1 Isabelle NEWS -- history user-relevant changes
2 ==============================================
6 * Class semiring_div now requires no_zero_divisors and proof of div_mult_mult1;
7 theorems div_mult_mult1, div_mult_mult2, div_mult_mult1_if, div_mult_mult1 and
8 div_mult_mult2 have been generalized to class semiring_div, subsuming former
9 theorems zdiv_zmult_zmult1, zdiv_zmult_zmult1_if, zdiv_zmult_zmult1 and zdiv_zmult_zmult2.
10 div_mult_mult1 is now [simp] by default. INCOMPATIBILITY.
12 New in Isabelle2009 (April 2009)
13 --------------------------------
17 * Simplified main Isabelle executables, with less surprises on
18 case-insensitive file-systems (such as Mac OS).
20 - The main Isabelle tool wrapper is now called "isabelle" instead of
23 - The former "isabelle" alias for "isabelle-process" has been
24 removed (should rarely occur to regular users).
26 - The former "isabelle-interface" and its alias "Isabelle" have been
27 removed (interfaces are now regular Isabelle tools).
29 Within scripts and make files, the Isabelle environment variables
30 ISABELLE_TOOL and ISABELLE_PROCESS replace old ISATOOL and ISABELLE,
31 respectively. (The latter are still available as legacy feature.)
33 The old isabelle-interface wrapper could react in confusing ways if
34 the interface was uninstalled or changed otherwise. Individual
35 interface tool configuration is now more explicit, see also the
36 Isabelle system manual. In particular, Proof General is now available
39 INCOMPATIBILITY, need to adapt derivative scripts. Users may need to
40 purge installed copies of Isabelle executables and re-run "isabelle
41 install -p ...", or use symlinks.
43 * The default for ISABELLE_HOME_USER is now ~/.isabelle instead of the
44 old ~/isabelle, which was slightly non-standard and apt to cause
45 surprises on case-insensitive file-systems (such as Mac OS).
47 INCOMPATIBILITY, need to move existing ~/isabelle/etc,
48 ~/isabelle/heaps, ~/isabelle/browser_info to the new place. Special
49 care is required when using older releases of Isabelle. Note that
50 ISABELLE_HOME_USER can be changed in Isabelle/etc/settings of any
51 Isabelle distribution, in order to use the new ~/.isabelle uniformly.
53 * Proofs of fully specified statements are run in parallel on
54 multi-core systems. A speedup factor of 2.5 to 3.2 can be expected on
55 a regular 4-core machine, if the initial heap space is made reasonably
56 large (cf. Poly/ML option -H). (Requires Poly/ML 5.2.1 or later.)
58 * The main reference manuals ("isar-ref", "implementation", and
59 "system") have been updated and extended. Formally checked references
60 as hyperlinks are now available uniformly.
65 * Complete re-implementation of locales. INCOMPATIBILITY in several
66 respects. The most important changes are listed below. See the
67 Tutorial on Locales ("locales" manual) for details.
69 - In locale expressions, instantiation replaces renaming. Parameters
70 must be declared in a for clause. To aid compatibility with previous
71 parameter inheritance, in locale declarations, parameters that are not
72 'touched' (instantiation position "_" or omitted) are implicitly added
73 with their syntax at the beginning of the for clause.
75 - Syntax from abbreviations and definitions in locales is available in
76 locale expressions and context elements. The latter is particularly
77 useful in locale declarations.
79 - More flexible mechanisms to qualify names generated by locale
80 expressions. Qualifiers (prefixes) may be specified in locale
81 expressions, and can be marked as mandatory (syntax: "name!:") or
82 optional (syntax "name?:"). The default depends for plain "name:"
83 depends on the situation where a locale expression is used: in
84 commands 'locale' and 'sublocale' prefixes are optional, in
85 'interpretation' and 'interpret' prefixes are mandatory. The old
86 implicit qualifiers derived from the parameter names of a locale are
89 - Command "sublocale l < e" replaces "interpretation l < e". The
90 instantiation clause in "interpretation" and "interpret" (square
91 brackets) is no longer available. Use locale expressions.
93 - When converting proof scripts, mandatory qualifiers in
94 'interpretation' and 'interpret' should be retained by default, even
95 if this is an INCOMPATIBILITY compared to former behavior. In the
96 worst case, use the "name?:" form for non-mandatory ones. Qualifiers
97 in locale expressions range over a single locale instance only.
99 - Dropped locale element "includes". This is a major INCOMPATIBILITY.
100 In existing theorem specifications replace the includes element by the
101 respective context elements of the included locale, omitting those
102 that are already present in the theorem specification. Multiple
103 assume elements of a locale should be replaced by a single one
104 involving the locale predicate. In the proof body, declarations (most
105 notably theorems) may be regained by interpreting the respective
106 locales in the proof context as required (command "interpret").
108 If using "includes" in replacement of a target solely because the
109 parameter types in the theorem are not as general as in the target,
110 consider declaring a new locale with additional type constraints on
111 the parameters (context element "constrains").
113 - Discontinued "locale (open)". INCOMPATIBILITY.
115 - Locale interpretation commands no longer attempt to simplify goal.
116 INCOMPATIBILITY: in rare situations the generated goal differs. Use
117 methods intro_locales and unfold_locales to clarify.
119 - Locale interpretation commands no longer accept interpretation
120 attributes. INCOMPATIBILITY.
122 * Class declaration: so-called "base sort" must not be given in import
123 list any longer, but is inferred from the specification. Particularly
130 class foo = type + ...
132 * Class target: global versions of theorems stemming do not carry a
133 parameter prefix any longer. INCOMPATIBILITY.
135 * Class 'instance' command no longer accepts attached definitions.
136 INCOMPATIBILITY, use proper 'instantiation' target instead.
138 * Recovered hiding of consts, which was accidentally broken in
139 Isabelle2007. Potential INCOMPATIBILITY, ``hide const c'' really
140 makes c inaccessible; consider using ``hide (open) const c'' instead.
142 * Slightly more coherent Pure syntax, with updated documentation in
143 isar-ref manual. Removed locales meta_term_syntax and
144 meta_conjunction_syntax: TERM and &&& (formerly &&) are now permanent,
145 INCOMPATIBILITY in rare situations. Note that &&& should not be used
146 directly in regular applications.
148 * There is a new syntactic category "float_const" for signed decimal
149 fractions (e.g. 123.45 or -123.45).
151 * Removed exotic 'token_translation' command. INCOMPATIBILITY, use ML
152 interface with 'setup' command instead.
154 * Command 'local_setup' is similar to 'setup', but operates on a local
157 * The 'axiomatization' command now only works within a global theory
158 context. INCOMPATIBILITY.
160 * Goal-directed proof now enforces strict proof irrelevance wrt. sort
161 hypotheses. Sorts required in the course of reasoning need to be
162 covered by the constraints in the initial statement, completed by the
163 type instance information of the background theory. Non-trivial sort
164 hypotheses, which rarely occur in practice, may be specified via
165 vacuous propositions of the form SORT_CONSTRAINT('a::c). For example:
167 lemma assumes "SORT_CONSTRAINT('a::empty)" shows False ...
169 The result contains an implicit sort hypotheses as before --
170 SORT_CONSTRAINT premises are eliminated as part of the canonical rule
173 * Generalized Isar history, with support for linear undo, direct state
176 * Changed defaults for unify configuration options:
178 unify_trace_bound = 50 (formerly 25)
179 unify_search_bound = 60 (formerly 30)
181 * Different bookkeeping for code equations (INCOMPATIBILITY):
183 a) On theory merge, the last set of code equations for a particular
184 constant is taken (in accordance with the policy applied by other
185 parts of the code generator framework).
187 b) Code equations stemming from explicit declarations (e.g. code
188 attribute) gain priority over default code equations stemming
189 from definition, primrec, fun etc.
191 * Keyword 'code_exception' now named 'code_abort'. INCOMPATIBILITY.
193 * Unified theorem tables for both code code generators. Thus [code
194 func] has disappeared and only [code] remains. INCOMPATIBILITY.
196 * Command 'find_consts' searches for constants based on type and name
199 find_consts "_ => bool"
201 By default, matching is against subtypes, but it may be restricted to
202 the whole type. Searching by name is possible. Multiple queries are
203 conjunctive and queries may be negated by prefixing them with a
206 find_consts strict: "_ => bool" name: "Int" -"int => int"
208 * New 'find_theorems' criterion "solves" matches theorems that
209 directly solve the current goal (modulo higher-order unification).
211 * Auto solve feature for main theorem statements: whenever a new goal
212 is stated, "find_theorems solves" is called; any theorems that could
213 solve the lemma directly are listed as part of the goal state.
214 Cf. associated options in Proof General Isabelle settings menu,
215 enabled by default, with reasonable timeout for pathological cases of
216 higher-order unification.
219 *** Document preparation ***
221 * Antiquotation @{lemma} now imitates a regular terminal proof,
222 demanding keyword 'by' and supporting the full method expression
223 syntax just like the Isar command 'by'.
228 * Integrated main parts of former image HOL-Complex with HOL. Entry
229 points Main and Complex_Main remain as before.
231 * Logic image HOL-Plain provides a minimal HOL with the most important
232 tools available (inductive, datatype, primrec, ...). This facilitates
233 experimentation and tool development. Note that user applications
234 (and library theories) should never refer to anything below theory
237 * Logic image HOL-Main stops at theory Main, and thus facilitates
238 experimentation due to shorter build times.
240 * Logic image HOL-NSA contains theories of nonstandard analysis which
241 were previously part of former HOL-Complex. Entry point Hyperreal
242 remains valid, but theories formerly using Complex_Main should now use
243 new entry point Hypercomplex.
245 * Generic ATP manager for Sledgehammer, based on ML threads instead of
246 Posix processes. Avoids potentially expensive forking of the ML
247 process. New thread-based implementation also works on non-Unix
248 platforms (Cygwin). Provers are no longer hardwired, but defined
249 within the theory via plain ML wrapper functions. Basic Sledgehammer
250 commands are covered in the isar-ref manual.
252 * Wrapper scripts for remote SystemOnTPTP service allows to use
253 sledgehammer without local ATP installation (Vampire etc.). Other
254 provers may be included via suitable ML wrappers, see also
255 src/HOL/ATP_Linkup.thy.
257 * ATP selection (E/Vampire/Spass) is now via Proof General's settings
260 * The metis method no longer fails because the theorem is too trivial
261 (contains the empty clause).
263 * The metis method now fails in the usual manner, rather than raising
264 an exception, if it determines that it cannot prove the theorem.
266 * Method "coherent" implements a prover for coherent logic (see also
267 src/Tools/coherent.ML).
269 * Constants "undefined" and "default" replace "arbitrary". Usually
270 "undefined" is the right choice to replace "arbitrary", though
271 logically there is no difference. INCOMPATIBILITY.
273 * Command "value" now integrates different evaluation mechanisms. The
274 result of the first successful evaluation mechanism is printed. In
275 square brackets a particular named evaluation mechanisms may be
276 specified (currently, [SML], [code] or [nbe]). See further
277 src/HOL/ex/Eval_Examples.thy.
279 * Normalization by evaluation now allows non-leftlinear equations.
280 Declare with attribute [code nbe].
282 * Methods "case_tac" and "induct_tac" now refer to the very same rules
283 as the structured Isar versions "cases" and "induct", cf. the
284 corresponding "cases" and "induct" attributes. Mutual induction rules
285 are now presented as a list of individual projections
286 (e.g. foo_bar.inducts for types foo and bar); the old format with
287 explicit HOL conjunction is no longer supported. INCOMPATIBILITY, in
288 rare situations a different rule is selected --- notably nested tuple
289 elimination instead of former prod.exhaust: use explicit (case_tac t
290 rule: prod.exhaust) here.
292 * Attributes "cases", "induct", "coinduct" support "del" option.
294 * Removed fact "case_split_thm", which duplicates "case_split".
296 * The option datatype has been moved to a new theory Option. Renamed
297 option_map to Option.map, and o2s to Option.set, INCOMPATIBILITY.
299 * New predicate "strict_mono" classifies strict functions on partial
300 orders. With strict functions on linear orders, reasoning about
301 (in)equalities is facilitated by theorems "strict_mono_eq",
302 "strict_mono_less_eq" and "strict_mono_less".
304 * Some set operations are now proper qualified constants with
305 authentic syntax. INCOMPATIBILITY:
316 * Class complete_lattice with operations Inf, Sup, INFI, SUPR now in
319 * Auxiliary class "itself" has disappeared -- classes without any
320 parameter are treated as expected by the 'class' command.
322 * Leibnitz's Series for Pi and the arcus tangens and logarithm series.
324 * Common decision procedures (Cooper, MIR, Ferrack, Approximation,
325 Dense_Linear_Order) are now in directory HOL/Decision_Procs.
327 * Theory src/HOL/Decision_Procs/Approximation provides the new proof
328 method "approximation". It proves formulas on real values by using
329 interval arithmetic. In the formulas are also the transcendental
330 functions sin, cos, tan, atan, ln, exp and the constant pi are
331 allowed. For examples see
332 src/HOL/Descision_Procs/ex/Approximation_Ex.thy.
334 * Theory "Reflection" now resides in HOL/Library.
336 * Entry point to Word library now simply named "Word".
339 * Made source layout more coherent with logical distribution
342 src/HOL/Library/RType.thy ~> src/HOL/Typerep.thy
343 src/HOL/Library/Code_Message.thy ~> src/HOL/
344 src/HOL/Library/GCD.thy ~> src/HOL/
345 src/HOL/Library/Order_Relation.thy ~> src/HOL/
346 src/HOL/Library/Parity.thy ~> src/HOL/
347 src/HOL/Library/Univ_Poly.thy ~> src/HOL/
348 src/HOL/Real/ContNotDenum.thy ~> src/HOL/Library/
349 src/HOL/Real/Lubs.thy ~> src/HOL/
350 src/HOL/Real/PReal.thy ~> src/HOL/
351 src/HOL/Real/Rational.thy ~> src/HOL/
352 src/HOL/Real/RComplete.thy ~> src/HOL/
353 src/HOL/Real/RealDef.thy ~> src/HOL/
354 src/HOL/Real/RealPow.thy ~> src/HOL/
355 src/HOL/Real/Real.thy ~> src/HOL/
356 src/HOL/Complex/Complex_Main.thy ~> src/HOL/
357 src/HOL/Complex/Complex.thy ~> src/HOL/
358 src/HOL/Complex/FrechetDeriv.thy ~> src/HOL/Library/
359 src/HOL/Complex/Fundamental_Theorem_Algebra.thy ~> src/HOL/Library/
360 src/HOL/Hyperreal/Deriv.thy ~> src/HOL/
361 src/HOL/Hyperreal/Fact.thy ~> src/HOL/
362 src/HOL/Hyperreal/Integration.thy ~> src/HOL/
363 src/HOL/Hyperreal/Lim.thy ~> src/HOL/
364 src/HOL/Hyperreal/Ln.thy ~> src/HOL/
365 src/HOL/Hyperreal/Log.thy ~> src/HOL/
366 src/HOL/Hyperreal/MacLaurin.thy ~> src/HOL/
367 src/HOL/Hyperreal/NthRoot.thy ~> src/HOL/
368 src/HOL/Hyperreal/Series.thy ~> src/HOL/
369 src/HOL/Hyperreal/SEQ.thy ~> src/HOL/
370 src/HOL/Hyperreal/Taylor.thy ~> src/HOL/
371 src/HOL/Hyperreal/Transcendental.thy ~> src/HOL/
372 src/HOL/Real/Float ~> src/HOL/Library/
373 src/HOL/Real/HahnBanach ~> src/HOL/HahnBanach
374 src/HOL/Real/RealVector.thy ~> src/HOL/
376 src/HOL/arith_data.ML ~> src/HOL/Tools
377 src/HOL/hologic.ML ~> src/HOL/Tools
378 src/HOL/simpdata.ML ~> src/HOL/Tools
379 src/HOL/int_arith1.ML ~> src/HOL/Tools/int_arith.ML
380 src/HOL/int_factor_simprocs.ML ~> src/HOL/Tools
381 src/HOL/nat_simprocs.ML ~> src/HOL/Tools
382 src/HOL/Real/float_arith.ML ~> src/HOL/Tools
383 src/HOL/Real/float_syntax.ML ~> src/HOL/Tools
384 src/HOL/Real/rat_arith.ML ~> src/HOL/Tools
385 src/HOL/Real/real_arith.ML ~> src/HOL/Tools
387 src/HOL/Library/Array.thy ~> src/HOL/Imperative_HOL
388 src/HOL/Library/Heap_Monad.thy ~> src/HOL/Imperative_HOL
389 src/HOL/Library/Heap.thy ~> src/HOL/Imperative_HOL
390 src/HOL/Library/Imperative_HOL.thy ~> src/HOL/Imperative_HOL
391 src/HOL/Library/Ref.thy ~> src/HOL/Imperative_HOL
392 src/HOL/Library/Relational.thy ~> src/HOL/Imperative_HOL
394 * If methods "eval" and "evaluation" encounter a structured proof
395 state with !!/==>, only the conclusion is evaluated to True (if
396 possible), avoiding strange error messages.
398 * Method "sizechange" automates termination proofs using (a
399 modification of) the size-change principle. Requires SAT solver. See
400 src/HOL/ex/Termination.thy for examples.
402 * Simplifier: simproc for let expressions now unfolds if bound
403 variable occurs at most once in let expression body. INCOMPATIBILITY.
405 * Method "arith": Linear arithmetic now ignores all inequalities when
406 fast_arith_neq_limit is exceeded, instead of giving up entirely.
408 * New attribute "arith" for facts that should always be used
409 automatically by arithmetic. It is intended to be used locally in
412 assumes [arith]: "x > 0"
414 Global usage is discouraged because of possible performance impact.
416 * New classes "top" and "bot" with corresponding operations "top" and
417 "bot" in theory Orderings; instantiation of class "complete_lattice"
418 requires instantiation of classes "top" and "bot". INCOMPATIBILITY.
420 * Changed definition lemma "less_fun_def" in order to provide an
421 instance for preorders on functions; use lemma "less_le" instead.
424 * Theory Orderings: class "wellorder" moved here, with explicit
425 induction rule "less_induct" as assumption. For instantiation of
426 "wellorder" by means of predicate "wf", use rule wf_wellorderI.
429 * Theory Orderings: added class "preorder" as superclass of "order".
430 INCOMPATIBILITY: Instantiation proofs for order, linorder
431 etc. slightly changed. Some theorems named order_class.* now named
434 * Theory Relation: renamed "refl" to "refl_on", "reflexive" to "refl,
437 * Theory Finite_Set: added a new fold combinator of type
439 ('a => 'b => 'b) => 'b => 'a set => 'b
441 Occasionally this is more convenient than the old fold combinator
442 which is now defined in terms of the new one and renamed to
445 * Theories Ring_and_Field and OrderedGroup: The lemmas "group_simps"
446 and "ring_simps" have been replaced by "algebra_simps" (which can be
447 extended with further lemmas!). At the moment both still exist but
448 the former will disappear at some point.
450 * Theory Power: Lemma power_Suc is now declared as a simp rule in
451 class recpower. Type-specific simp rules for various recpower types
452 have been removed. INCOMPATIBILITY, rename old lemmas as follows:
454 rat_power_0 -> power_0
455 rat_power_Suc -> power_Suc
457 realpow_Suc -> power_Suc
458 complexpow_0 -> power_0
459 complexpow_Suc -> power_Suc
460 power_poly_0 -> power_0
461 power_poly_Suc -> power_Suc
463 * Theories Ring_and_Field and Divides: Definition of "op dvd" has been
464 moved to separate class dvd in Ring_and_Field; a couple of lemmas on
465 dvd has been generalized to class comm_semiring_1. Likewise a bunch
466 of lemmas from Divides has been generalized from nat to class
467 semiring_div. INCOMPATIBILITY. This involves the following theorem
468 renames resulting from duplicate elimination:
470 dvd_def_mod ~> dvd_eq_mod_eq_0
471 zero_dvd_iff ~> dvd_0_left_iff
473 DIVISION_BY_ZERO_DIV ~> div_by_0
474 DIVISION_BY_ZERO_MOD ~> mod_by_0
475 mult_div ~> div_mult_self2_is_id
476 mult_mod ~> mod_mult_self2_is_0
478 * Theory IntDiv: removed many lemmas that are instances of class-based
479 generalizations (from Divides and Ring_and_Field). INCOMPATIBILITY,
480 rename old lemmas as follows:
482 dvd_diff -> nat_dvd_diff
483 dvd_zminus_iff -> dvd_minus_iff
484 mod_add1_eq -> mod_add_eq
485 mod_mult1_eq -> mod_mult_right_eq
486 mod_mult1_eq' -> mod_mult_left_eq
487 mod_mult_distrib_mod -> mod_mult_eq
488 nat_mod_add_left_eq -> mod_add_left_eq
489 nat_mod_add_right_eq -> mod_add_right_eq
490 nat_mod_div_trivial -> mod_div_trivial
491 nat_mod_mod_trivial -> mod_mod_trivial
492 zdiv_zadd_self1 -> div_add_self1
493 zdiv_zadd_self2 -> div_add_self2
494 zdiv_zmult_self1 -> div_mult_self2_is_id
495 zdiv_zmult_self2 -> div_mult_self1_is_id
496 zdvd_triv_left -> dvd_triv_left
497 zdvd_triv_right -> dvd_triv_right
498 zdvd_zmult_cancel_disj -> dvd_mult_cancel_left
499 zmod_eq0_zdvd_iff -> dvd_eq_mod_eq_0[symmetric]
500 zmod_zadd_left_eq -> mod_add_left_eq
501 zmod_zadd_right_eq -> mod_add_right_eq
502 zmod_zadd_self1 -> mod_add_self1
503 zmod_zadd_self2 -> mod_add_self2
504 zmod_zadd1_eq -> mod_add_eq
505 zmod_zdiff1_eq -> mod_diff_eq
506 zmod_zdvd_zmod -> mod_mod_cancel
507 zmod_zmod_cancel -> mod_mod_cancel
508 zmod_zmult_self1 -> mod_mult_self2_is_0
509 zmod_zmult_self2 -> mod_mult_self1_is_0
512 zdvd_abs1 -> abs_dvd_iff
513 zdvd_abs2 -> dvd_abs_iff
514 zdvd_refl -> dvd_refl
515 zdvd_trans -> dvd_trans
517 zdvd_zdiff -> dvd_diff
518 zdvd_zminus_iff -> dvd_minus_iff
519 zdvd_zminus2_iff -> minus_dvd_iff
520 zdvd_zmultD -> dvd_mult_right
521 zdvd_zmultD2 -> dvd_mult_left
522 zdvd_zmult_mono -> mult_dvd_mono
523 zdvd_0_right -> dvd_0_right
524 zdvd_0_left -> dvd_0_left_iff
525 zdvd_1_left -> one_dvd
526 zminus_dvd_iff -> minus_dvd_iff
528 * Theory Rational: 'Fract k 0' now equals '0'. INCOMPATIBILITY.
530 * The real numbers offer decimal input syntax: 12.34 is translated
531 into 1234/10^2. This translation is not reversed upon output.
533 * Theory Library/Polynomial defines an abstract type 'a poly of
534 univariate polynomials with coefficients of type 'a. In addition to
535 the standard ring operations, it also supports div and mod. Code
536 generation is also supported, using list-style constructors.
538 * Theory Library/Inner_Product defines a class of real_inner for real
539 inner product spaces, with an overloaded operation inner :: 'a => 'a
540 => real. Class real_inner is a subclass of real_normed_vector from
543 * Theory Library/Product_Vector provides instances for the product
544 type 'a * 'b of several classes from RealVector and Inner_Product.
545 Definitions of addition, subtraction, scalar multiplication, norms,
546 and inner products are included.
548 * Theory Library/Bit defines the field "bit" of integers modulo 2. In
549 addition to the field operations, numerals and case syntax are also
552 * Theory Library/Diagonalize provides constructive version of Cantor's
553 first diagonalization argument.
555 * Theory Library/GCD: Curried operations gcd, lcm (for nat) and zgcd,
556 zlcm (for int); carried together from various gcd/lcm developements in
557 the HOL Distribution. Constants zgcd and zlcm replace former igcd and
558 ilcm; corresponding theorems renamed accordingly. INCOMPATIBILITY,
559 may recover tupled syntax as follows:
561 hide (open) const gcd
562 abbreviation gcd where
563 "gcd == (%(a, b). GCD.gcd a b)"
565 GCD.gcd ("gcd '(_, _')")
567 The same works for lcm, zgcd, zlcm.
569 * Theory Library/Nat_Infinity: added addition, numeral syntax and more
570 instantiations for algebraic structures. Removed some duplicate
571 theorems. Changes in simp rules. INCOMPATIBILITY.
573 * ML antiquotation @{code} takes a constant as argument and generates
574 corresponding code in background and inserts name of the corresponding
575 resulting ML value/function/datatype constructor binding in place.
576 All occurrences of @{code} with a single ML block are generated
577 simultaneously. Provides a generic and safe interface for
578 instrumentalizing code generation. See
579 src/HOL/Decision_Procs/Ferrack.thy for a more ambitious application.
580 In future you ought to refrain from ad-hoc compiling generated SML
581 code on the ML toplevel. Note that (for technical reasons) @{code}
582 cannot refer to constants for which user-defined serializations are
583 set. Refer to the corresponding ML counterpart directly in that
586 * Command 'rep_datatype': instead of theorem names the command now
587 takes a list of terms denoting the constructors of the type to be
588 represented as datatype. The characteristic theorems have to be
589 proven. INCOMPATIBILITY. Also observe that the following theorems
590 have disappeared in favour of existing ones:
592 unit_induct ~> unit.induct
593 prod_induct ~> prod.induct
594 sum_induct ~> sum.induct
595 Suc_Suc_eq ~> nat.inject
596 Suc_not_Zero Zero_not_Suc ~> nat.distinct
601 * New locales for orders and lattices where the equivalence relation
602 is not restricted to equality. INCOMPATIBILITY: all order and lattice
603 locales use a record structure with field eq for the equivalence.
605 * New theory of factorial domains.
607 * Units_l_inv and Units_r_inv are now simp rules by default.
608 INCOMPATIBILITY. Simplifier proof that require deletion of l_inv
609 and/or r_inv will now also require deletion of these lemmas.
611 * Renamed the following theorems, INCOMPATIBILITY:
615 least_carrier ~> least_closed
616 greatest_carrier ~> greatest_closed
617 greatest_Lower_above ~> greatest_Lower_below
618 one_zero ~> carrier_one_zero
619 one_not_zero ~> carrier_one_not_zero (collision with assumption)
624 * Nominal datatypes can now contain type-variables.
626 * Commands 'nominal_inductive' and 'equivariance' work with local
629 * Nominal primrec can now works with local theory targets and its
630 specification syntax now conforms to the general format as seen in
633 * Method "perm_simp" honours the standard simplifier attributes
634 (no_asm), (no_asm_use) etc.
636 * The new predicate #* is defined like freshness, except that on the
637 left hand side can be a set or list of atoms.
639 * Experimental command 'nominal_inductive2' derives strong induction
640 principles for inductive definitions. In contrast to
641 'nominal_inductive', which can only deal with a fixed number of
642 binders, it can deal with arbitrary expressions standing for sets of
643 atoms to be avoided. The only inductive definition we have at the
644 moment that needs this generalisation is the typing rule for Lets in
647 Gamma |- t1 : T1 (x,close Gamma T1)::Gamma |- t2 : T2 x#Gamma
648 -----------------------------------------------------------------
649 Gamma |- Let x be t1 in t2 : T2
651 In this rule one wants to avoid all the binders that are introduced by
652 "close Gamma T1". We are looking for other examples where this
653 feature might be useful. Please let us know.
658 * Reimplemented the simplification procedure for proving continuity
659 subgoals. The new simproc is extensible; users can declare additional
660 continuity introduction rules with the attribute [cont2cont].
662 * The continuity simproc now uses a different introduction rule for
663 solving continuity subgoals on terms with lambda abstractions. In
664 some rare cases the new simproc may fail to solve subgoals that the
665 old one could solve, and "simp add: cont2cont_LAM" may be necessary.
666 Potential INCOMPATIBILITY.
668 * Command 'fixrec': specification syntax now conforms to the general
669 format as seen in 'inductive' etc. See src/HOLCF/ex/Fixrec_ex.thy for
670 examples. INCOMPATIBILITY.
675 * Proof of Zorn's Lemma for partial orders.
680 * Multithreading for Poly/ML 5.1/5.2 is no longer supported, only for
681 Poly/ML 5.2.1 or later. Important note: the TimeLimit facility
682 depends on multithreading, so timouts will not work before Poly/ML
685 * High-level support for concurrent ML programming, see
686 src/Pure/Cuncurrent. The data-oriented model of "future values" is
687 particularly convenient to organize independent functional
688 computations. The concept of "synchronized variables" provides a
689 higher-order interface for components with shared state, avoiding the
690 delicate details of mutexes and condition variables. (Requires
691 Poly/ML 5.2.1 or later.)
693 * ML bindings produced via Isar commands are stored within the Isar
694 context (theory or proof). Consequently, commands like 'use' and 'ML'
695 become thread-safe and work with undo as expected (concerning
696 top-level bindings, not side-effects on global references).
697 INCOMPATIBILITY, need to provide proper Isar context when invoking the
698 compiler at runtime; really global bindings need to be given outside a
699 theory. (Requires Poly/ML 5.2 or later.)
701 * Command 'ML_prf' is analogous to 'ML' but works within a proof
702 context. Top-level ML bindings are stored within the proof context in
703 a purely sequential fashion, disregarding the nested proof structure.
704 ML bindings introduced by 'ML_prf' are discarded at the end of the
705 proof. (Requires Poly/ML 5.2 or later.)
707 * Simplified ML attribute and method setup, cf. functions Attrib.setup
708 and Method.setup, as well as Isar commands 'attribute_setup' and
709 'method_setup'. INCOMPATIBILITY for 'method_setup', need to simplify
710 existing code accordingly, or use plain 'setup' together with old
713 * Simplified ML oracle interface Thm.add_oracle promotes 'a -> cterm
714 to 'a -> thm, while results are always tagged with an authentic oracle
715 name. The Isar command 'oracle' is now polymorphic, no argument type
716 is specified. INCOMPATIBILITY, need to simplify existing oracle code
717 accordingly. Note that extra performance may be gained by producing
718 the cterm carefully, avoiding slow Thm.cterm_of.
720 * Simplified interface for defining document antiquotations via
721 ThyOutput.antiquotation, ThyOutput.output, and optionally
722 ThyOutput.maybe_pretty_source. INCOMPATIBILITY, need to simplify user
723 antiquotations accordingly, see src/Pure/Thy/thy_output.ML for common
726 * More systematic treatment of long names, abstract name bindings, and
727 name space operations. Basic operations on qualified names have been
728 move from structure NameSpace to Long_Name, e.g. Long_Name.base_name,
729 Long_Name.append. Old type bstring has been mostly replaced by
730 abstract type binding (see structure Binding), which supports precise
731 qualification by packages and local theory targets, as well as proper
732 tracking of source positions. INCOMPATIBILITY, need to wrap old
733 bstring values into Binding.name, or better pass through abstract
734 bindings everywhere. See further src/Pure/General/long_name.ML,
735 src/Pure/General/binding.ML and src/Pure/General/name_space.ML
737 * Result facts (from PureThy.note_thms, ProofContext.note_thms,
738 LocalTheory.note etc.) now refer to the *full* internal name, not the
739 bstring as before. INCOMPATIBILITY, not detected by ML type-checking!
741 * Disposed old type and term read functions (Sign.read_def_typ,
742 Sign.read_typ, Sign.read_def_terms, Sign.read_term,
743 Thm.read_def_cterms, Thm.read_cterm etc.). INCOMPATIBILITY, should
744 use regular Syntax.read_typ, Syntax.read_term, Syntax.read_typ_global,
745 Syntax.read_term_global etc.; see also OldGoals.read_term as last
746 resort for legacy applications.
748 * Disposed old declarations, tactics, tactic combinators that refer to
749 the simpset or claset of an implicit theory (such as Addsimps,
750 Simp_tac, SIMPSET). INCOMPATIBILITY, should use @{simpset} etc. in
751 embedded ML text, or local_simpset_of with a proper context passed as
752 explicit runtime argument.
754 * Rules and tactics that read instantiations (read_instantiate,
755 res_inst_tac, thin_tac, subgoal_tac etc.) now demand a proper proof
756 context, which is required for parsing and type-checking. Moreover,
757 the variables are specified as plain indexnames, not string encodings
758 thereof. INCOMPATIBILITY.
760 * Generic Toplevel.add_hook interface allows to analyze the result of
761 transactions. E.g. see src/Pure/ProofGeneral/proof_general_pgip.ML
762 for theorem dependency output of transactions resulting in a new
765 * ML antiquotations: block-structured compilation context indicated by
766 \<lbrace> ... \<rbrace>; additional antiquotation forms:
768 @{binding name} - basic name binding
769 @{let ?pat = term} - term abbreviation (HO matching)
770 @{note name = fact} - fact abbreviation
771 @{thm fact} - singleton fact (with attributes)
772 @{thms fact} - general fact (with attributes)
773 @{lemma prop by method} - singleton goal
774 @{lemma prop by meth1 meth2} - singleton goal
775 @{lemma prop1 ... propN by method} - general goal
776 @{lemma prop1 ... propN by meth1 meth2} - general goal
777 @{lemma (open) ...} - open derivation
782 * The Isabelle "emacs" tool provides a specific interface to invoke
783 Proof General / Emacs, with more explicit failure if that is not
784 installed (the old isabelle-interface script silently falls back on
785 isabelle-process). The PROOFGENERAL_HOME setting determines the
786 installation location of the Proof General distribution.
788 * Isabelle/lib/classes/Pure.jar provides basic support to integrate
789 the Isabelle process into a JVM/Scala application. See
790 Isabelle/lib/jedit/plugin for a minimal example. (The obsolete Java
791 process wrapper has been discontinued.)
793 * Added homegrown Isabelle font with unicode layout, see lib/fonts.
795 * Various status messages (with exact source position information) are
796 emitted, if proper markup print mode is enabled. This allows
797 user-interface components to provide detailed feedback on internal
802 New in Isabelle2008 (June 2008)
803 -------------------------------
807 * The Isabelle/Isar Reference Manual (isar-ref) has been reorganized
808 and updated, with formally checked references as hyperlinks.
810 * Theory loader: use_thy (and similar operations) no longer set the
811 implicit ML context, which was occasionally hard to predict and in
812 conflict with concurrency. INCOMPATIBILITY, use ML within Isar which
813 provides a proper context already.
815 * Theory loader: old-style ML proof scripts being *attached* to a thy
816 file are no longer supported. INCOMPATIBILITY, regular 'uses' and
817 'use' within a theory file will do the job.
819 * Name space merge now observes canonical order, i.e. the second space
820 is inserted into the first one, while existing entries in the first
821 space take precedence. INCOMPATIBILITY in rare situations, may try to
824 * Syntax: symbol \<chi> is now considered a letter. Potential
825 INCOMPATIBILITY in identifier syntax etc.
827 * Outer syntax: string tokens no longer admit escaped white space,
828 which was an accidental (undocumented) feature. INCOMPATIBILITY, use
829 white space without escapes.
831 * Outer syntax: string tokens may contain arbitrary character codes
832 specified via 3 decimal digits (as in SML). E.g. "foo\095bar" for
838 * Context-dependent token translations. Default setup reverts locally
839 fixed variables, and adds hilite markup for undeclared frees.
841 * Unused theorems can be found using the new command 'unused_thms'.
842 There are three ways of invoking it:
845 Only finds unused theorems in the current theory.
847 (2) unused_thms thy_1 ... thy_n -
848 Finds unused theorems in the current theory and all of its ancestors,
849 excluding the theories thy_1 ... thy_n and all of their ancestors.
851 (3) unused_thms thy_1 ... thy_n - thy'_1 ... thy'_m
852 Finds unused theorems in the theories thy'_1 ... thy'_m and all of
853 their ancestors, excluding the theories thy_1 ... thy_n and all of
856 In order to increase the readability of the list produced by
857 unused_thms, theorems that have been created by a particular instance
858 of a theory command such as 'inductive' or 'function' are considered
859 to belong to the same "group", meaning that if at least one theorem in
860 this group is used, the other theorems in the same group are no longer
861 reported as unused. Moreover, if all theorems in the group are
862 unused, only one theorem in the group is displayed.
864 Note that proof objects have to be switched on in order for
865 unused_thms to work properly (i.e. !proofs must be >= 1, which is
866 usually the case when using Proof General with the default settings).
868 * Authentic naming of facts disallows ad-hoc overwriting of previous
869 theorems within the same name space. INCOMPATIBILITY, need to remove
870 duplicate fact bindings, or even accidental fact duplications. Note
871 that tools may maintain dynamically scoped facts systematically, using
872 PureThy.add_thms_dynamic.
874 * Command 'hide' now allows to hide from "fact" name space as well.
876 * Eliminated destructive theorem database, simpset, claset, and
877 clasimpset. Potential INCOMPATIBILITY, really need to observe linear
878 update of theories within ML code.
880 * Eliminated theory ProtoPure and CPure, leaving just one Pure theory.
881 INCOMPATIBILITY, object-logics depending on former Pure require
882 additional setup PureThy.old_appl_syntax_setup; object-logics
883 depending on former CPure need to refer to Pure.
885 * Commands 'use' and 'ML' are now purely functional, operating on
886 theory/local_theory. Removed former 'ML_setup' (on theory), use 'ML'
887 instead. Added 'ML_val' as mere diagnostic replacement for 'ML'.
890 * Command 'setup': discontinued implicit version with ML reference.
892 * Instantiation target allows for simultaneous specification of class
893 instance operations together with an instantiation proof.
894 Type-checking phase allows to refer to class operations uniformly.
895 See src/HOL/Complex/Complex.thy for an Isar example and
896 src/HOL/Library/Eval.thy for an ML example.
898 * Indexing of literal facts: be more serious about including only
899 facts from the visible specification/proof context, but not the
900 background context (locale etc.). Affects `prop` notation and method
901 "fact". INCOMPATIBILITY: need to name facts explicitly in rare
904 * Method "cases", "induct", "coinduct": removed obsolete/undocumented
905 "(open)" option, which used to expose internal bound variables to the
908 * Isar statements: removed obsolete case "rule_context".
909 INCOMPATIBILITY, better use explicit fixes/assumes.
911 * Locale proofs: default proof step now includes 'unfold_locales';
912 hence 'proof' without argument may be used to unfold locale
916 *** Document preparation ***
918 * Simplified pdfsetup.sty: color/hyperref is used unconditionally for
919 both pdf and dvi (hyperlinks usually work in xdvi as well); removed
920 obsolete thumbpdf setup (contemporary PDF viewers do this on the
921 spot); renamed link color from "darkblue" to "linkcolor" (default
922 value unchanged, can be redefined via \definecolor); no longer sets
923 "a4paper" option (unnecessary or even intrusive).
925 * Antiquotation @{lemma A method} proves proposition A by the given
926 method (either a method name or a method name plus (optional) method
927 arguments in parentheses) and prints A just like @{prop A}.
932 * New primrec package. Specification syntax conforms in style to
933 definition/function/.... No separate induction rule is provided. The
934 "primrec" command distinguishes old-style and new-style specifications
935 by syntax. The former primrec package is now named OldPrimrecPackage.
936 When adjusting theories, beware: constants stemming from new-style
937 primrec specifications have authentic syntax.
939 * Metis prover is now an order of magnitude faster, and also works
942 * Metis: the maximum number of clauses that can be produced from a
943 theorem is now given by the attribute max_clauses. Theorems that
944 exceed this number are ignored, with a warning printed.
946 * Sledgehammer no longer produces structured proofs by default. To
947 enable, declare [[sledgehammer_full = true]]. Attributes
948 reconstruction_modulus, reconstruction_sorts renamed
949 sledgehammer_modulus, sledgehammer_sorts. INCOMPATIBILITY.
951 * Method "induct_scheme" derives user-specified induction rules
952 from well-founded induction and completeness of patterns. This factors
953 out some operations that are done internally by the function package
954 and makes them available separately. See
955 src/HOL/ex/Induction_Scheme.thy for examples.
957 * More flexible generation of measure functions for termination
958 proofs: Measure functions can be declared by proving a rule of the
959 form "is_measure f" and giving it the [measure_function] attribute.
960 The "is_measure" predicate is logically meaningless (always true), and
961 just guides the heuristic. To find suitable measure functions, the
962 termination prover sets up the goal "is_measure ?f" of the appropriate
963 type and generates all solutions by prolog-style backwards proof using
966 This setup also deals with rules like
968 "is_measure f ==> is_measure (list_size f)"
970 which accommodates nested datatypes that recurse through lists.
971 Similar rules are predeclared for products and option types.
973 * Turned the type of sets "'a set" into an abbreviation for "'a => bool"
977 - Definitions of overloaded constants on sets have to be replaced by
978 definitions on => and bool.
980 - Some definitions of overloaded operators on sets can now be proved
981 using the definitions of the operators on => and bool. Therefore,
982 the following theorems have been renamed:
984 subset_def -> subset_eq
985 psubset_def -> psubset_eq
986 set_diff_def -> set_diff_eq
987 Compl_def -> Compl_eq
988 Sup_set_def -> Sup_set_eq
989 Inf_set_def -> Inf_set_eq
990 sup_set_def -> sup_set_eq
991 inf_set_def -> inf_set_eq
993 - Due to the incompleteness of the HO unification algorithm, some
994 rules such as subst may require manual instantiation, if some of
995 the unknowns in the rule is a set.
997 - Higher order unification and forward proofs:
1000 have "P (S::'a set)" <...>
1001 then have "EX S. P S" ..
1003 no longer works (due to the incompleteness of the HO unification
1004 algorithm) and must be replaced by the pattern
1011 - Calculational reasoning with subst (or similar rules):
1014 have "P (S::'a set)" <...>
1015 also have "S = T" <...>
1016 finally have "P T" .
1018 no longer works (for similar reasons as the previous example) and
1019 must be replaced by something like
1021 have "P (S::'a set)" <...>
1022 moreover have "S = T" <...>
1023 ultimately have "P T" by simp
1025 - Tactics or packages written in ML code:
1026 Code performing pattern matching on types via
1028 Type ("set", [T]) => ...
1030 must be rewritten. Moreover, functions like strip_type or
1031 binder_types no longer return the right value when applied to a
1034 T1 => ... => Tn => U => bool
1038 T1 => ... => Tn => U set
1040 * Merged theories Wellfounded_Recursion, Accessible_Part and
1041 Wellfounded_Relations to theory Wellfounded.
1043 * Explicit class "eq" for executable equality. INCOMPATIBILITY.
1045 * Class finite no longer treats UNIV as class parameter. Use class
1046 enum from theory Library/Enum instead to achieve a similar effect.
1049 * Theory List: rule list_induct2 now has explicitly named cases "Nil"
1050 and "Cons". INCOMPATIBILITY.
1052 * HOL (and FOL): renamed variables in rules imp_elim and swap.
1053 Potential INCOMPATIBILITY.
1055 * Theory Product_Type: duplicated lemmas split_Pair_apply and
1056 injective_fst_snd removed, use split_eta and prod_eqI instead.
1057 Renamed upd_fst to apfst and upd_snd to apsnd. INCOMPATIBILITY.
1059 * Theory Nat: removed redundant lemmas that merely duplicate lemmas of
1060 the same name in theory Orderings:
1070 Renamed less_imp_le to less_imp_le_nat, and less_irrefl to
1071 less_irrefl_nat. Potential INCOMPATIBILITY due to more general types
1072 and different variable names.
1074 * Library/Option_ord.thy: Canonical order on option type.
1076 * Library/RBT.thy: Red-black trees, an efficient implementation of
1079 * Library/Countable.thy: Type class for countable types.
1081 * Theory Int: The representation of numerals has changed. The infix
1082 operator BIT and the bit datatype with constructors B0 and B1 have
1083 disappeared. INCOMPATIBILITY, use "Int.Bit0 x" and "Int.Bit1 y" in
1084 place of "x BIT bit.B0" and "y BIT bit.B1", respectively. Theorems
1085 involving BIT, B0, or B1 have been renamed with "Bit0" or "Bit1"
1088 * Theory Nat: definition of <= and < on natural numbers no longer
1089 depend on well-founded relations. INCOMPATIBILITY. Definitions
1090 le_def and less_def have disappeared. Consider lemmas not_less
1091 [symmetric, where ?'a = nat] and less_eq [symmetric] instead.
1093 * Theory Finite_Set: locales ACf, ACe, ACIf, ACIfSL and ACIfSLlin
1094 (whose purpose mainly is for various fold_set functionals) have been
1095 abandoned in favor of the existing algebraic classes
1096 ab_semigroup_mult, comm_monoid_mult, ab_semigroup_idem_mult,
1097 lower_semilattice (resp. upper_semilattice) and linorder.
1100 * Theory Transitive_Closure: induct and cases rules now declare proper
1101 case_names ("base" and "step"). INCOMPATIBILITY.
1103 * Theorem Inductive.lfp_ordinal_induct generalized to complete
1104 lattices. The form set-specific version is available as
1105 Inductive.lfp_ordinal_induct_set.
1107 * Renamed theorems "power.simps" to "power_int.simps".
1110 * Class semiring_div provides basic abstract properties of semirings
1111 with division and modulo operations. Subsumes former class dvd_mod.
1113 * Merged theories IntDef, Numeral and IntArith into unified theory
1114 Int. INCOMPATIBILITY.
1116 * Theory Library/Code_Index: type "index" now represents natural
1117 numbers rather than integers. INCOMPATIBILITY.
1119 * New class "uminus" with operation "uminus" (split of from class
1120 "minus" which now only has operation "minus", binary).
1123 * Constants "card", "internal_split", "option_map" now with authentic
1124 syntax. INCOMPATIBILITY.
1126 * Definitions subset_def, psubset_def, set_diff_def, Compl_def,
1127 le_bool_def, less_bool_def, le_fun_def, less_fun_def, inf_bool_def,
1128 sup_bool_def, Inf_bool_def, Sup_bool_def, inf_fun_def, sup_fun_def,
1129 Inf_fun_def, Sup_fun_def, inf_set_def, sup_set_def, Inf_set_def,
1130 Sup_set_def, le_def, less_def, option_map_def now with object
1131 equality. INCOMPATIBILITY.
1133 * Records. Removed K_record, and replaced it by pure lambda term
1134 %x. c. The simplifier setup is now more robust against eta expansion.
1135 INCOMPATIBILITY: in cases explicitly referring to K_record.
1137 * Library/Multiset: {#a, b, c#} abbreviates {#a#} + {#b#} + {#c#}.
1139 * Library/ListVector: new theory of arithmetic vector operations.
1141 * Library/Order_Relation: new theory of various orderings as sets of
1142 pairs. Defines preorders, partial orders, linear orders and
1143 well-orders on sets and on types.
1148 * Renamed some theories to allow to loading both ZF and HOL in the
1151 Datatype -> Datatype_ZF
1152 Inductive -> Inductive_ZF
1159 INCOMPATIBILITY: ZF theories that import individual theories below
1160 Main might need to be adapted. Regular theory Main is still
1161 available, as trivial extension of Main_ZF.
1166 * ML within Isar: antiquotation @{const name} or @{const
1167 name(typargs)} produces statically-checked Const term.
1169 * Functor NamedThmsFun: data is available to the user as dynamic fact
1170 (of the same name). Removed obsolete print command.
1172 * Removed obsolete "use_legacy_bindings" function.
1174 * The ``print mode'' is now a thread-local value derived from a global
1175 template (the former print_mode reference), thus access becomes
1176 non-critical. The global print_mode reference is for session
1177 management only; user-code should use print_mode_value,
1178 print_mode_active, PrintMode.setmp etc. INCOMPATIBILITY.
1180 * Functions system/system_out provide a robust way to invoke external
1181 shell commands, with propagation of interrupts (requires Poly/ML
1182 5.2.1). Do not use OS.Process.system etc. from the basis library!
1187 * Default settings: PROOFGENERAL_OPTIONS no longer impose xemacs ---
1188 in accordance with Proof General 3.7, which prefers GNU emacs.
1190 * isatool tty runs Isabelle process with plain tty interaction;
1191 optional line editor may be specified via ISABELLE_LINE_EDITOR
1192 setting, the default settings attempt to locate "ledit" and "rlwrap".
1194 * isatool browser now works with Cygwin as well, using general
1195 "javapath" function defined in Isabelle process environment.
1197 * YXML notation provides a simple and efficient alternative to
1198 standard XML transfer syntax. See src/Pure/General/yxml.ML and
1199 isatool yxml as described in the Isabelle system manual.
1201 * JVM class isabelle.IsabelleProcess (located in Isabelle/lib/classes)
1202 provides general wrapper for managing an Isabelle process in a robust
1203 fashion, with ``cooked'' output from stdin/stderr.
1205 * Rudimentary Isabelle plugin for jEdit (see Isabelle/lib/jedit),
1206 based on Isabelle/JVM process wrapper (see Isabelle/lib/classes).
1208 * Removed obsolete THIS_IS_ISABELLE_BUILD feature. NB: the documented
1209 way of changing the user's settings is via
1210 ISABELLE_HOME_USER/etc/settings, which is a fully featured bash
1213 * Multithreading.max_threads := 0 refers to the number of actual CPU
1214 cores of the underlying machine, which is a good starting point for
1215 optimal performance tuning. The corresponding usedir option -M allows
1216 "max" as an alias for "0". WARNING: does not work on certain versions
1217 of Mac OS (with Poly/ML 5.1).
1219 * isabelle-process: non-ML sessions are run with "nice", to reduce the
1220 adverse effect of Isabelle flooding interactive front-ends (notably
1221 ProofGeneral / XEmacs).
1225 New in Isabelle2007 (November 2007)
1226 -----------------------------------
1230 * More uniform information about legacy features, notably a
1231 warning/error of "Legacy feature: ...", depending on the state of the
1232 tolerate_legacy_features flag (default true). FUTURE INCOMPATIBILITY:
1233 legacy features will disappear eventually.
1235 * Theory syntax: the header format ``theory A = B + C:'' has been
1236 discontinued in favour of ``theory A imports B C begin''. Use isatool
1237 fixheaders to convert existing theory files. INCOMPATIBILITY.
1239 * Theory syntax: the old non-Isar theory file format has been
1240 discontinued altogether. Note that ML proof scripts may still be used
1241 with Isar theories; migration is usually quite simple with the ML
1242 function use_legacy_bindings. INCOMPATIBILITY.
1244 * Theory syntax: some popular names (e.g. 'class', 'declaration',
1245 'fun', 'help', 'if') are now keywords. INCOMPATIBILITY, use double
1248 * Theory loader: be more serious about observing the static theory
1249 header specifications (including optional directories), but not the
1250 accidental file locations of previously successful loads. The strict
1251 update policy of former update_thy is now already performed by
1252 use_thy, so the former has been removed; use_thys updates several
1253 theories simultaneously, just as 'imports' within a theory header
1254 specification, but without merging the results. Potential
1255 INCOMPATIBILITY: may need to refine theory headers and commands
1256 ROOT.ML which depend on load order.
1258 * Theory loader: optional support for content-based file
1259 identification, instead of the traditional scheme of full physical
1260 path plus date stamp; configured by the ISABELLE_FILE_IDENT setting
1261 (cf. the system manual). The new scheme allows to work with
1262 non-finished theories in persistent session images, such that source
1263 files may be moved later on without requiring reloads.
1265 * Theory loader: old-style ML proof scripts being *attached* to a thy
1266 file (with the same base name as the theory) are considered a legacy
1267 feature, which will disappear eventually. Even now, the theory loader
1268 no longer maintains dependencies on such files.
1270 * Syntax: the scope for resolving ambiguities via type-inference is
1271 now limited to individual terms, instead of whole simultaneous
1272 specifications as before. This greatly reduces the complexity of the
1273 syntax module and improves flexibility by separating parsing and
1274 type-checking. INCOMPATIBILITY: additional type-constraints (explicit
1275 'fixes' etc.) are required in rare situations.
1277 * Syntax: constants introduced by new-style packages ('definition',
1278 'abbreviation' etc.) are passed through the syntax module in
1279 ``authentic mode''. This means that associated mixfix annotations
1280 really stick to such constants, independently of potential name space
1281 ambiguities introduced later on. INCOMPATIBILITY: constants in parse
1282 trees are represented slightly differently, may need to adapt syntax
1283 translations accordingly. Use CONST marker in 'translations' and
1284 @{const_syntax} antiquotation in 'parse_translation' etc.
1286 * Legacy goal package: reduced interface to the bare minimum required
1287 to keep existing proof scripts running. Most other user-level
1288 functions are now part of the OldGoals structure, which is *not* open
1289 by default (consider isatool expandshort before open OldGoals).
1290 Removed top_sg, prin, printyp, pprint_term/typ altogether, because
1291 these tend to cause confusion about the actual goal (!) context being
1292 used here, which is not necessarily the same as the_context().
1294 * Command 'find_theorems': supports "*" wild-card in "name:"
1295 criterion; "with_dups" option. Certain ProofGeneral versions might
1296 support a specific search form (see ProofGeneral/CHANGES).
1298 * The ``prems limit'' option (cf. ProofContext.prems_limit) is now -1
1299 by default, which means that "prems" (and also "fixed variables") are
1300 suppressed from proof state output. Note that the ProofGeneral
1301 settings mechanism allows to change and save options persistently, but
1302 older versions of Isabelle will fail to start up if a negative prems
1305 * Local theory targets may be specified by non-nested blocks of
1306 ``context/locale/class ... begin'' followed by ``end''. The body may
1307 contain definitions, theorems etc., including any derived mechanism
1308 that has been implemented on top of these primitives. This concept
1309 generalizes the existing ``theorem (in ...)'' towards more versatility
1312 * Proof General interface: proper undo of final 'end' command;
1313 discontinued Isabelle/classic mode (ML proof scripts).
1316 *** Document preparation ***
1318 * Added antiquotation @{theory name} which prints the given name,
1319 after checking that it refers to a valid ancestor theory in the
1322 * Added antiquotations @{ML_type text} and @{ML_struct text} which
1323 check the given source text as ML type/structure, printing verbatim.
1325 * Added antiquotation @{abbrev "c args"} which prints the abbreviation
1326 "c args == rhs" given in the current context. (Any number of
1327 arguments may be given on the LHS.)
1332 * The 'class' package offers a combination of axclass and locale to
1333 achieve Haskell-like type classes in Isabelle. Definitions and
1334 theorems within a class context produce both relative results (with
1335 implicit parameters according to the locale context), and polymorphic
1336 constants with qualified polymorphism (according to the class
1337 context). Within the body context of a 'class' target, a separate
1338 syntax layer ("user space type system") takes care of converting
1339 between global polymorphic consts and internal locale representation.
1340 See src/HOL/ex/Classpackage.thy for examples (as well as main HOL).
1341 "isatool doc classes" provides a tutorial.
1343 * Generic code generator framework allows to generate executable
1344 code for ML and Haskell (including Isabelle classes). A short usage
1347 internal compilation:
1348 export_code <list of constants (term syntax)> in SML
1349 writing SML code to a file:
1350 export_code <list of constants (term syntax)> in SML <filename>
1351 writing OCaml code to a file:
1352 export_code <list of constants (term syntax)> in OCaml <filename>
1353 writing Haskell code to a bunch of files:
1354 export_code <list of constants (term syntax)> in Haskell <filename>
1356 evaluating closed propositions to True/False using code generation:
1359 Reasonable default setup of framework in HOL.
1361 Theorem attributs for selecting and transforming function equations theorems:
1363 [code fun]: select a theorem as function equation for a specific constant
1364 [code fun del]: deselect a theorem as function equation for a specific constant
1365 [code inline]: select an equation theorem for unfolding (inlining) in place
1366 [code inline del]: deselect an equation theorem for unfolding (inlining) in place
1368 User-defined serializations (target in {SML, OCaml, Haskell}):
1370 code_const <and-list of constants (term syntax)>
1371 {(target) <and-list of const target syntax>}+
1373 code_type <and-list of type constructors>
1374 {(target) <and-list of type target syntax>}+
1376 code_instance <and-list of instances>
1378 where instance ::= <type constructor> :: <class>
1380 code_class <and_list of classes>
1381 {(target) <and-list of class target syntax>}+
1382 where class target syntax ::= <class name> {where {<classop> == <target syntax>}+}?
1384 code_instance and code_class only are effective to target Haskell.
1386 For example usage see src/HOL/ex/Codegenerator.thy and
1387 src/HOL/ex/Codegenerator_Pretty.thy. A separate tutorial on code
1388 generation from Isabelle/HOL theories is available via "isatool doc
1391 * Code generator: consts in 'consts_code' Isar commands are now
1392 referred to by usual term syntax (including optional type
1395 * Command 'no_translations' removes translation rules from theory
1398 * Overloaded definitions are now actually checked for acyclic
1399 dependencies. The overloading scheme is slightly more general than
1400 that of Haskell98, although Isabelle does not demand an exact
1401 correspondence to type class and instance declarations.
1402 INCOMPATIBILITY, use ``defs (unchecked overloaded)'' to admit more
1403 exotic versions of overloading -- at the discretion of the user!
1405 Polymorphic constants are represented via type arguments, i.e. the
1406 instantiation that matches an instance against the most general
1407 declaration given in the signature. For example, with the declaration
1408 c :: 'a => 'a => 'a, an instance c :: nat => nat => nat is represented
1409 as c(nat). Overloading is essentially simultaneous structural
1410 recursion over such type arguments. Incomplete specification patterns
1411 impose global constraints on all occurrences, e.g. c('a * 'a) on the
1412 LHS means that more general c('a * 'b) will be disallowed on any RHS.
1413 Command 'print_theory' outputs the normalized system of recursive
1414 equations, see section "definitions".
1416 * Configuration options are maintained within the theory or proof
1417 context (with name and type bool/int/string), providing a very simple
1418 interface to a poor-man's version of general context data. Tools may
1419 declare options in ML (e.g. using Attrib.config_int) and then refer to
1420 these values using Config.get etc. Users may change options via an
1421 associated attribute of the same name. This form of context
1422 declaration works particularly well with commands 'declare' or
1423 'using', for example ``declare [[foo = 42]]''. Thus it has become
1424 very easy to avoid global references, which would not observe Isar
1425 toplevel undo/redo and fail to work with multithreading.
1427 Various global ML references of Pure and HOL have been turned into
1428 configuration options:
1430 Unify.search_bound unify_search_bound
1431 Unify.trace_bound unify_trace_bound
1432 Unify.trace_simp unify_trace_simp
1433 Unify.trace_types unify_trace_types
1434 Simplifier.simp_depth_limit simp_depth_limit
1435 Blast.depth_limit blast_depth_limit
1436 DatatypeProp.dtK datatype_distinctness_limit
1437 fast_arith_neq_limit fast_arith_neq_limit
1438 fast_arith_split_limit fast_arith_split_limit
1440 * Named collections of theorems may be easily installed as context
1441 data using the functor NamedThmsFun (see also
1442 src/Pure/Tools/named_thms.ML). The user may add or delete facts via
1443 attributes; there is also a toplevel print command. This facility is
1444 just a common case of general context data, which is the preferred way
1445 for anything more complex than just a list of facts in canonical
1448 * Isar: command 'declaration' augments a local theory by generic
1449 declaration functions written in ML. This enables arbitrary content
1450 being added to the context, depending on a morphism that tells the
1451 difference of the original declaration context wrt. the application
1452 context encountered later on.
1454 * Isar: proper interfaces for simplification procedures. Command
1455 'simproc_setup' declares named simprocs (with match patterns, and body
1456 text in ML). Attribute "simproc" adds/deletes simprocs in the current
1457 context. ML antiquotation @{simproc name} retrieves named simprocs.
1459 * Isar: an extra pair of brackets around attribute declarations
1460 abbreviates a theorem reference involving an internal dummy fact,
1461 which will be ignored later --- only the effect of the attribute on
1462 the background context will persist. This form of in-place
1463 declarations is particularly useful with commands like 'declare' and
1464 'using', for example ``have A using [[simproc a]] by simp''.
1466 * Isar: method "assumption" (and implicit closing of subproofs) now
1467 takes simple non-atomic goal assumptions into account: after applying
1468 an assumption as a rule the resulting subgoals are solved by atomic
1469 assumption steps. This is particularly useful to finish 'obtain'
1470 goals, such as "!!x. (!!x. P x ==> thesis) ==> P x ==> thesis",
1471 without referring to the original premise "!!x. P x ==> thesis" in the
1472 Isar proof context. POTENTIAL INCOMPATIBILITY: method "assumption" is
1475 * Isar: implicit use of prems from the Isar proof context is
1476 considered a legacy feature. Common applications like ``have A .''
1477 may be replaced by ``have A by fact'' or ``note `A`''. In general,
1478 referencing facts explicitly here improves readability and
1479 maintainability of proof texts.
1481 * Isar: improper proof element 'guess' is like 'obtain', but derives
1482 the obtained context from the course of reasoning! For example:
1484 assume "EX x y. A x & B y" -- "any previous fact"
1485 then guess x and y by clarify
1487 This technique is potentially adventurous, depending on the facts and
1488 proof tools being involved here.
1490 * Isar: known facts from the proof context may be specified as literal
1491 propositions, using ASCII back-quote syntax. This works wherever
1492 named facts used to be allowed so far, in proof commands, proof
1493 methods, attributes etc. Literal facts are retrieved from the context
1494 according to unification of type and term parameters. For example,
1495 provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known
1496 theorems in the current context, then these are valid literal facts:
1497 `A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.
1499 There is also a proof method "fact" which does the same composition
1500 for explicit goal states, e.g. the following proof texts coincide with
1501 certain special cases of literal facts:
1503 have "A" by fact == note `A`
1504 have "A ==> B" by fact == note `A ==> B`
1505 have "!!x. P x ==> Q x" by fact == note `!!x. P x ==> Q x`
1506 have "P a ==> Q a" by fact == note `P a ==> Q a`
1508 * Isar: ":" (colon) is no longer a symbolic identifier character in
1509 outer syntax. Thus symbolic identifiers may be used without
1510 additional white space in declarations like this: ``assume *: A''.
1512 * Isar: 'print_facts' prints all local facts of the current context,
1513 both named and unnamed ones.
1515 * Isar: 'def' now admits simultaneous definitions, e.g.:
1517 def x == "t" and y == "u"
1519 * Isar: added command 'unfolding', which is structurally similar to
1520 'using', but affects both the goal state and facts by unfolding given
1521 rewrite rules. Thus many occurrences of the 'unfold' method or
1522 'unfolded' attribute may be replaced by first-class proof text.
1524 * Isar: methods 'unfold' / 'fold', attributes 'unfolded' / 'folded',
1525 and command 'unfolding' now all support object-level equalities
1526 (potentially conditional). The underlying notion of rewrite rule is
1527 analogous to the 'rule_format' attribute, but *not* that of the
1528 Simplifier (which is usually more generous).
1530 * Isar: the new attribute [rotated n] (default n = 1) rotates the
1531 premises of a theorem by n. Useful in conjunction with drule.
1533 * Isar: the goal restriction operator [N] (default N = 1) evaluates a
1534 method expression within a sandbox consisting of the first N
1535 sub-goals, which need to exist. For example, ``simp_all [3]''
1536 simplifies the first three sub-goals, while (rule foo, simp_all)[]
1537 simplifies all new goals that emerge from applying rule foo to the
1538 originally first one.
1540 * Isar: schematic goals are no longer restricted to higher-order
1541 patterns; e.g. ``lemma "?P(?x)" by (rule TrueI)'' now works as
1544 * Isar: the conclusion of a long theorem statement is now either
1545 'shows' (a simultaneous conjunction, as before), or 'obtains'
1546 (essentially a disjunction of cases with local parameters and
1547 assumptions). The latter allows to express general elimination rules
1548 adequately; in this notation common elimination rules look like this:
1550 lemma exE: -- "EX x. P x ==> (!!x. P x ==> thesis) ==> thesis"
1552 obtains x where "P x"
1554 lemma conjE: -- "A & B ==> (A ==> B ==> thesis) ==> thesis"
1558 lemma disjE: -- "A | B ==> (A ==> thesis) ==> (B ==> thesis) ==> thesis"
1564 The subsequent classical rules even refer to the formal "thesis"
1567 lemma classical: -- "(~ thesis ==> thesis) ==> thesis"
1570 lemma Peirce's_Law: -- "((thesis ==> something) ==> thesis) ==> thesis"
1571 obtains "thesis ==> something"
1573 The actual proof of an 'obtains' statement is analogous to that of the
1574 Isar proof element 'obtain', only that there may be several cases.
1575 Optional case names may be specified in parentheses; these will be
1576 available both in the present proof and as annotations in the
1577 resulting rule, for later use with the 'cases' method (cf. attribute
1580 * Isar: the assumptions of a long theorem statement are available as
1581 "assms" fact in the proof context. This is more appropriate than the
1582 (historical) "prems", which refers to all assumptions of the current
1583 context, including those from the target locale, proof body etc.
1585 * Isar: 'print_statement' prints theorems from the current theory or
1586 proof context in long statement form, according to the syntax of a
1589 * Isar: 'obtain' takes an optional case name for the local context
1590 introduction rule (default "that").
1592 * Isar: removed obsolete 'concl is' patterns. INCOMPATIBILITY, use
1593 explicit (is "_ ==> ?foo") in the rare cases where this still happens
1596 * Pure: syntax "CONST name" produces a fully internalized constant
1597 according to the current context. This is particularly useful for
1598 syntax translations that should refer to internal constant
1599 representations independently of name spaces.
1601 * Pure: syntax constant for foo (binder "FOO ") is called "foo_binder"
1602 instead of "FOO ". This allows multiple binder declarations to coexist
1603 in the same context. INCOMPATIBILITY.
1605 * Isar/locales: 'notation' provides a robust interface to the 'syntax'
1606 primitive that also works in a locale context (both for constants and
1607 fixed variables). Type declaration and internal syntactic representation
1608 of given constants retrieved from the context. Likewise, the
1609 'no_notation' command allows to remove given syntax annotations from the
1612 * Isar/locales: new derived specification elements 'axiomatization',
1613 'definition', 'abbreviation', which support type-inference, admit
1614 object-level specifications (equality, equivalence). See also the
1615 isar-ref manual. Examples:
1618 eq (infix "===" 50) where
1619 eq_refl: "x === x" and eq_subst: "x === y ==> P x ==> P y"
1621 definition "f x y = x + y + 1"
1622 definition g where "g x = f x x"
1625 neq (infix "=!=" 50) where
1626 "x =!= y == ~ (x === y)"
1628 These specifications may be also used in a locale context. Then the
1629 constants being introduced depend on certain fixed parameters, and the
1630 constant name is qualified by the locale base name. An internal
1631 abbreviation takes care for convenient input and output, making the
1632 parameters implicit and using the original short name. See also
1633 src/HOL/ex/Abstract_NAT.thy for an example of deriving polymorphic
1634 entities from a monomorphic theory.
1636 Presently, abbreviations are only available 'in' a target locale, but
1637 not inherited by general import expressions. Also note that
1638 'abbreviation' may be used as a type-safe replacement for 'syntax' +
1639 'translations' in common applications. The "no_abbrevs" print mode
1640 prevents folding of abbreviations in term output.
1642 Concrete syntax is attached to specified constants in internal form,
1643 independently of name spaces. The parse tree representation is
1644 slightly different -- use 'notation' instead of raw 'syntax', and
1645 'translations' with explicit "CONST" markup to accommodate this.
1647 * Pure/Isar: unified syntax for new-style specification mechanisms
1648 (e.g. 'definition', 'abbreviation', or 'inductive' in HOL) admits
1649 full type inference and dummy patterns ("_"). For example:
1651 definition "K x _ = x"
1653 inductive conj for A B
1654 where "A ==> B ==> conj A B"
1656 * Pure: command 'print_abbrevs' prints all constant abbreviations of
1657 the current context. Print mode "no_abbrevs" prevents inversion of
1658 abbreviations on output.
1660 * Isar/locales: improved parameter handling: use of locales "var" and
1661 "struct" no longer necessary; - parameter renamings are no longer
1662 required to be injective. For example, this allows to define
1663 endomorphisms as locale endom = homom mult mult h.
1665 * Isar/locales: changed the way locales with predicates are defined.
1666 Instead of accumulating the specification, the imported expression is
1667 now an interpretation. INCOMPATIBILITY: different normal form of
1668 locale expressions. In particular, in interpretations of locales with
1669 predicates, goals repesenting already interpreted fragments are not
1670 removed automatically. Use methods `intro_locales' and
1671 `unfold_locales'; see below.
1673 * Isar/locales: new methods `intro_locales' and `unfold_locales'
1674 provide backward reasoning on locales predicates. The methods are
1675 aware of interpretations and discharge corresponding goals.
1676 `intro_locales' is less aggressive then `unfold_locales' and does not
1677 unfold predicates to assumptions.
1679 * Isar/locales: the order in which locale fragments are accumulated
1680 has changed. This enables to override declarations from fragments due
1681 to interpretations -- for example, unwanted simp rules.
1683 * Isar/locales: interpretation in theories and proof contexts has been
1684 extended. One may now specify (and prove) equations, which are
1685 unfolded in interpreted theorems. This is useful for replacing
1686 defined concepts (constants depending on locale parameters) by
1687 concepts already existing in the target context. Example:
1689 interpretation partial_order ["op <= :: [int, int] => bool"]
1690 where "partial_order.less (op <=) (x::int) y = (x < y)"
1692 Typically, the constant `partial_order.less' is created by a
1693 definition specification element in the context of locale
1696 * Method "induct": improved internal context management to support
1697 local fixes and defines on-the-fly. Thus explicit meta-level
1698 connectives !! and ==> are rarely required anymore in inductive goals
1699 (using object-logic connectives for this purpose has been long
1700 obsolete anyway). Common proof patterns are explained in
1701 src/HOL/Induct/Common_Patterns.thy, see also
1702 src/HOL/Isar_examples/Puzzle.thy and src/HOL/Lambda for realistic
1705 * Method "induct": improved handling of simultaneous goals. Instead of
1706 introducing object-level conjunction, the statement is now split into
1707 several conclusions, while the corresponding symbolic cases are nested
1708 accordingly. INCOMPATIBILITY, proofs need to be structured explicitly,
1709 see src/HOL/Induct/Common_Patterns.thy, for example.
1711 * Method "induct": mutual induction rules are now specified as a list
1712 of rule sharing the same induction cases. HOL packages usually provide
1713 foo_bar.inducts for mutually defined items foo and bar (e.g. inductive
1714 predicates/sets or datatypes). INCOMPATIBILITY, users need to specify
1715 mutual induction rules differently, i.e. like this:
1717 (induct rule: foo_bar.inducts)
1718 (induct set: foo bar)
1719 (induct pred: foo bar)
1720 (induct type: foo bar)
1722 The ML function ProjectRule.projections turns old-style rules into the
1725 * Method "coinduct": dual of induction, see
1726 src/HOL/Library/Coinductive_List.thy for various examples.
1728 * Method "cases", "induct", "coinduct": the ``(open)'' option is
1729 considered a legacy feature.
1731 * Attribute "symmetric" produces result with standardized schematic
1732 variables (index 0). Potential INCOMPATIBILITY.
1734 * Simplifier: by default the simplifier trace only shows top level
1735 rewrites now. That is, trace_simp_depth_limit is set to 1 by
1736 default. Thus there is less danger of being flooded by the trace. The
1737 trace indicates where parts have been suppressed.
1739 * Provers/classical: removed obsolete classical version of elim_format
1740 attribute; classical elim/dest rules are now treated uniformly when
1741 manipulating the claset.
1743 * Provers/classical: stricter checks to ensure that supplied intro,
1744 dest and elim rules are well-formed; dest and elim rules must have at
1747 * Provers/classical: attributes dest/elim/intro take an optional
1748 weight argument for the rule (just as the Pure versions). Weights are
1749 ignored by automated tools, but determine the search order of single
1752 * Syntax: input syntax now supports dummy variable binding "%_. b",
1753 where the body does not mention the bound variable. Note that dummy
1754 patterns implicitly depend on their context of bounds, which makes
1755 "{_. _}" match any set comprehension as expected. Potential
1756 INCOMPATIBILITY -- parse translations need to cope with syntactic
1757 constant "_idtdummy" in the binding position.
1759 * Syntax: removed obsolete syntactic constant "_K" and its associated
1760 parse translation. INCOMPATIBILITY -- use dummy abstraction instead,
1761 for example "A -> B" => "Pi A (%_. B)".
1763 * Pure: 'class_deps' command visualizes the subclass relation, using
1764 the graph browser tool.
1766 * Pure: 'print_theory' now suppresses certain internal declarations by
1767 default; use '!' option for full details.
1772 * Method "metis" proves goals by applying the Metis general-purpose
1773 resolution prover (see also http://gilith.com/software/metis/).
1774 Examples are in the directory MetisExamples. WARNING: the
1775 Isabelle/HOL-Metis integration does not yet work properly with
1778 * Command 'sledgehammer' invokes external automatic theorem provers as
1779 background processes. It generates calls to the "metis" method if
1780 successful. These can be pasted into the proof. Users do not have to
1781 wait for the automatic provers to return. WARNING: does not really
1782 work with multi-threading.
1784 * New "auto_quickcheck" feature tests outermost goal statements for
1785 potential counter-examples. Controlled by ML references
1786 auto_quickcheck (default true) and auto_quickcheck_time_limit (default
1787 5000 milliseconds). Fails silently if statements is outside of
1788 executable fragment, or any other codgenerator problem occurs.
1790 * New constant "undefined" with axiom "undefined x = undefined".
1792 * Added class "HOL.eq", allowing for code generation with polymorphic
1795 * Some renaming of class constants due to canonical name prefixing in
1796 the new 'class' package:
1798 HOL.abs ~> HOL.abs_class.abs
1799 HOL.divide ~> HOL.divide_class.divide
1800 0 ~> HOL.zero_class.zero
1801 1 ~> HOL.one_class.one
1802 op + ~> HOL.plus_class.plus
1803 op - ~> HOL.minus_class.minus
1804 uminus ~> HOL.minus_class.uminus
1805 op * ~> HOL.times_class.times
1806 op < ~> HOL.ord_class.less
1807 op <= > HOL.ord_class.less_eq
1808 Nat.power ~> Power.power_class.power
1809 Nat.size ~> Nat.size_class.size
1810 Numeral.number_of ~> Numeral.number_class.number_of
1811 FixedPoint.Inf ~> Lattices.complete_lattice_class.Inf
1812 FixedPoint.Sup ~> Lattices.complete_lattice_class.Sup
1813 Orderings.min ~> Orderings.ord_class.min
1814 Orderings.max ~> Orderings.ord_class.max
1815 Divides.op div ~> Divides.div_class.div
1816 Divides.op mod ~> Divides.div_class.mod
1817 Divides.op dvd ~> Divides.div_class.dvd
1819 INCOMPATIBILITY. Adaptions may be required in the following cases:
1821 a) User-defined constants using any of the names "plus", "minus",
1822 "times", "less" or "less_eq". The standard syntax translations for
1823 "+", "-" and "*" may go wrong. INCOMPATIBILITY: use more specific
1826 b) Variables named "plus", "minus", "times", "less", "less_eq"
1827 INCOMPATIBILITY: use more specific names.
1829 c) Permutative equations (e.g. "a + b = b + a")
1830 Since the change of names also changes the order of terms, permutative
1831 rewrite rules may get applied in a different order. Experience shows
1832 that this is rarely the case (only two adaptions in the whole Isabelle
1833 distribution). INCOMPATIBILITY: rewrite proofs
1835 d) ML code directly refering to constant names
1836 This in general only affects hand-written proof tactics, simprocs and
1837 so on. INCOMPATIBILITY: grep your sourcecode and replace names.
1838 Consider using @{const_name} antiquotation.
1840 * New class "default" with associated constant "default".
1842 * Function "sgn" is now overloaded and available on int, real, complex
1843 (and other numeric types), using class "sgn". Two possible defs of
1844 sgn are given as equational assumptions in the classes sgn_if and
1845 sgn_div_norm; ordered_idom now also inherits from sgn_if.
1848 * Locale "partial_order" now unified with class "order" (cf. theory
1849 Orderings), added parameter "less". INCOMPATIBILITY.
1851 * Renamings in classes "order" and "linorder": facts "refl", "trans" and
1852 "cases" to "order_refl", "order_trans" and "linorder_cases", to avoid
1853 clashes with HOL "refl" and "trans". INCOMPATIBILITY.
1855 * Classes "order" and "linorder": potential INCOMPATIBILITY due to
1856 changed order of proof goals in instance proofs.
1858 * The transitivity reasoner for partial and linear orders is set up
1859 for classes "order" and "linorder". Instances of the reasoner are available
1860 in all contexts importing or interpreting the corresponding locales.
1861 Method "order" invokes the reasoner separately; the reasoner
1862 is also integrated with the Simplifier as a solver. Diagnostic
1863 command 'print_orders' shows the available instances of the reasoner
1864 in the current context.
1866 * Localized monotonicity predicate in theory "Orderings"; integrated
1867 lemmas max_of_mono and min_of_mono with this predicate.
1870 * Formulation of theorem "dense" changed slightly due to integration
1871 with new class dense_linear_order.
1873 * Uniform lattice theory development in HOL.
1875 constants "meet" and "join" now named "inf" and "sup"
1876 constant "Meet" now named "Inf"
1878 classes "meet_semilorder" and "join_semilorder" now named
1879 "lower_semilattice" and "upper_semilattice"
1880 class "lorder" now named "lattice"
1881 class "comp_lat" now named "complete_lattice"
1883 Instantiation of lattice classes allows explicit definitions
1884 for "inf" and "sup" operations (or "Inf" and "Sup" for complete lattices).
1886 INCOMPATIBILITY. Theorem renames:
1888 meet_left_le ~> inf_le1
1889 meet_right_le ~> inf_le2
1890 join_left_le ~> sup_ge1
1891 join_right_le ~> sup_ge2
1892 meet_join_le ~> inf_sup_ord
1895 le_meet ~> le_inf_iff
1896 le_join ~> ge_sup_conv
1897 meet_idempotent ~> inf_idem
1898 join_idempotent ~> sup_idem
1899 meet_comm ~> inf_commute
1900 join_comm ~> sup_commute
1901 meet_leI1 ~> le_infI1
1902 meet_leI2 ~> le_infI2
1903 le_joinI1 ~> le_supI1
1904 le_joinI2 ~> le_supI2
1905 meet_assoc ~> inf_assoc
1906 join_assoc ~> sup_assoc
1907 meet_left_comm ~> inf_left_commute
1908 meet_left_idempotent ~> inf_left_idem
1909 join_left_comm ~> sup_left_commute
1910 join_left_idempotent ~> sup_left_idem
1913 le_def_meet ~> le_iff_inf
1914 le_def_join ~> le_iff_sup
1915 join_absorp2 ~> sup_absorb2
1916 join_absorp1 ~> sup_absorb1
1917 meet_absorp1 ~> inf_absorb1
1918 meet_absorp2 ~> inf_absorb2
1919 meet_join_absorp ~> inf_sup_absorb
1920 join_meet_absorp ~> sup_inf_absorb
1921 distrib_join_le ~> distrib_sup_le
1922 distrib_meet_le ~> distrib_inf_le
1924 add_meet_distrib_left ~> add_inf_distrib_left
1925 add_join_distrib_left ~> add_sup_distrib_left
1926 is_join_neg_meet ~> is_join_neg_inf
1927 is_meet_neg_join ~> is_meet_neg_sup
1928 add_meet_distrib_right ~> add_inf_distrib_right
1929 add_join_distrib_right ~> add_sup_distrib_right
1930 add_meet_join_distribs ~> add_sup_inf_distribs
1931 join_eq_neg_meet ~> sup_eq_neg_inf
1932 meet_eq_neg_join ~> inf_eq_neg_sup
1933 add_eq_meet_join ~> add_eq_inf_sup
1934 meet_0_imp_0 ~> inf_0_imp_0
1935 join_0_imp_0 ~> sup_0_imp_0
1936 meet_0_eq_0 ~> inf_0_eq_0
1937 join_0_eq_0 ~> sup_0_eq_0
1938 neg_meet_eq_join ~> neg_inf_eq_sup
1939 neg_join_eq_meet ~> neg_sup_eq_inf
1940 join_eq_if ~> sup_eq_if
1942 mono_meet ~> mono_inf
1943 mono_join ~> mono_sup
1944 meet_bool_eq ~> inf_bool_eq
1945 join_bool_eq ~> sup_bool_eq
1946 meet_fun_eq ~> inf_fun_eq
1947 join_fun_eq ~> sup_fun_eq
1948 meet_set_eq ~> inf_set_eq
1949 join_set_eq ~> sup_set_eq
1950 meet1_iff ~> inf1_iff
1951 meet2_iff ~> inf2_iff
1960 join1_iff ~> sup1_iff
1961 join2_iff ~> sup2_iff
1971 is_meet_Meet ~> is_meet_Inf
1972 Meet_bool_def ~> Inf_bool_def
1973 Meet_fun_def ~> Inf_fun_def
1974 Meet_greatest ~> Inf_greatest
1975 Meet_lower ~> Inf_lower
1976 Meet_set_def ~> Inf_set_def
1979 Sup_bool_eq ~> Sup_bool_def
1980 Sup_fun_eq ~> Sup_fun_def
1981 Sup_set_eq ~> Sup_set_def
1983 listsp_meetI ~> listsp_infI
1984 listsp_meet_eq ~> listsp_inf_eq
1989 * Added syntactic class "size"; overloaded constant "size" now has
1990 type "'a::size ==> bool"
1992 * Internal reorganisation of `size' of datatypes: size theorems
1993 "foo.size" are no longer subsumed by "foo.simps" (but are still
1994 simplification rules by default!); theorems "prod.size" now named
1997 * Class "div" now inherits from class "times" rather than "type".
2000 * HOL/Finite_Set: "name-space" locales Lattice, Distrib_lattice,
2001 Linorder etc. have disappeared; operations defined in terms of
2002 fold_set now are named Inf_fin, Sup_fin. INCOMPATIBILITY.
2004 * HOL/Nat: neq0_conv no longer declared as iff. INCOMPATIBILITY.
2006 * HOL-Word: New extensive library and type for generic, fixed size
2007 machine words, with arithemtic, bit-wise, shifting and rotating
2008 operations, reflection into int, nat, and bool lists, automation for
2009 linear arithmetic (by automatic reflection into nat or int), including
2010 lemmas on overflow and monotonicity. Instantiated to all appropriate
2011 arithmetic type classes, supporting automatic simplification of
2012 numerals on all operations.
2014 * Library/Boolean_Algebra: locales for abstract boolean algebras.
2016 * Library/Numeral_Type: numbers as types, e.g. TYPE(32).
2018 * Code generator library theories:
2019 - Code_Integer represents HOL integers by big integer literals in target
2021 - Code_Char represents HOL characters by character literals in target
2023 - Code_Char_chr like Code_Char, but also offers treatment of character
2024 codes; includes Code_Integer.
2025 - Executable_Set allows to generate code for finite sets using lists.
2026 - Executable_Rat implements rational numbers as triples (sign, enumerator,
2028 - Executable_Real implements a subset of real numbers, namly those
2029 representable by rational numbers.
2030 - Efficient_Nat implements natural numbers by integers, which in general will
2031 result in higher efficency; pattern matching with 0/Suc is eliminated;
2032 includes Code_Integer.
2033 - Code_Index provides an additional datatype index which is mapped to
2034 target-language built-in integers.
2035 - Code_Message provides an additional datatype message_string which is isomorphic to
2036 strings; messages are mapped to target-language strings.
2038 * New package for inductive predicates
2040 An n-ary predicate p with m parameters z_1, ..., z_m can now be defined via
2043 p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
2044 for z_1 :: U_1 and ... and z_n :: U_m
2046 rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
2049 with full support for type-inference, rather than
2051 consts s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
2053 abbreviation p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
2054 where "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
2056 inductive "s z_1 ... z_m"
2058 rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
2061 For backward compatibility, there is a wrapper allowing inductive
2062 sets to be defined with the new package via
2065 s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
2066 for z_1 :: U_1 and ... and z_n :: U_m
2068 rule_1: "... ==> (t_1_1, ..., t_1_n) : s z_1 ... z_m"
2074 s :: "U_1 => ... => U_m => (T_1 * ... * T_n) set"
2075 and p :: "U_1 => ... => U_m => T_1 => ... => T_n => bool"
2076 for z_1 :: U_1 and ... and z_n :: U_m
2078 "p z_1 ... z_m x_1 ... x_n == (x_1, ..., x_n) : s z_1 ... z_m"
2079 | rule_1: "... ==> p z_1 ... z_m t_1_1 ... t_1_n"
2082 if the additional syntax "p ..." is required.
2084 Numerous examples can be found in the subdirectories src/HOL/Auth,
2085 src/HOL/Bali, src/HOL/Induct, and src/HOL/MicroJava.
2089 - Since declaration and definition of inductive sets or predicates
2090 is no longer separated, abbreviations involving the newly
2091 introduced sets or predicates must be specified together with the
2092 introduction rules after the 'where' keyword (see above), rather
2093 than before the actual inductive definition.
2095 - The variables in induction and elimination rules are now
2096 quantified in the order of their occurrence in the introduction
2097 rules, rather than in alphabetical order. Since this may break
2098 some proofs, these proofs either have to be repaired, e.g. by
2099 reordering the variables a_i_1 ... a_i_{k_i} in Isar 'case'
2100 statements of the form
2102 case (rule_i a_i_1 ... a_i_{k_i})
2104 or the old order of quantification has to be restored by explicitly adding
2105 meta-level quantifiers in the introduction rules, i.e.
2107 | rule_i: "!!a_i_1 ... a_i_{k_i}. ... ==> p z_1 ... z_m t_i_1 ... t_i_n"
2109 - The format of the elimination rules is now
2111 p z_1 ... z_m x_1 ... x_n ==>
2112 (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
2117 (x_1, ..., x_n) : s z_1 ... z_m ==>
2118 (!!a_1_1 ... a_1_{k_1}. x_1 = t_1_1 ==> ... ==> x_n = t_1_n ==> ... ==> P)
2121 for sets rather than
2123 x : s z_1 ... z_m ==>
2124 (!!a_1_1 ... a_1_{k_1}. x = (t_1_1, ..., t_1_n) ==> ... ==> P)
2127 This may require terms in goals to be expanded to n-tuples
2128 (e.g. using case_tac or simplification with the split_paired_all
2129 rule) before the above elimination rule is applicable.
2131 - The elimination or case analysis rules for (mutually) inductive
2132 sets or predicates are now called "p_1.cases" ... "p_k.cases". The
2133 list of rules "p_1_..._p_k.elims" is no longer available.
2135 * New package "function"/"fun" for general recursive functions,
2136 supporting mutual and nested recursion, definitions in local contexts,
2137 more general pattern matching and partiality. See HOL/ex/Fundefs.thy
2138 for small examples, and the separate tutorial on the function
2139 package. The old recdef "package" is still available as before, but
2140 users are encouraged to use the new package.
2142 * Method "lexicographic_order" automatically synthesizes termination
2143 relations as lexicographic combinations of size measures.
2145 * Case-expressions allow arbitrary constructor-patterns (including
2146 "_") and take their order into account, like in functional
2147 programming. Internally, this is translated into nested
2148 case-expressions; missing cases are added and mapped to the predefined
2149 constant "undefined". In complicated cases printing may no longer show
2150 the original input but the internal form. Lambda-abstractions allow
2151 the same form of pattern matching: "% pat1 => e1 | ..." is an
2152 abbreviation for "%x. case x of pat1 => e1 | ..." where x is a new
2155 * IntDef: The constant "int :: nat => int" has been removed; now "int"
2156 is an abbreviation for "of_nat :: nat => int". The simplification
2157 rules for "of_nat" have been changed to work like "int" did
2158 previously. Potential INCOMPATIBILITY:
2159 - "of_nat (Suc m)" simplifies to "1 + of_nat m" instead of "of_nat m + 1"
2160 - of_nat_diff and of_nat_mult are no longer default simp rules
2162 * Method "algebra" solves polynomial equations over (semi)rings using
2163 Groebner bases. The (semi)ring structure is defined by locales and the
2164 tool setup depends on that generic context. Installing the method for
2165 a specific type involves instantiating the locale and possibly adding
2166 declarations for computation on the coefficients. The method is
2167 already instantiated for natural numbers and for the axiomatic class
2168 of idoms with numerals. See also the paper by Chaieb and Wenzel at
2169 CALCULEMUS 2007 for the general principles underlying this
2170 architecture of context-aware proof-tools.
2172 * Method "ferrack" implements quantifier elimination over
2173 special-purpose dense linear orders using locales (analogous to
2174 "algebra"). The method is already installed for class
2175 {ordered_field,recpower,number_ring} which subsumes real, hyperreal,
2178 * Former constant "List.op @" now named "List.append". Use ML
2179 antiquotations @{const_name List.append} or @{term " ... @ ... "} to
2180 circumvent possible incompatibilities when working on ML level.
2182 * primrec: missing cases mapped to "undefined" instead of "arbitrary".
2184 * New function listsum :: 'a list => 'a for arbitrary monoids.
2185 Special syntax: "SUM x <- xs. f x" (and latex variants)
2187 * New syntax for Haskell-like list comprehension (input only), eg.
2188 [(x,y). x <- xs, y <- ys, x ~= y], see also src/HOL/List.thy.
2190 * The special syntax for function "filter" has changed from [x :
2191 xs. P] to [x <- xs. P] to avoid an ambiguity caused by list
2192 comprehension syntax, and for uniformity. INCOMPATIBILITY.
2194 * [a..b] is now defined for arbitrary linear orders. It used to be
2195 defined on nat only, as an abbreviation for [a..<Suc b]
2198 * Renamed lemma "set_take_whileD" to "set_takeWhileD".
2200 * New functions "sorted" and "sort" in src/HOL/List.thy.
2202 * New lemma collection field_simps (an extension of ring_simps) for
2203 manipulating (in)equations involving division. Multiplies with all
2204 denominators that can be proved to be non-zero (in equations) or
2205 positive/negative (in inequations).
2207 * Lemma collections ring_eq_simps, group_eq_simps and ring_distrib
2208 have been improved and renamed to ring_simps, group_simps and
2209 ring_distribs. Removed lemmas field_xyz in theory Ring_and_Field
2210 because they were subsumed by lemmas xyz. INCOMPATIBILITY.
2212 * Theory Library/Commutative_Ring: switched from recdef to function
2213 package; constants add, mul, pow now curried. Infix syntax for
2214 algebraic operations.
2216 * Dropped redundant lemma def_imp_eq in favor of meta_eq_to_obj_eq.
2219 * Dropped redundant lemma if_def2 in favor of if_bool_eq_conj.
2222 * HOL/records: generalised field-update to take a function on the
2223 field rather than the new value: r(|A := x|) is translated to A_update
2224 (K x) r The K-combinator that is internally used is called K_record.
2225 INCOMPATIBILITY: Usage of the plain update functions has to be
2228 * Class "semiring_0" now contains annihilation axioms x * 0 = 0 and 0
2229 * x = 0, which are required for a semiring. Richer structures do not
2230 inherit from semiring_0 anymore, because this property is a theorem
2231 there, not an axiom. INCOMPATIBILITY: In instances of semiring_0,
2232 there is more to prove, but this is mostly trivial.
2234 * Class "recpower" is generalized to arbitrary monoids, not just
2235 commutative semirings. INCOMPATIBILITY: may need to incorporate
2236 commutativity or semiring properties additionally.
2238 * Constant "List.list_all2" in List.thy now uses authentic syntax.
2239 INCOMPATIBILITY: translations containing list_all2 may go wrong,
2240 better use 'abbreviation'.
2242 * Renamed constant "List.op mem" to "List.member". INCOMPATIBILITY.
2244 * Numeral syntax: type 'bin' which was a mere type copy of 'int' has
2245 been abandoned in favour of plain 'int'. INCOMPATIBILITY --
2246 significant changes for setting up numeral syntax for types:
2247 - New constants Numeral.pred and Numeral.succ instead
2248 of former Numeral.bin_pred and Numeral.bin_succ.
2249 - Use integer operations instead of bin_add, bin_mult and so on.
2250 - Numeral simplification theorems named Numeral.numeral_simps instead of Bin_simps.
2251 - ML structure Bin_Simprocs now named Int_Numeral_Base_Simprocs.
2253 See src/HOL/Integ/IntArith.thy for an example setup.
2255 * Command 'normal_form' computes the normal form of a term that may
2256 contain free variables. For example ``normal_form "rev [a, b, c]"''
2257 produces ``[b, c, a]'' (without proof). This command is suitable for
2258 heavy-duty computations because the functions are compiled to ML
2259 first. Correspondingly, a method "normalization" is provided. See
2260 further src/HOL/ex/NormalForm.thy and src/Tools/nbe.ML.
2262 * Alternative iff syntax "A <-> B" for equality on bool (with priority
2263 25 like -->); output depends on the "iff" print_mode, the default is
2264 "A = B" (with priority 50).
2266 * Relations less (<) and less_eq (<=) are also available on type bool.
2267 Modified syntax to disallow nesting without explicit parentheses,
2268 e.g. "(x < y) < z" or "x < (y < z)", but NOT "x < y < z". Potential
2271 * "LEAST x:A. P" expands to "LEAST x. x:A & P" (input only).
2273 * Relation composition operator "op O" now has precedence 75 and binds
2274 stronger than union and intersection. INCOMPATIBILITY.
2276 * The old set interval syntax "{m..n(}" (and relatives) has been
2277 removed. Use "{m..<n}" (and relatives) instead.
2279 * In the context of the assumption "~(s = t)" the Simplifier rewrites
2280 "t = s" to False (by simproc "neq"). INCOMPATIBILITY, consider using
2281 ``declare [[simproc del: neq]]''.
2283 * Simplifier: "m dvd n" where m and n are numbers is evaluated to
2286 * Theorem Cons_eq_map_conv no longer declared as "simp".
2288 * Theorem setsum_mult renamed to setsum_right_distrib.
2290 * Prefer ex1I over ex_ex1I in single-step reasoning, e.g. by the
2293 * Reimplemented methods "sat" and "satx", with several improvements:
2294 goals no longer need to be stated as "<prems> ==> False", equivalences
2295 (i.e. "=" on type bool) are handled, variable names of the form
2296 "lit_<n>" are no longer reserved, significant speedup.
2298 * Methods "sat" and "satx" can now replay MiniSat proof traces.
2299 zChaff is still supported as well.
2301 * 'inductive' and 'datatype': provide projections of mutual rules,
2302 bundled as foo_bar.inducts;
2304 * Library: moved theories Parity, GCD, Binomial, Infinite_Set to
2307 * Library: moved theory Accessible_Part to main HOL.
2309 * Library: added theory Coinductive_List of potentially infinite lists
2310 as greatest fixed-point.
2312 * Library: added theory AssocList which implements (finite) maps as
2315 * Method "evaluation" solves goals (i.e. a boolean expression)
2316 efficiently by compiling it to ML. The goal is "proved" (via an
2317 oracle) if it evaluates to True.
2319 * Linear arithmetic now splits certain operators (e.g. min, max, abs)
2320 also when invoked by the simplifier. This results in the Simplifier
2321 being more powerful on arithmetic goals. INCOMPATIBILITY.
2322 Configuration option fast_arith_split_limit=0 recovers the old
2325 * Support for hex (0x20) and binary (0b1001) numerals.
2327 * New method: reify eqs (t), where eqs are equations for an
2328 interpretation I :: 'a list => 'b => 'c and t::'c is an optional
2329 parameter, computes a term s::'b and a list xs::'a list and proves the
2330 theorem I xs s = t. This is also known as reification or quoting. The
2331 resulting theorem is applied to the subgoal to substitute t with I xs
2332 s. If t is omitted, the subgoal itself is reified.
2334 * New method: reflection corr_thm eqs (t). The parameters eqs and (t)
2335 are as explained above. corr_thm is a theorem for I vs (f t) = I vs t,
2336 where f is supposed to be a computable function (in the sense of code
2337 generattion). The method uses reify to compute s and xs as above then
2338 applies corr_thm and uses normalization by evaluation to "prove" f s =
2339 r and finally gets the theorem t = r, which is again applied to the
2340 subgoal. An Example is available in src/HOL/ex/ReflectionEx.thy.
2342 * Reflection: Automatic reification now handels binding, an example is
2343 available in src/HOL/ex/ReflectionEx.thy
2345 * HOL-Statespace: ``State Spaces: The Locale Way'' introduces a
2346 command 'statespace' that is similar to 'record', but introduces an
2347 abstract specification based on the locale infrastructure instead of
2348 HOL types. This leads to extra flexibility in composing state spaces,
2349 in particular multiple inheritance and renaming of components.
2354 * Hyperreal: Functions root and sqrt are now defined on negative real
2355 inputs so that root n (- x) = - root n x and sqrt (- x) = - sqrt x.
2356 Nonnegativity side conditions have been removed from many lemmas, so
2357 that more subgoals may now be solved by simplification; potential
2360 * Real: new type classes formalize real normed vector spaces and
2361 algebras, using new overloaded constants scaleR :: real => 'a => 'a
2362 and norm :: 'a => real.
2364 * Real: constant of_real :: real => 'a::real_algebra_1 injects from
2365 reals into other types. The overloaded constant Reals :: 'a set is now
2366 defined as range of_real; potential INCOMPATIBILITY.
2368 * Real: proper support for ML code generation, including 'quickcheck'.
2369 Reals are implemented as arbitrary precision rationals.
2371 * Hyperreal: Several constants that previously worked only for the
2372 reals have been generalized, so they now work over arbitrary vector
2373 spaces. Type annotations may need to be added in some cases; potential
2376 Infinitesimal :: ('a::real_normed_vector) star set
2377 HFinite :: ('a::real_normed_vector) star set
2378 HInfinite :: ('a::real_normed_vector) star set
2379 approx :: ('a::real_normed_vector) star => 'a star => bool
2380 monad :: ('a::real_normed_vector) star => 'a star set
2381 galaxy :: ('a::real_normed_vector) star => 'a star set
2382 (NS)LIMSEQ :: [nat => 'a::real_normed_vector, 'a] => bool
2383 (NS)convergent :: (nat => 'a::real_normed_vector) => bool
2384 (NS)Bseq :: (nat => 'a::real_normed_vector) => bool
2385 (NS)Cauchy :: (nat => 'a::real_normed_vector) => bool
2386 (NS)LIM :: ['a::real_normed_vector => 'b::real_normed_vector, 'a, 'b] => bool
2387 is(NS)Cont :: ['a::real_normed_vector => 'b::real_normed_vector, 'a] => bool
2388 deriv :: ['a::real_normed_field => 'a, 'a, 'a] => bool
2389 sgn :: 'a::real_normed_vector => 'a
2390 exp :: 'a::{recpower,real_normed_field,banach} => 'a
2392 * Complex: Some complex-specific constants are now abbreviations for
2393 overloaded ones: complex_of_real = of_real, cmod = norm, hcmod =
2394 hnorm. Other constants have been entirely removed in favor of the
2395 polymorphic versions (INCOMPATIBILITY):
2399 HInfinite <-- CInfinite
2400 Infinitesimal <-- CInfinitesimal
2403 (NS)LIM <-- (NS)CLIM, (NS)CRLIM
2404 is(NS)Cont <-- is(NS)Contc, is(NS)contCR
2405 (ns)deriv <-- (ns)cderiv
2410 * Formalisation of ideals and the quotient construction over rings.
2412 * Order and lattice theory no longer based on records.
2415 * Renamed lemmas least_carrier -> least_closed and greatest_carrier ->
2416 greatest_closed. INCOMPATIBILITY.
2418 * Method algebra is now set up via an attribute. For examples see
2419 Ring.thy. INCOMPATIBILITY: the method is now weaker on combinations
2420 of algebraic structures.
2422 * Renamed theory CRing to Ring.
2427 * Substantial, yet incomplete support for nominal datatypes (binding
2428 structures) based on HOL-Nominal logic. See src/HOL/Nominal and
2429 src/HOL/Nominal/Examples. Prospective users should consult
2430 http://isabelle.in.tum.de/nominal/
2435 * ML basics: just one true type int, which coincides with IntInf.int
2438 * ML within Isar: antiquotations allow to embed statically-checked
2439 formal entities in the source, referring to the context available at
2440 compile-time. For example:
2442 ML {* @{sort "{zero,one}"} *}
2443 ML {* @{typ "'a => 'b"} *}
2444 ML {* @{term "%x. x"} *}
2445 ML {* @{prop "x == y"} *}
2446 ML {* @{ctyp "'a => 'b"} *}
2447 ML {* @{cterm "%x. x"} *}
2448 ML {* @{cprop "x == y"} *}
2449 ML {* @{thm asm_rl} *}
2450 ML {* @{thms asm_rl} *}
2451 ML {* @{type_name c} *}
2452 ML {* @{type_syntax c} *}
2453 ML {* @{const_name c} *}
2454 ML {* @{const_syntax c} *}
2457 ML {* @{theory Pure} *}
2458 ML {* @{theory_ref} *}
2459 ML {* @{theory_ref Pure} *}
2462 ML {* @{clasimpset} *}
2464 The same works for sources being ``used'' within an Isar context.
2466 * ML in Isar: improved error reporting; extra verbosity with
2467 ML_Context.trace enabled.
2469 * Pure/General/table.ML: the join operations now works via exceptions
2470 DUP/SAME instead of type option. This is simpler in simple cases, and
2471 admits slightly more efficient complex applications.
2473 * Pure: 'advanced' translation functions (parse_translation etc.) now
2474 use Context.generic instead of just theory.
2476 * Pure: datatype Context.generic joins theory/Proof.context and
2477 provides some facilities for code that works in either kind of
2478 context, notably GenericDataFun for uniform theory and proof data.
2480 * Pure: simplified internal attribute type, which is now always
2481 Context.generic * thm -> Context.generic * thm. Global (theory) vs.
2482 local (Proof.context) attributes have been discontinued, while
2483 minimizing code duplication. Thm.rule_attribute and
2484 Thm.declaration_attribute build canonical attributes; see also structure
2485 Context for further operations on Context.generic, notably
2486 GenericDataFun. INCOMPATIBILITY, need to adapt attribute type
2487 declarations and definitions.
2489 * Context data interfaces (Theory/Proof/GenericDataFun): removed
2490 name/print, uninitialized data defaults to ad-hoc copy of empty value,
2491 init only required for impure data. INCOMPATIBILITY: empty really need
2492 to be empty (no dependencies on theory content!)
2494 * Pure/kernel: consts certification ignores sort constraints given in
2495 signature declarations. (This information is not relevant to the
2496 logic, but only for type inference.) SIGNIFICANT INTERNAL CHANGE,
2497 potential INCOMPATIBILITY.
2499 * Pure: axiomatic type classes are now purely definitional, with
2500 explicit proofs of class axioms and super class relations performed
2501 internally. See Pure/axclass.ML for the main internal interfaces --
2502 notably AxClass.define_class supercedes AxClass.add_axclass, and
2503 AxClass.axiomatize_class/classrel/arity supersede
2504 Sign.add_classes/classrel/arities.
2506 * Pure/Isar: Args/Attrib parsers operate on Context.generic --
2507 global/local versions on theory vs. Proof.context have been
2508 discontinued; Attrib.syntax and Method.syntax have been adapted
2509 accordingly. INCOMPATIBILITY, need to adapt parser expressions for
2510 attributes, methods, etc.
2512 * Pure: several functions of signature "... -> theory -> theory * ..."
2513 have been reoriented to "... -> theory -> ... * theory" in order to
2514 allow natural usage in combination with the ||>, ||>>, |-> and
2515 fold_map combinators.
2517 * Pure: official theorem names (closed derivations) and additional
2518 comments (tags) are now strictly separate. Name hints -- which are
2519 maintained as tags -- may be attached any time without affecting the
2522 * Pure: primitive rule lift_rule now takes goal cterm instead of an
2523 actual goal state (thm). Use Thm.lift_rule (Thm.cprem_of st i) to
2524 achieve the old behaviour.
2526 * Pure: the "Goal" constant is now called "prop", supporting a
2527 slightly more general idea of ``protecting'' meta-level rule
2530 * Pure: Logic.(un)varify only works in a global context, which is now
2531 enforced instead of silently assumed. INCOMPATIBILITY, may use
2532 Logic.legacy_(un)varify as temporary workaround.
2534 * Pure: structure Name provides scalable operations for generating
2535 internal variable names, notably Name.variants etc. This replaces
2536 some popular functions from term.ML:
2538 Term.variant -> Name.variant
2539 Term.variantlist -> Name.variant_list
2540 Term.invent_names -> Name.invent_list
2542 Note that low-level renaming rarely occurs in new code -- operations
2543 from structure Variable are used instead (see below).
2545 * Pure: structure Variable provides fundamental operations for proper
2546 treatment of fixed/schematic variables in a context. For example,
2547 Variable.import introduces fixes for schematics of given facts and
2548 Variable.export reverses the effect (up to renaming) -- this replaces
2549 various freeze_thaw operations.
2551 * Pure: structure Goal provides simple interfaces for
2552 init/conclude/finish and tactical prove operations (replacing former
2553 Tactic.prove). Goal.prove is the canonical way to prove results
2554 within a given context; Goal.prove_global is a degraded version for
2555 theory level goals, including a global Drule.standard. Note that
2556 OldGoals.prove_goalw_cterm has long been obsolete, since it is
2557 ill-behaved in a local proof context (e.g. with local fixes/assumes or
2558 in a locale context).
2560 * Pure/Syntax: generic interfaces for parsing (Syntax.parse_term etc.)
2561 and type checking (Syntax.check_term etc.), with common combinations
2562 (Syntax.read_term etc.). These supersede former Sign.read_term etc.
2563 which are considered legacy and await removal.
2565 * Pure/Syntax: generic interfaces for type unchecking
2566 (Syntax.uncheck_terms etc.) and unparsing (Syntax.unparse_term etc.),
2567 with common combinations (Syntax.pretty_term, Syntax.string_of_term
2568 etc.). Former Sign.pretty_term, Sign.string_of_term etc. are still
2569 available for convenience, but refer to the very same operations using
2570 a mere theory instead of a full context.
2572 * Isar: simplified treatment of user-level errors, using exception
2573 ERROR of string uniformly. Function error now merely raises ERROR,
2574 without any side effect on output channels. The Isar toplevel takes
2575 care of proper display of ERROR exceptions. ML code may use plain
2576 handle/can/try; cat_error may be used to concatenate errors like this:
2578 ... handle ERROR msg => cat_error msg "..."
2580 Toplevel ML code (run directly or through the Isar toplevel) may be
2581 embedded into the Isar toplevel with exception display/debug like
2584 Isar.toplevel (fn () => ...)
2586 INCOMPATIBILITY, removed special transform_error facilities, removed
2587 obsolete variants of user-level exceptions (ERROR_MESSAGE,
2588 Context.PROOF, ProofContext.CONTEXT, Proof.STATE, ProofHistory.FAIL)
2589 -- use plain ERROR instead.
2591 * Isar: theory setup now has type (theory -> theory), instead of a
2592 list. INCOMPATIBILITY, may use #> to compose setup functions.
2594 * Isar: ML toplevel pretty printer for type Proof.context, subject to
2595 ProofContext.debug/verbose flags.
2597 * Isar: Toplevel.theory_to_proof admits transactions that modify the
2598 theory before entering a proof state. Transactions now always see a
2599 quasi-functional intermediate checkpoint, both in interactive and
2602 * Isar: simplified interfaces for outer syntax. Renamed
2603 OuterSyntax.add_keywords to OuterSyntax.keywords. Removed
2604 OuterSyntax.add_parsers -- this functionality is now included in
2605 OuterSyntax.command etc. INCOMPATIBILITY.
2607 * Simplifier: the simpset of a running simplification process now
2608 contains a proof context (cf. Simplifier.the_context), which is the
2609 very context that the initial simpset has been retrieved from (by
2610 simpset_of/local_simpset_of). Consequently, all plug-in components
2611 (solver, looper etc.) may depend on arbitrary proof data.
2613 * Simplifier.inherit_context inherits the proof context (plus the
2614 local bounds) of the current simplification process; any simproc
2615 etc. that calls the Simplifier recursively should do this! Removed
2616 former Simplifier.inherit_bounds, which is already included here --
2617 INCOMPATIBILITY. Tools based on low-level rewriting may even have to
2618 specify an explicit context using Simplifier.context/theory_context.
2620 * Simplifier/Classical Reasoner: more abstract interfaces
2621 change_simpset/claset for modifying the simpset/claset reference of a
2622 theory; raw versions simpset/claset_ref etc. have been discontinued --
2625 * Provers: more generic wrt. syntax of object-logics, avoid hardwired
2631 * settings: the default heap location within ISABELLE_HOME_USER now
2632 includes ISABELLE_IDENTIFIER. This simplifies use of multiple
2633 Isabelle installations.
2635 * isabelle-process: option -S (secure mode) disables some critical
2636 operations, notably runtime compilation and evaluation of ML source
2639 * Basic Isabelle mode for jEdit, see Isabelle/lib/jedit/.
2641 * Support for parallel execution, using native multicore support of
2642 Poly/ML 5.1. The theory loader exploits parallelism when processing
2643 independent theories, according to the given theory header
2644 specifications. The maximum number of worker threads is specified via
2645 usedir option -M or the "max-threads" setting in Proof General. A
2646 speedup factor of 1.5--3.5 can be expected on a 4-core machine, and up
2647 to 6 on a 8-core machine. User-code needs to observe certain
2648 guidelines for thread-safe programming, see appendix A in the Isar
2649 Implementation manual.
2653 New in Isabelle2005 (October 2005)
2654 ----------------------------------
2658 * Theory headers: the new header syntax for Isar theories is
2661 imports <theory1> ... <theoryN>
2662 uses <file1> ... <fileM>
2665 where the 'uses' part is optional. The previous syntax
2667 theory <name> = <theory1> + ... + <theoryN>:
2669 will disappear in the next release. Use isatool fixheaders to convert
2670 existing theory files. Note that there is no change in ancient
2671 non-Isar theories now, but these will disappear soon.
2673 * Theory loader: parent theories can now also be referred to via
2674 relative and absolute paths.
2676 * Command 'find_theorems' searches for a list of criteria instead of a
2677 list of constants. Known criteria are: intro, elim, dest, name:string,
2678 simp:term, and any term. Criteria can be preceded by '-' to select
2679 theorems that do not match. Intro, elim, dest select theorems that
2680 match the current goal, name:s selects theorems whose fully qualified
2681 name contain s, and simp:term selects all simplification rules whose
2682 lhs match term. Any other term is interpreted as pattern and selects
2683 all theorems matching the pattern. Available in ProofGeneral under
2684 'ProofGeneral -> Find Theorems' or C-c C-f. Example:
2686 C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."
2688 prints the last 100 theorems matching the pattern "(_::nat) + _ + _",
2689 matching the current goal as introduction rule and not having "HOL."
2690 in their name (i.e. not being defined in theory HOL).
2692 * Command 'thms_containing' has been discontinued in favour of
2693 'find_theorems'; INCOMPATIBILITY.
2695 * Communication with Proof General is now 8bit clean, which means that
2696 Unicode text in UTF-8 encoding may be used within theory texts (both
2697 formal and informal parts). Cf. option -U of the Isabelle Proof
2698 General interface. Here are some simple examples (cf. src/HOL/ex):
2700 http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html
2701 http://isabelle.in.tum.de/library/HOL/ex/Chinese.html
2703 * Improved efficiency of the Simplifier and, to a lesser degree, the
2704 Classical Reasoner. Typical big applications run around 2 times
2708 *** Document preparation ***
2710 * Commands 'display_drafts' and 'print_drafts' perform simple output
2711 of raw sources. Only those symbols that do not require additional
2712 LaTeX packages (depending on comments in isabellesym.sty) are
2713 displayed properly, everything else is left verbatim. isatool display
2714 and isatool print are used as front ends (these are subject to the
2715 DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).
2717 * Command tags control specific markup of certain regions of text,
2718 notably folding and hiding. Predefined tags include "theory" (for
2719 theory begin and end), "proof" for proof commands, and "ML" for
2720 commands involving ML code; the additional tags "visible" and
2721 "invisible" are unused by default. Users may give explicit tag
2722 specifications in the text, e.g. ''by %invisible (auto)''. The
2723 interpretation of tags is determined by the LaTeX job during document
2724 preparation: see option -V of isatool usedir, or options -n and -t of
2725 isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,
2728 Several document versions may be produced at the same time via isatool
2729 usedir (the generated index.html will link all of them). Typical
2730 specifications include ''-V document=theory,proof,ML'' to present
2731 theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold
2732 proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit
2733 these parts without any formal replacement text. The Isabelle site
2734 default settings produce ''document'' and ''outline'' versions as
2737 * Several new antiquotations:
2739 @{term_type term} prints a term with its type annotated;
2741 @{typeof term} prints the type of a term;
2743 @{const const} is the same as @{term const}, but checks that the
2744 argument is a known logical constant;
2746 @{term_style style term} and @{thm_style style thm} print a term or
2747 theorem applying a "style" to it
2751 Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of
2752 definitions, equations, inequations etc., 'concl' printing only the
2753 conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'
2754 to print the specified premise. TermStyle.add_style provides an ML
2755 interface for introducing further styles. See also the "LaTeX Sugar"
2756 document practical applications. The ML antiquotation prints
2757 type-checked ML expressions verbatim.
2759 * Markup commands 'chapter', 'section', 'subsection', 'subsubsection',
2760 and 'text' support optional locale specification '(in loc)', which
2761 specifies the default context for interpreting antiquotations. For
2762 example: 'text (in lattice) {* @{thm inf_assoc}*}'.
2764 * Option 'locale=NAME' of antiquotations specifies an alternative
2765 context interpreting the subsequent argument. For example: @{thm
2766 [locale=lattice] inf_assoc}.
2768 * Proper output of proof terms (@{prf ...} and @{full_prf ...}) within
2771 * Proper output of antiquotations for theory commands involving a
2772 proof context (such as 'locale' or 'theorem (in loc) ...').
2774 * Delimiters of outer tokens (string etc.) now produce separate LaTeX
2775 macros (\isachardoublequoteopen, isachardoublequoteclose etc.).
2777 * isatool usedir: new option -C (default true) controls whether option
2778 -D should include a copy of the original document directory; -C false
2779 prevents unwanted effects such as copying of administrative CVS data.
2784 * Considerably improved version of 'constdefs' command. Now performs
2785 automatic type-inference of declared constants; additional support for
2786 local structure declarations (cf. locales and HOL records), see also
2787 isar-ref manual. Potential INCOMPATIBILITY: need to observe strictly
2788 sequential dependencies of definitions within a single 'constdefs'
2789 section; moreover, the declared name needs to be an identifier. If
2790 all fails, consider to fall back on 'consts' and 'defs' separately.
2792 * Improved indexed syntax and implicit structures. First of all,
2793 indexed syntax provides a notational device for subscripted
2794 application, using the new syntax \<^bsub>term\<^esub> for arbitrary
2795 expressions. Secondly, in a local context with structure
2796 declarations, number indexes \<^sub>n or the empty index (default
2797 number 1) refer to a certain fixed variable implicitly; option
2798 show_structs controls printing of implicit structures. Typical
2799 applications of these concepts involve record types and locales.
2801 * New command 'no_syntax' removes grammar declarations (and
2802 translations) resulting from the given syntax specification, which is
2803 interpreted in the same manner as for the 'syntax' command.
2805 * 'Advanced' translation functions (parse_translation etc.) may depend
2806 on the signature of the theory context being presently used for
2807 parsing/printing, see also isar-ref manual.
2809 * Improved 'oracle' command provides a type-safe interface to turn an
2810 ML expression of type theory -> T -> term into a primitive rule of
2811 type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle
2812 is already included here); see also FOL/ex/IffExample.thy;
2815 * axclass: name space prefix for class "c" is now "c_class" (was "c"
2816 before); "cI" is no longer bound, use "c.intro" instead.
2817 INCOMPATIBILITY. This change avoids clashes of fact bindings for
2818 axclasses vs. locales.
2820 * Improved internal renaming of symbolic identifiers -- attach primes
2821 instead of base 26 numbers.
2823 * New flag show_question_marks controls printing of leading question
2824 marks in schematic variable names.
2826 * In schematic variable names, *any* symbol following \<^isub> or
2827 \<^isup> is now treated as part of the base name. For example, the
2828 following works without printing of awkward ".0" indexes:
2830 lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"
2833 * Inner syntax includes (*(*nested*) comments*).
2835 * Pretty printer now supports unbreakable blocks, specified in mixfix
2836 annotations as "(00...)".
2838 * Clear separation of logical types and nonterminals, where the latter
2839 may only occur in 'syntax' specifications or type abbreviations.
2840 Before that distinction was only partially implemented via type class
2841 "logic" vs. "{}". Potential INCOMPATIBILITY in rare cases of improper
2842 use of 'types'/'consts' instead of 'nonterminals'/'syntax'. Some very
2843 exotic syntax specifications may require further adaption
2844 (e.g. Cube/Cube.thy).
2846 * Removed obsolete type class "logic", use the top sort {} instead.
2847 Note that non-logical types should be declared as 'nonterminals'
2848 rather than 'types'. INCOMPATIBILITY for new object-logic
2851 * Attributes 'induct' and 'cases': type or set names may now be
2852 locally fixed variables as well.
2854 * Simplifier: can now control the depth to which conditional rewriting
2855 is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth
2858 * Simplifier: simplification procedures may now take the current
2859 simpset into account (cf. Simplifier.simproc(_i) / mk_simproc
2860 interface), which is very useful for calling the Simplifier
2861 recursively. Minor INCOMPATIBILITY: the 'prems' argument of simprocs
2862 is gone -- use prems_of_ss on the simpset instead. Moreover, the
2863 low-level mk_simproc no longer applies Logic.varify internally, to
2864 allow for use in a context of fixed variables.
2866 * thin_tac now works even if the assumption being deleted contains !!
2867 or ==>. More generally, erule now works even if the major premise of
2868 the elimination rule contains !! or ==>.
2870 * Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.
2872 * Reorganized bootstrapping of the Pure theories; CPure is now derived
2873 from Pure, which contains all common declarations already. Both
2874 theories are defined via plain Isabelle/Isar .thy files.
2875 INCOMPATIBILITY: elements of CPure (such as the CPure.intro /
2876 CPure.elim / CPure.dest attributes) now appear in the Pure name space;
2877 use isatool fixcpure to adapt your theory and ML sources.
2879 * New syntax 'name(i-j, i-, i, ...)' for referring to specific
2880 selections of theorems in named facts via index ranges.
2882 * 'print_theorems': in theory mode, really print the difference
2883 wrt. the last state (works for interactive theory development only),
2884 in proof mode print all local facts (cf. 'print_facts');
2886 * 'hide': option '(open)' hides only base names.
2888 * More efficient treatment of intermediate checkpoints in interactive
2891 * Code generator is now invoked via code_module (incremental code
2892 generation) and code_library (modular code generation, ML structures
2893 for each theory). INCOMPATIBILITY: new keywords 'file' and 'contains'
2894 must be quoted when used as identifiers.
2896 * New 'value' command for reading, evaluating and printing terms using
2897 the code generator. INCOMPATIBILITY: command keyword 'value' must be
2898 quoted when used as identifier.
2903 * New commands for the interpretation of locale expressions in
2904 theories (1), locales (2) and proof contexts (3). These generate
2905 proof obligations from the expression specification. After the
2906 obligations have been discharged, theorems of the expression are added
2907 to the theory, target locale or proof context. The synopsis of the
2908 commands is a follows:
2910 (1) interpretation expr inst
2911 (2) interpretation target < expr
2912 (3) interpret expr inst
2914 Interpretation in theories and proof contexts require a parameter
2915 instantiation of terms from the current context. This is applied to
2916 specifications and theorems of the interpreted expression.
2917 Interpretation in locales only permits parameter renaming through the
2918 locale expression. Interpretation is smart in that interpretations
2919 that are active already do not occur in proof obligations, neither are
2920 instantiated theorems stored in duplicate. Use 'print_interps' to
2921 inspect active interpretations of a particular locale. For details,
2922 see the Isar Reference manual. Examples can be found in
2923 HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.
2925 INCOMPATIBILITY: former 'instantiate' has been withdrawn, use
2926 'interpret' instead.
2928 * New context element 'constrains' for adding type constraints to
2931 * Context expressions: renaming of parameters with syntax
2934 * Locale declaration: 'includes' disallowed.
2936 * Proper static binding of attribute syntax -- i.e. types / terms /
2937 facts mentioned as arguments are always those of the locale definition
2938 context, independently of the context of later invocations. Moreover,
2939 locale operations (renaming and type / term instantiation) are applied
2940 to attribute arguments as expected.
2942 INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of
2943 actual attributes; rare situations may require Attrib.attribute to
2944 embed those attributes into Attrib.src that lack concrete syntax.
2945 Attribute implementations need to cooperate properly with the static
2946 binding mechanism. Basic parsers Args.XXX_typ/term/prop and
2947 Attrib.XXX_thm etc. already do the right thing without further
2948 intervention. Only unusual applications -- such as "where" or "of"
2949 (cf. src/Pure/Isar/attrib.ML), which process arguments depending both
2950 on the context and the facts involved -- may have to assign parsed
2951 values to argument tokens explicitly.
2953 * Changed parameter management in theorem generation for long goal
2954 statements with 'includes'. INCOMPATIBILITY: produces a different
2955 theorem statement in rare situations.
2957 * Locale inspection command 'print_locale' omits notes elements. Use
2958 'print_locale!' to have them included in the output.
2963 * Provers/hypsubst.ML: improved version of the subst method, for
2964 single-step rewriting: it now works in bound variable contexts. New is
2965 'subst (asm)', for rewriting an assumption. INCOMPATIBILITY: may
2966 rewrite a different subterm than the original subst method, which is
2967 still available as 'simplesubst'.
2969 * Provers/quasi.ML: new transitivity reasoners for transitivity only
2972 * Provers/trancl.ML: new transitivity reasoner for transitive and
2973 reflexive-transitive closure of relations.
2975 * Provers/blast.ML: new reference depth_limit to make blast's depth
2976 limit (previously hard-coded with a value of 20) user-definable.
2978 * Provers/simplifier.ML has been moved to Pure, where Simplifier.setup
2979 is peformed already. Object-logics merely need to finish their
2980 initial simpset configuration as before. INCOMPATIBILITY.
2985 * Symbolic syntax of Hilbert Choice Operator is now as follows:
2988 "_Eps" :: "[pttrn, bool] => 'a" ("(3\<some>_./ _)" [0, 10] 10)
2990 The symbol \<some> is displayed as the alternative epsilon of LaTeX
2991 and x-symbol; use option '-m epsilon' to get it actually printed.
2992 Moreover, the mathematically important symbolic identifier \<epsilon>
2993 becomes available as variable, constant etc. INCOMPATIBILITY,
2995 * "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".
2996 Similarly for all quantifiers: "ALL x > y" etc. The x-symbol for >=
2997 is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to
2998 support corresponding Isar calculations.
3000 * "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"
3003 * theory SetInterval: changed the syntax for open intervals:
3012 The old syntax is still supported but will disappear in the next
3013 release. For conversion use the following Emacs search and replace
3014 patterns (these are not perfect but work quite well):
3016 {)\([^\.]*\)\.\. -> {\1<\.\.}
3017 \.\.\([^(}]*\)(} -> \.\.<\1}
3019 * Theory Commutative_Ring (in Library): method comm_ring for proving
3020 equalities in commutative rings; method 'algebra' provides a generic
3023 * Theory Finite_Set: changed the syntax for 'setsum', summation over
3024 finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is
3025 now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can
3028 Some new syntax forms are available:
3030 "\<Sum>x | P. e" for "setsum (%x. e) {x. P}"
3031 "\<Sum>x = a..b. e" for "setsum (%x. e) {a..b}"
3032 "\<Sum>x = a..<b. e" for "setsum (%x. e) {a..<b}"
3033 "\<Sum>x < k. e" for "setsum (%x. e) {..<k}"
3035 The latter form "\<Sum>x < k. e" used to be based on a separate
3036 function "Summation", which has been discontinued.
3038 * theory Finite_Set: in structured induction proofs, the insert case
3039 is now 'case (insert x F)' instead of the old counterintuitive 'case
3042 * The 'refute' command has been extended to support a much larger
3043 fragment of HOL, including axiomatic type classes, constdefs and
3044 typedefs, inductive datatypes and recursion.
3046 * New tactics 'sat' and 'satx' to prove propositional tautologies.
3047 Requires zChaff with proof generation to be installed. See
3048 HOL/ex/SAT_Examples.thy for examples.
3050 * Datatype induction via method 'induct' now preserves the name of the
3051 induction variable. For example, when proving P(xs::'a list) by
3052 induction on xs, the induction step is now P(xs) ==> P(a#xs) rather
3053 than P(list) ==> P(a#list) as previously. Potential INCOMPATIBILITY
3054 in unstructured proof scripts.
3056 * Reworked implementation of records. Improved scalability for
3057 records with many fields, avoiding performance problems for type
3058 inference. Records are no longer composed of nested field types, but
3059 of nested extension types. Therefore the record type only grows linear
3060 in the number of extensions and not in the number of fields. The
3061 top-level (users) view on records is preserved. Potential
3062 INCOMPATIBILITY only in strange cases, where the theory depends on the
3063 old record representation. The type generated for a record is called
3064 <record_name>_ext_type.
3066 Flag record_quick_and_dirty_sensitive can be enabled to skip the
3067 proofs triggered by a record definition or a simproc (if
3068 quick_and_dirty is enabled). Definitions of large records can take
3071 New simproc record_upd_simproc for simplification of multiple record
3072 updates enabled by default. Moreover, trivial updates are also
3073 removed: r(|x := x r|) = r. INCOMPATIBILITY: old proofs break
3074 occasionally, since simplification is more powerful by default.
3076 * typedef: proper support for polymorphic sets, which contain extra
3077 type-variables in the term.
3079 * Simplifier: automatically reasons about transitivity chains
3080 involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics
3081 provided by Provers/trancl.ML as additional solvers. INCOMPATIBILITY:
3082 old proofs break occasionally as simplification may now solve more
3083 goals than previously.
3085 * Simplifier: converts x <= y into x = y if assumption y <= x is
3086 present. Works for all partial orders (class "order"), in particular
3087 numbers and sets. For linear orders (e.g. numbers) it treats ~ x < y
3090 * Simplifier: new simproc for "let x = a in f x". If a is a free or
3091 bound variable or a constant then the let is unfolded. Otherwise
3092 first a is simplified to b, and then f b is simplified to g. If
3093 possible we abstract b from g arriving at "let x = b in h x",
3094 otherwise we unfold the let and arrive at g. The simproc can be
3095 enabled/disabled by the reference use_let_simproc. Potential
3096 INCOMPATIBILITY since simplification is more powerful by default.
3098 * Classical reasoning: the meson method now accepts theorems as arguments.
3100 * Prover support: pre-release of the Isabelle-ATP linkup, which runs background
3101 jobs to provide advice on the provability of subgoals.
3103 * Theory OrderedGroup and Ring_and_Field: various additions and
3104 improvements to faciliate calculations involving equalities and
3107 The following theorems have been eliminated or modified
3110 abs_eq now named abs_of_nonneg
3111 abs_of_ge_0 now named abs_of_nonneg
3112 abs_minus_eq now named abs_of_nonpos
3113 imp_abs_id now named abs_of_nonneg
3114 imp_abs_neg_id now named abs_of_nonpos
3115 mult_pos now named mult_pos_pos
3116 mult_pos_le now named mult_nonneg_nonneg
3117 mult_pos_neg_le now named mult_nonneg_nonpos
3118 mult_pos_neg2_le now named mult_nonneg_nonpos2
3119 mult_neg now named mult_neg_neg
3120 mult_neg_le now named mult_nonpos_nonpos
3122 * The following lemmas in Ring_and_Field have been added to the simplifier:
3125 not_square_less_zero
3127 The following lemmas have been deleted from Real/RealPow:
3137 * Theory Parity: added rules for simplifying exponents.
3141 The following theorems have been eliminated or modified
3144 list_all_Nil now named list_all.simps(1)
3145 list_all_Cons now named list_all.simps(2)
3146 list_all_conv now named list_all_iff
3147 set_mem_eq now named mem_iff
3149 * Theories SetsAndFunctions and BigO (see HOL/Library) support
3150 asymptotic "big O" calculations. See the notes in BigO.thy.
3155 * Theory RealDef: better support for embedding natural numbers and
3156 integers in the reals.
3158 The following theorems have been eliminated or modified
3161 exp_ge_add_one_self now requires no hypotheses
3162 real_of_int_add reversed direction of equality (use [symmetric])
3163 real_of_int_minus reversed direction of equality (use [symmetric])
3164 real_of_int_diff reversed direction of equality (use [symmetric])
3165 real_of_int_mult reversed direction of equality (use [symmetric])
3167 * Theory RComplete: expanded support for floor and ceiling functions.
3169 * Theory Ln is new, with properties of the natural logarithm
3171 * Hyperreal: There is a new type constructor "star" for making
3172 nonstandard types. The old type names are now type synonyms:
3176 hcomplex = complex star
3178 * Hyperreal: Many groups of similarly-defined constants have been
3179 replaced by polymorphic versions (INCOMPATIBILITY):
3181 star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex
3183 starset <-- starsetNat, starsetC
3184 *s* <-- *sNat*, *sc*
3185 starset_n <-- starsetNat_n, starsetC_n
3186 *sn* <-- *sNatn*, *scn*
3187 InternalSets <-- InternalNatSets, InternalCSets
3189 starfun <-- starfun{Nat,Nat2,C,RC,CR}
3190 *f* <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*
3191 starfun_n <-- starfun{Nat,Nat2,C,RC,CR}_n
3192 *fn* <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*
3193 InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs
3195 * Hyperreal: Many type-specific theorems have been removed in favor of
3196 theorems specific to various axiomatic type classes (INCOMPATIBILITY):
3198 add_commute <-- {hypreal,hypnat,hcomplex}_add_commute
3199 add_assoc <-- {hypreal,hypnat,hcomplex}_add_assocs
3200 OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left
3201 OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right
3202 right_minus <-- hypreal_add_minus
3203 left_minus <-- {hypreal,hcomplex}_add_minus_left
3204 mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute
3205 mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc
3206 mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left
3207 mult_1_right <-- hcomplex_mult_one_right
3208 mult_zero_left <-- hcomplex_mult_zero_left
3209 left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib
3210 right_distrib <-- hypnat_add_mult_distrib2
3211 zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one
3212 right_inverse <-- hypreal_mult_inverse
3213 left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left
3214 order_refl <-- {hypreal,hypnat}_le_refl
3215 order_trans <-- {hypreal,hypnat}_le_trans
3216 order_antisym <-- {hypreal,hypnat}_le_anti_sym
3217 order_less_le <-- {hypreal,hypnat}_less_le
3218 linorder_linear <-- {hypreal,hypnat}_le_linear
3219 add_left_mono <-- {hypreal,hypnat}_add_left_mono
3220 mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2
3221 add_nonneg_nonneg <-- hypreal_le_add_order
3223 * Hyperreal: Separate theorems having to do with type-specific
3224 versions of constants have been merged into theorems that apply to the
3225 new polymorphic constants (INCOMPATIBILITY):
3227 STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set
3228 STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set
3229 STAR_Un <-- {STAR,NatStar,STARC}_Un
3230 STAR_Int <-- {STAR,NatStar,STARC}_Int
3231 STAR_Compl <-- {STAR,NatStar,STARC}_Compl
3232 STAR_subset <-- {STAR,NatStar,STARC}_subset
3233 STAR_mem <-- {STAR,NatStar,STARC}_mem
3234 STAR_mem_Compl <-- {STAR,STARC}_mem_Compl
3235 STAR_diff <-- {STAR,STARC}_diff
3236 STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,
3237 STARC_hcomplex_of_complex}_image_subset
3238 starset_n_Un <-- starset{Nat,C}_n_Un
3239 starset_n_Int <-- starset{Nat,C}_n_Int
3240 starset_n_Compl <-- starset{Nat,C}_n_Compl
3241 starset_n_diff <-- starset{Nat,C}_n_diff
3242 InternalSets_Un <-- Internal{Nat,C}Sets_Un
3243 InternalSets_Int <-- Internal{Nat,C}Sets_Int
3244 InternalSets_Compl <-- Internal{Nat,C}Sets_Compl
3245 InternalSets_diff <-- Internal{Nat,C}Sets_diff
3246 InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff
3247 InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n
3248 starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq
3249 starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}
3250 starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}
3251 starfun <-- starfun{Nat,Nat2,C,RC,CR}
3252 starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult
3253 starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add
3254 starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus
3255 starfun_diff <-- starfun{C,RC,CR}_diff
3256 starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o
3257 starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2
3258 starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun
3259 starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse
3260 starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq
3261 starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff
3262 starfun_Id <-- starfunC_Id
3263 starfun_approx <-- starfun{Nat,CR}_approx
3264 starfun_capprox <-- starfun{C,RC}_capprox
3265 starfun_abs <-- starfunNat_rabs
3266 starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel
3267 starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2
3268 starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox
3269 starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox
3270 starfun_add_capprox <-- starfun{C,RC}_add_capprox
3271 starfun_add_approx <-- starfunCR_add_approx
3272 starfun_inverse_inverse <-- starfunC_inverse_inverse
3273 starfun_divide <-- starfun{C,CR,RC}_divide
3274 starfun_n <-- starfun{Nat,C}_n
3275 starfun_n_mult <-- starfun{Nat,C}_n_mult
3276 starfun_n_add <-- starfun{Nat,C}_n_add
3277 starfun_n_add_minus <-- starfunNat_n_add_minus
3278 starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun
3279 starfun_n_minus <-- starfun{Nat,C}_n_minus
3280 starfun_n_eq <-- starfun{Nat,C}_n_eq
3282 star_n_add <-- {hypreal,hypnat,hcomplex}_add
3283 star_n_minus <-- {hypreal,hcomplex}_minus
3284 star_n_diff <-- {hypreal,hcomplex}_diff
3285 star_n_mult <-- {hypreal,hcomplex}_mult
3286 star_n_inverse <-- {hypreal,hcomplex}_inverse
3287 star_n_le <-- {hypreal,hypnat}_le
3288 star_n_less <-- {hypreal,hypnat}_less
3289 star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num
3290 star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num
3291 star_n_abs <-- hypreal_hrabs
3292 star_n_divide <-- hcomplex_divide
3294 star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add
3295 star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus
3296 star_of_diff <-- hypreal_of_real_diff
3297 star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult
3298 star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one
3299 star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero
3300 star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff
3301 star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff
3302 star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff
3303 star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse
3304 star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide
3305 star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat
3306 star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int
3307 star_of_number_of <-- {hypreal,hcomplex}_number_of
3308 star_of_number_less <-- number_of_less_hypreal_of_real_iff
3309 star_of_number_le <-- number_of_le_hypreal_of_real_iff
3310 star_of_eq_number <-- hypreal_of_real_eq_number_of_iff
3311 star_of_less_number <-- hypreal_of_real_less_number_of_iff
3312 star_of_le_number <-- hypreal_of_real_le_number_of_iff
3313 star_of_power <-- hypreal_of_real_power
3314 star_of_eq_0 <-- hcomplex_of_complex_zero_iff
3316 * Hyperreal: new method "transfer" that implements the transfer
3317 principle of nonstandard analysis. With a subgoal that mentions
3318 nonstandard types like "'a star", the command "apply transfer"
3319 replaces it with an equivalent one that mentions only standard types.
3320 To be successful, all free variables must have standard types; non-
3321 standard variables must have explicit universal quantifiers.
3323 * Hyperreal: A theory of Taylor series.
3328 * Discontinued special version of 'constdefs' (which used to support
3329 continuous functions) in favor of the general Pure one with full
3332 * New simplification procedure for solving continuity conditions; it
3333 is much faster on terms with many nested lambda abstractions (cubic
3334 instead of exponential time).
3336 * New syntax for domain package: selector names are now optional.
3337 Parentheses should be omitted unless argument is lazy, for example:
3339 domain 'a stream = cons "'a" (lazy "'a stream")
3341 * New command 'fixrec' for defining recursive functions with pattern
3342 matching; defining multiple functions with mutual recursion is also
3343 supported. Patterns may include the constants cpair, spair, up, sinl,
3344 sinr, or any data constructor defined by the domain package. The given
3345 equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for
3346 syntax and examples.
3348 * New commands 'cpodef' and 'pcpodef' for defining predicate subtypes
3349 of cpo and pcpo types. Syntax is exactly like the 'typedef' command,
3350 but the proof obligation additionally includes an admissibility
3351 requirement. The packages generate instances of class cpo or pcpo,
3352 with continuity and strictness theorems for Rep and Abs.
3354 * HOLCF: Many theorems have been renamed according to a more standard naming
3355 scheme (INCOMPATIBILITY):
3357 foo_inject: "foo$x = foo$y ==> x = y"
3358 foo_eq: "(foo$x = foo$y) = (x = y)"
3359 foo_less: "(foo$x << foo$y) = (x << y)"
3360 foo_strict: "foo$UU = UU"
3361 foo_defined: "... ==> foo$x ~= UU"
3362 foo_defined_iff: "(foo$x = UU) = (x = UU)"
3367 * ZF/ex: theories Group and Ring provide examples in abstract algebra,
3368 including the First Isomorphism Theorem (on quotienting by the kernel
3371 * ZF/Simplifier: install second copy of type solver that actually
3372 makes use of TC rules declared to Isar proof contexts (or locales);
3373 the old version is still required for ML proof scripts.
3378 * Converted to Isar theory format; use locales instead of axiomatic
3384 * Pure/library.ML: added ##>, ##>>, #>> -- higher-order counterparts
3387 * Pure/library.ML no longer defines its own option datatype, but uses
3388 that of the SML basis, which has constructors NONE and SOME instead of
3389 None and Some, as well as exception Option.Option instead of OPTION.
3390 The functions the, if_none, is_some, is_none have been adapted
3391 accordingly, while Option.map replaces apsome.
3393 * Pure/library.ML: the exception LIST has been given up in favour of
3394 the standard exceptions Empty and Subscript, as well as
3395 Library.UnequalLengths. Function like Library.hd and Library.tl are
3396 superceded by the standard hd and tl functions etc.
3398 A number of basic list functions are no longer exported to the ML
3399 toplevel, as they are variants of predefined functions. The following
3400 suggests how one can translate existing code:
3402 rev_append xs ys = List.revAppend (xs, ys)
3403 nth_elem (i, xs) = List.nth (xs, i)
3404 last_elem xs = List.last xs
3405 flat xss = List.concat xss
3406 seq fs = List.app fs
3407 partition P xs = List.partition P xs
3408 mapfilter f xs = List.mapPartial f xs
3410 * Pure/library.ML: several combinators for linear functional
3411 transformations, notably reverse application and composition:
3414 (x, y) |-> f f #-> g
3416 * Pure/library.ML: introduced/changed precedence of infix operators:
3418 infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
3420 infix 3 o oo ooo oooo;
3421 infix 4 ~~ upto downto;
3423 Maybe INCOMPATIBILITY when any of those is used in conjunction with other
3426 * Pure/library.ML: natural list combinators fold, fold_rev, and
3427 fold_map support linear functional transformations and nesting. For
3430 fold f [x1, ..., xN] y =
3431 y |> f x1 |> ... |> f xN
3433 (fold o fold) f [xs1, ..., xsN] y =
3434 y |> fold f xs1 |> ... |> fold f xsN
3436 fold f [x1, ..., xN] =
3439 (fold o fold) f [xs1, ..., xsN] =
3440 fold f xs1 #> ... #> fold f xsN
3442 * Pure/library.ML: the following selectors on type 'a option are
3445 the: 'a option -> 'a (*partial*)
3446 these: 'a option -> 'a where 'a = 'b list
3447 the_default: 'a -> 'a option -> 'a
3448 the_list: 'a option -> 'a list
3450 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
3451 basic operations for association lists, following natural argument
3452 order; moreover the explicit equality predicate passed here avoids
3453 potentially expensive polymorphic runtime equality checks.
3454 The old functions may be expressed as follows:
3456 assoc = uncurry (AList.lookup (op =))
3457 assocs = these oo AList.lookup (op =)
3458 overwrite = uncurry (AList.update (op =)) o swap
3460 * Pure/General: structure AList (cf. Pure/General/alist.ML) provides
3462 val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
3463 val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
3465 replacing make_keylist and keyfilter (occassionally used)
3468 make_keylist = AList.make
3469 keyfilter = AList.find (op =)
3471 * eq_fst and eq_snd now take explicit equality parameter, thus
3472 avoiding eqtypes. Naive rewrites:
3474 eq_fst = eq_fst (op =)
3475 eq_snd = eq_snd (op =)
3477 * Removed deprecated apl and apr (rarely used).
3480 apl (n, op) =>>= curry op n
3481 apr (op, m) =>>= fn n => op (n, m)
3483 * Pure/General: structure OrdList (cf. Pure/General/ord_list.ML)
3484 provides a reasonably efficient light-weight implementation of sets as
3487 * Pure/General: generic tables (cf. Pure/General/table.ML) provide a
3488 few new operations; existing lookup and update are now curried to
3489 follow natural argument order (for use with fold etc.);
3490 INCOMPATIBILITY, use (uncurry Symtab.lookup) etc. as last resort.
3492 * Pure/General: output via the Isabelle channels of
3493 writeln/warning/error etc. is now passed through Output.output, with a
3494 hook for arbitrary transformations depending on the print_mode
3495 (cf. Output.add_mode -- the first active mode that provides a output
3496 function wins). Already formatted output may be embedded into further
3497 text via Output.raw; the result of Pretty.string_of/str_of and derived
3498 functions (string_of_term/cterm/thm etc.) is already marked raw to
3499 accommodate easy composition of diagnostic messages etc. Programmers
3500 rarely need to care about Output.output or Output.raw at all, with
3501 some notable exceptions: Output.output is required when bypassing the
3502 standard channels (writeln etc.), or in token translations to produce
3503 properly formatted results; Output.raw is required when capturing
3504 already output material that will eventually be presented to the user
3505 a second time. For the default print mode, both Output.output and
3506 Output.raw have no effect.
3508 * Pure/General: Output.time_accumulator NAME creates an operator ('a
3509 -> 'b) -> 'a -> 'b to measure runtime and count invocations; the
3510 cumulative results are displayed at the end of a batch session.
3512 * Pure/General: File.sysify_path and File.quote_sysify path have been
3513 replaced by File.platform_path and File.shell_path (with appropriate
3514 hooks). This provides a clean interface for unusual systems where the
3515 internal and external process view of file names are different.
3517 * Pure: more efficient orders for basic syntactic entities: added
3518 fast_string_ord, fast_indexname_ord, fast_term_ord; changed sort_ord
3519 and typ_ord to use fast_string_ord and fast_indexname_ord (term_ord is
3520 NOT affected); structures Symtab, Vartab, Typtab, Termtab use the fast
3521 orders now -- potential INCOMPATIBILITY for code that depends on a
3522 particular order for Symtab.keys, Symtab.dest, etc. (consider using
3523 Library.sort_strings on result).
3525 * Pure/term.ML: combinators fold_atyps, fold_aterms, fold_term_types,
3526 fold_types traverse types/terms from left to right, observing natural
3527 argument order. Supercedes previous foldl_XXX versions, add_frees,
3528 add_vars etc. have been adapted as well: INCOMPATIBILITY.
3530 * Pure: name spaces have been refined, with significant changes of the
3531 internal interfaces -- INCOMPATIBILITY. Renamed cond_extern(_table)
3532 to extern(_table). The plain name entry path is superceded by a
3533 general 'naming' context, which also includes the 'policy' to produce
3534 a fully qualified name and external accesses of a fully qualified
3535 name; NameSpace.extend is superceded by context dependent
3536 Sign.declare_name. Several theory and proof context operations modify
3537 the naming context. Especially note Theory.restore_naming and
3538 ProofContext.restore_naming to get back to a sane state; note that
3539 Theory.add_path is no longer sufficient to recover from
3540 Theory.absolute_path in particular.
3542 * Pure: new flags short_names (default false) and unique_names
3543 (default true) for controlling output of qualified names. If
3544 short_names is set, names are printed unqualified. If unique_names is
3545 reset, the name prefix is reduced to the minimum required to achieve
3546 the original result when interning again, even if there is an overlap
3547 with earlier declarations.
3549 * Pure/TheoryDataFun: change of the argument structure; 'prep_ext' is
3550 now 'extend', and 'merge' gets an additional Pretty.pp argument
3551 (useful for printing error messages). INCOMPATIBILITY.
3553 * Pure: major reorganization of the theory context. Type Sign.sg and
3554 Theory.theory are now identified, referring to the universal
3555 Context.theory (see Pure/context.ML). Actual signature and theory
3556 content is managed as theory data. The old code and interfaces were
3557 spread over many files and structures; the new arrangement introduces
3558 considerable INCOMPATIBILITY to gain more clarity:
3560 Context -- theory management operations (name, identity, inclusion,
3561 parents, ancestors, merge, etc.), plus generic theory data;
3563 Sign -- logical signature and syntax operations (declaring consts,
3564 types, etc.), plus certify/read for common entities;
3566 Theory -- logical theory operations (stating axioms, definitions,
3567 oracles), plus a copy of logical signature operations (consts,
3568 types, etc.); also a few basic management operations (Theory.copy,
3571 The most basic sign_of operations (Theory.sign_of, Thm.sign_of_thm
3572 etc.) as well as the sign field in Thm.rep_thm etc. have been retained
3573 for convenience -- they merely return the theory.
3575 * Pure: type Type.tsig is superceded by theory in most interfaces.
3577 * Pure: the Isar proof context type is already defined early in Pure
3578 as Context.proof (note that ProofContext.context and Proof.context are
3579 aliases, where the latter is the preferred name). This enables other
3580 Isabelle components to refer to that type even before Isar is present.
3582 * Pure/sign/theory: discontinued named name spaces (i.e. classK,
3583 typeK, constK, axiomK, oracleK), but provide explicit operations for
3584 any of these kinds. For example, Sign.intern typeK is now
3585 Sign.intern_type, Theory.hide_space Sign.typeK is now
3586 Theory.hide_types. Also note that former
3587 Theory.hide_classes/types/consts are now
3588 Theory.hide_classes_i/types_i/consts_i, while the non '_i' versions
3589 internalize their arguments! INCOMPATIBILITY.
3591 * Pure: get_thm interface (of PureThy and ProofContext) expects
3592 datatype thmref (with constructors Name and NameSelection) instead of
3593 plain string -- INCOMPATIBILITY;
3595 * Pure: cases produced by proof methods specify options, where NONE
3596 means to remove case bindings -- INCOMPATIBILITY in
3599 * Pure: the following operations retrieve axioms or theorems from a
3600 theory node or theory hierarchy, respectively:
3602 Theory.axioms_of: theory -> (string * term) list
3603 Theory.all_axioms_of: theory -> (string * term) list
3604 PureThy.thms_of: theory -> (string * thm) list
3605 PureThy.all_thms_of: theory -> (string * thm) list
3607 * Pure: print_tac now outputs the goal through the trace channel.
3609 * Isar toplevel: improved diagnostics, mostly for Poly/ML only.
3610 Reference Toplevel.debug (default false) controls detailed printing
3611 and tracing of low-level exceptions; Toplevel.profiling (default 0)
3612 controls execution profiling -- set to 1 for time and 2 for space
3613 (both increase the runtime).
3615 * Isar session: The initial use of ROOT.ML is now always timed,
3616 i.e. the log will show the actual process times, in contrast to the
3617 elapsed wall-clock time that the outer shell wrapper produces.
3619 * Simplifier: improved handling of bound variables (nameless
3620 representation, avoid allocating new strings). Simprocs that invoke
3621 the Simplifier recursively should use Simplifier.inherit_bounds to
3622 avoid local name clashes. Failure to do so produces warnings
3623 "Simplifier: renamed bound variable ..."; set Simplifier.debug_bounds
3624 for further details.
3626 * ML functions legacy_bindings and use_legacy_bindings produce ML fact
3627 bindings for all theorems stored within a given theory; this may help
3628 in porting non-Isar theories to Isar ones, while keeping ML proof
3629 scripts for the time being.
3631 * ML operator HTML.with_charset specifies the charset begin used for
3632 generated HTML files. For example:
3634 HTML.with_charset "utf-8" use_thy "Hebrew";
3635 HTML.with_charset "utf-8" use_thy "Chinese";
3640 * Allow symlinks to all proper Isabelle executables (Isabelle,
3641 isabelle, isatool etc.).
3643 * ISABELLE_DOC_FORMAT setting specifies preferred document format (for
3644 isatool doc, isatool mkdir, display_drafts etc.).
3646 * isatool usedir: option -f allows specification of the ML file to be
3647 used by Isabelle; default is ROOT.ML.
3649 * New isatool version outputs the version identifier of the Isabelle
3650 distribution being used.
3652 * HOL: new isatool dimacs2hol converts files in DIMACS CNF format
3653 (containing Boolean satisfiability problems) into Isabelle/HOL
3658 New in Isabelle2004 (April 2004)
3659 --------------------------------
3663 * Provers/order.ML: new efficient reasoner for partial and linear orders.
3664 Replaces linorder.ML.
3666 * Pure: Greek letters (except small lambda, \<lambda>), as well as Gothic
3667 (\<aa>...\<zz>\<AA>...\<ZZ>), calligraphic (\<A>...\<Z>), and Euler
3668 (\<a>...\<z>), are now considered normal letters, and can therefore
3669 be used anywhere where an ASCII letter (a...zA...Z) has until
3670 now. COMPATIBILITY: This obviously changes the parsing of some
3671 terms, especially where a symbol has been used as a binder, say
3672 '\<Pi>x. ...', which is now a type error since \<Pi>x will be parsed
3673 as an identifier. Fix it by inserting a space around former
3674 symbols. Call 'isatool fixgreek' to try to fix parsing errors in
3675 existing theory and ML files.
3677 * Pure: Macintosh and Windows line-breaks are now allowed in theory files.
3679 * Pure: single letter sub/superscripts (\<^isub> and \<^isup>) are now
3680 allowed in identifiers. Similar to Greek letters \<^isub> is now considered
3681 a normal (but invisible) letter. For multiple letter subscripts repeat
3682 \<^isub> like this: x\<^isub>1\<^isub>2.
3684 * Pure: There are now sub-/superscripts that can span more than one
3685 character. Text between \<^bsub> and \<^esub> is set in subscript in
3686 ProofGeneral and LaTeX, text between \<^bsup> and \<^esup> in
3687 superscript. The new control characters are not identifier parts.
3689 * Pure: Control-symbols of the form \<^raw:...> will literally print the
3690 content of "..." to the latex file instead of \isacntrl... . The "..."
3691 may consist of any printable characters excluding the end bracket >.
3693 * Pure: Using new Isar command "finalconsts" (or the ML functions
3694 Theory.add_finals or Theory.add_finals_i) it is now possible to
3695 declare constants "final", which prevents their being given a definition
3696 later. It is useful for constants whose behaviour is fixed axiomatically
3697 rather than definitionally, such as the meta-logic connectives.
3699 * Pure: 'instance' now handles general arities with general sorts
3700 (i.e. intersections of classes),
3702 * Presentation: generated HTML now uses a CSS style sheet to make layout
3703 (somewhat) independent of content. It is copied from lib/html/isabelle.css.
3704 It can be changed to alter the colors/layout of generated pages.
3709 * Tactic emulation methods rule_tac, erule_tac, drule_tac, frule_tac,
3710 cut_tac, subgoal_tac and thin_tac:
3711 - Now understand static (Isar) contexts. As a consequence, users of Isar
3712 locales are no longer forced to write Isar proof scripts.
3713 For details see Isar Reference Manual, paragraph 4.3.2: Further tactic
3715 - INCOMPATIBILITY: names of variables to be instantiated may no
3716 longer be enclosed in quotes. Instead, precede variable name with `?'.
3717 This is consistent with the instantiation attribute "where".
3719 * Attributes "where" and "of":
3720 - Now take type variables of instantiated theorem into account when reading
3721 the instantiation string. This fixes a bug that caused instantiated
3722 theorems to have too special types in some circumstances.
3723 - "where" permits explicit instantiations of type variables.
3725 * Calculation commands "moreover" and "also" no longer interfere with
3726 current facts ("this"), admitting arbitrary combinations with "then"
3730 - Goal statements involving the context element "includes" no longer
3731 generate theorems with internal delta predicates (those ending on
3732 "_axioms") in the premise.
3733 Resolve particular premise with <locale>.intro to obtain old form.
3734 - Fixed bug in type inference ("unify_frozen") that prevented mix of target
3735 specification and "includes" elements in goal statement.
3736 - Rule sets <locale>.intro and <locale>.axioms no longer declared as
3737 [intro?] and [elim?] (respectively) by default.
3738 - Experimental command for instantiation of locales in proof contexts:
3739 instantiate <label>[<attrs>]: <loc>
3740 Instantiates locale <loc> and adds all its theorems to the current context
3741 taking into account their attributes. Label and attrs are optional
3742 modifiers, like in theorem declarations. If present, names of
3743 instantiated theorems are qualified with <label>, and the attributes
3744 <attrs> are applied after any attributes these theorems might have already.
3745 If the locale has assumptions, a chained fact of the form
3746 "<loc> t1 ... tn" is expected from which instantiations of the parameters
3747 are derived. The command does not support old-style locales declared
3748 with "locale (open)".
3749 A few (very simple) examples can be found in FOL/ex/LocaleInst.thy.
3751 * HOL: Tactic emulation methods induct_tac and case_tac understand static
3757 * Proof import: new image HOL4 contains the imported library from
3758 the HOL4 system with about 2500 theorems. It is imported by
3759 replaying proof terms produced by HOL4 in Isabelle. The HOL4 image
3760 can be used like any other Isabelle image. See
3761 HOL/Import/HOL/README for more information.
3764 - Much improved handling of linear and partial orders.
3765 Reasoners for linear and partial orders are set up for type classes
3766 "linorder" and "order" respectively, and are added to the default simpset
3767 as solvers. This means that the simplifier can build transitivity chains
3768 to solve goals from the assumptions.
3769 - INCOMPATIBILITY: old proofs break occasionally. Typically, applications
3770 of blast or auto after simplification become unnecessary because the goal
3771 is solved by simplification already.
3773 * Numerics: new theory Ring_and_Field contains over 250 basic numerical laws,
3774 all proved in axiomatic type classes for semirings, rings and fields.
3777 - Numeric types (nat, int, and in HOL-Complex rat, real, complex, etc.) are
3778 now formalized using the Ring_and_Field theory mentioned above.
3779 - INCOMPATIBILITY: simplification and arithmetic behaves somewhat differently
3780 than before, because now they are set up once in a generic manner.
3781 - INCOMPATIBILITY: many type-specific arithmetic laws have gone.
3782 Look for the general versions in Ring_and_Field (and Power if they concern
3785 * Type "rat" of the rational numbers is now available in HOL-Complex.
3788 - Record types are now by default printed with their type abbreviation
3789 instead of the list of all field types. This can be configured via
3790 the reference "print_record_type_abbr".
3791 - Simproc "record_upd_simproc" for simplification of multiple updates added
3792 (not enabled by default).
3793 - Simproc "record_ex_sel_eq_simproc" to simplify EX x. sel r = x resp.
3794 EX x. x = sel r to True (not enabled by default).
3795 - Tactic "record_split_simp_tac" to split and simplify records added.
3797 * 'specification' command added, allowing for definition by
3798 specification. There is also an 'ax_specification' command that
3799 introduces the new constants axiomatically.
3801 * arith(_tac) is now able to generate counterexamples for reals as well.
3803 * HOL-Algebra: new locale "ring" for non-commutative rings.
3805 * HOL-ex: InductiveInvariant_examples illustrates advanced recursive function
3806 definitions, thanks to Sava Krsti\'{c} and John Matthews.
3808 * HOL-Matrix: a first theory for matrices in HOL with an application of
3809 matrix theory to linear programming.
3811 * Unions and Intersections:
3812 The latex output syntax of UN and INT has been changed
3813 from "\Union x \in A. B" to "\Union_{x \in A} B"
3814 i.e. the index formulae has become a subscript.
3815 Similarly for "\Union x. B", and for \Inter instead of \Union.
3817 * Unions and Intersections over Intervals:
3818 There is new short syntax "UN i<=n. A" for "UN i:{0..n}. A". There is
3819 also an x-symbol version with subscripts "\<Union>\<^bsub>i <= n\<^esub>. A"
3820 like in normal math, and corresponding versions for < and for intersection.
3822 * HOL/List: Ordering "lexico" is renamed "lenlex" and the standard
3823 lexicographic dictonary ordering has been added as "lexord".
3825 * ML: the legacy theory structures Int and List have been removed. They had
3826 conflicted with ML Basis Library structures having the same names.
3828 * 'refute' command added to search for (finite) countermodels. Only works
3829 for a fragment of HOL. The installation of an external SAT solver is
3830 highly recommended. See "HOL/Refute.thy" for details.
3832 * 'quickcheck' command: Allows to find counterexamples by evaluating
3833 formulae under an assignment of free variables to random values.
3834 In contrast to 'refute', it can deal with inductive datatypes,
3835 but cannot handle quantifiers. See "HOL/ex/Quickcheck_Examples.thy"
3841 * Streams now come with concatenation and are part of the HOLCF image
3845 New in Isabelle2003 (May 2003)
3846 ------------------------------
3850 * Provers/simplifier:
3852 - Completely reimplemented method simp (ML: Asm_full_simp_tac):
3853 Assumptions are now subject to complete mutual simplification,
3854 not just from left to right. The simplifier now preserves
3855 the order of assumptions.
3857 Potential INCOMPATIBILITY:
3859 -- simp sometimes diverges where the old version did
3860 not, e.g. invoking simp on the goal
3862 [| P (f x); y = x; f x = f y |] ==> Q
3864 now gives rise to the infinite reduction sequence
3866 P(f x) --(f x = f y)--> P(f y) --(y = x)--> P(f x) --(f x = f y)--> ...
3868 Using "simp (asm_lr)" (ML: Asm_lr_simp_tac) instead often solves this
3871 -- Tactics combining classical reasoner and simplification (such as auto)
3872 are also affected by this change, because many of them rely on
3873 simp. They may sometimes diverge as well or yield a different numbers
3874 of subgoals. Try to use e.g. force, fastsimp, or safe instead of auto
3875 in case of problems. Sometimes subsequent calls to the classical
3876 reasoner will fail because a preceeding call to the simplifier too
3877 eagerly simplified the goal, e.g. deleted redundant premises.
3879 - The simplifier trace now shows the names of the applied rewrite rules
3881 - You can limit the number of recursive invocations of the simplifier
3882 during conditional rewriting (where the simplifie tries to solve the
3883 conditions before applying the rewrite rule):
3884 ML "simp_depth_limit := n"
3885 where n is an integer. Thus you can force termination where previously
3886 the simplifier would diverge.
3888 - Accepts free variables as head terms in congruence rules. Useful in Isar.
3890 - No longer aborts on failed congruence proof. Instead, the
3891 congruence is ignored.
3893 * Pure: New generic framework for extracting programs from constructive
3894 proofs. See HOL/Extraction.thy for an example instantiation, as well
3895 as HOL/Extraction for some case studies.
3897 * Pure: The main goal of the proof state is no longer shown by default, only
3898 the subgoals. This behaviour is controlled by a new flag.
3899 PG menu: Isabelle/Isar -> Settings -> Show Main Goal
3900 (ML: Proof.show_main_goal).
3902 * Pure: You can find all matching introduction rules for subgoal 1, i.e. all
3903 rules whose conclusion matches subgoal 1:
3904 PG menu: Isabelle/Isar -> Show me -> matching rules
3905 The rules are ordered by how closely they match the subgoal.
3906 In particular, rules that solve a subgoal outright are displayed first
3907 (or rather last, the way they are printed).
3908 (ML: ProofGeneral.print_intros())
3910 * Pure: New flag trace_unify_fail causes unification to print
3911 diagnostic information (PG: in trace buffer) when it fails. This is
3912 useful for figuring out why single step proofs like rule, erule or
3915 * Pure: Locale specifications now produce predicate definitions
3916 according to the body of text (covering assumptions modulo local
3917 definitions); predicate "loc_axioms" covers newly introduced text,
3918 while "loc" is cumulative wrt. all included locale expressions; the
3919 latter view is presented only on export into the global theory
3920 context; potential INCOMPATIBILITY, use "(open)" option to fall back
3921 on the old view without predicates;
3923 * Pure: predefined locales "var" and "struct" are useful for sharing
3924 parameters (as in CASL, for example); just specify something like
3925 ``var x + var y + struct M'' as import;
3927 * Pure: improved thms_containing: proper indexing of facts instead of
3928 raw theorems; check validity of results wrt. current name space;
3929 include local facts of proof configuration (also covers active
3930 locales), cover fixed variables in index; may use "_" in term
3931 specification; an optional limit for the number of printed facts may
3932 be given (the default is 40);
3934 * Pure: disallow duplicate fact bindings within new-style theory files
3937 * Provers: improved induct method: assumptions introduced by case
3938 "foo" are split into "foo.hyps" (from the rule) and "foo.prems" (from
3939 the goal statement); "foo" still refers to all facts collectively;
3941 * Provers: the function blast.overloaded has been removed: all constants
3942 are regarded as potentially overloaded, which improves robustness in exchange
3943 for slight decrease in efficiency;
3945 * Provers/linorder: New generic prover for transitivity reasoning over
3946 linear orders. Note: this prover is not efficient!
3948 * Isar: preview of problems to finish 'show' now produce an error
3949 rather than just a warning (in interactive mode);
3956 - Produces a counter example if it cannot prove a goal.
3957 Note that the counter example may be spurious if the goal is not a formula
3958 of quantifier-free linear arithmetic.
3959 In ProofGeneral the counter example appears in the trace buffer.
3961 - Knows about div k and mod k where k is a numeral of type nat or int.
3963 - Calls full Presburger arithmetic (by Amine Chaieb) if quantifier-free
3964 linear arithmetic fails. This takes account of quantifiers and divisibility.
3965 Presburger arithmetic can also be called explicitly via presburger(_tac).
3967 * simp's arithmetic capabilities have been enhanced a bit: it now
3968 takes ~= in premises into account (by performing a case split);
3970 * simp reduces "m*(n div m) + n mod m" to n, even if the two summands
3971 are distributed over a sum of terms;
3973 * New tactic "trans_tac" and method "trans" instantiate
3974 Provers/linorder.ML for axclasses "order" and "linorder" (predicates
3977 * function INCOMPATIBILITIES: Pi-sets have been redefined and moved from main
3978 HOL to Library/FuncSet; constant "Fun.op o" is now called "Fun.comp";
3980 * 'typedef' command has new option "open" to suppress the set
3983 * functions Min and Max on finite sets have been introduced (theory
3986 * attribute [symmetric] now works for relations as well; it turns
3987 (x,y) : R^-1 into (y,x) : R, and vice versa;
3989 * induct over a !!-quantified statement (say !!x1..xn):
3990 each "case" automatically performs "fix x1 .. xn" with exactly those names.
3992 * Map: `empty' is no longer a constant but a syntactic abbreviation for
3993 %x. None. Warning: empty_def now refers to the previously hidden definition
3996 * Algebra: formalization of classical algebra. Intended as base for
3997 any algebraic development in Isabelle. Currently covers group theory
3998 (up to Sylow's theorem) and ring theory (Universal Property of
3999 Univariate Polynomials). Contributions welcome;
4001 * GroupTheory: deleted, since its material has been moved to Algebra;
4003 * Complex: new directory of the complex numbers with numeric constants,
4004 nonstandard complex numbers, and some complex analysis, standard and
4005 nonstandard (Jacques Fleuriot);
4007 * HOL-Complex: new image for analysis, replacing HOL-Real and HOL-Hyperreal;
4009 * Hyperreal: introduced Gauge integration and hyperreal logarithms (Jacques
4012 * Real/HahnBanach: updated and adapted to locales;
4014 * NumberTheory: added Gauss's law of quadratic reciprocity (by Avigad,
4017 * UNITY: added the Meier-Sanders theory of progress sets;
4019 * MicroJava: bytecode verifier and lightweight bytecode verifier
4020 as abstract algorithms, instantiated to the JVM;
4022 * Bali: Java source language formalization. Type system, operational
4023 semantics, axiomatic semantics. Supported language features:
4024 classes, interfaces, objects,virtual methods, static methods,
4025 static/instance fields, arrays, access modifiers, definite
4026 assignment, exceptions.
4031 * ZF/Constructible: consistency proof for AC (Gdel's constructible
4034 * Main ZF: virtually all theories converted to new-style format;
4039 * Pure: Tactic.prove provides sane interface for internal proofs;
4040 omits the infamous "standard" operation, so this is more appropriate
4041 than prove_goalw_cterm in many situations (e.g. in simprocs);
4043 * Pure: improved error reporting of simprocs;
4045 * Provers: Simplifier.simproc(_i) provides sane interface for setting
4049 *** Document preparation ***
4051 * uses \par instead of \\ for line breaks in theory text. This may
4052 shift some page breaks in large documents. To get the old behaviour
4053 use \renewcommand{\isanewline}{\mbox{}\\\mbox{}} in root.tex.
4055 * minimized dependencies of isabelle.sty and isabellesym.sty on
4058 * \<euro> now needs package babel/greek instead of marvosym (which
4061 * normal size for \<zero>...\<nine> (uses \mathbf instead of
4066 New in Isabelle2002 (March 2002)
4067 --------------------------------
4069 *** Document preparation ***
4071 * greatly simplified document preparation setup, including more
4072 graceful interpretation of isatool usedir -i/-d/-D options, and more
4073 instructive isatool mkdir; users should basically be able to get
4074 started with "isatool mkdir HOL Test && isatool make"; alternatively,
4075 users may run a separate document processing stage manually like this:
4076 "isatool usedir -D output HOL Test && isatool document Test/output";
4078 * theory dependency graph may now be incorporated into documents;
4079 isatool usedir -g true will produce session_graph.eps/.pdf for use
4080 with \includegraphics of LaTeX;
4082 * proper spacing of consecutive markup elements, especially text
4083 blocks after section headings;
4085 * support bold style (for single symbols only), input syntax is like
4086 this: "\<^bold>\<alpha>" or "\<^bold>A";
4088 * \<bullet> is now output as bold \cdot by default, which looks much
4089 better in printed text;
4091 * added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
4092 note that these symbols are currently unavailable in Proof General /
4093 X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;
4095 * isatool latex no longer depends on changed TEXINPUTS, instead
4096 isatool document copies the Isabelle style files to the target
4102 * Pure/Provers: improved proof by cases and induction;
4103 - 'case' command admits impromptu naming of parameters (such as
4105 - 'induct' method divinates rule instantiation from the inductive
4106 claim; no longer requires excessive ?P bindings for proper
4107 instantiation of cases;
4108 - 'induct' method properly enumerates all possibilities of set/type
4109 rules; as a consequence facts may be also passed through *type*
4110 rules without further ado;
4111 - 'induct' method now derives symbolic cases from the *rulified*
4112 rule (before it used to rulify cases stemming from the internal
4113 atomized version); this means that the context of a non-atomic
4114 statement becomes is included in the hypothesis, avoiding the
4115 slightly cumbersome show "PROP ?case" form;
4116 - 'induct' may now use elim-style induction rules without chaining
4117 facts, using ``missing'' premises from the goal state; this allows
4118 rules stemming from inductive sets to be applied in unstructured
4119 scripts, while still benefitting from proper handling of non-atomic
4120 statements; NB: major inductive premises need to be put first, all
4121 the rest of the goal is passed through the induction;
4122 - 'induct' proper support for mutual induction involving non-atomic
4123 rule statements (uses the new concept of simultaneous goals, see
4125 - append all possible rule selections, but only use the first
4126 success (no backtracking);
4127 - removed obsolete "(simplified)" and "(stripped)" options of methods;
4128 - undeclared rule case names default to numbers 1, 2, 3, ...;
4129 - added 'print_induct_rules' (covered by help item in recent Proof
4131 - moved induct/cases attributes to Pure, methods to Provers;
4132 - generic method setup instantiated for FOL and HOL;
4134 * Pure: support multiple simultaneous goal statements, for example
4135 "have a: A and b: B" (same for 'theorem' etc.); being a pure
4136 meta-level mechanism, this acts as if several individual goals had
4137 been stated separately; in particular common proof methods need to be
4138 repeated in order to cover all claims; note that a single elimination
4139 step is *not* sufficient to establish the two conjunctions, so this
4142 assume "A & B" then have A and B .. (*".." fails*)
4144 better use "obtain" in situations as above; alternative refer to
4145 multi-step methods like 'auto', 'simp_all', 'blast+' etc.;
4147 * Pure: proper integration with ``locales''; unlike the original
4148 version by Florian Kammller, Isar locales package high-level proof
4149 contexts rather than raw logical ones (e.g. we admit to include
4150 attributes everywhere); operations on locales include merge and
4151 rename; support for implicit arguments (``structures''); simultaneous
4152 type-inference over imports and text; see also HOL/ex/Locales.thy for
4155 * Pure: the following commands have been ``localized'', supporting a
4156 target locale specification "(in name)": 'lemma', 'theorem',
4157 'corollary', 'lemmas', 'theorems', 'declare'; the results will be
4158 stored both within the locale and at the theory level (exported and
4159 qualified by the locale name);
4161 * Pure: theory goals may now be specified in ``long'' form, with
4162 ad-hoc contexts consisting of arbitrary locale elements. for example
4163 ``lemma foo: fixes x assumes "A x" shows "B x"'' (local syntax and
4164 definitions may be given, too); the result is a meta-level rule with
4165 the context elements being discharged in the obvious way;
4167 * Pure: new proof command 'using' allows to augment currently used
4168 facts after a goal statement ('using' is syntactically analogous to
4169 'apply', but acts on the goal's facts only); this allows chained facts
4170 to be separated into parts given before and after a claim, as in
4171 ``from a and b have C using d and e <proof>'';
4173 * Pure: renamed "antecedent" case to "rule_context";
4175 * Pure: new 'judgment' command records explicit information about the
4176 object-logic embedding (used by several tools internally); no longer
4177 use hard-wired "Trueprop";
4179 * Pure: added 'corollary' command;
4181 * Pure: fixed 'token_translation' command;
4183 * Pure: removed obsolete 'exported' attribute;
4185 * Pure: dummy pattern "_" in is/let is now automatically lifted over
4186 bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
4187 supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");
4189 * Pure: method 'atomize' presents local goal premises as object-level
4190 statements (atomic meta-level propositions); setup controlled via
4191 rewrite rules declarations of 'atomize' attribute; example
4192 application: 'induct' method with proper rule statements in improper
4195 * Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
4196 now consider the syntactic context of assumptions, giving a better
4197 chance to get type-inference of the arguments right (this is
4198 especially important for locales);
4200 * Pure: "sorry" no longer requires quick_and_dirty in interactive
4203 * Pure/obtain: the formal conclusion "thesis", being marked as
4204 ``internal'', may no longer be reference directly in the text;
4205 potential INCOMPATIBILITY, may need to use "?thesis" in rare
4208 * Pure: generic 'sym' attribute which declares a rule both as pure
4209 'elim?' and for the 'symmetric' operation;
4211 * Pure: marginal comments ``--'' may now occur just anywhere in the
4212 text; the fixed correlation with particular command syntax has been
4215 * Pure: new method 'rules' is particularly well-suited for proof
4216 search in intuitionistic logic; a bit slower than 'blast' or 'fast',
4217 but often produces more compact proof terms with less detours;
4219 * Pure/Provers/classical: simplified integration with pure rule
4220 attributes and methods; the classical "intro?/elim?/dest?"
4221 declarations coincide with the pure ones; the "rule" method no longer
4222 includes classically swapped intros; "intro" and "elim" methods no
4223 longer pick rules from the context; also got rid of ML declarations
4224 AddXIs/AddXEs/AddXDs; all of this has some potential for
4227 * Provers/classical: attribute 'swapped' produces classical inversions
4228 of introduction rules;
4230 * Provers/simplifier: 'simplified' attribute may refer to explicit
4231 rules instead of full simplifier context; 'iff' attribute handles
4234 * HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;
4236 * HOL: 'recdef' now fails on unfinished automated proofs, use
4237 "(permissive)" option to recover old behavior;
4239 * HOL: 'inductive' no longer features separate (collective) attributes
4240 for 'intros' (was found too confusing);
4242 * HOL: properly declared induction rules less_induct and
4248 * HOL: moved over to sane numeral syntax; the new policy is as
4251 - 0 and 1 are polymorphic constants, which are defined on any
4252 numeric type (nat, int, real etc.);
4254 - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
4255 binary representation internally;
4257 - type nat has special constructor Suc, and generally prefers Suc 0
4258 over 1::nat and Suc (Suc 0) over 2::nat;
4260 This change may cause significant problems of INCOMPATIBILITY; here
4261 are some hints on converting existing sources:
4263 - due to the new "num" token, "-0" and "-1" etc. are now atomic
4264 entities, so expressions involving "-" (unary or binary minus) need
4265 to be spaced properly;
4267 - existing occurrences of "1" may need to be constraint "1::nat" or
4268 even replaced by Suc 0; similar for old "2";
4270 - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";
4272 - remove all special provisions on numerals in proofs;
4274 * HOL: simp rules nat_number expand numerals on nat to Suc/0
4275 representation (depends on bin_arith_simps in the default context);
4277 * HOL: symbolic syntax for x^2 (numeral 2);
4279 * HOL: the class of all HOL types is now called "type" rather than
4280 "term"; INCOMPATIBILITY, need to adapt references to this type class
4281 in axclass/classes, instance/arities, and (usually rare) occurrences
4282 in typings (of consts etc.); internally the class is called
4283 "HOL.type", ML programs should refer to HOLogic.typeS;
4285 * HOL/record package improvements:
4286 - new derived operations "fields" to build a partial record section,
4287 "extend" to promote a fixed record to a record scheme, and
4288 "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
4289 declared as simp by default;
4290 - shared operations ("more", "fields", etc.) now need to be always
4291 qualified) --- potential INCOMPATIBILITY;
4292 - removed "make_scheme" operations (use "make" with "extend") --
4294 - removed "more" class (simply use "term") -- INCOMPATIBILITY;
4295 - provides cases/induct rules for use with corresponding Isar
4296 methods (for concrete records, record schemes, concrete more
4297 parts, and schematic more parts -- in that order);
4298 - internal definitions directly based on a light-weight abstract
4299 theory of product types over typedef rather than datatype;
4301 * HOL: generic code generator for generating executable ML code from
4302 specifications; specific support for HOL constructs such as inductive
4303 datatypes and sets, as well as recursive functions; can be invoked
4304 via 'generate_code' theory section;
4306 * HOL: canonical cases/induct rules for n-tuples (n = 3..7);
4308 * HOL: consolidated and renamed several theories. In particular:
4309 Ord.thy has been absorbed into HOL.thy
4310 String.thy has been absorbed into List.thy
4312 * HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
4313 (beware of argument permutation!);
4315 * HOL: linorder_less_split superseded by linorder_cases;
4317 * HOL/List: "nodups" renamed to "distinct";
4319 * HOL: added "The" definite description operator; move Hilbert's "Eps"
4320 to peripheral theory "Hilbert_Choice"; some INCOMPATIBILITIES:
4321 - Ex_def has changed, now need to use some_eq_ex
4323 * HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
4324 in this (rare) case use:
4326 delSWrapper "split_all_tac"
4327 addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)
4329 * HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS
4332 * HOL: introduced f^n = f o ... o f; warning: due to the limits of
4333 Isabelle's type classes, ^ on functions and relations has too general
4334 a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
4335 necessary to attach explicit type constraints;
4337 * HOL/Relation: the prefix name of the infix "O" has been changed from
4338 "comp" to "rel_comp"; INCOMPATIBILITY: a few theorems have been
4339 renamed accordingly (eg "compI" -> "rel_compI").
4341 * HOL: syntax translations now work properly with numerals and records
4344 * HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead
4345 of "lam" -- INCOMPATIBILITY;
4347 * HOL: got rid of some global declarations (potential INCOMPATIBILITY
4348 for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
4349 renamed "Product_Type.unit";
4351 * HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl
4353 * HOL: removed obsolete theorem "optionE" (use "option.exhaust", or
4354 the "cases" method);
4356 * HOL/GroupTheory: group theory examples including Sylow's theorem (by
4359 * HOL/IMP: updated and converted to new-style theory format; several
4360 parts turned into readable document, with proper Isar proof texts and
4361 some explanations (by Gerwin Klein);
4363 * HOL-Real: added Complex_Numbers (by Gertrud Bauer);
4365 * HOL-Hyperreal is now a logic image;
4370 * Isar: consts/constdefs supports mixfix syntax for continuous
4373 * Isar: domain package adapted to new-style theory format, e.g. see
4376 * theory Lift: proper use of rep_datatype lift instead of ML hacks --
4377 potential INCOMPATIBILITY; now use plain induct_tac instead of former
4378 lift.induct_tac, always use UU instead of Undef;
4380 * HOLCF/IMP: updated and converted to new-style theory;
4385 * Isar: proper integration of logic-specific tools and packages,
4386 including theory commands '(co)inductive', '(co)datatype',
4387 'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
4388 'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');
4390 * theory Main no longer includes AC; for the Axiom of Choice, base
4391 your theory on Main_ZFC;
4393 * the integer library now covers quotients and remainders, with many
4394 laws relating division to addition, multiplication, etc.;
4396 * ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
4397 typeless version of the formalism;
4399 * ZF/AC, Coind, IMP, Resid: updated and converted to new-style theory
4402 * ZF/Induct: new directory for examples of inductive definitions,
4403 including theory Multiset for multiset orderings; converted to
4404 new-style theory format;
4406 * ZF: many new theorems about lists, ordinals, etc.;
4411 * Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
4412 variable proof controls level of detail: 0 = no proofs (only oracle
4413 dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
4414 also ref manual for further ML interfaces;
4416 * Pure/axclass: removed obsolete ML interface
4417 goal_subclass/goal_arity;
4419 * Pure/syntax: new token syntax "num" for plain numerals (without "#"
4420 of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
4421 separate tokens, so expressions involving minus need to be spaced
4424 * Pure/syntax: support non-oriented infixes, using keyword "infix"
4425 rather than "infixl" or "infixr";
4427 * Pure/syntax: concrete syntax for dummy type variables admits genuine
4428 sort constraint specifications in type inference; e.g. "x::_::foo"
4429 ensures that the type of "x" is of sort "foo" (but not necessarily a
4432 * Pure/syntax: print modes "type_brackets" and "no_type_brackets"
4433 control output of nested => (types); the default behavior is
4436 * Pure/syntax: builtin parse translation for "_constify" turns valued
4437 tokens into AST constants;
4439 * Pure/syntax: prefer later declarations of translations and print
4440 translation functions; potential INCOMPATIBILITY: need to reverse
4441 multiple declarations for same syntax element constant;
4443 * Pure/show_hyps reset by default (in accordance to existing Isar
4446 * Provers/classical: renamed addaltern to addafter, addSaltern to
4449 * Provers/clasimp: ``iff'' declarations now handle conditional rules
4452 * system: tested support for MacOS X; should be able to get Isabelle +
4453 Proof General to work in a plain Terminal after installing Poly/ML
4454 (e.g. from the Isabelle distribution area) and GNU bash alone
4455 (e.g. from http://www.apple.com); full X11, XEmacs and X-Symbol
4456 support requires further installations, e.g. from
4457 http://fink.sourceforge.net/);
4459 * system: support Poly/ML 4.1.1 (able to manage larger heaps);
4461 * system: reduced base memory usage by Poly/ML (approx. 20 MB instead
4462 of 40 MB), cf. ML_OPTIONS;
4464 * system: Proof General keywords specification is now part of the
4465 Isabelle distribution (see etc/isar-keywords.el);
4467 * system: support for persistent Proof General sessions (refrain from
4468 outdating all loaded theories on startup); user may create writable
4469 logic images like this: ``isabelle -q HOL Test'';
4471 * system: smart selection of Isabelle process versus Isabelle
4472 interface, accommodates case-insensitive file systems (e.g. HFS+); may
4473 run both "isabelle" and "Isabelle" even if file names are badly
4474 damaged (executable inspects the case of the first letter of its own
4475 name); added separate "isabelle-process" and "isabelle-interface";
4477 * system: refrain from any attempt at filtering input streams; no
4478 longer support ``8bit'' encoding of old isabelle font, instead proper
4479 iso-latin characters may now be used; the related isatools
4480 "symbolinput" and "nonascii" have disappeared as well;
4482 * system: removed old "xterm" interface (the print modes "xterm" and
4483 "xterm_color" are still available for direct use in a suitable
4488 New in Isabelle99-2 (February 2001)
4489 -----------------------------------
4491 *** Overview of INCOMPATIBILITIES ***
4493 * HOL: please note that theories in the Library and elsewhere often use the
4494 new-style (Isar) format; to refer to their theorems in an ML script you must
4495 bind them to ML identifers by e.g. val thm_name = thm "thm_name";
4497 * HOL: inductive package no longer splits induction rule aggressively,
4498 but only as far as specified by the introductions given; the old
4499 format may be recovered via ML function complete_split_rule or attribute
4500 'split_rule (complete)';
4502 * HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
4503 gfp_Tarski to gfp_unfold;
4505 * HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;
4507 * HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
4508 relation); infix "^^" has been renamed "``"; infix "``" has been
4509 renamed "`"; "univalent" has been renamed "single_valued";
4511 * HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"
4514 * HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;
4516 * Isar: 'obtain' no longer declares "that" fact as simp/intro;
4518 * Isar/HOL: method 'induct' now handles non-atomic goals; as a
4519 consequence, it is no longer monotonic wrt. the local goal context
4520 (which is now passed through the inductive cases);
4522 * Document preparation: renamed standard symbols \<ll> to \<lless> and
4523 \<gg> to \<ggreater>;
4526 *** Document preparation ***
4528 * \isabellestyle{NAME} selects version of Isabelle output (currently
4529 available: are "it" for near math-mode best-style output, "sl" for
4530 slanted text style, and "tt" for plain type-writer; if no
4531 \isabellestyle command is given, output is according to slanted
4534 * support sub/super scripts (for single symbols only), input syntax is
4535 like this: "A\<^sup>*" or "A\<^sup>\<star>";
4537 * some more standard symbols; see Appendix A of the system manual for
4538 the complete list of symbols defined in isabellesym.sty;
4540 * improved isabelle style files; more abstract symbol implementation
4541 (should now use \isamath{...} and \isatext{...} in custom symbol
4544 * antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
4545 state; Note that presentation of goal states does not conform to
4546 actual human-readable proof documents. Please do not include goal
4547 states into document output unless you really know what you are doing!
4549 * proper indentation of antiquoted output with proportional LaTeX
4552 * no_document ML operator temporarily disables LaTeX document
4555 * isatool unsymbolize tunes sources for plain ASCII communication;
4560 * Pure: Isar now suffers initial goal statements to contain unbound
4561 schematic variables (this does not conform to actual readable proof
4562 documents, due to unpredictable outcome and non-compositional proof
4563 checking); users who know what they are doing may use schematic goals
4564 for Prolog-style synthesis of proven results;
4566 * Pure: assumption method (an implicit finishing) now handles actual
4569 * Pure: improved 'obtain' --- moved to Pure, insert "that" into
4570 initial goal, declare "that" only as Pure intro (only for single
4571 steps); the "that" rule assumption may now be involved in implicit
4572 finishing, thus ".." becomes a feasible for trivial obtains;
4574 * Pure: default proof step now includes 'intro_classes'; thus trivial
4575 instance proofs may be performed by "..";
4577 * Pure: ?thesis / ?this / "..." now work for pure meta-level
4580 * Pure: more robust selection of calculational rules;
4582 * Pure: the builtin notion of 'finished' goal now includes the ==-refl
4583 rule (as well as the assumption rule);
4585 * Pure: 'thm_deps' command visualizes dependencies of theorems and
4586 lemmas, using the graph browser tool;
4588 * Pure: predict failure of "show" in interactive mode;
4590 * Pure: 'thms_containing' now takes actual terms as arguments;
4592 * HOL: improved method 'induct' --- now handles non-atomic goals
4593 (potential INCOMPATIBILITY); tuned error handling;
4595 * HOL: cases and induct rules now provide explicit hints about the
4596 number of facts to be consumed (0 for "type" and 1 for "set" rules);
4597 any remaining facts are inserted into the goal verbatim;
4599 * HOL: local contexts (aka cases) may now contain term bindings as
4600 well; the 'cases' and 'induct' methods new provide a ?case binding for
4601 the result to be shown in each case;
4603 * HOL: added 'recdef_tc' command;
4605 * isatool convert assists in eliminating legacy ML scripts;
4610 * HOL/Library: a collection of generic theories to be used together
4611 with main HOL; the theory loader path already includes this directory
4612 by default; the following existing theories have been moved here:
4613 HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
4614 (as While_Combinator), HOL/Lex/Prefix (as List_Prefix);
4616 * HOL/Unix: "Some aspects of Unix file-system security", a typical
4617 modelling and verification task performed in Isabelle/HOL +
4618 Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).
4620 * HOL/Algebra: special summation operator SUM no longer exists, it has
4621 been replaced by setsum; infix 'assoc' now has priority 50 (like
4622 'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
4623 'domain', this makes the theory consistent with mathematical
4626 * HOL basics: added overloaded operations "inverse" and "divide"
4627 (infix "/"), syntax for generic "abs" operation, generic summation
4630 * HOL/typedef: simplified package, provide more useful rules (see also
4633 * HOL/datatype: induction rule for arbitrarily branching datatypes is
4634 now expressed as a proper nested rule (old-style tactic scripts may
4635 require atomize_strip_tac to cope with non-atomic premises);
4637 * HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
4638 to "split_conv" (old name still available for compatibility);
4640 * HOL: improved concrete syntax for strings (e.g. allows translation
4641 rules with string literals);
4643 * HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
4644 and Fleuriot's mechanization of analysis, including the transcendental
4645 functions for the reals;
4647 * HOL/Real, HOL/Hyperreal: improved arithmetic simplification;
4652 * CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
4653 "lam" is displayed as TWO lambda-symbols
4655 * CTT: theory Main now available, containing everything (that is, Bool
4661 * Pure: the Simplifier has been implemented properly as a derived rule
4662 outside of the actual kernel (at last!); the overall performance
4663 penalty in practical applications is about 50%, while reliability of
4664 the Isabelle inference kernel has been greatly improved;
4666 * print modes "brackets" and "no_brackets" control output of nested =>
4667 (types) and ==> (props); the default behaviour is "brackets";
4669 * Provers: fast_tac (and friends) now handle actual object-logic rules
4670 as assumptions as well;
4672 * system: support Poly/ML 4.0;
4674 * system: isatool install handles KDE version 1 or 2;
4678 New in Isabelle99-1 (October 2000)
4679 ----------------------------------
4681 *** Overview of INCOMPATIBILITIES ***
4683 * HOL: simplification of natural numbers is much changed; to partly
4684 recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
4685 issue the following ML commands:
4687 Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
4688 Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];
4690 * HOL: simplification no longer dives into case-expressions; this is
4691 controlled by "t.weak_case_cong" for each datatype t;
4693 * HOL: nat_less_induct renamed to less_induct;
4695 * HOL: systematic renaming of the SOME (Eps) rules, may use isatool
4696 fixsome to patch .thy and .ML sources automatically;
4698 select_equality -> some_equality
4699 select_eq_Ex -> some_eq_ex
4700 selectI2EX -> someI2_ex
4703 select1_equality -> some1_equality
4704 Eps_sym_eq -> some_sym_eq_trivial
4705 Eps_eq -> some_eq_trivial
4707 * HOL: exhaust_tac on datatypes superceded by new generic case_tac;
4709 * HOL: removed obsolete theorem binding expand_if (refer to split_if
4712 * HOL: the recursion equations generated by 'recdef' are now called
4713 f.simps instead of f.rules;
4715 * HOL: qed_spec_mp now also handles bounded ALL as well;
4717 * HOL: 0 is now overloaded, so the type constraint ":: nat" may
4718 sometimes be needed;
4720 * HOL: the constant for "f``x" is now "image" rather than "op ``";
4722 * HOL: the constant for "f-``x" is now "vimage" rather than "op -``";
4724 * HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
4725 product is now "<*>" instead of "Times"; the lexicographic product is
4726 now "<*lex*>" instead of "**";
4728 * HOL: theory Sexp is now in HOL/Induct examples (it used to be part
4729 of main HOL, but was unused); better use HOL's datatype package;
4731 * HOL: removed "symbols" syntax for constant "override" of theory Map;
4732 the old syntax may be recovered as follows:
4735 override :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
4736 (infixl "\\<oplus>" 100)
4738 * HOL/Real: "rabs" replaced by overloaded "abs" function;
4740 * HOL/ML: even fewer consts are declared as global (see theories Ord,
4741 Lfp, Gfp, WF); this only affects ML packages that refer to const names
4744 * HOL and ZF: syntax for quotienting wrt an equivalence relation
4745 changed from A/r to A//r;
4747 * ZF: new treatment of arithmetic (nat & int) may break some old
4750 * Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
4751 rulify -> rule_format, elimify -> elim_format, ...);
4753 * Isar/Provers: intro/elim/dest attributes changed; renamed
4754 intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
4755 should have to change intro!! to intro? only); replaced "delrule" by
4758 * Isar/HOL: renamed "intrs" to "intros" in inductive definitions;
4760 * Provers: strengthened force_tac by using new first_best_tac;
4762 * LaTeX document preparation: several changes of isabelle.sty (see
4766 *** Document preparation ***
4768 * formal comments (text blocks etc.) in new-style theories may now
4769 contain antiquotations of thm/prop/term/typ/text to be presented
4770 according to latex print mode; concrete syntax is like this:
4771 @{term[show_types] "f(x) = a + x"};
4773 * isatool mkdir provides easy setup of Isabelle session directories,
4774 including proper document sources;
4776 * generated LaTeX sources are now deleted after successful run
4777 (isatool document -c); may retain a copy somewhere else via -D option
4780 * isatool usedir -D now lets isatool latex -o sty update the Isabelle
4781 style files, achieving self-contained LaTeX sources and simplifying
4784 * old-style theories now produce (crude) LaTeX output as well;
4786 * browser info session directories are now self-contained (may be put
4787 on WWW server seperately); improved graphs of nested sessions; removed
4788 graph for 'all sessions';
4790 * several improvements in isabelle style files; \isabellestyle{it}
4791 produces fake math mode output; \isamarkupheader is now \section by
4792 default; see lib/texinputs/isabelle.sty etc.;
4797 * Isar/Pure: local results and corresponding term bindings are now
4798 subject to Hindley-Milner polymorphism (similar to ML); this
4799 accommodates incremental type-inference very nicely;
4801 * Isar/Pure: new derived language element 'obtain' supports
4802 generalized existence reasoning;
4804 * Isar/Pure: new calculational elements 'moreover' and 'ultimately'
4805 support accumulation of results, without applying any rules yet;
4806 useful to collect intermediate results without explicit name
4807 references, and for use with transitivity rules with more than 2
4810 * Isar/Pure: scalable support for case-analysis type proofs: new
4811 'case' language element refers to local contexts symbolically, as
4812 produced by certain proof methods; internally, case names are attached
4813 to theorems as "tags";
4815 * Isar/Pure: theory command 'hide' removes declarations from
4816 class/type/const name spaces;
4818 * Isar/Pure: theory command 'defs' supports option "(overloaded)" to
4819 indicate potential overloading;
4821 * Isar/Pure: changed syntax of local blocks from {{ }} to { };
4823 * Isar/Pure: syntax of sorts made 'inner', i.e. have to write
4824 "{a,b,c}" instead of {a,b,c};
4826 * Isar/Pure now provides its own version of intro/elim/dest
4827 attributes; useful for building new logics, but beware of confusion
4828 with the version in Provers/classical;
4830 * Isar/Pure: the local context of (non-atomic) goals is provided via
4831 case name 'antecedent';
4833 * Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
4834 to the current context is now done automatically);
4836 * Isar/Pure: theory command 'method_setup' provides a simple interface
4837 for definining proof methods in ML;
4839 * Isar/Provers: intro/elim/dest attributes changed; renamed
4840 intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
4841 most cases, one should have to change intro!! to intro? only);
4842 replaced "delrule" by "rule del";
4844 * Isar/Provers: new 'hypsubst' method, plain 'subst' method and
4845 'symmetric' attribute (the latter supercedes [RS sym]);
4847 * Isar/Provers: splitter support (via 'split' attribute and 'simp'
4848 method modifier); 'simp' method: 'only:' modifier removes loopers as
4849 well (including splits);
4851 * Isar/Provers: Simplifier and Classical methods now support all kind
4852 of modifiers used in the past, including 'cong', 'iff', etc.
4854 * Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
4855 of Simplifier and Classical reasoner);
4857 * Isar/HOL: new proof method 'cases' and improved version of 'induct'
4858 now support named cases; major packages (inductive, datatype, primrec,
4859 recdef) support case names and properly name parameters;
4861 * Isar/HOL: new transitivity rules for substitution in inequalities --
4862 monotonicity conditions are extracted to be proven at end of
4865 * Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
4868 * Isar/HOL: removed old expand_if = split_if; theorems if_splits =
4869 split_if split_if_asm; datatype package provides theorems foo.splits =
4870 foo.split foo.split_asm for each datatype;
4872 * Isar/HOL: tuned inductive package, rename "intrs" to "intros"
4873 (potential INCOMPATIBILITY), emulation of mk_cases feature for proof
4874 scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
4875 use "(cases (simplified))" method in proper proof texts);
4877 * Isar/HOL: added global 'arith_split' attribute for 'arith' method;
4879 * Isar: names of theorems etc. may be natural numbers as well;
4881 * Isar: 'pr' command: optional arguments for goals_limit and
4882 ProofContext.prems_limit; no longer prints theory contexts, but only
4885 * Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
4886 additional print modes to be specified; e.g. "pr(latex)" will print
4887 proof state according to the Isabelle LaTeX style;
4889 * Isar: improved support for emulating tactic scripts, including proof
4890 methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
4891 'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
4892 (for HOL datatypes);
4894 * Isar: simplified (more robust) goal selection of proof methods: 1st
4895 goal, all goals, or explicit goal specifier (tactic emulation); thus
4896 'proof method scripts' have to be in depth-first order;
4898 * Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';
4900 * Isar: removed 'help' command, which hasn't been too helpful anyway;
4901 should instead use individual commands for printing items
4902 (print_commands, print_methods etc.);
4904 * Isar: added 'nothing' --- the empty list of theorems;
4909 * HOL/MicroJava: formalization of a fragment of Java, together with a
4910 corresponding virtual machine and a specification of its bytecode
4911 verifier and a lightweight bytecode verifier, including proofs of
4912 type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
4913 Cornelia Pusch (see also the homepage of project Bali at
4914 http://isabelle.in.tum.de/Bali/);
4916 * HOL/Algebra: new theory of rings and univariate polynomials, by
4919 * HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
4920 Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M
4923 * HOL/Lattice: fundamental concepts of lattice theory and order
4924 structures, including duals, properties of bounds versus algebraic
4925 laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
4926 Theorem for complete lattices etc.; may also serve as a demonstration
4927 for abstract algebraic reasoning using axiomatic type classes, and
4928 mathematics-style proof in Isabelle/Isar; by Markus Wenzel;
4930 * HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
4933 * HOL/IMPP: extension of IMP with local variables and mutually
4934 recursive procedures, by David von Oheimb;
4936 * HOL/Lambda: converted into new-style theory and document;
4938 * HOL/ex/Multiquote: example of multiple nested quotations and
4939 anti-quotations -- basically a generalized version of de-Bruijn
4940 representation; very useful in avoiding lifting of operations;
4942 * HOL/record: added general record equality rule to simpset; fixed
4943 select-update simplification procedure to handle extended records as
4944 well; admit "r" as field name;
4946 * HOL: 0 is now overloaded over the new sort "zero", allowing its use with
4947 other numeric types and also as the identity of groups, rings, etc.;
4949 * HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
4950 Types nat and int belong to this axclass;
4952 * HOL: greatly improved simplification involving numerals of type nat, int, real:
4953 (i + #8 + j) = Suc k simplifies to #7 + (i + j) = k
4954 i*j + k + j*#3*i simplifies to #4*(i*j) + k
4955 two terms #m*u and #n*u are replaced by #(m+n)*u
4956 (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
4957 and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
4958 or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);
4960 * HOL: meson_tac is available (previously in ex/meson.ML); it is a
4961 powerful prover for predicate logic but knows nothing of clasets; see
4962 ex/mesontest.ML and ex/mesontest2.ML for example applications;
4964 * HOL: new version of "case_tac" subsumes both boolean case split and
4965 "exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
4966 exists, may define val exhaust_tac = case_tac for ad-hoc portability;
4968 * HOL: simplification no longer dives into case-expressions: only the
4969 selector expression is simplified, but not the remaining arms; to
4970 enable full simplification of case-expressions for datatype t, you may
4971 remove t.weak_case_cong from the simpset, either globally (Delcongs
4972 [thm"t.weak_case_cong"];) or locally (delcongs [...]).
4974 * HOL/recdef: the recursion equations generated by 'recdef' for
4975 function 'f' are now called f.simps instead of f.rules; if all
4976 termination conditions are proved automatically, these simplification
4977 rules are added to the simpset, as in primrec; rules may be named
4978 individually as well, resulting in a separate list of theorems for
4981 * HOL/While is a new theory that provides a while-combinator. It
4982 permits the definition of tail-recursive functions without the
4983 provision of a termination measure. The latter is necessary once the
4984 invariant proof rule for while is applied.
4986 * HOL: new (overloaded) notation for the set of elements below/above
4987 some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.
4989 * HOL: theorems impI, allI, ballI bound as "strip";
4991 * HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
4992 induct_tac th "x1 ... xn" expects th to have a conclusion of the form
4993 P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;
4995 * HOL/Real: "rabs" replaced by overloaded "abs" function;
4997 * HOL: theory Sexp now in HOL/Induct examples (it used to be part of
4998 main HOL, but was unused);
5000 * HOL: fewer consts declared as global (e.g. have to refer to
5001 "Lfp.lfp" instead of "lfp" internally; affects ML packages only);
5003 * HOL: tuned AST representation of nested pairs, avoiding bogus output
5004 in case of overlap with user translations (e.g. judgements over
5005 tuples); (note that the underlying logical represenation is still
5011 * ZF: simplification automatically cancels common terms in arithmetic
5012 expressions over nat and int;
5014 * ZF: new treatment of nat to minimize type-checking: all operators
5015 coerce their operands to a natural number using the function natify,
5016 making the algebraic laws unconditional;
5018 * ZF: as above, for int: operators coerce their operands to an integer
5019 using the function intify;
5021 * ZF: the integer library now contains many of the usual laws for the
5022 orderings, including $<=, and monotonicity laws for $+ and $*;
5024 * ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic
5027 * FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
5028 to the simplifier and classical reasoner simultaneously;
5033 * Provers: blast_tac now handles actual object-logic rules as
5034 assumptions; note that auto_tac uses blast_tac internally as well;
5036 * Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
5037 outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;
5039 * Provers: delrules now handles destruct rules as well (no longer need
5040 explicit make_elim);
5042 * Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
5043 [| inj ?f; ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
5044 use instead the strong form,
5045 [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
5046 in HOL, FOL and ZF the function cla_make_elim will create such rules
5047 from destruct-rules;
5049 * Provers: Simplifier.easy_setup provides a fast path to basic
5050 Simplifier setup for new object-logics;
5052 * Pure: AST translation rules no longer require constant head on LHS;
5054 * Pure: improved name spaces: ambiguous output is qualified; support
5055 for hiding of names;
5057 * system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
5058 XSYMBOL_HOME; no longer need to do manual configuration in most
5061 * system: compression of ML heaps images may now be controlled via -c
5062 option of isabelle and isatool usedir (currently only observed by
5065 * system: isatool installfonts may handle X-Symbol fonts as well (very
5066 useful for remote X11);
5068 * system: provide TAGS file for Isabelle sources;
5070 * ML: infix 'OF' is a version of 'MRS' with more appropriate argument
5073 * ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
5074 timing flag supersedes proof_timing and Toplevel.trace;
5076 * ML: new combinators |>> and |>>> for incremental transformations
5077 with secondary results (e.g. certain theory extensions):
5079 * ML: PureThy.add_defs gets additional argument to indicate potential
5080 overloading (usually false);
5082 * ML: PureThy.add_thms/add_axioms/add_defs now return theorems as
5087 New in Isabelle99 (October 1999)
5088 --------------------------------
5090 *** Overview of INCOMPATIBILITIES (see below for more details) ***
5092 * HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
5093 are no longer simplified. (This allows the simplifier to unfold recursive
5094 functional programs.) To restore the old behaviour, declare
5096 Delcongs [if_weak_cong];
5098 * HOL: Removed the obsolete syntax "Compl A"; use -A for set
5101 * HOL: the predicate "inj" is now defined by translation to "inj_on";
5103 * HOL/datatype: mutual_induct_tac no longer exists --
5104 use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]
5106 * HOL/typedef: fixed type inference for representing set; type
5107 arguments now have to occur explicitly on the rhs as type constraints;
5109 * ZF: The con_defs part of an inductive definition may no longer refer
5110 to constants declared in the same theory;
5112 * HOL, ZF: the function mk_cases, generated by the inductive
5113 definition package, has lost an argument. To simplify its result, it
5114 uses the default simpset instead of a supplied list of theorems.
5116 * HOL/List: the constructors of type list are now Nil and Cons;
5118 * Simplifier: the type of the infix ML functions
5119 setSSolver addSSolver setSolver addSolver
5120 is now simpset * solver -> simpset where `solver' is a new abstract type
5121 for packaging solvers. A solver is created via
5122 mk_solver: string -> (thm list -> int -> tactic) -> solver
5123 where the string argument is only a comment.
5128 * Provers/Arith/fast_lin_arith.ML contains a functor for creating a
5129 decision procedure for linear arithmetic. Currently it is used for
5130 types `nat', `int', and `real' in HOL (see below); it can, should and
5131 will be instantiated for other types and logics as well.
5133 * The simplifier now accepts rewrite rules with flexible heads, eg
5134 hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
5135 They are applied like any rule with a non-pattern lhs, i.e. by first-order
5141 * New Isabelle/Isar subsystem provides an alternative to traditional
5142 tactical theorem proving; together with the ProofGeneral/isar user
5143 interface it offers an interactive environment for developing human
5144 readable proof documents (Isar == Intelligible semi-automated
5145 reasoning); for further information see isatool doc isar-ref,
5146 src/HOL/Isar_examples and http://isabelle.in.tum.de/Isar/
5148 * improved and simplified presentation of theories: better HTML markup
5149 (including colors), graph views in several sizes; isatool usedir now
5150 provides a proper interface for user theories (via -P option); actual
5151 document preparation based on (PDF)LaTeX is available as well (for
5152 new-style theories only); see isatool doc system for more information;
5154 * native support for Proof General, both for classic Isabelle and
5157 * ML function thm_deps visualizes dependencies of theorems and lemmas,
5158 using the graph browser tool;
5160 * Isabelle manuals now also available as PDF;
5162 * theory loader rewritten from scratch (may not be fully
5163 bug-compatible); old loadpath variable has been replaced by show_path,
5164 add_path, del_path, reset_path functions; new operations such as
5165 update_thy, touch_thy, remove_thy, use/update_thy_only (see also
5168 * improved isatool install: option -k creates KDE application icon,
5169 option -p DIR installs standalone binaries;
5171 * added ML_PLATFORM setting (useful for cross-platform installations);
5172 more robust handling of platform specific ML images for SML/NJ;
5174 * the settings environment is now statically scoped, i.e. it is never
5175 created again in sub-processes invoked from isabelle, isatool, or
5178 * path element specification '~~' refers to '$ISABELLE_HOME';
5180 * in locales, the "assumes" and "defines" parts may be omitted if
5183 * new print_mode "xsymbols" for extended symbol support (e.g. genuine
5186 * new print_mode "HTML";
5188 * new flag show_tags controls display of tags of theorems (which are
5189 basically just comments that may be attached by some tools);
5191 * Isamode 2.6 requires patch to accomodate change of Isabelle font
5192 mode and goal output format:
5194 diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
5196 < (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
5198 > (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
5199 diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
5201 < (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
5203 > (defconst proofstate-proofstart-regexp "^Level [0-9]+"
5205 * function bind_thms stores lists of theorems (cf. bind_thm);
5207 * new shorthand tactics ftac, eatac, datac, fatac;
5209 * qed (and friends) now accept "" as result name; in that case the
5210 theorem is not stored, but proper checks and presentation of the
5213 * theorem database now also indexes constants "Trueprop", "all",
5214 "==>", "=="; thus thms_containing, findI etc. may retrieve more rules;
5219 ** HOL arithmetic **
5221 * There are now decision procedures for linear arithmetic over nat and
5224 1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
5225 `+', `-', `Suc', `min', `max' and numerical constants; other subterms
5226 are treated as atomic; subformulae not involving type `nat' or `int'
5227 are ignored; quantified subformulae are ignored unless they are
5228 positive universal or negative existential. The tactic has to be
5229 invoked by hand and can be a little bit slow. In particular, the
5230 running time is exponential in the number of occurrences of `min' and
5231 `max', and `-' on `nat'.
5233 2. fast_arith_tac is a cut-down version of arith_tac: it only takes
5234 (negated) (in)equalities among the premises and the conclusion into
5235 account (i.e. no compound formulae) and does not know about `min' and
5236 `max', and `-' on `nat'. It is fast and is used automatically by the
5239 NB: At the moment, these decision procedures do not cope with mixed
5240 nat/int formulae where the two parts interact, such as `m < n ==>
5243 * HOL/Numeral provides a generic theory of numerals (encoded
5244 efficiently as bit strings); setup for types nat/int/real is in place;
5245 INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
5246 int, existing theories and proof scripts may require a few additional
5249 * integer division and remainder can now be performed on constant
5252 * many properties of integer multiplication, division and remainder
5255 * An interface to the Stanford Validity Checker (SVC) is available through the
5256 tactic svc_tac. Propositional tautologies and theorems of linear arithmetic
5257 are proved automatically. SVC must be installed separately, and its results
5258 must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
5259 invocation of the underlying oracle). For SVC see
5260 http://verify.stanford.edu/SVC
5262 * IsaMakefile: the HOL-Real target now builds an actual image;
5267 * HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
5268 (in Isabelle/Isar) -- by Gertrud Bauer;
5270 * HOL/BCV: generic model of bytecode verification, i.e. data-flow
5271 analysis for assembly languages with subtypes;
5273 * HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
5274 -- avoids syntactic ambiguities and treats state, transition, and
5275 temporal levels more uniformly; introduces INCOMPATIBILITIES due to
5276 changed syntax and (many) tactics;
5278 * HOL/inductive: Now also handles more general introduction rules such
5279 as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
5280 theorems are now maintained within the theory (maintained via the
5283 * HOL/datatype: Now also handles arbitrarily branching datatypes
5284 (using function types) such as
5286 datatype 'a tree = Atom 'a | Branch "nat => 'a tree"
5288 * HOL/record: record_simproc (part of the default simpset) takes care
5289 of selectors applied to updated records; record_split_tac is no longer
5290 part of the default claset; update_defs may now be removed from the
5291 simpset in many cases; COMPATIBILITY: old behavior achieved by
5293 claset_ref () := claset() addSWrapper record_split_wrapper;
5294 Delsimprocs [record_simproc]
5296 * HOL/typedef: fixed type inference for representing set; type
5297 arguments now have to occur explicitly on the rhs as type constraints;
5299 * HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
5300 names rather than an ML expression;
5302 * HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
5303 supplied later. Program schemes can be defined, such as
5304 "While B C s = (if B s then While B C (C s) else s)"
5305 where the well-founded relation can be chosen after B and C have been given.
5307 * HOL/List: the constructors of type list are now Nil and Cons;
5308 INCOMPATIBILITY: while [] and infix # syntax is still there, of
5309 course, ML tools referring to List.list.op # etc. have to be adapted;
5311 * HOL_quantifiers flag superseded by "HOL" print mode, which is
5312 disabled by default; run isabelle with option -m HOL to get back to
5313 the original Gordon/HOL-style output;
5315 * HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
5316 ALL x<=y. P, EX x<y. P, EX x<=y. P;
5318 * HOL basic syntax simplified (more orthogonal): all variants of
5319 All/Ex now support plain / symbolic / HOL notation; plain syntax for
5320 Eps operator is provided as well: "SOME x. P[x]";
5322 * HOL/Sum.thy: sum_case has been moved to HOL/Datatype;
5324 * HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
5325 thus available for user theories;
5327 * HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
5328 HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the
5331 * HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
5332 several times and then mp;
5337 * the notation <<...>> is now available as a notation for sequences of
5340 * the simplifier is now installed
5342 * the axiom system has been generalized (thanks to Soren Heilmann)
5344 * the classical reasoner now has a default rule database
5349 * new primrec section allows primitive recursive functions to be given
5350 directly (as in HOL) over datatypes and the natural numbers;
5352 * new tactics induct_tac and exhaust_tac for induction (or case
5353 analysis) over datatypes and the natural numbers;
5355 * the datatype declaration of type T now defines the recursor T_rec;
5357 * simplification automatically does freeness reasoning for datatype
5360 * automatic type-inference, with AddTCs command to insert new
5361 type-checking rules;
5363 * datatype introduction rules are now added as Safe Introduction rules
5366 * the syntax "if P then x else y" is now available in addition to
5370 *** Internal programming interfaces ***
5372 * tuned simplifier trace output; new flag debug_simp;
5374 * structures Vartab / Termtab (instances of TableFun) offer efficient
5375 tables indexed by indexname_ord / term_ord (compatible with aconv);
5377 * AxClass.axclass_tac lost the theory argument;
5379 * tuned current_goals_markers semantics: begin / end goal avoids
5380 printing empty lines;
5382 * removed prs and prs_fn hook, which was broken because it did not
5383 include \n in its semantics, forcing writeln to add one
5384 uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
5385 string -> unit if you really want to output text without newline;
5387 * Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
5388 plain output, interface builders may have to enable 'isabelle_font'
5389 mode to get Isabelle font glyphs as before;
5391 * refined token_translation interface; INCOMPATIBILITY: output length
5392 now of type real instead of int;
5394 * theory loader actions may be traced via new ThyInfo.add_hook
5395 interface (see src/Pure/Thy/thy_info.ML); example application: keep
5396 your own database of information attached to *whole* theories -- as
5397 opposed to intra-theory data slots offered via TheoryDataFun;
5399 * proper handling of dangling sort hypotheses (at last!);
5400 Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
5401 extra sort hypotheses that can be witnessed from the type signature;
5402 the force_strip_shyps flag is gone, any remaining shyps are simply
5403 left in the theorem (with a warning issued by strip_shyps_warning);
5407 New in Isabelle98-1 (October 1998)
5408 ----------------------------------
5410 *** Overview of INCOMPATIBILITIES (see below for more details) ***
5412 * several changes of automated proof tools;
5414 * HOL: major changes to the inductive and datatype packages, including
5415 some minor incompatibilities of theory syntax;
5417 * HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
5420 * HOL: removed duplicate thms in Arith:
5421 less_imp_add_less should be replaced by trans_less_add1
5422 le_imp_add_le should be replaced by trans_le_add1
5424 * HOL: unary minus is now overloaded (new type constraints may be
5427 * HOL and ZF: unary minus for integers is now #- instead of #~. In
5428 ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
5429 now taken as an integer constant.
5431 * Pure: ML function 'theory_of' renamed to 'theory';
5437 1. Asm_full_simp_tac is now more aggressive.
5438 1. It will sometimes reorient premises if that increases their power to
5440 2. It does no longer proceed strictly from left to right but may also
5441 rotate premises to achieve further simplification.
5442 For compatibility reasons there is now Asm_lr_simp_tac which is like the
5443 old Asm_full_simp_tac in that it does not rotate premises.
5444 2. The simplifier now knows a little bit about nat-arithmetic.
5446 * Classical reasoner: wrapper mechanism for the classical reasoner now
5447 allows for selected deletion of wrappers, by introduction of names for
5448 wrapper functionals. This implies that addbefore, addSbefore,
5449 addaltern, and addSaltern now take a pair (name, tactic) as argument,
5450 and that adding two tactics with the same name overwrites the first
5451 one (emitting a warning).
5452 type wrapper = (int -> tactic) -> (int -> tactic)
5453 setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
5454 addWrapper, addSWrapper: claset * (string * wrapper) -> claset
5455 delWrapper, delSWrapper: claset * string -> claset
5456 getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
5458 * Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
5459 semantics; addbefore now affects only the unsafe part of step_tac
5460 etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
5461 FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
5464 * Classical reasoner: setwrapper to setWrapper and compwrapper to
5465 compWrapper; added safe wrapper (and access functions for it);
5467 * HOL/split_all_tac is now much faster and fails if there is nothing
5468 to split. Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
5469 and the names of the automatically generated variables have changed.
5470 split_all_tac has moved within claset() from unsafe wrappers to safe
5471 wrappers, which means that !!-bound variables are split much more
5472 aggressively, and safe_tac and clarify_tac now split such variables.
5473 If this splitting is not appropriate, use delSWrapper "split_all_tac".
5474 Note: the same holds for record_split_tac, which does the job of
5475 split_all_tac for record fields.
5477 * HOL/Simplifier: Rewrite rules for case distinctions can now be added
5478 permanently to the default simpset using Addsplits just like
5479 Addsimps. They can be removed via Delsplits just like
5480 Delsimps. Lower-case versions are also available.
5482 * HOL/Simplifier: The rule split_if is now part of the default
5483 simpset. This means that the simplifier will eliminate all occurrences
5484 of if-then-else in the conclusion of a goal. To prevent this, you can
5485 either remove split_if completely from the default simpset by
5486 `Delsplits [split_if]' or remove it in a specific call of the
5487 simplifier using `... delsplits [split_if]'. You can also add/delete
5488 other case splitting rules to/from the default simpset: every datatype
5489 generates suitable rules `split_t_case' and `split_t_case_asm' (where
5490 t is the name of the datatype).
5492 * Classical reasoner / Simplifier combination: new force_tac (and
5493 derivatives Force_tac, force) combines rewriting and classical
5494 reasoning (and whatever other tools) similarly to auto_tac, but is
5495 aimed to solve the given subgoal completely.
5500 * new top-level commands `Goal' and `Goalw' that improve upon `goal'
5501 and `goalw': the theory is no longer needed as an explicit argument -
5502 the current theory context is used; assumptions are no longer returned
5503 at the ML-level unless one of them starts with ==> or !!; it is
5504 recommended to convert to these new commands using isatool fixgoal
5505 (backup your sources first!);
5507 * new top-level commands 'thm' and 'thms' for retrieving theorems from
5508 the current theory context, and 'theory' to lookup stored theories;
5510 * new theory section 'locale' for declaring constants, assumptions and
5511 definitions that have local scope;
5513 * new theory section 'nonterminals' for purely syntactic types;
5515 * new theory section 'setup' for generic ML setup functions
5516 (e.g. package initialization);
5518 * the distribution now includes Isabelle icons: see
5519 lib/logo/isabelle-{small,tiny}.xpm;
5521 * isatool install - install binaries with absolute references to
5524 * isatool logo -- create instances of the Isabelle logo (as EPS);
5526 * print mode 'emacs' reserved for Isamode;
5528 * support multiple print (ast) translations per constant name;
5530 * theorems involving oracles are now printed with a suffixed [!];
5535 * there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');
5537 * HOL/inductive package reorganized and improved: now supports mutual
5543 oddI "n : EVEN ==> Suc n : ODD"
5544 evenI "n : ODD ==> Suc n : EVEN"
5546 new theorem list "elims" contains an elimination rule for each of the
5547 recursive sets; inductive definitions now handle disjunctive premises
5548 correctly (also ZF);
5550 INCOMPATIBILITIES: requires Inductive as an ancestor; component
5551 "mutual_induct" no longer exists - the induction rule is always
5552 contained in "induct";
5555 * HOL/datatype package re-implemented and greatly improved: now
5556 supports mutually recursive datatypes such as
5559 'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
5560 | SUM ('a aexp) ('a aexp)
5561 | DIFF ('a aexp) ('a aexp)
5564 'a bexp = LESS ('a aexp) ('a aexp)
5565 | AND ('a bexp) ('a bexp)
5566 | OR ('a bexp) ('a bexp)
5568 as well as indirectly recursive datatypes such as
5571 ('a, 'b) term = Var 'a
5572 | App 'b ((('a, 'b) term) list)
5574 The new tactic mutual_induct_tac [<var_1>, ..., <var_n>] i performs
5575 induction on mutually / indirectly recursive datatypes.
5577 Primrec equations are now stored in theory and can be accessed via
5578 <function_name>.simps.
5582 - Theories using datatypes must now have theory Datatype as an
5584 - The specific <typename>.induct_tac no longer exists - use the
5585 generic induct_tac instead.
5586 - natE has been renamed to nat.exhaust - use exhaust_tac
5587 instead of res_inst_tac ... natE. Note that the variable
5588 names in nat.exhaust differ from the names in natE, this
5589 may cause some "fragile" proofs to fail.
5590 - The theorems split_<typename>_case and split_<typename>_case_asm
5591 have been renamed to <typename>.split and <typename>.split_asm.
5592 - Since default sorts of type variables are now handled correctly,
5593 some datatype definitions may have to be annotated with explicit
5595 - Primrec definitions no longer require function name and type
5596 of recursive argument.
5598 Consider using isatool fixdatatype to adapt your theories and proof
5599 scripts to the new package (backup your sources first!).
5602 * HOL/record package: considerably improved implementation; now
5603 includes concrete syntax for record types, terms, updates; theorems
5604 for surjective pairing and splitting !!-bound record variables; proof
5605 support is as follows:
5607 1) standard conversions (selectors or updates applied to record
5608 constructor terms) are part of the standard simpset;
5610 2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
5611 made part of standard simpset and claset via addIffs;
5613 3) a tactic for record field splitting (record_split_tac) is part of
5614 the standard claset (addSWrapper);
5616 To get a better idea about these rules you may retrieve them via
5617 something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
5618 the name of your record type.
5620 The split tactic 3) conceptually simplifies by the following rule:
5622 "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"
5624 Thus any record variable that is bound by meta-all will automatically
5625 blow up into some record constructor term, consequently the
5626 simplifications of 1), 2) apply. Thus force_tac, auto_tac etc. shall
5627 solve record problems automatically.
5630 * reorganized the main HOL image: HOL/Integ and String loaded by
5631 default; theory Main includes everything;
5633 * automatic simplification of integer sums and comparisons, using cancellation;
5635 * added option_map_eq_Some and not_Some_eq to the default simpset and claset;
5637 * added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;
5639 * many new identities for unions, intersections, set difference, etc.;
5641 * expand_if, expand_split, expand_sum_case and expand_nat_case are now
5642 called split_if, split_split, split_sum_case and split_nat_case (to go
5643 with add/delsplits);
5645 * HOL/Prod introduces simplification procedure unit_eq_proc rewriting
5646 (?x::unit) = (); this is made part of the default simpset, which COULD
5647 MAKE EXISTING PROOFS FAIL under rare circumstances (consider
5648 'Delsimprocs [unit_eq_proc];' as last resort); also note that
5649 unit_abs_eta_conv is added in order to counter the effect of
5650 unit_eq_proc on (%u::unit. f u), replacing it by f rather than by
5653 * HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
5656 * HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
5657 It and 'sym RS equals0D' are now in the default claset, giving automatic
5658 disjointness reasoning but breaking a few old proofs.
5660 * HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
5661 to 'converse' from 'inverse' (for compatibility with ZF and some
5664 * HOL/recdef can now declare non-recursive functions, with {} supplied as
5665 the well-founded relation;
5667 * HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
5668 Compl A. The "Compl" syntax remains available as input syntax for this
5671 * HOL/Update: new theory of function updates:
5672 f(a:=b) == %x. if x=a then b else f x
5673 may also be iterated as in f(a:=b,c:=d,...);
5675 * HOL/Vimage: new theory for inverse image of a function, syntax f-``B;
5678 - new function list_update written xs[i:=v] that updates the i-th
5679 list position. May also be iterated as in xs[i:=a,j:=b,...].
5680 - new function `upt' written [i..j(] which generates the list
5681 [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
5682 bound write [i..j], which is a shorthand for [i..j+1(].
5683 - new lexicographic orderings and corresponding wellfoundedness theorems.
5686 - removed 'pred' (predecessor) function;
5687 - generalized some theorems about n-1;
5688 - many new laws about "div" and "mod";
5689 - new laws about greatest common divisors (see theory ex/Primes);
5691 * HOL/Relation: renamed the relational operator r^-1 "converse"
5692 instead of "inverse";
5694 * HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
5695 of the multiset ordering;
5697 * directory HOL/Real: a construction of the reals using Dedekind cuts
5698 (not included by default);
5700 * directory HOL/UNITY: Chandy and Misra's UNITY formalism;
5702 * directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
5703 programs, i.e. different program variables may have different types.
5705 * calling (stac rew i) now fails if "rew" has no effect on the goal
5706 [previously, this check worked only if the rewrite rule was unconditional]
5707 Now rew can involve either definitions or equalities (either == or =).
5712 * theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
5713 only the theorems proved on ZF.ML;
5715 * ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
5716 It and 'sym RS equals0D' are now in the default claset, giving automatic
5717 disjointness reasoning but breaking a few old proofs.
5719 * ZF/Update: new theory of function updates
5720 with default rewrite rule f(x:=y) ` z = if(z=x, y, f`z)
5721 may also be iterated as in f(a:=b,c:=d,...);
5723 * in let x=t in u(x), neither t nor u(x) has to be an FOL term.
5725 * calling (stac rew i) now fails if "rew" has no effect on the goal
5726 [previously, this check worked only if the rewrite rule was unconditional]
5727 Now rew can involve either definitions or equalities (either == or =).
5729 * case_tac provided for compatibility with HOL
5730 (like the old excluded_middle_tac, but with subgoals swapped)
5733 *** Internal programming interfaces ***
5735 * Pure: several new basic modules made available for general use, see
5736 also src/Pure/README;
5738 * improved the theory data mechanism to support encapsulation (data
5739 kind name replaced by private Object.kind, acting as authorization
5740 key); new type-safe user interface via functor TheoryDataFun; generic
5741 print_data function becomes basically useless;
5743 * removed global_names compatibility flag -- all theory declarations
5744 are qualified by default;
5746 * module Pure/Syntax now offers quote / antiquote translation
5747 functions (useful for Hoare logic etc. with implicit dependencies);
5748 see HOL/ex/Antiquote for an example use;
5750 * Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
5753 * new tactical CHANGED_GOAL for checking that a tactic modifies a
5756 * Display.print_goals function moved to Locale.print_goals;
5758 * standard print function for goals supports current_goals_markers
5759 variable for marking begin of proof, end of proof, start of goal; the
5760 default is ("", "", ""); setting current_goals_markers := ("<proof>",
5761 "</proof>", "<goal>") causes SGML like tagged proof state printing,
5766 New in Isabelle98 (January 1998)
5767 --------------------------------
5769 *** Overview of INCOMPATIBILITIES (see below for more details) ***
5771 * changed lexical syntax of terms / types: dots made part of long
5772 identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
5774 * simpset (and claset) reference variable replaced by functions
5775 simpset / simpset_ref;
5777 * no longer supports theory aliases (via merge) and non-trivial
5778 implicit merge of thms' signatures;
5780 * most internal names of constants changed due to qualified names;
5782 * changed Pure/Sequence interface (see Pure/seq.ML);
5785 *** General Changes ***
5787 * hierachically structured name spaces (for consts, types, axms, thms
5788 etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
5789 old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
5790 isatool fixdots ensures space after dots (e.g. "%x. x"); set
5791 long_names for fully qualified output names; NOTE: ML programs
5792 (special tactics, packages etc.) referring to internal names may have
5793 to be adapted to cope with fully qualified names; in case of severe
5794 backward campatibility problems try setting 'global_names' at compile
5795 time to have enrything declared within a flat name space; one may also
5796 fine tune name declarations in theories via the 'global' and 'local'
5799 * reimplemented the implicit simpset and claset using the new anytype
5800 data filed in signatures; references simpset:simpset ref etc. are
5801 replaced by functions simpset:unit->simpset and
5802 simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
5803 to patch your ML files accordingly;
5805 * HTML output now includes theory graph data for display with Java
5806 applet or isatool browser; data generated automatically via isatool
5807 usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
5809 * defs may now be conditional; improved rewrite_goals_tac to handle
5810 conditional equations;
5812 * defs now admits additional type arguments, using TYPE('a) syntax;
5814 * theory aliases via merge (e.g. M=A+B+C) no longer supported, always
5815 creates a new theory node; implicit merge of thms' signatures is
5816 restricted to 'trivial' ones; COMPATIBILITY: one may have to use
5817 transfer:theory->thm->thm in (rare) cases;
5819 * improved handling of draft signatures / theories; draft thms (and
5820 ctyps, cterms) are automatically promoted to real ones;
5822 * slightly changed interfaces for oracles: admit many per theory, named
5823 (e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
5825 * print_goals: optional output of const types (set show_consts and
5828 * improved output of warnings (###) and errors (***);
5830 * subgoal_tac displays a warning if the new subgoal has type variables;
5832 * removed old README and Makefiles;
5834 * replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
5836 * removed obsolete init_pps and init_database;
5838 * deleted the obsolete tactical STATE, which was declared by
5839 fun STATE tacfun st = tacfun st st;
5841 * cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
5842 (which abbreviates $HOME);
5844 * changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
5845 use isatool fixseq to adapt your ML programs (this works for fully
5846 qualified references to the Sequence structure only!);
5848 * use_thy no longer requires writable current directory; it always
5849 reloads .ML *and* .thy file, if either one is out of date;
5852 *** Classical Reasoner ***
5854 * Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
5855 tactics that use classical reasoning to simplify a subgoal without
5856 splitting it into several subgoals;
5858 * Safe_tac: like safe_tac but uses the default claset;
5863 * added simplification meta rules:
5864 (asm_)(full_)simplify: simpset -> thm -> thm;
5866 * simplifier.ML no longer part of Pure -- has to be loaded by object
5869 * added prems argument to simplification procedures;
5871 * HOL, FOL, ZF: added infix function `addsplits':
5872 instead of `<simpset> setloop (split_tac <thms>)'
5873 you can simply write `<simpset> addsplits <thms>'
5878 * TYPE('a) syntax for type reflection terms;
5880 * no longer handles consts with name "" -- declare as 'syntax' instead;
5882 * pretty printer: changed order of mixfix annotation preference (again!);
5884 * Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
5889 * HOL: there is a new splitter `split_asm_tac' that can be used e.g.
5890 with `addloop' of the simplifier to faciliate case splitting in premises.
5892 * HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
5894 * HOL/Auth: new protocol proofs including some for the Internet
5897 * HOL/Map: new theory of `maps' a la VDM;
5899 * HOL/simplifier: simplification procedures nat_cancel_sums for
5900 cancelling out common nat summands from =, <, <= (in)equalities, or
5901 differences; simplification procedures nat_cancel_factor for
5902 cancelling common factor from =, <, <= (in)equalities over natural
5903 sums; nat_cancel contains both kinds of procedures, it is installed by
5904 default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
5906 * HOL/simplifier: terms of the form
5907 `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)' (or t=x)
5909 `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
5910 and those of the form
5911 `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)' (or t=x)
5913 `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
5916 Each datatype `t' now comes with a theorem `split_t_case' of the form
5918 P(t_case f1 ... fn x) =
5919 ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
5921 (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
5924 and a theorem `split_t_case_asm' of the form
5926 P(t_case f1 ... fn x) =
5927 ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
5929 (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
5931 which can be added to a simpset via `addsplits'. The existing theorems
5932 expand_list_case and expand_option_case have been renamed to
5933 split_list_case and split_option_case.
5936 - `pred n' is automatically converted to `n-1'.
5937 Users are strongly encouraged not to use `pred' any longer,
5938 because it will disappear altogether at some point.
5939 - Users are strongly encouraged to write "0 < n" rather than
5940 "n ~= 0". Theorems and proof tools have been modified towards this
5944 the function "set_of_list" has been renamed "set" (and its theorems too);
5945 the function "nth" now takes its arguments in the reverse order and
5946 has acquired the infix notation "!" as in "xs!n".
5948 * HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
5950 * HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
5951 specialist theorems (like UN1_I) are gone. Similarly for (INT x.B x);
5953 * HOL/record: extensible records with schematic structural subtyping
5954 (single inheritance); EXPERIMENTAL version demonstrating the encoding,
5955 still lacks various theorems and concrete record syntax;
5960 * removed "axioms" and "generated by" sections;
5962 * replaced "ops" section by extended "consts" section, which is capable of
5963 handling the continuous function space "->" directly;
5966 . proves theorems immediately and stores them in the theory,
5967 . creates hierachical name space,
5968 . now uses normal mixfix annotations (instead of cinfix...),
5969 . minor changes to some names and values (for consistency),
5970 . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
5971 . separator between mutual domain defs: changed "," to "and",
5972 . improved handling of sort constraints; now they have to
5973 appear on the left-hand side of the equations only;
5975 * fixed LAM <x,y,zs>.b syntax;
5977 * added extended adm_tac to simplifier in HOLCF -- can now discharge
5978 adm (%x. P (t x)), where P is chainfinite and t continuous;
5983 * FOL: there is a new splitter `split_asm_tac' that can be used e.g.
5984 with `addloop' of the simplifier to faciliate case splitting in premises.
5986 * qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
5987 in HOL, they strip ALL and --> from proved theorems;
5991 New in Isabelle94-8 (May 1997)
5992 ------------------------------
5994 *** General Changes ***
5996 * new utilities to build / run / maintain Isabelle etc. (in parts
5997 still somewhat experimental); old Makefiles etc. still functional;
5999 * new 'Isabelle System Manual';
6001 * INSTALL text, together with ./configure and ./build scripts;
6003 * reimplemented type inference for greater efficiency, better error
6004 messages and clean internal interface;
6006 * prlim command for dealing with lots of subgoals (an easier way of
6007 setting goals_limit);
6012 * supports alternative (named) syntax tables (parser and pretty
6013 printer); internal interface is provided by add_modesyntax(_i);
6015 * Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
6016 be used in conjunction with the Isabelle symbol font; uses the
6017 "symbols" syntax table;
6019 * added token_translation interface (may translate name tokens in
6020 arbitrary ways, dependent on their type (free, bound, tfree, ...) and
6021 the current print_mode); IMPORTANT: user print translation functions
6022 are responsible for marking newly introduced bounds
6023 (Syntax.mark_boundT);
6025 * token translations for modes "xterm" and "xterm_color" that display
6026 names in bold, underline etc. or colors (which requires a color
6029 * infixes may now be declared with names independent of their syntax;
6031 * added typed_print_translation (like print_translation, but may
6032 access type of constant);
6035 *** Classical Reasoner ***
6037 Blast_tac: a new tactic! It is often more powerful than fast_tac, but has
6038 some limitations. Blast_tac...
6039 + ignores addss, addbefore, addafter; this restriction is intrinsic
6040 + ignores elimination rules that don't have the correct format
6041 (the conclusion MUST be a formula variable)
6042 + ignores types, which can make HOL proofs fail
6043 + rules must not require higher-order unification, e.g. apply_type in ZF
6044 [message "Function Var's argument not a bound variable" relates to this]
6045 + its proof strategy is more general but can actually be slower
6047 * substitution with equality assumptions no longer permutes other
6050 * minor changes in semantics of addafter (now called addaltern); renamed
6051 setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
6052 (and access functions for it);
6054 * improved combination of classical reasoner and simplifier:
6055 + functions for handling clasimpsets
6056 + improvement of addss: now the simplifier is called _after_ the
6058 + safe variant of addss called addSss: uses safe simplifications
6059 _during_ the safe steps. It is more complete as it allows multiple
6060 instantiations of unknowns (e.g. with slow_tac).
6064 * added interface for simplification procedures (functions that
6065 produce *proven* rewrite rules on the fly, depending on current
6068 * ordering on terms as parameter (used for ordered rewriting);
6070 * new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
6072 * the solver is now split into a safe and an unsafe part.
6073 This should be invisible for the normal user, except that the
6074 functions setsolver and addsolver have been renamed to setSolver and
6075 addSolver; added safe_asm_full_simp_tac;
6080 * a generic induction tactic `induct_tac' which works for all datatypes and
6081 also for type `nat';
6083 * a generic case distinction tactic `exhaust_tac' which works for all
6084 datatypes and also for type `nat';
6086 * each datatype comes with a function `size';
6088 * patterns in case expressions allow tuple patterns as arguments to
6089 constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
6091 * primrec now also works with type nat;
6093 * recdef: a new declaration form, allows general recursive functions to be
6094 defined in theory files. See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
6096 * the constant for negation has been renamed from "not" to "Not" to
6097 harmonize with FOL, ZF, LK, etc.;
6099 * HOL/ex/LFilter theory of a corecursive "filter" functional for
6102 * HOL/Modelcheck demonstrates invocation of model checker oracle;
6104 * HOL/ex/Ring.thy declares cring_simp, which solves equational
6105 problems in commutative rings, using axiomatic type classes for + and *;
6107 * more examples in HOL/MiniML and HOL/Auth;
6109 * more default rewrite rules for quantifiers, union/intersection;
6111 * a new constant `arbitrary == @x.False';
6113 * HOLCF/IOA replaces old HOL/IOA;
6115 * HOLCF changes: derived all rules and arities
6116 + axiomatic type classes instead of classes
6117 + typedef instead of faking type definitions
6118 + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
6119 + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
6120 + eliminated the types void, one, tr
6121 + use unit lift and bool lift (with translations) instead of one and tr
6122 + eliminated blift from Lift3.thy (use Def instead of blift)
6123 all eliminated rules are derived as theorems --> no visible changes ;
6128 * ZF now has Fast_tac, Simp_tac and Auto_tac. Union_iff is a now a default
6129 rewrite rule; this may affect some proofs. eq_cs is gone but can be put back
6130 as ZF_cs addSIs [equalityI];
6134 New in Isabelle94-7 (November 96)
6135 ---------------------------------
6137 * allowing negative levels (as offsets) in prlev and choplev;
6139 * super-linear speedup for large simplifications;
6141 * FOL, ZF and HOL now use miniscoping: rewriting pushes
6142 quantifications in as far as possible (COULD MAKE EXISTING PROOFS
6143 FAIL); can suppress it using the command Delsimps (ex_simps @
6144 all_simps); De Morgan laws are also now included, by default;
6146 * improved printing of ==> : ~:
6148 * new object-logic "Sequents" adds linear logic, while replacing LK
6149 and Modal (thanks to Sara Kalvala);
6151 * HOL/Auth: correctness proofs for authentication protocols;
6153 * HOL: new auto_tac combines rewriting and classical reasoning (many
6154 examples on HOL/Auth);
6156 * HOL: new command AddIffs for declaring theorems of the form P=Q to
6157 the rewriter and classical reasoner simultaneously;
6159 * function uresult no longer returns theorems in "standard" format;
6160 regain previous version by: val uresult = standard o uresult;
6167 * oracles -- these establish an interface between Isabelle and trusted
6168 external reasoners, which may deliver results as theorems;
6170 * proof objects (in particular record all uses of oracles);
6172 * Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
6174 * "constdefs" section in theory files;
6176 * "primrec" section (HOL) no longer requires names;
6178 * internal type "tactic" now simply "thm -> thm Sequence.seq";
6185 * reduced space requirements;
6187 * automatic HTML generation from theories;
6189 * theory files no longer require "..." (quotes) around most types;
6191 * new examples, including two proofs of the Church-Rosser theorem;
6193 * non-curried (1994) version of HOL is no longer distributed;
6200 * greatly reduced space requirements;
6202 * theory files (.thy) no longer require \...\ escapes at line breaks;
6204 * searchable theorem database (see the section "Retrieving theorems" on
6205 page 8 of the Reference Manual);
6207 * new examples, including Grabczewski's monumental case study of the
6210 * The previous version of HOL renamed to Old_HOL;
6212 * The new version of HOL (previously called CHOL) uses a curried syntax
6213 for functions. Application looks like f a b instead of f(a,b);
6215 * Mutually recursive inductive definitions finally work in HOL;
6217 * In ZF, pattern-matching on tuples is now available in all abstractions and
6218 translates to the operator "split";
6225 * new infix operator, addss, allowing the classical reasoner to
6226 perform simplification at each step of its search. Example:
6227 fast_tac (cs addss ss)
6229 * a new logic, CHOL, the same as HOL, but with a curried syntax
6230 for functions. Application looks like f a b instead of f(a,b). Also pairs
6231 look like (a,b) instead of <a,b>;
6233 * PLEASE NOTE: CHOL will eventually replace HOL!
6235 * In CHOL, pattern-matching on tuples is now available in all abstractions.
6236 It translates to the operator "split". A new theory of integers is available;
6238 * In ZF, integer numerals now denote two's-complement binary integers.
6239 Arithmetic operations can be performed by rewriting. See ZF/ex/Bin.ML;
6241 * Many new examples: I/O automata, Church-Rosser theorem, equivalents
6242 of the Axiom of Choice;
6249 * Significantly faster resolution;
6251 * the different sections in a .thy file can now be mixed and repeated
6254 * Database of theorems for FOL, HOL and ZF. New
6255 commands including qed, qed_goal and bind_thm store theorems in the database.
6257 * Simple database queries: return a named theorem (get_thm) or all theorems of
6258 a given theory (thms_of), or find out what theory a theorem was proved in
6261 * Bugs fixed in the inductive definition and datatype packages;