apl (n, op) =>>= curry op n
2374 apr (op, m) =>>= fn n => op (n, m)
2376 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
2377 provides a reasonably efficient light-weight implementation of sets as
2380 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
2381 few new operations; existing lookup and update are now curried to
2382 follow natural argument order (for use with fold etc.);
2383 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
2385 * Pure/General: output via the Isabelle channels of
2386 writeln/warning/error etc. is now passed through Output.output, with a
2387 hook for arbitrary transformations depending on the print_mode
2388 (cf. Output.add_mode -- the first active mode that provides a output
2389 function wins). Already formatted output may be embedded into further
2390 text via Output.raw; the result of Pretty.string_of/str_of and derived
2391 functions (string_of_term/cterm/thm etc.) is already marked raw to
2392 accommodate easy composition of diagnostic messages etc. Programmers
2393 rarely need to care about Output.output or Output.raw at all, with
2394 some notable exceptions: Output.output is required when bypassing the
2395 standard channels (writeln etc.), or in token translations to produce
2396 properly formatted results; Output.raw is required when capturing
2397 already output material that will eventually be presented to the user
2398 a second time. For the default print mode, both Output.output and
2399 Output.raw have no effect.
2401 * Pure/General: Output.time_accumulator NAME creates an operator ('a
2402 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
2403 cumulative results are displayed at the end of a batch session.
2405 * Pure/General: File.sysify_path and File.quote_sysify path have been
2406 replaced by File.platform_path and File.shell_path (with appropriate
2407 hooks). This provides a clean interface for unusual systems where the
2408 internal and external process view of file names are different.
2410 * Pure: more efficient orders for basic syntactic entities: added
2411 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
2412 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
2413 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
2414 orders now -- potential INCOMPATIBILITY for code that depends on a
2415 particular order for Symtab.keys, Symtab.dest, etc. (consider using
2416 Library.sort_strings on result).
2418 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
2419 fold_types traverse types/terms from left to right, observing natural
2420 argument order. Supercedes previous foldl_XXX versions, add_frees,
2421 add_vars etc. have been adapted as well: INCOMPATIBILITY.
2423 * Pure: name spaces have been refined, with significant changes of the
2424 internal interfaces -- INCOMPATIBILITY. Renamed cond_extern(_table)
2425 to extern(_table). The plain name entry path is superceded by a
2426 general 'naming' context, which also includes the 'policy' to produce
2427 a fully qualified name and external accesses of a fully qualified
2428 name; NameSpace.extend is superceded by context dependent
2429 Sign.declare_name. Several theory and proof context operations modify
2430 the naming context. Especially note Theory.restore_naming and
2431 ProofContext.restore_naming to get back to a sane state; note that
2432 Theory.add_path is no longer sufficient to recover from
2433 Theory.absolute_path in particular.
2435 * Pure: new flags short_names (default false) and unique_names
2436 (default true) for controlling output of qualified names. If
2437 short_names is set, names are printed unqualified. If unique_names is
2438 reset, the name prefix is reduced to the minimum required to achieve
2439 the original result when interning again, even if there is an overlap
2440 with earlier declarations.
2442 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
2443 now 'extend', and 'merge' gets an additional Pretty.pp argument
2444 (useful for printing error messages). INCOMPATIBILITY.
2446 * Pure: major reorganization of the theory context. Type Sign.sg and
2447 Theory.theory are now identified, referring to the universal
2448 Context.theory (see Pure/context.ML). Actual signature and theory
2449 content is managed as theory data. The old code and interfaces were
2450 spread over many files and structures; the new arrangement introduces
2451 considerable INCOMPATIBILITY to gain more clarity:
2453 Context -- theory management operations (name, identity, inclusion,
2454 parents, ancestors, merge, etc.), plus generic theory data;
2456 Sign -- logical signature and syntax operations (declaring consts,
2457 types, etc.), plus certify/read for common entities;
2459 Theory -- logical theory operations (stating axioms, definitions,
2460 oracles), plus a copy of logical signature operations (consts,
2461 types, etc.); also a few basic management operations (Theory.copy,
2464 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
2465 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
2466 for convenience -- they merely return the theory.
2468 * Pure: type Type.tsig is superceded by theory in most interfaces.
2470 * Pure: the Isar proof context type is already defined early in Pure
2471 as Context.proof (note that ProofContext.context and Proof.context are
2472 aliases, where the latter is the preferred name). This enables other
2473 Isabelle components to refer to that type even before Isar is present.
2475 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
2476 typeK, constK, axiomK, oracleK), but provide explicit operations for
2477 any of these kinds. For example, Sign.intern typeK is now
2478 Sign.intern_type, Theory.hide_space Sign.typeK is now
2479 Theory.hide_types. Also note that former
2480 Theory.hide_classes/types/consts are now
2481 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
2482 internalize their arguments! INCOMPATIBILITY.
2484 * Pure: get_thm interface (of PureThy and ProofContext) expects
2485 datatype thmref (with constructors Name and NameSelection) instead of
2486 plain string -- INCOMPATIBILITY;
2488 * Pure: cases produced by proof methods specify options, where NONE
2489 means to remove case bindings -- INCOMPATIBILITY in
2492 * Pure: the following operations retrieve axioms or theorems from a
2493 theory node or theory hierarchy, respectively:
2495 Theory.axioms_of: theory -> (string * term) list
2496 Theory.all_axioms_of: theory -> (string * term) list
2497 PureThy.thms_of: theory -> (string * thm) list
2498 PureThy.all_thms_of: theory -> (string * thm) list
2500 * Pure: print_tac now outputs the goal through the trace channel.
2502 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
2503 Reference Toplevel.debug (default false) controls detailed printing
2504 and tracing of low-level exceptions; Toplevel.profiling (default 0)
2505 controls execution profiling -- set to 1 for time and 2 for space
2506 (both increase the runtime).
2508 * Isar session: The initial use of ROOT.ML is now always timed,
2509 i.e. the log will show the actual process times, in contrast to the
2510 elapsed wall-clock time that the outer shell wrapper produces.
2512 * Simplifier: improved handling of bound variables (nameless
2513 representation, avoid allocating new strings). Simprocs that invoke
2514 the Simplifier recursively should use Simplifier.inherit_bounds to
2515 avoid local name clashes. Failure to do so produces warnings
2516 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
2517 for further details.
2519 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
2520 bindings for all theorems stored within a given theory; this may help
2521 in porting non-Isar theories to Isar ones, while keeping ML proof
2522 scripts for the time being.
2524 * ML operator HTML.with_charset specifies the charset begin used for
2525 generated HTML files. For example:
2527 HTML.with_charset "utf-8" use_thy "Hebrew";
2528 HTML.with_charset "utf-8" use_thy "Chinese";
2533 * Allow symlinks to all proper Isabelle executables (Isabelle,
2534 isabelle, isatool etc.).
2536 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
2537 isatool doc, isatool mkdir, display_drafts etc.).
2539 * isatool usedir: option -f allows specification of the ML file to be
2540 used by Isabelle; default is ROOT.ML.
2542 * New isatool version outputs the version identifier of the Isabelle
2543 distribution being used.
2545 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
2546 (containing Boolean satisfiability problems) into Isabelle/HOL
2551 New in Isabelle2004 (April 2004)
2552 --------------------------------
2556 * Provers/order.ML: new efficient reasoner for partial and linear orders.
2557 Replaces linorder.ML.
2559 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
2560 (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
2561 (\<a>...\<z>), are now considered normal letters, and can therefore
2562 be used anywhere where an ASCII letter (a...zA...Z) has until
2563 now. COMPATIBILITY: This obviously changes the parsing of some
2564 terms, especially where a symbol has been used as a binder, say
2565 '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
2566 as an identifier. Fix it by inserting a space around former
2567 symbols. Call 'isatool fixgreek' to try to fix parsing errors in
2568 existing theory and ML files.
2570 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
2572 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
2573 allowed in identifiers. Similar to Greek letters \<^isub> is now considered
2574 a normal (but invisible) letter. For multiple letter subscripts repeat
2575 \<^isub> like this: x\<^isub>1\<^isub>2.
2577 * Pure: There are now sub-/superscripts that can span more than one
2578 character. Text between \<^bsub> and \<^esub> is set in subscript in
2579 ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
2580 superscript. The new control characters are not identifier parts.
2582 * Pure: Control-symbols of the form \<^raw:...> will literally print the
2583 content of "..." to the latex file instead of \isacntrl... . The "..."
2584 may consist of any printable characters excluding the end bracket >.
2586 * Pure: Using new Isar command "finalconsts" (or the ML functions
2587 Theory.add_finals or Theory.add_finals_i) it is now possible to
2588 declare constants "final", which prevents their being given a definition
2589 later. It is useful for constants whose behaviour is fixed axiomatically
2590 rather than definitionally, such as the meta-logic connectives.
2592 * Pure: 'instance' now handles general arities with general sorts
2593 (i.e. intersections of classes),
2595 * Presentation: generated HTML now uses a CSS style sheet to make layout
2596 (somewhat) independent of content. It is copied from lib/html/isabelle.css.
2597 It can be changed to alter the colors/layout of generated pages.
2602 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
2603 cut_tac, subgoal_tac and thin_tac:
2604 - Now understand static (Isar) contexts. As a consequence, users of Isar
2605 locales are no longer forced to write Isar proof scripts.
2606 For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
2608 - INCOMPATIBILITY: names of variables to be instantiated may no
2609 longer be enclosed in quotes. Instead, precede variable name with `?'.
2610 This is consistent with the instantiation attribute "where".
2612 * Attributes "where" and "of":
2613 - Now take type variables of instantiated theorem into account when reading
2614 the instantiation string. This fixes a bug that caused instantiated
2615 theorems to have too special types in some circumstances.
2616 - "where" permits explicit instantiations of type variables.
2618 * Calculation commands "moreover" and "also" no longer interfere with
2619 current facts ("this"), admitting arbitrary combinations with "then"
2623 - Goal statements involving the context element "includes" no longer
2624 generate theorems with internal delta predicates (those ending on
2625 "_axioms") in the premise.
2626 Resolve particular premise with <locale>.intro to obtain old form.
2627 - Fixed bug in type inference ("unify_frozen") that prevented mix of target
2628 specification and "includes" elements in goal statement.
2629 - Rule sets <locale>.intro and <locale>.axioms no longer declared as
2630 [intro?] and [elim?] (respectively) by default.
2631 - Experimental command for instantiation of locales in proof contexts:
2632 instantiate <label>[<attrs>]: <loc>
2633 Instantiates locale <loc> and adds all its theorems to the current context
2634 taking into account their attributes. Label and attrs are optional
2635 modifiers, like in theorem declarations. If present, names of
2636 instantiated theorems are qualified with <label>, and the attributes
2637 <attrs> are applied after any attributes these theorems might have already.
2638 If the locale has assumptions, a chained fact of the form
2639 "<loc> t1 ... tn" is expected from which instantiations of the parameters
2640 are derived. The command does not support old-style locales declared
2641 with "locale (open)".
2642 A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
2644 * HOL: Tactic emulation methods induct_tac and case_tac understand static
2650 * Proof import: new image HOL4 contains the imported library from
2651 the HOL4 system with about 2500 theorems. It is imported by
2652 replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
2653 can be used like any other Isabelle image. See
2654 HOL/Import/HOL/README for more information.
2657 - Much improved handling of linear and partial orders.
2658 Reasoners for linear and partial orders are set up for type classes
2659 "linorder" and "order" respectively, and are added to the default simpset
2660 as solvers. This means that the simplifier can build transitivity chains
2661 to solve goals from the assumptions.
2662 - INCOMPATIBILITY: old proofs break occasionally. Typically, applications
2663 of blast or auto after simplification become unnecessary because the goal
2664 is solved by simplification already.
2666 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
2667 all proved in axiomatic type classes for semirings, rings and fields.
2670 - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
2671 now formalized using the Ring_and_Field theory mentioned above.
2672 - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
2673 than before, because now they are set up once in a generic manner.
2674 - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
2675 Look for the general versions in Ring_and_Field (and Power if they concern
2678 * Type "rat" of the rational numbers is now available in HOL-Complex.
2681 - Record types are now by default printed with their type abbreviation
2682 instead of the list of all field types. This can be configured via
2683 the reference "print_record_type_abbr".
2684 - Simproc "record_upd_simproc" for simplification of multiple updates added
2685 (not enabled by default).
2686 - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
2687 EX x. x = sel r to True (not enabled by default).
2688 - Tactic "record_split_simp_tac" to split and simplify records added.
2690 * 'specification' command added, allowing for definition by
2691 specification. There is also an 'ax_specification' command that
2692 introduces the new constants axiomatically.
2694 * arith(_tac) is now able to generate counterexamples for reals as well.
2696 * HOL-Algebra: new locale "ring" for non-commutative rings.
2698 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
2699 definitions, thanks to Sava Krsti\'{c} and John Matthews.
2701 * HOL-Matrix: a first theory for matrices in HOL with an application of
2702 matrix theory to linear programming.
2704 * Unions and Intersections:
2705 The latex output syntax of UN and INT has been changed
2706 from "\Union x \in A. B" to "\Union_{x \in A} B"
2707 i.e. the index formulae has become a subscript.
2708 Similarly for "\Union x. B", and for \Inter instead of \Union.
2710 * Unions and Intersections over Intervals:
2711 There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
2712 also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
2713 like in normal math, and corresponding versions for < and for intersection.
2715 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
2716 lexicographic dictonary ordering has been added as "lexord".
2718 * ML: the legacy theory structures Int and List have been removed. They had
2719 conflicted with ML Basis Library structures having the same names.
2721 * 'refute' command added to search for (finite) countermodels. Only works
2722 for a fragment of HOL. The installation of an external SAT solver is
2723 highly recommended. See "HOL/Refute.thy" for details.
2725 * 'quickcheck' command: Allows to find counterexamples by evaluating
2726 formulae under an assignment of free variables to random values.
2727 In contrast to 'refute', it can deal with inductive datatypes,
2728 but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
2734 * Streams now come with concatenation and are part of the HOLCF image
2738 New in Isabelle2003 (May 2003)
2739 ------------------------------
2743 * Provers/simplifier:
2745 - Completely reimplemented method simp (ML: Asm_full_simp_tac):
2746 Assumptions are now subject to complete mutual simplification,
2747 not just from left to right. The simplifier now preserves
2748 the order of assumptions.
2750 Potential INCOMPATIBILITY:
2752 -- simp sometimes diverges where the old version did
2753 not, e.g. invoking simp on the goal
2755 [| P (f x); y = x; f x = f y |] ==> Q
2757 now gives rise to the infinite reduction sequence
2759 P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
2761 Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
2764 -- Tactics combining classical reasoner and simplification (such as auto)
2765 are also affected by this change, because many of them rely on
2766 simp. They may sometimes diverge as well or yield a different numbers
2767 of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
2768 in case of problems. Sometimes subsequent calls to the classical
2769 reasoner will fail because a preceeding call to the simplifier too
2770 eagerly simplified the goal, e.g. deleted redundant premises.
2772 - The simplifier trace now shows the names of the applied rewrite rules
2774 - You can limit the number of recursive invocations of the simplifier
2775 during conditional rewriting (where the simplifie tries to solve the
2776 conditions before applying the rewrite rule):
2777 ML "simp_depth_limit := n"
2778 where n is an integer. Thus you can force termination where previously
2779 the simplifier would diverge.
2781 - Accepts free variables as head terms in congruence rules. Useful in Isar.
2783 - No longer aborts on failed congruence proof. Instead, the
2784 congruence is ignored.
2786 * Pure: New generic framework for extracting programs from constructive
2787 proofs. See HOL/Extraction.thy for an example instantiation, as well
2788 as HOL/Extraction for some case studies.
2790 * Pure: The main goal of the proof state is no longer shown by default, only
2791 the subgoals. This behaviour is controlled by a new flag.
2792 PG menu: Isabelle/Isar -> Settings -> Show Main Goal
2793 (ML: Proof.show_main_goal).
2795 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
2796 rules whose conclusion matches subgoal 1:
2797 PG menu: Isabelle/Isar -> Show me -> matching rules
2798 The rules are ordered by how closely they match the subgoal.
2799 In particular, rules that solve a subgoal outright are displayed first
2800 (or rather last, the way they are printed).
2801 (ML: ProofGeneral.print_intros())
2803 * Pure: New flag trace_unify_fail causes unification to print
2804 diagnostic information (PG: in trace buffer) when it fails. This is
2805 useful for figuring out why single step proofs like rule, erule or
2808 * Pure: Locale specifications now produce predicate definitions
2809 according to the body of text (covering assumptions modulo local
2810 definitions); predicate "loc_axioms" covers newly introduced text,
2811 while "loc" is cumulative wrt. all included locale expressions; the
2812 latter view is presented only on export into the global theory
2813 context; potential INCOMPATIBILITY, use "(open)" option to fall back
2814 on the old view without predicates;
2816 * Pure: predefined locales "var" and "struct" are useful for sharing
2817 parameters (as in CASL, for example); just specify something like
2818 ``var x + var y + struct M'' as import;
2820 * Pure: improved thms_containing: proper indexing of facts instead of
2821 raw theorems; check validity of results wrt. current name space;
2822 include local facts of proof configuration (also covers active
2823 locales), cover fixed variables in index; may use "_" in term
2824 specification; an optional limit for the number of printed facts may
2825 be given (the default is 40);
2827 * Pure: disallow duplicate fact bindings within new-style theory files
2830 * Provers: improved induct method: assumptions introduced by case
2831 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
2832 the goal statement); "foo" still refers to all facts collectively;
2834 * Provers: the function blast.overloaded has been removed: all constants
2835 are regarded as potentially overloaded, which improves robustness in exchange
2836 for slight decrease in efficiency;
2838 * Provers/linorder: New generic prover for transitivity reasoning over
2839 linear orders. Note: this prover is not efficient!
2841 * Isar: preview of problems to finish 'show' now produce an error
2842 rather than just a warning (in interactive mode);
2849 - Produces a counter example if it cannot prove a goal.
2850 Note that the counter example may be spurious if the goal is not a formula
2851 of quantifier-free linear arithmetic.
2852 In ProofGeneral the counter example appears in the trace buffer.
2854 - Knows about div k and mod k where k is a numeral of type nat or int.
2856 - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
2857 linear arithmetic fails. This takes account of quantifiers and divisibility.
2858 Presburger arithmetic can also be called explicitly via presburger(_tac).
2860 * simp's arithmetic capabilities have been enhanced a bit: it now
2861 takes ~= in premises into account (by performing a case split);
2863 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
2864 are distributed over a sum of terms;
2866 * New tactic "trans_tac" and method "trans" instantiate
2867 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
2870 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
2871 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
2873 * 'typedef' command has new option "open" to suppress the set
2876 * functions Min and Max on finite sets have been introduced (theory
2879 * attribute [symmetric] now works for relations as well; it turns
2880 (x,y) : R^-1 into (y,x) : R, and vice versa;
2882 * induct over a !!-quantified statement (say !!x1..xn):
2883 each "case" automatically performs "fix x1 .. xn" with exactly those names.
2885 * Map: `empty' is no longer a constant but a syntactic abbreviation for
2886 %x. None. Warning: empty_def now refers to the previously hidden definition
2889 * Algebra: formalization of classical algebra. Intended as base for
2890 any algebraic development in Isabelle. Currently covers group theory
2891 (up to Sylow's theorem) and ring theory (Universal Property of
2892 Univariate Polynomials). Contributions welcome;
2894 * GroupTheory: deleted, since its material has been moved to Algebra;
2896 * Complex: new directory of the complex numbers with numeric constants,
2897 nonstandard complex numbers, and some complex analysis, standard and
2898 nonstandard (Jacques Fleuriot);
2900 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
2902 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
2905 * Real/HahnBanach: updated and adapted to locales;
2907 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
2910 * UNITY: added the Meier-Sanders theory of progress sets;
2912 * MicroJava: bytecode verifier and lightweight bytecode verifier
2913 as abstract algorithms, instantiated to the JVM;
2915 * Bali: Java source language formalization. Type system, operational
2916 semantics, axiomatic semantics. Supported language features:
2917 classes, interfaces, objects,virtual methods, static methods,
2918 static/instance fields, arrays, access modifiers, definite
2919 assignment, exceptions.
2924 * ZF/Constructible: consistency proof for AC (Gdel's constructible
2927 * Main ZF: virtually all theories converted to new-style format;
2932 * Pure: Tactic.prove provides sane interface for internal proofs;
2933 omits the infamous "standard" operation, so this is more appropriate
2934 than prove_goalw_cterm in many situations (e.g. in simprocs);
2936 * Pure: improved error reporting of simprocs;
2938 * Provers: Simplifier.simproc(_i) provides sane interface for setting
2942 *** Document preparation ***
2944 * uses \par instead of \\ for line breaks in theory text. This may
2945 shift some page breaks in large documents. To get the old behaviour
2946 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
2948 * minimized dependencies of isabelle.sty and isabellesym.sty on
2951 * \<euro> now needs package babel/greek instead of marvosym (which
2954 * normal size for \<zero>...\<nine> (uses \mathbf instead of
2959 New in Isabelle2002 (March 2002)
2960 --------------------------------
2962 *** Document preparation ***
2964 * greatly simplified document preparation setup, including more
2965 graceful interpretation of isatool usedir -i/-d/-D options, and more
2966 instructive isatool mkdir; users should basically be able to get
2967 started with "isatool mkdir HOL Test && isatool make"; alternatively,
2968 users may run a separate document processing stage manually like this:
2969 "isatool usedir -D output HOL Test && isatool document Test/output";
2971 * theory dependency graph may now be incorporated into documents;
2972 isatool usedir -g true will produce session_graph.eps/.pdf for use
2973 with \includegraphics of LaTeX;
2975 * proper spacing of consecutive markup elements, especially text
2976 blocks after section headings;
2978 * support bold style (for single symbols only), input syntax is like
2979 this: "\<^bold>\<alpha>" or "\<^bold>A";
2981 * \<bullet> is now output as bold \cdot by default, which looks much
2982 better in printed text;
2984 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
2985 note that these symbols are currently unavailable in Proof General /
2986 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
2988 * isatool latex no longer depends on changed TEXINPUTS, instead
2989 isatool document copies the Isabelle style files to the target
2995 * Pure/Provers: improved proof by cases and induction;
2996 - 'case' command admits impromptu naming of parameters (such as
2998 - 'induct' method divinates rule instantiation from the inductive
2999 claim; no longer requires excessive ?P bindings for proper
3000 instantiation of cases;
3001 - 'induct' method properly enumerates all possibilities of set/type
3002 rules; as a consequence facts may be also passed through *type*
3003 rules without further ado;
3004 - 'induct' method now derives symbolic cases from the *rulified*
3005 rule (before it used to rulify cases stemming from the internal
3006 atomized version); this means that the context of a non-atomic
3007 statement becomes is included in the hypothesis, avoiding the
3008 slightly cumbersome show "PROP ?case" form;
3009 - 'induct' may now use elim-style induction rules without chaining
3010 facts, using ``missing'' premises from the goal state; this allows
3011 rules stemming from inductive sets to be applied in unstructured
3012 scripts, while still benefitting from proper handling of non-atomic
3013 statements; NB: major inductive premises need to be put first, all
3014 the rest of the goal is passed through the induction;
3015 - 'induct' proper support for mutual induction involving non-atomic
3016 rule statements (uses the new concept of simultaneous goals, see
3018 - append all possible rule selections, but only use the first
3019 success (no backtracking);
3020 - removed obsolete "(simplified)" and "(stripped)" options of methods;
3021 - undeclared rule case names default to numbers 1, 2, 3, ...;
3022 - added 'print_induct_rules' (covered by help item in recent Proof
3024 - moved induct/cases attributes to Pure, methods to Provers;
3025 - generic method setup instantiated for FOL and HOL;
3027 * Pure: support multiple simultaneous goal statements, for example
3028 "have a: A and b: B" (same for 'theorem' etc.); being a pure
3029 meta-level mechanism, this acts as if several individual goals had
3030 been stated separately; in particular common proof methods need to be
3031 repeated in order to cover all claims; note that a single elimination
3032 step is *not* sufficient to establish the two conjunctions, so this
3035 assume "A & B" then have A and B .. (*".." fails*)
3037 better use "obtain" in situations as above; alternative refer to
3038 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
3040 * Pure: proper integration with ``locales''; unlike the original
3041 version by Florian Kammller, Isar locales package high-level proof
3042 contexts rather than raw logical ones (e.g. we admit to include
3043 attributes everywhere); operations on locales include merge and
3044 rename; support for implicit arguments (``structures''); simultaneous
3045 type-inference over imports and text; see also HOL/ex/Locales.thy for
3048 * Pure: the following commands have been ``localized'', supporting a
3049 target locale specification "(in name)": 'lemma', 'theorem',
3050 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
3051 stored both within the locale and at the theory level (exported and
3052 qualified by the locale name);
3054 * Pure: theory goals may now be specified in ``long'' form, with
3055 ad-hoc contexts consisting of arbitrary locale elements. for example
3056 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
3057 definitions may be given, too); the result is a meta-level rule with
3058 the context elements being discharged in the obvious way;
3060 * Pure: new proof command 'using' allows to augment currently used
3061 facts after a goal statement ('using' is syntactically analogous to
3062 'apply', but acts on the goal's facts only); this allows chained facts
3063 to be separated into parts given before and after a claim, as in
3064 ``from a and b have C using d and e <proof>'';
3066 * Pure: renamed "antecedent" case to "rule_context";
3068 * Pure: new 'judgment' command records explicit information about the
3069 object-logic embedding (used by several tools internally); no longer
3070 use hard-wired "Trueprop";
3072 * Pure: added 'corollary' command;
3074 * Pure: fixed 'token_translation' command;
3076 * Pure: removed obsolete 'exported' attribute;
3078 * Pure: dummy pattern "_" in is/let is now automatically lifted over
3079 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
3080 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
3082 * Pure: method 'atomize' presents local goal premises as object-level
3083 statements (atomic meta-level propositions); setup controlled via
3084 rewrite rules declarations of 'atomize' attribute; example
3085 application: 'induct' method with proper rule statements in improper
3088 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
3089 now consider the syntactic context of assumptions, giving a better
3090 chance to get type-inference of the arguments right (this is
3091 especially important for locales);
3093 * Pure: "sorry" no longer requires quick_and_dirty in interactive
3096 * Pure/obtain: the formal conclusion "thesis", being marked as
3097 ``internal'', may no longer be reference directly in the text;
3098 potential INCOMPATIBILITY, may need to use "?thesis" in rare
3101 * Pure: generic 'sym' attribute which declares a rule both as pure
3102 'elim?' and for the 'symmetric' operation;
3104 * Pure: marginal comments ``--'' may now occur just anywhere in the
3105 text; the fixed correlation with particular command syntax has been
3108 * Pure: new method 'rules' is particularly well-suited for proof
3109 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
3110 but often produces more compact proof terms with less detours;
3112 * Pure/Provers/classical: simplified integration with pure rule
3113 attributes and methods; the classical "intro?/elim?/dest?"
3114 declarations coincide with the pure ones; the "rule" method no longer
3115 includes classically swapped intros; "intro" and "elim" methods no
3116 longer pick rules from the context; also got rid of ML declarations
3117 AddXIs/AddXEs/AddXDs; all of this has some potential for
3120 * Provers/classical: attribute 'swapped' produces classical inversions
3121 of introduction rules;
3123 * Provers/simplifier: 'simplified' attribute may refer to explicit
3124 rules instead of full simplifier context; 'iff' attribute handles
3127 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
3129 * HOL: 'recdef' now fails on unfinished automated proofs, use
3130 "(permissive)" option to recover old behavior;
3132 * HOL: 'inductive' no longer features separate (collective) attributes
3133 for 'intros' (was found too confusing);
3135 * HOL: properly declared induction rules less_induct and
3141 * HOL: moved over to sane numeral syntax; the new policy is as
3144 - 0 and 1 are polymorphic constants, which are defined on any
3145 numeric type (nat, int, real etc.);
3147 - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
3148 binary representation internally;
3150 - type nat has special constructor Suc, and generally prefers Suc 0
3151 over 1::nat and Suc (Suc 0) over 2::nat;
3153 This change may cause significant problems of INCOMPATIBILITY; here
3154 are some hints on converting existing sources:
3156 - due to the new "num" token, "-0" and "-1" etc. are now atomic
3157 entities, so expressions involving "-" (unary or binary minus) need
3158 to be spaced properly;
3160 - existing occurrences of "1" may need to be constraint "1::nat" or
3161 even replaced by Suc 0; similar for old "2";
3163 - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
3165 - remove all special provisions on numerals in proofs;
3167 * HOL: simp rules nat_number expand numerals on nat to Suc/0
3168 representation (depends on bin_arith_simps in the default context);
3170 * HOL: symbolic syntax for x^2 (numeral 2);
3172 * HOL: the class of all HOL types is now called "type" rather than
3173 "term"; INCOMPATIBILITY, need to adapt references to this type class
3174 in axclass/classes, instance/arities, and (usually rare) occurrences
3175 in typings (of consts etc.); internally the class is called
3176 "HOL.type", ML programs should refer to HOLogic.typeS;
3178 * HOL/record package improvements:
3179 - new derived operations "fields" to build a partial record section,
3180 "extend" to promote a fixed record to a record scheme, and
3181 "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
3182 declared as simp by default;
3183 - shared operations ("more", "fields", etc.) now need to be always
3184 qualified) --- potential INCOMPATIBILITY;
3185 - removed "make_scheme" operations (use "make" with "extend") --
3187 - removed "more" class (simply use "term") -- INCOMPATIBILITY;
3188 - provides cases/induct rules for use with corresponding Isar
3189 methods (for concrete records, record schemes, concrete more
3190 parts, and schematic more parts -- in that order);
3191 - internal definitions directly based on a light-weight abstract
3192 theory of product types over typedef rather than datatype;
3194 * HOL: generic code generator for generating executable ML code from
3195 specifications; specific support for HOL constructs such as inductive
3196 datatypes and sets, as well as recursive functions; can be invoked
3197 via 'generate_code' theory section;
3199 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
3201 * HOL: consolidated and renamed several theories. In particular:
3202 Ord.thy has been absorbed into HOL.thy
3203 String.thy has been absorbed into List.thy
3205 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
3206 (beware of argument permutation!);
3208 * HOL: linorder_less_split superseded by linorder_cases;
3210 * HOL/List: "nodups" renamed to "distinct";
3212 * HOL: added "The" definite description operator; move Hilbert's "Eps"
3213 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
3214 - Ex_def has changed, now need to use some_eq_ex
3216 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
3217 in this (rare) case use:
3219 delSWrapper "split_all_tac"
3220 addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
3222 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
3225 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
3226 Isabelle's type classes, ^ on functions and relations has too general
3227 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
3228 necessary to attach explicit type constraints;
3230 * HOL/Relation: the prefix name of the infix "O" has been changed from
3231 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
3232 renamed accordingly (eg "compI" -> "rel_compI").
3234 * HOL: syntax translations now work properly with numerals and records
3237 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
3238 of "lam" -- INCOMPATIBILITY;
3240 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
3241 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
3242 renamed "Product_Type.unit";
3244 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
3246 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
3247 the "cases" method);
3249 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
3252 * HOL/IMP: updated and converted to new-style theory format; several
3253 parts turned into readable document, with proper Isar proof texts and
3254 some explanations (by Gerwin Klein);
3256 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
3258 * HOL-Hyperreal is now a logic image;
3263 * Isar: consts/constdefs supports mixfix syntax for continuous
3266 * Isar: domain package adapted to new-style theory format, e.g. see
3269 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
3270 potential INCOMPATIBILITY; now use plain induct_tac instead of former
3271 lift.induct_tac, always use UU instead of Undef;
3273 * HOLCF/IMP: updated and converted to new-style theory;
3278 * Isar: proper integration of logic-specific tools and packages,
3279 including theory commands '(co)inductive', '(co)datatype',
3280 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
3281 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
3283 * theory Main no longer includes AC; for the Axiom of Choice, base
3284 your theory on Main_ZFC;
3286 * the integer library now covers quotients and remainders, with many
3287 laws relating division to addition, multiplication, etc.;
3289 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
3290 typeless version of the formalism;
3292 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
3295 * ZF/Induct: new directory for examples of inductive definitions,
3296 including theory Multiset for multiset orderings; converted to
3297 new-style theory format;
3299 * ZF: many new theorems about lists, ordinals, etc.;
3304 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
3305 variable proof controls level of detail: 0 = no proofs (only oracle
3306 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
3307 also ref manual for further ML interfaces;
3309 * Pure/axclass: removed obsolete ML interface
3310 goal_subclass/goal_arity;
3312 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
3313 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
3314 separate tokens, so expressions involving minus need to be spaced
3317 * Pure/syntax: support non-oriented infixes, using keyword "infix"
3318 rather than "infixl" or "infixr";
3320 * Pure/syntax: concrete syntax for dummy type variables admits genuine
3321 sort constraint specifications in type inference; e.g. "x::_::foo"
3322 ensures that the type of "x" is of sort "foo" (but not necessarily a
3325 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
3326 control output of nested => (types); the default behavior is
3329 * Pure/syntax: builtin parse translation for "_constify" turns valued
3330 tokens into AST constants;
3332 * Pure/syntax: prefer later declarations of translations and print
3333 translation functions; potential INCOMPATIBILITY: need to reverse
3334 multiple declarations for same syntax element constant;
3336 * Pure/show_hyps reset by default (in accordance to existing Isar
3339 * Provers/classical: renamed addaltern to addafter, addSaltern to
3342 * Provers/clasimp: ``iff'' declarations now handle conditional rules
3345 * system: tested support for MacOS X; should be able to get Isabelle +
3346 Proof General to work in a plain Terminal after installing Poly/ML
3347 (e.g. from the Isabelle distribution area) and GNU bash alone
3348 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
3349 support requires further installations, e.g. from
3350 http://fink.sourceforge.net/);
3352 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
3354 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
3355 of 40 MB), cf. ML_OPTIONS;
3357 * system: Proof General keywords specification is now part of the
3358 Isabelle distribution (see etc/isar-keywords.el);
3360 * system: support for persistent Proof General sessions (refrain from
3361 outdating all loaded theories on startup); user may create writable
3362 logic images like this: ``isabelle -q HOL Test'';
3364 * system: smart selection of Isabelle process versus Isabelle
3365 interface, accommodates case-insensitive file systems (e.g. HFS+); may
3366 run both "isabelle" and "Isabelle" even if file names are badly
3367 damaged (executable inspects the case of the first letter of its own
3368 name); added separate "isabelle-process" and "isabelle-interface";
3370 * system: refrain from any attempt at filtering input streams; no
3371 longer support ``8bit'' encoding of old isabelle font, instead proper
3372 iso-latin characters may now be used; the related isatools
3373 "symbolinput" and "nonascii" have disappeared as well;
3375 * system: removed old "xterm" interface (the print modes "xterm" and
3376 "xterm_color" are still available for direct use in a suitable
3381 New in Isabelle99-2 (February 2001)
3382 -----------------------------------
3384 *** Overview of INCOMPATIBILITIES ***
3386 * HOL: please note that theories in the Library and elsewhere often use the
3387 new-style (Isar) format; to refer to their theorems in an ML script you must
3388 bind them to ML identifers by e.g. val thm_name = thm "thm_name";
3390 * HOL: inductive package no longer splits induction rule aggressively,
3391 but only as far as specified by the introductions given; the old
3392 format may be recovered via ML function complete_split_rule or attribute
3393 'split_rule (complete)';
3395 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
3396 gfp_Tarski to gfp_unfold;
3398 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
3400 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
3401 relation); infix "^^" has been renamed "``"; infix "``" has been
3402 renamed "`"; "univalent" has been renamed "single_valued";
3404 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
3407 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
3409 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
3411 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
3412 consequence, it is no longer monotonic wrt. the local goal context
3413 (which is now passed through the inductive cases);
3415 * Document preparation: renamed standard symbols \<ll> to \<lless> and
3416 \<gg> to \<ggreater>;
3419 *** Document preparation ***
3421 * \isabellestyle{NAME} selects version of Isabelle output (currently
3422 available: are "it" for near math-mode best-style output, "sl" for
3423 slanted text style, and "tt" for plain type-writer; if no
3424 \isabellestyle command is given, output is according to slanted
3427 * support sub/super scripts (for single symbols only), input syntax is
3428 like this: "A\<^sup>*" or "A\<^sup>\<star>";
3430 * some more standard symbols; see Appendix A of the system manual for
3431 the complete list of symbols defined in isabellesym.sty;
3433 * improved isabelle style files; more abstract symbol implementation
3434 (should now use \isamath{...} and \isatext{...} in custom symbol
3437 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
3438 state; Note that presentation of goal states does not conform to
3439 actual human-readable proof documents. Please do not include goal
3440 states into document output unless you really know what you are doing!
3442 * proper indentation of antiquoted output with proportional LaTeX
3445 * no_document ML operator temporarily disables LaTeX document
3448 * isatool unsymbolize tunes sources for plain ASCII communication;
3453 * Pure: Isar now suffers initial goal statements to contain unbound
3454 schematic variables (this does not conform to actual readable proof
3455 documents, due to unpredictable outcome and non-compositional proof
3456 checking); users who know what they are doing may use schematic goals
3457 for Prolog-style synthesis of proven results;
3459 * Pure: assumption method (an implicit finishing) now handles actual
3462 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
3463 initial goal, declare "that" only as Pure intro (only for single
3464 steps); the "that" rule assumption may now be involved in implicit
3465 finishing, thus ".." becomes a feasible for trivial obtains;
3467 * Pure: default proof step now includes 'intro_classes'; thus trivial
3468 instance proofs may be performed by "..";
3470 * Pure: ?thesis / ?this / "..." now work for pure meta-level
3473 * Pure: more robust selection of calculational rules;
3475 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
3476 rule (as well as the assumption rule);
3478 * Pure: 'thm_deps' command visualizes dependencies of theorems and
3479 lemmas, using the graph browser tool;
3481 * Pure: predict failure of "show" in interactive mode;
3483 * Pure: 'thms_containing' now takes actual terms as arguments;
3485 * HOL: improved method 'induct' --- now handles non-atomic goals
3486 (potential INCOMPATIBILITY); tuned error handling;
3488 * HOL: cases and induct rules now provide explicit hints about the
3489 number of facts to be consumed (0 for "type" and 1 for "set" rules);
3490 any remaining facts are inserted into the goal verbatim;
3492 * HOL: local contexts (aka cases) may now contain term bindings as
3493 well; the 'cases' and 'induct' methods new provide a ?case binding for
3494 the result to be shown in each case;
3496 * HOL: added 'recdef_tc' command;
3498 * isatool convert assists in eliminating legacy ML scripts;
3503 * HOL/Library: a collection of generic theories to be used together
3504 with main HOL; the theory loader path already includes this directory
3505 by default; the following existing theories have been moved here:
3506 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
3507 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
3509 * HOL/Unix: "Some aspects of Unix file-system security", a typical
3510 modelling and verification task performed in Isabelle/HOL +
3511 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
3513 * HOL/Algebra: special summation operator SUM no longer exists, it has
3514 been replaced by setsum; infix 'assoc' now has priority 50 (like
3515 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
3516 'domain', this makes the theory consistent with mathematical
3519 * HOL basics: added overloaded operations "inverse" and "divide"
3520 (infix "/"), syntax for generic "abs" operation, generic summation
3523 * HOL/typedef: simplified package, provide more useful rules (see also
3526 * HOL/datatype: induction rule for arbitrarily branching datatypes is
3527 now expressed as a proper nested rule (old-style tactic scripts may
3528 require atomize_strip_tac to cope with non-atomic premises);
3530 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
3531 to "split_conv" (old name still available for compatibility);
3533 * HOL: improved concrete syntax for strings (e.g. allows translation
3534 rules with string literals);
3536 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
3537 and Fleuriot's mechanization of analysis, including the transcendental
3538 functions for the reals;
3540 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
3545 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
3546 "lam" is displayed as TWO lambda-symbols
3548 * CTT: theory Main now available, containing everything (that is, Bool
3554 * Pure: the Simplifier has been implemented properly as a derived rule
3555 outside of the actual kernel (at last!); the overall performance
3556 penalty in practical applications is about 50%, while reliability of
3557 the Isabelle inference kernel has been greatly improved;
3559 * print modes "brackets" and "no_brackets" control output of nested =>
3560 (types) and ==> (props); the default behaviour is "brackets";
3562 * Provers: fast_tac (and friends) now handle actual object-logic rules
3563 as assumptions as well;
3565 * system: support Poly/ML 4.0;
3567 * system: isatool install handles KDE version 1 or 2;
3571 New in Isabelle99-1 (October 2000)
3572 ----------------------------------
3574 *** Overview of INCOMPATIBILITIES ***
3576 * HOL: simplification of natural numbers is much changed; to partly
3577 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
3578 issue the following ML commands:
3580 Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
3581 Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
3583 * HOL: simplification no longer dives into case-expressions; this is
3584 controlled by "t.weak_case_cong" for each datatype t;
3586 * HOL: nat_less_induct renamed to less_induct;
3588 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
3589 fixsome to patch .thy and .ML sources automatically;
3591 select_equality -> some_equality
3592 select_eq_Ex -> some_eq_ex
3593 selectI2EX -> someI2_ex
3596 select1_equality -> some1_equality
3597 Eps_sym_eq -> some_sym_eq_trivial
3598 Eps_eq -> some_eq_trivial
3600 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
3602 * HOL: removed obsolete theorem binding expand_if (refer to split_if
3605 * HOL: the recursion equations generated by 'recdef' are now called
3606 f.simps instead of f.rules;
3608 * HOL: qed_spec_mp now also handles bounded ALL as well;
3610 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
3611 sometimes be needed;
3613 * HOL: the constant for "f``x" is now "image" rather than "op ``";
3615 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
3617 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
3618 product is now "<*>" instead of "Times"; the lexicographic product is
3619 now "<*lex*>" instead of "**";
3621 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
3622 of main HOL, but was unused); better use HOL's datatype package;
3624 * HOL: removed "symbols" syntax for constant "override" of theory Map;
3625 the old syntax may be recovered as follows:
3628 override :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
3629 (infixl "\\<oplus>" 100)
3631 * HOL/Real: "rabs" replaced by overloaded "abs" function;
3633 * HOL/ML: even fewer consts are declared as global (see theories Ord,
3634 Lfp, Gfp, WF); this only affects ML packages that refer to const names
3637 * HOL and ZF: syntax for quotienting wrt an equivalence relation
3638 changed from A/r to A//r;
3640 * ZF: new treatment of arithmetic (nat & int) may break some old
3643 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
3644 rulify -> rule_format, elimify -> elim_format, ...);
3646 * Isar/Provers: intro/elim/dest attributes changed; renamed
3647 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
3648 should have to change intro!! to intro? only); replaced "delrule" by
3651 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
3653 * Provers: strengthened force_tac by using new first_best_tac;
3655 * LaTeX document preparation: several changes of isabelle.sty (see
3659 *** Document preparation ***
3661 * formal comments (text blocks etc.) in new-style theories may now
3662 contain antiquotations of thm/prop/term/typ/text to be presented
3663 according to latex print mode; concrete syntax is like this:
3664 @{term[show_types] "f(x) = a + x"};
3666 * isatool mkdir provides easy setup of Isabelle session directories,
3667 including proper document sources;
3669 * generated LaTeX sources are now deleted after successful run
3670 (isatool document -c); may retain a copy somewhere else via -D option
3673 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
3674 style files, achieving self-contained LaTeX sources and simplifying
3677 * old-style theories now produce (crude) LaTeX output as well;
3679 * browser info session directories are now self-contained (may be put
3680 on WWW server seperately); improved graphs of nested sessions; removed
3681 graph for 'all sessions';
3683 * several improvements in isabelle style files; \isabellestyle{it}
3684 produces fake math mode output; \isamarkupheader is now \section by
3685 default; see lib/texinputs/isabelle.sty etc.;
3690 * Isar/Pure: local results and corresponding term bindings are now
3691 subject to Hindley-Milner polymorphism (similar to ML); this
3692 accommodates incremental type-inference very nicely;
3694 * Isar/Pure: new derived language element 'obtain' supports
3695 generalized existence reasoning;
3697 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
3698 support accumulation of results, without applying any rules yet;
3699 useful to collect intermediate results without explicit name
3700 references, and for use with transitivity rules with more than 2
3703 * Isar/Pure: scalable support for case-analysis type proofs: new
3704 'case' language element refers to local contexts symbolically, as
3705 produced by certain proof methods; internally, case names are attached
3706 to theorems as "tags";
3708 * Isar/Pure: theory command 'hide' removes declarations from
3709 class/type/const name spaces;
3711 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
3712 indicate potential overloading;
3714 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
3716 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
3717 "{a,b,c}" instead of {a,b,c};
3719 * Isar/Pure now provides its own version of intro/elim/dest
3720 attributes; useful for building new logics, but beware of confusion
3721 with the version in Provers/classical;
3723 * Isar/Pure: the local context of (non-atomic) goals is provided via
3724 case name 'antecedent';
3726 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
3727 to the current context is now done automatically);
3729 * Isar/Pure: theory command 'method_setup' provides a simple interface
3730 for definining proof methods in ML;
3732 * Isar/Provers: intro/elim/dest attributes changed; renamed
3733 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
3734 most cases, one should have to change intro!! to intro? only);
3735 replaced "delrule" by "rule del";
3737 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
3738 'symmetric' attribute (the latter supercedes [RS sym]);
3740 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
3741 method modifier); 'simp' method: 'only:' modifier removes loopers as
3742 well (including splits);
3744 * Isar/Provers: Simplifier and Classical methods now support all kind
3745 of modifiers used in the past, including 'cong', 'iff', etc.
3747 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
3748 of Simplifier and Classical reasoner);
3750 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
3751 now support named cases; major packages (inductive, datatype, primrec,
3752 recdef) support case names and properly name parameters;
3754 * Isar/HOL: new transitivity rules for substitution in inequalities --
3755 monotonicity conditions are extracted to be proven at end of
3758 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
3761 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
3762 split_if split_if_asm; datatype package provides theorems foo.splits =
3763 foo.split foo.split_asm for each datatype;
3765 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
3766 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
3767 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
3768 use "(cases (simplified))" method in proper proof texts);
3770 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
3772 * Isar: names of theorems etc. may be natural numbers as well;
3774 * Isar: 'pr' command: optional arguments for goals_limit and
3775 ProofContext.prems_limit; no longer prints theory contexts, but only
3778 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
3779 additional print modes to be specified; e.g. "pr(latex)" will print
3780 proof state according to the Isabelle LaTeX style;
3782 * Isar: improved support for emulating tactic scripts, including proof
3783 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
3784 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
3785 (for HOL datatypes);
3787 * Isar: simplified (more robust) goal selection of proof methods: 1st
3788 goal, all goals, or explicit goal specifier (tactic emulation); thus
3789 'proof method scripts' have to be in depth-first order;
3791 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
3793 * Isar: removed 'help' command, which hasn't been too helpful anyway;
3794 should instead use individual commands for printing items
3795 (print_commands, print_methods etc.);
3797 * Isar: added 'nothing' --- the empty list of theorems;
3802 * HOL/MicroJava: formalization of a fragment of Java, together with a
3803 corresponding virtual machine and a specification of its bytecode
3804 verifier and a lightweight bytecode verifier, including proofs of
3805 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
3806 Cornelia Pusch (see also the homepage of project Bali at
3807 http://isabelle.in.tum.de/Bali/);
3809 * HOL/Algebra: new theory of rings and univariate polynomials, by
3812 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
3813 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
3816 * HOL/Lattice: fundamental concepts of lattice theory and order
3817 structures, including duals, properties of bounds versus algebraic
3818 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
3819 Theorem for complete lattices etc.; may also serve as a demonstration
3820 for abstract algebraic reasoning using axiomatic type classes, and
3821 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
3823 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
3826 * HOL/IMPP: extension of IMP with local variables and mutually
3827 recursive procedures, by David von Oheimb;
3829 * HOL/Lambda: converted into new-style theory and document;
3831 * HOL/ex/Multiquote: example of multiple nested quotations and
3832 anti-quotations -- basically a generalized version of de-Bruijn
3833 representation; very useful in avoiding lifting of operations;
3835 * HOL/record: added general record equality rule to simpset; fixed
3836 select-update simplification procedure to handle extended records as
3837 well; admit "r" as field name;
3839 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
3840 other numeric types and also as the identity of groups, rings, etc.;
3842 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
3843 Types nat and int belong to this axclass;
3845 * HOL: greatly improved simplification involving numerals of type nat, int, real:
3846 (i + #8 + j) = Suc k simplifies to #7 + (i + j) = k
3847 i*j + k + j*#3*i simplifies to #4*(i*j) + k
3848 two terms #m*u and #n*u are replaced by #(m+n)*u
3849 (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
3850 and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
3851 or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
3853 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
3854 powerful prover for predicate logic but knows nothing of clasets; see
3855 ex/mesontest.ML and ex/mesontest2.ML for example applications;
3857 * HOL: new version of "case_tac" subsumes both boolean case split and
3858 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
3859 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
3861 * HOL: simplification no longer dives into case-expressions: only the
3862 selector expression is simplified, but not the remaining arms; to
3863 enable full simplification of case-expressions for datatype t, you may
3864 remove t.weak_case_cong from the simpset, either globally (Delcongs
3865 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
3867 * HOL/recdef: the recursion equations generated by 'recdef' for
3868 function 'f' are now called f.simps instead of f.rules; if all
3869 termination conditions are proved automatically, these simplification
3870 rules are added to the simpset, as in primrec; rules may be named
3871 individually as well, resulting in a separate list of theorems for
3874 * HOL/While is a new theory that provides a while-combinator. It
3875 permits the definition of tail-recursive functions without the
3876 provision of a termination measure. The latter is necessary once the
3877 invariant proof rule for while is applied.
3879 * HOL: new (overloaded) notation for the set of elements below/above
3880 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
3882 * HOL: theorems impI, allI, ballI bound as "strip";
3884 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
3885 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
3886 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
3888 * HOL/Real: "rabs" replaced by overloaded "abs" function;
3890 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
3891 main HOL, but was unused);
3893 * HOL: fewer consts declared as global (e.g. have to refer to
3894 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
3896 * HOL: tuned AST representation of nested pairs, avoiding bogus output
3897 in case of overlap with user translations (e.g. judgements over
3898 tuples); (note that the underlying logical represenation is still
3904 * ZF: simplification automatically cancels common terms in arithmetic
3905 expressions over nat and int;
3907 * ZF: new treatment of nat to minimize type-checking: all operators
3908 coerce their operands to a natural number using the function natify,
3909 making the algebraic laws unconditional;
3911 * ZF: as above, for int: operators coerce their operands to an integer
3912 using the function intify;
3914 * ZF: the integer library now contains many of the usual laws for the
3915 orderings, including $<=, and monotonicity laws for $+ and $*;
3917 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
3920 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
3921 to the simplifier and classical reasoner simultaneously;
3926 * Provers: blast_tac now handles actual object-logic rules as
3927 assumptions; note that auto_tac uses blast_tac internally as well;
3929 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
3930 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
3932 * Provers: delrules now handles destruct rules as well (no longer need
3933 explicit make_elim);
3935 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
3936 [| inj ?f; ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
3937 use instead the strong form,
3938 [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
3939 in HOL, FOL and ZF the function cla_make_elim will create such rules
3940 from destruct-rules;
3942 * Provers: Simplifier.easy_setup provides a fast path to basic
3943 Simplifier setup for new object-logics;
3945 * Pure: AST translation rules no longer require constant head on LHS;
3947 * Pure: improved name spaces: ambiguous output is qualified; support
3948 for hiding of names;
3950 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
3951 XSYMBOL_HOME; no longer need to do manual configuration in most
3954 * system: compression of ML heaps images may now be controlled via -c
3955 option of isabelle and isatool usedir (currently only observed by
3958 * system: isatool installfonts may handle X-Symbol fonts as well (very
3959 useful for remote X11);
3961 * system: provide TAGS file for Isabelle sources;
3963 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
3966 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
3967 timing flag supersedes proof_timing and Toplevel.trace;
3969 * ML: new combinators |>> and |>>> for incremental transformations
3970 with secondary results (e.g. certain theory extensions):
3972 * ML: PureThy.add_defs gets additional argument to indicate potential
3973 overloading (usually false);
3975 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
3980 New in Isabelle99 (October 1999)
3981 --------------------------------
3983 *** Overview of INCOMPATIBILITIES (see below for more details) ***
3985 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
3986 are no longer simplified. (This allows the simplifier to unfold recursive
3987 functional programs.) To restore the old behaviour, declare
3989 Delcongs [if_weak_cong];
3991 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
3994 * HOL: the predicate "inj" is now defined by translation to "inj_on";
3996 * HOL/datatype: mutual_induct_tac no longer exists --
3997 use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
3999 * HOL/typedef: fixed type inference for representing set; type
4000 arguments now have to occur explicitly on the rhs as type constraints;
4002 * ZF: The con_defs part of an inductive definition may no longer refer
4003 to constants declared in the same theory;
4005 * HOL, ZF: the function mk_cases, generated by the inductive
4006 definition package, has lost an argument. To simplify its result, it
4007 uses the default simpset instead of a supplied list of theorems.
4009 * HOL/List: the constructors of type list are now Nil and Cons;
4011 * Simplifier: the type of the infix ML functions
4012 setSSolver addSSolver setSolver addSolver
4013 is now simpset * solver -> simpset where `solver' is a new abstract type
4014 for packaging solvers. A solver is created via
4015 mk_solver: string -> (thm list -> int -> tactic) -> solver
4016 where the string argument is only a comment.
4021 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
4022 decision procedure for linear arithmetic. Currently it is used for
4023 types `nat', `int', and `real' in HOL (see below); it can, should and
4024 will be instantiated for other types and logics as well.
4026 * The simplifier now accepts rewrite rules with flexible heads, eg
4027 hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
4028 They are applied like any rule with a non-pattern lhs, i.e. by first-order
4034 * New Isabelle/Isar subsystem provides an alternative to traditional
4035 tactical theorem proving; together with the ProofGeneral/isar user
4036 interface it offers an interactive environment for developing human
4037 readable proof documents (Isar == Intelligible semi-automated
4038 reasoning); for further information see isatool doc isar-ref,
4039 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
4041 * improved and simplified presentation of theories: better HTML markup
4042 (including colors), graph views in several sizes; isatool usedir now
4043 provides a proper interface for user theories (via -P option); actual
4044 document preparation based on (PDF)LaTeX is available as well (for
4045 new-style theories only); see isatool doc system for more information;
4047 * native support for Proof General, both for classic Isabelle and
4050 * ML function thm_deps visualizes dependencies of theorems and lemmas,
4051 using the graph browser tool;
4053 * Isabelle manuals now also available as PDF;
4055 * theory loader rewritten from scratch (may not be fully
4056 bug-compatible); old loadpath variable has been replaced by show_path,
4057 add_path, del_path, reset_path functions; new operations such as
4058 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
4061 * improved isatool install: option -k creates KDE application icon,
4062 option -p DIR installs standalone binaries;
4064 * added ML_PLATFORM setting (useful for cross-platform installations);
4065 more robust handling of platform specific ML images for SML/NJ;
4067 * the settings environment is now statically scoped, i.e. it is never
4068 created again in sub-processes invoked from isabelle, isatool, or
4071 * path element specification '~~' refers to '$ISABELLE_HOME';
4073 * in locales, the "assumes" and "defines" parts may be omitted if
4076 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
4079 * new print_mode "HTML";
4081 * new flag show_tags controls display of tags of theorems (which are
4082 basically just comments that may be attached by some tools);
4084 * Isamode 2.6 requires patch to accomodate change of Isabelle font
4085 mode and goal output format:
4087 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
4089 < (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
4091 > (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
4092 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
4094 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
4096 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
4098 * function bind_thms stores lists of theorems (cf. bind_thm);
4100 * new shorthand tactics ftac, eatac, datac, fatac;
4102 * qed (and friends) now accept "" as result name; in that case the
4103 theorem is not stored, but proper checks and presentation of the
4106 * theorem database now also indexes constants "Trueprop", "all",
4107 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
4112 ** HOL arithmetic **
4114 * There are now decision procedures for linear arithmetic over nat and
4117 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
4118 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
4119 are treated as atomic; subformulae not involving type `nat' or `int'
4120 are ignored; quantified subformulae are ignored unless they are
4121 positive universal or negative existential. The tactic has to be
4122 invoked by hand and can be a little bit slow. In particular, the
4123 running time is exponential in the number of occurrences of `min' and
4124 `max', and `-' on `nat'.
4126 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
4127 (negated) (in)equalities among the premises and the conclusion into
4128 account (i.e. no compound formulae) and does not know about `min' and
4129 `max', and `-' on `nat'. It is fast and is used automatically by the
4132 NB: At the moment, these decision procedures do not cope with mixed
4133 nat/int formulae where the two parts interact, such as `m < n ==>
4136 * HOL/Numeral provides a generic theory of numerals (encoded
4137 efficiently as bit strings); setup for types nat/int/real is in place;
4138 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
4139 int, existing theories and proof scripts may require a few additional
4142 * integer division and remainder can now be performed on constant
4145 * many properties of integer multiplication, division and remainder
4148 * An interface to the Stanford Validity Checker (SVC) is available through the
4149 tactic svc_tac. Propositional tautologies and theorems of linear arithmetic
4150 are proved automatically. SVC must be installed separately, and its results
4151 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
4152 invocation of the underlying oracle). For SVC see
4153 http://verify.stanford.edu/SVC
4155 * IsaMakefile: the HOL-Real target now builds an actual image;
4160 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
4161 (in Isabelle/Isar) -- by Gertrud Bauer;
4163 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
4164 analysis for assembly languages with subtypes;
4166 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
4167 -- avoids syntactic ambiguities and treats state, transition, and
4168 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
4169 changed syntax and (many) tactics;
4171 * HOL/inductive: Now also handles more general introduction rules such
4172 as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
4173 theorems are now maintained within the theory (maintained via the
4176 * HOL/datatype: Now also handles arbitrarily branching datatypes
4177 (using function types) such as
4179 datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
4181 * HOL/record: record_simproc (part of the default simpset) takes care
4182 of selectors applied to updated records; record_split_tac is no longer
4183 part of the default claset; update_defs may now be removed from the
4184 simpset in many cases; COMPATIBILITY: old behavior achieved by
4186 claset_ref () := claset() addSWrapper record_split_wrapper;
4187 Delsimprocs [record_simproc]
4189 * HOL/typedef: fixed type inference for representing set; type
4190 arguments now have to occur explicitly on the rhs as type constraints;
4192 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
4193 names rather than an ML expression;
4195 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
4196 supplied later. Program schemes can be defined, such as
4197 "While B C s = (if B s then While B C (C s) else s)"
4198 where the well-founded relation can be chosen after B and C have been given.
4200 * HOL/List: the constructors of type list are now Nil and Cons;
4201 INCOMPATIBILITY: while [] and infix # syntax is still there, of
4202 course, ML tools referring to List.list.op # etc. have to be adapted;
4204 * HOL_quantifiers flag superseded by "HOL" print mode, which is
4205 disabled by default; run isabelle with option -m HOL to get back to
4206 the original Gordon/HOL-style output;
4208 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
4209 ALL x<=y. P, EX x<y. P, EX x<=y. P;
4211 * HOL basic syntax simplified (more orthogonal): all variants of
4212 All/Ex now support plain / symbolic / HOL notation; plain syntax for
4213 Eps operator is provided as well: "SOME x. P[x]";
4215 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
4217 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
4218 thus available for user theories;
4220 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
4221 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
4224 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
4225 several times and then mp;
4230 * the notation <<...>> is now available as a notation for sequences of
4233 * the simplifier is now installed
4235 * the axiom system has been generalized (thanks to Soren Heilmann)
4237 * the classical reasoner now has a default rule database
4242 * new primrec section allows primitive recursive functions to be given
4243 directly (as in HOL) over datatypes and the natural numbers;
4245 * new tactics induct_tac and exhaust_tac for induction (or case
4246 analysis) over datatypes and the natural numbers;
4248 * the datatype declaration of type T now defines the recursor T_rec;
4250 * simplification automatically does freeness reasoning for datatype
4253 * automatic type-inference, with AddTCs command to insert new
4254 type-checking rules;
4256 * datatype introduction rules are now added as Safe Introduction rules
4259 * the syntax "if P then x else y" is now available in addition to
4263 *** Internal programming interfaces ***
4265 * tuned simplifier trace output; new flag debug_simp;
4267 * structures Vartab / Termtab (instances of TableFun) offer efficient
4268 tables indexed by indexname_ord / term_ord (compatible with aconv);
4270 * AxClass.axclass_tac lost the theory argument;
4272 * tuned current_goals_markers semantics: begin / end goal avoids
4273 printing empty lines;
4275 * removed prs and prs_fn hook, which was broken because it did not
4276 include \n in its semantics, forcing writeln to add one
4277 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
4278 string -> unit if you really want to output text without newline;
4280 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
4281 plain output, interface builders may have to enable 'isabelle_font'
4282 mode to get Isabelle font glyphs as before;
4284 * refined token_translation interface; INCOMPATIBILITY: output length
4285 now of type real instead of int;
4287 * theory loader actions may be traced via new ThyInfo.add_hook
4288 interface (see src/Pure/Thy/thy_info.ML); example application: keep
4289 your own database of information attached to *whole* theories -- as
4290 opposed to intra-theory data slots offered via TheoryDataFun;
4292 * proper handling of dangling sort hypotheses (at last!);
4293 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
4294 extra sort hypotheses that can be witnessed from the type signature;
4295 the force_strip_shyps flag is gone, any remaining shyps are simply
4296 left in the theorem (with a warning issued by strip_shyps_warning);
4300 New in Isabelle98-1 (October 1998)
4301 ----------------------------------
4303 *** Overview of INCOMPATIBILITIES (see below for more details) ***
4305 * several changes of automated proof tools;
4307 * HOL: major changes to the inductive and datatype packages, including
4308 some minor incompatibilities of theory syntax;
4310 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
4313 * HOL: removed duplicate thms in Arith:
4314 less_imp_add_less should be replaced by trans_less_add1
4315 le_imp_add_le should be replaced by trans_le_add1
4317 * HOL: unary minus is now overloaded (new type constraints may be
4320 * HOL and ZF: unary minus for integers is now #- instead of #~. In
4321 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
4322 now taken as an integer constant.
4324 * Pure: ML function 'theory_of' renamed to 'theory';
4330 1. Asm_full_simp_tac is now more aggressive.
4331 1. It will sometimes reorient premises if that increases their power to
4333 2. It does no longer proceed strictly from left to right but may also
4334 rotate premises to achieve further simplification.
4335 For compatibility reasons there is now Asm_lr_simp_tac which is like the
4336 old Asm_full_simp_tac in that it does not rotate premises.
4337 2. The simplifier now knows a little bit about nat-arithmetic.
4339 * Classical reasoner: wrapper mechanism for the classical reasoner now
4340 allows for selected deletion of wrappers, by introduction of names for
4341 wrapper functionals. This implies that addbefore, addSbefore,
4342 addaltern, and addSaltern now take a pair (name, tactic) as argument,
4343 and that adding two tactics with the same name overwrites the first
4344 one (emitting a warning).
4345 type wrapper = (int -> tactic) -> (int -> tactic)
4346 setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
4347 addWrapper, addSWrapper: claset * (string * wrapper) -> claset
4348 delWrapper, delSWrapper: claset * string -> claset
4349 getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
4351 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
4352 semantics; addbefore now affects only the unsafe part of step_tac
4353 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
4354 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
4357 * Classical reasoner: setwrapper to setWrapper and compwrapper to
4358 compWrapper; added safe wrapper (and access functions for it);
4360 * HOL/split_all_tac is now much faster and fails if there is nothing
4361 to split. Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
4362 and the names of the automatically generated variables have changed.
4363 split_all_tac has moved within claset() from unsafe wrappers to safe
4364 wrappers, which means that !!-bound variables are split much more
4365 aggressively, and safe_tac and clarify_tac now split such variables.
4366 If this splitting is not appropriate, use delSWrapper "split_all_tac".
4367 Note: the same holds for record_split_tac, which does the job of
4368 split_all_tac for record fields.
4370 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
4371 permanently to the default simpset using Addsplits just like
4372 Addsimps. They can be removed via Delsplits just like
4373 Delsimps. Lower-case versions are also available.
4375 * HOL/Simplifier: The rule split_if is now part of the default
4376 simpset. This means that the simplifier will eliminate all occurrences
4377 of if-then-else in the conclusion of a goal. To prevent this, you can
4378 either remove split_if completely from the default simpset by
4379 `Delsplits [split_if]' or remove it in a specific call of the
4380 simplifier using `... delsplits [split_if]'. You can also add/delete
4381 other case splitting rules to/from the default simpset: every datatype
4382 generates suitable rules `split_t_case' and `split_t_case_asm' (where
4383 t is the name of the datatype).
4385 * Classical reasoner / Simplifier combination: new force_tac (and
4386 derivatives Force_tac, force) combines rewriting and classical
4387 reasoning (and whatever other tools) similarly to auto_tac, but is
4388 aimed to solve the given subgoal completely.
4393 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
4394 and `goalw': the theory is no longer needed as an explicit argument -
4395 the current theory context is used; assumptions are no longer returned
4396 at the ML-level unless one of them starts with ==> or !!; it is
4397 recommended to convert to these new commands using isatool fixgoal
4398 (backup your sources first!);
4400 * new top-level commands 'thm' and 'thms' for retrieving theorems from
4401 the current theory context, and 'theory' to lookup stored theories;
4403 * new theory section 'locale' for declaring constants, assumptions and
4404 definitions that have local scope;
4406 * new theory section 'nonterminals' for purely syntactic types;
4408 * new theory section 'setup' for generic ML setup functions
4409 (e.g. package initialization);
4411 * the distribution now includes Isabelle icons: see
4412 lib/logo/isabelle-{small,tiny}.xpm;
4414 * isatool install - install binaries with absolute references to
4417 * isatool logo -- create instances of the Isabelle logo (as EPS);
4419 * print mode 'emacs' reserved for Isamode;
4421 * support multiple print (ast) translations per constant name;
4423 * theorems involving oracles are now printed with a suffixed [!];
4428 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
4430 * HOL/inductive package reorganized and improved: now supports mutual
4436 oddI "n : EVEN ==> Suc n : ODD"
4437 evenI "n : ODD ==> Suc n : EVEN"
4439 new theorem list "elims" contains an elimination rule for each of the
4440 recursive sets; inductive definitions now handle disjunctive premises
4441 correctly (also ZF);
4443 INCOMPATIBILITIES: requires Inductive as an ancestor; component
4444 "mutual_induct" no longer exists - the induction rule is always
4445 contained in "induct";
4448 * HOL/datatype package re-implemented and greatly improved: now
4449 supports mutually recursive datatypes such as
4452 'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
4453 | SUM ('a aexp) ('a aexp)
4454 | DIFF ('a aexp) ('a aexp)
4457 'a bexp = LESS ('a aexp) ('a aexp)
4458 | AND ('a bexp) ('a bexp)
4459 | OR ('a bexp) ('a bexp)
4461 as well as indirectly recursive datatypes such as
4464 ('a, 'b) term = Var 'a
4465 | App 'b ((('a, 'b) term) list)
4467 The new tactic mutual_induct_tac [<var_1>, ..., <var_n>] i performs
4468 induction on mutually / indirectly recursive datatypes.
4470 Primrec equations are now stored in theory and can be accessed via
4471 <function_name>.simps.
4475 - Theories using datatypes must now have theory Datatype as an
4477 - The specific <typename>.induct_tac no longer exists - use the
4478 generic induct_tac instead.
4479 - natE has been renamed to nat.exhaust - use exhaust_tac
4480 instead of res_inst_tac ... natE. Note that the variable
4481 names in nat.exhaust differ from the names in natE, this
4482 may cause some "fragile" proofs to fail.
4483 - The theorems split_<typename>_case and split_<typename>_case_asm
4484 have been renamed to <typename>.split and <typename>.split_asm.
4485 - Since default sorts of type variables are now handled correctly,
4486 some datatype definitions may have to be annotated with explicit
4488 - Primrec definitions no longer require function name and type
4489 of recursive argument.
4491 Consider using isatool fixdatatype to adapt your theories and proof
4492 scripts to the new package (backup your sources first!).
4495 * HOL/record package: considerably improved implementation; now
4496 includes concrete syntax for record types, terms, updates; theorems
4497 for surjective pairing and splitting !!-bound record variables; proof
4498 support is as follows:
4500 1) standard conversions (selectors or updates applied to record
4501 constructor terms) are part of the standard simpset;
4503 2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
4504 made part of standard simpset and claset via addIffs;
4506 3) a tactic for record field splitting (record_split_tac) is part of
4507 the standard claset (addSWrapper);
4509 To get a better idea about these rules you may retrieve them via
4510 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
4511 the name of your record type.
4513 The split tactic 3) conceptually simplifies by the following rule:
4515 "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
4517 Thus any record variable that is bound by meta-all will automatically
4518 blow up into some record constructor term, consequently the
4519 simplifications of 1), 2) apply. Thus force_tac, auto_tac etc. shall
4520 solve record problems automatically.
4523 * reorganized the main HOL image: HOL/Integ and String loaded by
4524 default; theory Main includes everything;
4526 * automatic simplification of integer sums and comparisons, using cancellation;
4528 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
4530 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
4532 * many new identities for unions, intersections, set difference, etc.;
4534 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
4535 called split_if, split_split, split_sum_case and split_nat_case (to go
4536 with add/delsplits);
4538 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
4539 (?x::unit) = (); this is made part of the default simpset, which COULD
4540 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
4541 'Delsimprocs [unit_eq_proc];' as last resort); also note that
4542 unit_abs_eta_conv is added in order to counter the effect of
4543 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
4546 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
4549 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
4550 It and 'sym RS equals0D' are now in the default claset, giving automatic
4551 disjointness reasoning but breaking a few old proofs.
4553 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
4554 to 'converse' from 'inverse' (for compatibility with ZF and some
4557 * HOL/recdef can now declare non-recursive functions, with {} supplied as
4558 the well-founded relation;
4560 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
4561 Compl A. The "Compl" syntax remains available as input syntax for this
4564 * HOL/Update: new theory of function updates:
4565 f(a:=b) == %x. if x=a then b else f x
4566 may also be iterated as in f(a:=b,c:=d,...);
4568 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
4571 - new function list_update written xs[i:=v] that updates the i-th
4572 list position. May also be iterated as in xs[i:=a,j:=b,...].
4573 - new function `upt' written [i..j(] which generates the list
4574 [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
4575 bound write [i..j], which is a shorthand for [i..j+1(].
4576 - new lexicographic orderings and corresponding wellfoundedness theorems.
4579 - removed 'pred' (predecessor) function;
4580 - generalized some theorems about n-1;
4581 - many new laws about "div" and "mod";
4582 - new laws about greatest common divisors (see theory ex/Primes);
4584 * HOL/Relation: renamed the relational operator r^-1 "converse"
4585 instead of "inverse";
4587 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
4588 of the multiset ordering;
4590 * directory HOL/Real: a construction of the reals using Dedekind cuts
4591 (not included by default);
4593 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
4595 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
4596 programs, i.e. different program variables may have different types.
4598 * calling (stac rew i) now fails if "rew" has no effect on the goal
4599 [previously, this check worked only if the rewrite rule was unconditional]
4600 Now rew can involve either definitions or equalities (either == or =).
4605 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
4606 only the theorems proved on ZF.ML;
4608 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
4609 It and 'sym RS equals0D' are now in the default claset, giving automatic
4610 disjointness reasoning but breaking a few old proofs.
4612 * ZF/Update: new theory of function updates
4613 with default rewrite rule f(x:=y) ` z = if(z=x, y, f`z)
4614 may also be iterated as in f(a:=b,c:=d,...);
4616 * in let x=t in u(x), neither t nor u(x) has to be an FOL term.
4618 * calling (stac rew i) now fails if "rew" has no effect on the goal
4619 [previously, this check worked only if the rewrite rule was unconditional]
4620 Now rew can involve either definitions or equalities (either == or =).
4622 * case_tac provided for compatibility with HOL
4623 (like the old excluded_middle_tac, but with subgoals swapped)
4626 *** Internal programming interfaces ***
4628 * Pure: several new basic modules made available for general use, see
4629 also src/Pure/README;
4631 * improved the theory data mechanism to support encapsulation (data
4632 kind name replaced by private Object.kind, acting as authorization
4633 key); new type-safe user interface via functor TheoryDataFun; generic
4634 print_data function becomes basically useless;
4636 * removed global_names compatibility flag -- all theory declarations
4637 are qualified by default;
4639 * module Pure/Syntax now offers quote / antiquote translation
4640 functions (useful for Hoare logic etc. with implicit dependencies);
4641 see HOL/ex/Antiquote for an example use;
4643 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
4646 * new tactical CHANGED_GOAL for checking that a tactic modifies a
4649 * Display.print_goals function moved to Locale.print_goals;
4651 * standard print function for goals supports current_goals_markers
4652 variable for marking begin of proof, end of proof, start of goal; the
4653 default is ("", "", ""); setting current_goals_markers := ("<proof>",
4654 "</proof>", "<goal>") causes SGML like tagged proof state printing,
4659 New in Isabelle98 (January 1998)
4660 --------------------------------
4662 *** Overview of INCOMPATIBILITIES (see below for more details) ***
4664 * changed lexical syntax of terms / types: dots made part of long
4665 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
4667 * simpset (and claset) reference variable replaced by functions
4668 simpset / simpset_ref;
4670 * no longer supports theory aliases (via merge) and non-trivial
4671 implicit merge of thms' signatures;
4673 * most internal names of constants changed due to qualified names;
4675 * changed Pure/Sequence interface (see Pure/seq.ML);
4678 *** General Changes ***
4680 * hierachically structured name spaces (for consts, types, axms, thms
4681 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
4682 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
4683 isatool fixdots ensures space after dots (e.g. "%x. x"); set
4684 long_names for fully qualified output names; NOTE: ML programs
4685 (special tactics, packages etc.) referring to internal names may have
4686 to be adapted to cope with fully qualified names; in case of severe
4687 backward campatibility problems try setting 'global_names' at compile
4688 time to have enrything declared within a flat name space; one may also
4689 fine tune name declarations in theories via the 'global' and 'local'
4692 * reimplemented the implicit simpset and claset using the new anytype
4693 data filed in signatures; references simpset:simpset ref etc. are
4694 replaced by functions simpset:unit->simpset and
4695 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
4696 to patch your ML files accordingly;
4698 * HTML output now includes theory graph data for display with Java
4699 applet or isatool browser; data generated automatically via isatool
4700 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
4702 * defs may now be conditional; improved rewrite_goals_tac to handle
4703 conditional equations;
4705 * defs now admits additional type arguments, using TYPE('a) syntax;
4707 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
4708 creates a new theory node; implicit merge of thms' signatures is
4709 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
4710 transfer:theory->thm->thm in (rare) cases;
4712 * improved handling of draft signatures / theories; draft thms (and
4713 ctyps, cterms) are automatically promoted to real ones;
4715 * slightly changed interfaces for oracles: admit many per theory, named
4716 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
4718 * print_goals: optional output of const types (set show_consts and
4721 * improved output of warnings (###) and errors (***);
4723 * subgoal_tac displays a warning if the new subgoal has type variables;
4725 * removed old README and Makefiles;
4727 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
4729 * removed obsolete init_pps and init_database;
4731 * deleted the obsolete tactical STATE, which was declared by
4732 fun STATE tacfun st = tacfun st st;
4734 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
4735 (which abbreviates $HOME);
4737 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
4738 use isatool fixseq to adapt your ML programs (this works for fully
4739 qualified references to the Sequence structure only!);
4741 * use_thy no longer requires writable current directory; it always
4742 reloads .ML *and* .thy file, if either one is out of date;
4745 *** Classical Reasoner ***
4747 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
4748 tactics that use classical reasoning to simplify a subgoal without
4749 splitting it into several subgoals;
4751 * Safe_tac: like safe_tac but uses the default claset;
4756 * added simplification meta rules:
4757 (asm_)(full_)simplify: simpset -> thm -> thm;
4759 * simplifier.ML no longer part of Pure -- has to be loaded by object
4762 * added prems argument to simplification procedures;
4764 * HOL, FOL, ZF: added infix function `addsplits':
4765 instead of `<simpset> setloop (split_tac <thms>)'
4766 you can simply write `<simpset> addsplits <thms>'
4771 * TYPE('a) syntax for type reflection terms;
4773 * no longer handles consts with name "" -- declare as 'syntax' instead;
4775 * pretty printer: changed order of mixfix annotation preference (again!);
4777 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
4782 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
4783 with `addloop' of the simplifier to faciliate case splitting in premises.
4785 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
4787 * HOL/Auth: new protocol proofs including some for the Internet
4790 * HOL/Map: new theory of `maps' a la VDM;
4792 * HOL/simplifier: simplification procedures nat_cancel_sums for
4793 cancelling out common nat summands from =, <, <= (in)equalities, or
4794 differences; simplification procedures nat_cancel_factor for
4795 cancelling common factor from =, <, <= (in)equalities over natural
4796 sums; nat_cancel contains both kinds of procedures, it is installed by
4797 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
4799 * HOL/simplifier: terms of the form
4800 `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)' (or t=x)
4802 `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
4803 and those of the form
4804 `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)' (or t=x)
4806 `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
4809 Each datatype `t' now comes with a theorem `split_t_case' of the form
4811 P(t_case f1 ... fn x) =
4812 ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
4814 (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
4817 and a theorem `split_t_case_asm' of the form
4819 P(t_case f1 ... fn x) =
4820 ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
4822 (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
4824 which can be added to a simpset via `addsplits'. The existing theorems
4825 expand_list_case and expand_option_case have been renamed to
4826 split_list_case and split_option_case.
4829 - `pred n' is automatically converted to `n-1'.
4830 Users are strongly encouraged not to use `pred' any longer,
4831 because it will disappear altogether at some point.
4832 - Users are strongly encouraged to write "0 < n" rather than
4833 "n ~= 0". Theorems and proof tools have been modified towards this
4837 the function "set_of_list" has been renamed "set" (and its theorems too);
4838 the function "nth" now takes its arguments in the reverse order and
4839 has acquired the infix notation "!" as in "xs!n".
4841 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
4843 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
4844 specialist theorems (like UN1_I) are gone. Similarly for (INT x.B x);
4846 * HOL/record: extensible records with schematic structural subtyping
4847 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
4848 still lacks various theorems and concrete record syntax;
4853 * removed "axioms" and "generated by" sections;
4855 * replaced "ops" section by extended "consts" section, which is capable of
4856 handling the continuous function space "->" directly;
4859 . proves theorems immediately and stores them in the theory,
4860 . creates hierachical name space,
4861 . now uses normal mixfix annotations (instead of cinfix...),
4862 . minor changes to some names and values (for consistency),
4863 . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
4864 . separator between mutual domain defs: changed "," to "and",
4865 . improved handling of sort constraints; now they have to
4866 appear on the left-hand side of the equations only;
4868 * fixed LAM <x,y,zs>.b syntax;
4870 * added extended adm_tac to simplifier in HOLCF -- can now discharge
4871 adm (%x. P (t x)), where P is chainfinite and t continuous;
4876 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
4877 with `addloop' of the simplifier to faciliate case splitting in premises.
4879 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
4880 in HOL, they strip ALL and --> from proved theorems;
4884 New in Isabelle94-8 (May 1997)
4885 ------------------------------
4887 *** General Changes ***
4889 * new utilities to build / run / maintain Isabelle etc. (in parts
4890 still somewhat experimental); old Makefiles etc. still functional;
4892 * new 'Isabelle System Manual';
4894 * INSTALL text, together with ./configure and ./build scripts;
4896 * reimplemented type inference for greater efficiency, better error
4897 messages and clean internal interface;
4899 * prlim command for dealing with lots of subgoals (an easier way of
4900 setting goals_limit);
4905 * supports alternative (named) syntax tables (parser and pretty
4906 printer); internal interface is provided by add_modesyntax(_i);
4908 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
4909 be used in conjunction with the Isabelle symbol font; uses the
4910 "symbols" syntax table;
4912 * added token_translation interface (may translate name tokens in
4913 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
4914 the current print_mode); IMPORTANT: user print translation functions
4915 are responsible for marking newly introduced bounds
4916 (Syntax.mark_boundT);
4918 * token translations for modes "xterm" and "xterm_color" that display
4919 names in bold, underline etc. or colors (which requires a color
4922 * infixes may now be declared with names independent of their syntax;
4924 * added typed_print_translation (like print_translation, but may
4925 access type of constant);
4928 *** Classical Reasoner ***
4930 Blast_tac: a new tactic! It is often more powerful than fast_tac, but has
4931 some limitations. Blast_tac...
4932 + ignores addss, addbefore, addafter; this restriction is intrinsic
4933 + ignores elimination rules that don't have the correct format
4934 (the conclusion MUST be a formula variable)
4935 + ignores types, which can make HOL proofs fail
4936 + rules must not require higher-order unification, e.g. apply_type in ZF
4937 [message "Function Var's argument not a bound variable" relates to this]
4938 + its proof strategy is more general but can actually be slower
4940 * substitution with equality assumptions no longer permutes other
4943 * minor changes in semantics of addafter (now called addaltern); renamed
4944 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
4945 (and access functions for it);
4947 * improved combination of classical reasoner and simplifier:
4948 + functions for handling clasimpsets
4949 + improvement of addss: now the simplifier is called _after_ the
4951 + safe variant of addss called addSss: uses safe simplifications
4952 _during_ the safe steps. It is more complete as it allows multiple
4953 instantiations of unknowns (e.g. with slow_tac).
4957 * added interface for simplification procedures (functions that
4958 produce *proven* rewrite rules on the fly, depending on current
4961 * ordering on terms as parameter (used for ordered rewriting);
4963 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
4965 * the solver is now split into a safe and an unsafe part.
4966 This should be invisible for the normal user, except that the
4967 functions setsolver and addsolver have been renamed to setSolver and
4968 addSolver; added safe_asm_full_simp_tac;
4973 * a generic induction tactic `induct_tac' which works for all datatypes and
4974 also for type `nat';
4976 * a generic case distinction tactic `exhaust_tac' which works for all
4977 datatypes and also for type `nat';
4979 * each datatype comes with a function `size';
4981 * patterns in case expressions allow tuple patterns as arguments to
4982 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
4984 * primrec now also works with type nat;
4986 * recdef: a new declaration form, allows general recursive functions to be
4987 defined in theory files. See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
4989 * the constant for negation has been renamed from "not" to "Not" to
4990 harmonize with FOL, ZF, LK, etc.;
4992 * HOL/ex/LFilter theory of a corecursive "filter" functional for
4995 * HOL/Modelcheck demonstrates invocation of model checker oracle;
4997 * HOL/ex/Ring.thy declares cring_simp, which solves equational
4998 problems in commutative rings, using axiomatic type classes for + and *;
5000 * more examples in HOL/MiniML and HOL/Auth;
5002 * more default rewrite rules for quantifiers, union/intersection;
5004 * a new constant `arbitrary == @x.False';
5006 * HOLCF/IOA replaces old HOL/IOA;
5008 * HOLCF changes: derived all rules and arities
5009 + axiomatic type classes instead of classes
5010 + typedef instead of faking type definitions
5011 + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
5012 + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
5013 + eliminated the types void, one, tr
5014 + use unit lift and bool lift (with translations) instead of one and tr
5015 + eliminated blift from Lift3.thy (use Def instead of blift)
5016 all eliminated rules are derived as theorems --> no visible changes ;
5021 * ZF now has Fast_tac, Simp_tac and Auto_tac. Union_iff is a now a default
5022 rewrite rule; this may affect some proofs. eq_cs is gone but can be put back
5023 as ZF_cs addSIs [equalityI];
5027 New in Isabelle94-7 (November 96)
5028 ---------------------------------
5030 * allowing negative levels (as offsets) in prlev and choplev;
5032 * super-linear speedup for large simplifications;
5034 * FOL, ZF and HOL now use miniscoping: rewriting pushes
5035 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
5036 FAIL); can suppress it using the command Delsimps (ex_simps @
5037 all_simps); De Morgan laws are also now included, by default;
5039 * improved printing of ==> : ~:
5041 * new object-logic "Sequents" adds linear logic, while replacing LK
5042 and Modal (thanks to Sara Kalvala);
5044 * HOL/Auth: correctness proofs for authentication protocols;
5046 * HOL: new auto_tac combines rewriting and classical reasoning (many
5047 examples on HOL/Auth);
5049 * HOL: new command AddIffs for declaring theorems of the form P=Q to
5050 the rewriter and classical reasoner simultaneously;
5052 * function uresult no longer returns theorems in "standard" format;
5053 regain previous version by: val uresult = standard o uresult;
5060 * oracles -- these establish an interface between Isabelle and trusted
5061 external reasoners, which may deliver results as theorems;
5063 * proof objects (in particular record all uses of oracles);
5065 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
5067 * "constdefs" section in theory files;
5069 * "primrec" section (HOL) no longer requires names;
5071 * internal type "tactic" now simply "thm -> thm Sequence.seq";
5078 * reduced space requirements;
5080 * automatic HTML generation from theories;
5082 * theory files no longer require "..." (quotes) around most types;
5084 * new examples, including two proofs of the Church-Rosser theorem;
5086 * non-curried (1994) version of HOL is no longer distributed;
5093 * greatly reduced space requirements;
5095 * theory files (.thy) no longer require \...\ escapes at line breaks;
5097 * searchable theorem database (see the section "Retrieving theorems" on
5098 page 8 of the Reference Manual);
5100 * new examples, including Grabczewski's monumental case study of the
5103 * The previous version of HOL renamed to Old_HOL;
5105 * The new version of HOL (previously called CHOL) uses a curried syntax
5106 for functions. Application looks like f a b instead of f(a,b);
5108 * Mutually recursive inductive definitions finally work in HOL;
5110 * In ZF, pattern-matching on tuples is now available in all abstractions and
5111 translates to the operator "split";
5118 * new infix operator, addss, allowing the classical reasoner to
5119 perform simplification at each step of its search. Example:
5120 fast_tac (cs addss ss)
5122 * a new logic, CHOL, the same as HOL, but with a curried syntax
5123 for functions. Application looks like f a b instead of f(a,b). Also pairs
5124 look like (a,b) instead of <a,b>;
5126 * PLEASE NOTE: CHOL will eventually replace HOL!
5128 * In CHOL, pattern-matching on tuples is now available in all abstractions.
5129 It translates to the operator "split". A new theory of integers is available;
5131 * In ZF, integer numerals now denote two's-complement binary integers.
5132 Arithmetic operations can be performed by rewriting. See ZF/ex/Bin.ML;
5134 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
5135 of the Axiom of Choice;
5142 * Significantly faster resolution;
5144 * the different sections in a .thy file can now be mixed and repeated
5147 * Database of theorems for FOL, HOL and ZF. New
5148 commands including qed, qed_goal and bind_thm store theorems in the database.
5150 * Simple database queries: return a named theorem (get_thm) or all theorems of
5151 a given theory (thms_of), or find out what theory a theorem was proved in
5154 * Bugs fixed in the inductive definition and datatype packages;
5156 * The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
5157 and HOL_dup_cs obsolete;
5159 * Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
5162 * Simpler definition of function space in ZF;
5164 * new results about cardinal and ordinal arithmetic in ZF;
5166 * 'subtype' facility in HOL for introducing new types as subsets of existing
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