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|
; Milawa - A Reflective Theorem Prover
; Copyright (C) 2005-2009 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@kookamara.com>
(in-package "MILAWA")
(include-book "fast-crewrite-clause")
(%interactive)
(%autoprove nth-of-cons-when-constantp
(%restrict default nth (equal n 'n)))
(%autoprove rw.crewrite-clause-aux-of-nil
(%restrict default rw.crewrite-clause-aux (equal todo ''nil)))
(%autoprove rw.crewrite-clause-of-nil
(%enable default rw.crewrite-clause))
(%autoprove tactic.world->index-under-iff
(%disable default forcing-natp-of-tactic.world->index)
(%use (%instance (%thm forcing-natp-of-tactic.world->index))))
(%autoprove tactic.find-world-of-nil
(%cdr-induction worlds)
(%restrict default tactic.find-world (equal worlds 'worlds)))
(%autoadmit rw.make-crewrite-clause-plan)
(%autoadmit rw.crewrite-clause-planp)
(%autoadmit rw.crewrite-clause-plan-okp)
(%autoadmit rw.crewrite-clause-plan-atblp)
(%autoadmit rw.crewrite-clause-plan->progressp)
(%autoadmit rw.crewrite-clause-plan->clause)
(%autoadmit rw.crewrite-clause-plan->provedp)
(%autoadmit rw.crewrite-clause-plan->clause-prime)
(%autoadmit rw.crewrite-clause-plan->forced-goals)
(%autoadmit rw.crewrite-clause-plan-compiler)
(%autoprove lemma-1-for-rw.crewrite-clause-plan)
(%autoprove lemma-2-for-rw.crewrite-clause-plan)
(%autoprove lemma-3-for-rw.crewrite-clause-plan)
(%autoprove lemma-4-for-rw.crewrite-clause-plan)
(%autoprove lemma-5-for-rw.crewrite-clause-plan)
(%autoprove lemma-6-for-rw.crewrite-clause-plan)
(%autoprove lemma-7-for-rw.crewrite-clause-plan)
(%autoprove lemma-8-for-rw.crewrite-clause-plan)
(%autoprove lemma-9-for-rw.crewrite-clause-plan)
(%autoprove lemma-10-for-rw.crewrite-clause-plan)
(%autoprove lemma-11-for-rw.crewrite-clause-plan)
(encapsulate
()
(local (%enable default
lemma-1-for-rw.crewrite-clause-plan
lemma-2-for-rw.crewrite-clause-plan
lemma-3-for-rw.crewrite-clause-plan
lemma-4-for-rw.crewrite-clause-plan
lemma-5-for-rw.crewrite-clause-plan
lemma-6-for-rw.crewrite-clause-plan
lemma-7-for-rw.crewrite-clause-plan
lemma-8-for-rw.crewrite-clause-plan
lemma-9-for-rw.crewrite-clause-plan
lemma-10-for-rw.crewrite-clause-plan
lemma-11-for-rw.crewrite-clause-plan))
(local (%enable default
rw.make-crewrite-clause-plan
rw.crewrite-clause-planp
rw.crewrite-clause-plan-okp
rw.crewrite-clause-plan-atblp
rw.crewrite-clause-plan->clause
rw.crewrite-clause-plan->provedp
rw.crewrite-clause-plan->clause-prime
rw.crewrite-clause-plan->forced-goals
rw.crewrite-clause-plan-compiler))
(%autoprove booleanp-of-rw.crewrite-clause-planp)
(%autoprove booleanp-of-rw.crewrite-clause-plan-okp)
(%autoprove booleanp-of-rw.crewrite-clause-plan-atblp)
(%autoprove consp-of-rw.crewrite-clause-plan->clause-prime)
(%autoprove logic.term-listp-of-rw.crewrite-clause-plan->clause-prime)
(%autoprove true-listp-of-rw.crewrite-clause-plan->forced-goals)
(%autoprove logic.formula-listp-of-rw.crewrite-clause-plan->forced-goals)
(%autoprove logic.formula-list-atblp-of-rw.crewrite-clause-plan->forced-goals)
(%autoprove rw.crewrite-clause-plan->clause-of-rw.make-crewrite-clause-plan)
(%autoprove rw.crewrite-clause-planp-of-rw.make-crewrite-clause-plan)
(%autoprove rw.crewrite-clause-plan-okp-of-rw.make-crewrite-clause-plan)
(%autoprove rw.crewrite-clause-plan-atblp-of-rw.make-crewrite-clause-plan)
(%autoprove logic.appealp-of-rw.crewrite-clause-plan-compiler)
(%autoprove logic.conclusion-of-rw.crewrite-clause-plan-compiler)
(%autoprove logic.proofp-of-rw.crewrite-clause-plan-compiler
(%disable default
type-set-like-rules
expensive-term/formula-inference
formula-decomposition
expensive-arithmetic-rules
expensive-arithmetic-rules-two
unusual-memberp-rules
unusual-subsetp-rules
unusual-consp-rules)))
(%deflist rw.crewrite-clause-plan-listp (x)
(rw.crewrite-clause-planp x))
(%deflist rw.crewrite-clause-plan-list-okp (x world)
(rw.crewrite-clause-plan-okp x world))
(%deflist rw.crewrite-clause-plan-list-atblp (x atbl)
(rw.crewrite-clause-plan-atblp x atbl))
(%defprojection :list (rw.make-crewrite-clause-plan-list x fastp theoryname world)
:element (rw.make-crewrite-clause-plan x fastp theoryname world))
(%autoadmit rw.crewrite-clause-plan-list->progressp)
(%defprojection :list (rw.crewrite-clause-plan-list->clauses x)
:element (rw.crewrite-clause-plan->clause x))
(%autoprove rw.crewrite-clause-plan-list->clauses-of-rw.make-crewrite-clause-plan-list
(%cdr-induction x))
(%autoadmit rw.crewrite-clause-plan-list->clauses-prime)
(%autoprove cons-listp-of-rw.crewrite-clause-plan-list->clauses-prime
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->clauses-prime
(equal x 'x)))
(%autoprove logic.term-list-listp-of-rw.crewrite-clause-plan-list->clauses-prime
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->clauses-prime
(equal x 'x)))
(%autoadmit rw.crewrite-clause-plan-list->forced-goals)
(%autoprove true-listp-of-rw.crewrite-clause-plan-list->forced-goals
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->forced-goals
(equal x 'x)))
(%autoprove logic.formula-listp-of-rw.crewrite-clause-plan-list->forced-goals
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->forced-goals
(equal x 'x)))
(%autoprove logic.formula-list-atblp-of-rw.crewrite-clause-plan-list->forced-goals
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->forced-goals
(equal x 'x)))
(%autoprove rw.crewrite-clause-plan-listp-of-rw.make-crewrite-clause-plan-list
(%cdr-induction x))
(%autoprove rw.crewrite-clause-plan-list-okp-of-rw.make-crewrite-clause-plan-list
(%cdr-induction x))
(%autoprove rw.crewrite-clause-plan-list-atblp-of-rw.make-crewrite-clause-plan-list
(%cdr-induction x))
(%autoadmit rw.crewrite-clause-plan-list-compiler)
(%autoprove logic.appeal-listp-of-rw.crewrite-clause-plan-list-compiler
(%autoinduct rw.crewrite-clause-plan-list-compiler x world proofs fproofs)
(%restrict default rw.crewrite-clause-plan-list-compiler (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->clauses-prime (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->forced-goals (equal x 'x)))
(%autoprove logic.strip-conclusions-of-rw.crewrite-clause-plan-list-compiler
(%autoinduct rw.crewrite-clause-plan-list-compiler x world proofs fproofs)
(%restrict default rw.crewrite-clause-plan-list-compiler (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->clauses-prime (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->forced-goals (equal x 'x))
(%forcingp nil))
(%autoprove logic.proof-listp-of-rw.crewrite-clause-plan-list-compiler
(%autoinduct rw.crewrite-clause-plan-list-compiler x world proofs fproofs)
(%restrict default rw.crewrite-clause-plan-list-compiler (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->clauses-prime (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list->forced-goals (equal x 'x))
(%forcingp nil)
(%disable default unusual-consp-rules unusual-memberp-rules))
(%autoprove rw.crewrite-clause-plan-atblp-removal
(%enable default
rw.crewrite-clause-plan-atblp
rw.crewrite-clause-plan->clause))
(%autoprove rw.crewrite-clause-plan-list-atblp-removal
(%cdr-induction x)
(%restrict default rw.crewrite-clause-plan-list->clauses (equal x 'x))
(%restrict default rw.crewrite-clause-plan-list-atblp (equal x 'x)))
(%autoprove consp-of-rw.crewrite-clause-plan->clause
(%enable default
rw.crewrite-clause-planp
rw.crewrite-clause-plan->clause))
(%autoprove logic.term-listp-of-rw.crewrite-clause-plan->clause
(%enable default
rw.crewrite-clause-planp
rw.crewrite-clause-plan->clause))
(%autoadmit rw.crewrite-clause-plan-compiler-high)
(%autoadmit rw.crewrite-clause-plan-compiler-okp)
(%autoprove rw.crewrite-clause-plan-compiler-okp-of-rw.crewrite-clause-plan-compiler-high
(%enable default
rw.crewrite-clause-plan-compiler-okp
rw.crewrite-clause-plan-compiler-high))
(encapsulate
()
(local (%enable default rw.crewrite-clause-plan-compiler-okp))
(%autoprove booleanp-of-rw.crewrite-clause-plan-compiler-okp)
(%autoprove rw.crewrite-clause-plan-compiler-okp-of-logic.appeal-identity)
(%autoprove lemma-1-for-soundness-of-rw.crewrite-clause-plan-compiler-okp)
(%autoprove lemma-2-for-soundness-of-rw.crewrite-clause-plan-compiler-okp
(%disable default
unusual-subsetp-rules
unusual-memberp-rules
unusual-consp-rules))
(%autoprove forcing-soundness-of-rw.crewrite-clause-plan-compiler-okp
(%disable default
unusual-subsetp-rules
unusual-memberp-rules
unusual-consp-rules)
(%use (%instance (%thm lemma-1-for-soundness-of-rw.crewrite-clause-plan-compiler-okp)))
(%use (%instance (%thm lemma-2-for-soundness-of-rw.crewrite-clause-plan-compiler-okp)))
(%use (%instance (%thm forcing-logic.provablep-when-logic.proofp)
(x (let* ((plan (second (logic.extras x)))
(world (tactic.find-world (first (logic.extras x)) worlds))
(provedp (rw.crewrite-clause-plan->provedp plan))
(subproofs* (logic.provable-list-witness
(logic.strip-conclusions (logic.subproofs x))
axioms thms atbl))
(proof (if provedp nil (car subproofs*)))
(fproofs (if provedp subproofs* (cdr subproofs*))))
(rw.crewrite-clause-plan-compiler plan world proof fproofs)))))))
(%ensure-exactly-these-rules-are-missing "../../tactics/crewrite-world")
|
