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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 "disjoined-update-clause-bldr-support")
(include-book "fuse")
(%interactive)
(%autoadmit clause.aux-disjoined-update-clause-bldr)
(local (%enable default logic.term-formula))
(%autoprove clause.aux-disjoined-update-clause-bldr-under-iff
(%autoinduct clause.aux-disjoined-update-clause-bldr)
(%restrict default clause.aux-disjoined-update-clause-bldr (equal todo 'todo)))
(defthm lemma-for-forcing-logic.appealp-of-clause.aux-disjoined-update-clause-bldr
;; BOZO unlocalize/rename in clauses/disjoined-update-clause-bldr
(implies (and (logic.formulap p)
(logic.term-listp todo)
(logic.term-listp done)
(or (consp todo) (consp done))
(logic.appealp proof)
(logic.appeal-listp t-proofs)
(equal (logic.conclusion proof)
(cond ((and (consp done) (consp todo))
(logic.por p (logic.por (clause.clause-formula done)
(clause.clause-formula todo))))
((consp done)
(logic.por p (clause.clause-formula done)))
(t
(logic.por p (clause.clause-formula todo)))))
(logic.all-disjunctionsp (logic.strip-conclusions t-proofs))
(all-equalp p (logic.vlhses (logic.strip-conclusions t-proofs)))
(logic.all-atomicp (logic.vrhses (logic.strip-conclusions t-proofs)))
(equal (logic.=rhses (logic.vrhses (logic.strip-conclusions t-proofs))) todo))
(and (logic.appealp (clause.aux-disjoined-update-clause-bldr p todo done t-proofs proof))
(equal (logic.conclusion (clause.aux-disjoined-update-clause-bldr p todo done t-proofs proof))
(logic.por p (clause.clause-formula (app (rev (logic.=lhses (logic.vrhses (logic.strip-conclusions t-proofs)))) done))))))
;;:hints(("Goal"
;; :induct (clause.aux-disjoined-update-clause-bldr p todo done t-proofs proof))))
:rule-classes nil
)
(%autoprove lemma-for-forcing-logic.appealp-of-clause.aux-disjoined-update-clause-bldr
(%autoinduct clause.aux-disjoined-update-clause-bldr)
(%forcingp nil)
(%disable default
type-set-like-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
unusual-consp-rules
expensive-term/formula-inference
formula-decomposition
same-length-prefixes-equal-cheap
unusual-subsetp-rules
unusual-memberp-rules)
(%auto :strategy (cleanup split urewrite crewrite))
(%restrict default clause.aux-disjoined-update-clause-bldr (equal todo 'todo))
(%enable default expensive-term/formula-inference)
(%auto :strategy (cleanup split urewrite crewrite))
(%enable default formula-decomposition)
(%auto))
(%autoprove forcing-logic.appealp-of-clause.aux-disjoined-update-clause-bldr
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-clause.aux-disjoined-update-clause-bldr))))
(%autoprove forcing-logic.conclusion-of-clause.aux-disjoined-update-clause-bldr
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-clause.aux-disjoined-update-clause-bldr))))
(%autoprove forcing-logic.proofp-of-clause.aux-disjoined-update-clause-bldr
(%autoinduct clause.aux-disjoined-update-clause-bldr)
(%forcingp nil)
(%disable default
type-set-like-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
unusual-consp-rules
expensive-term/formula-inference
formula-decomposition
same-length-prefixes-equal-cheap
unusual-subsetp-rules
unusual-memberp-rules)
(%auto :strategy (cleanup split urewrite crewrite))
(%restrict default clause.aux-disjoined-update-clause-bldr (equal todo 'todo))
(%enable default expensive-term/formula-inference)
(%auto :strategy (cleanup split urewrite crewrite))
(%enable default formula-decomposition)
(%auto))
;; (%enable default build.disjoined-rev-disjunction)
(%autoadmit clause.disjoined-update-clause-bldr)
(encapsulate
()
(local (%enable default
clause.disjoined-update-clause-bldr
build.disjoined-rev-disjunction))
(%autoprove clause.disjoined-update-clause-bldr-under-iff)
(%autoprove forcing-logic.appealp-of-clause.disjoined-update-clause-bldr)
(%autoprove forcing-logic.conclusion-of-clause.disjoined-update-clause-bldr)
(%autoprove forcing-logic.proofp-of-clause.disjoined-update-clause-bldr))
(defsection clause.disjoined-update-clause-bldr-okp
(%autoadmit clause.disjoined-update-clause-bldr-okp)
(%autoprove booleanp-of-clause.disjoined-update-clause-bldr-okp
(%enable default clause.disjoined-update-clause-bldr-okp))
(%autoprove clause.disjoined-update-clause-bldr-okp-of-logic.appeal-identity
(%enable default clause.disjoined-update-clause-bldr-okp))
(local (%enable default backtracking-logic.formula-atblp-rules))
(local (%disable default
forcing-logic.formula-atblp-rules
forcing-lookup-of-logic.function-name-free))
(%autoprove lemma-1-for-soundness-of-clause.disjoined-update-clause-bldr-okp
(%enable default clause.disjoined-update-clause-bldr-okp))
(%autoprove lemma-2-for-soundness-of-clause.disjoined-update-clause-bldr-okp
(%enable default clause.disjoined-update-clause-bldr-okp))
(%autoprove forcing-soundness-of-clause.disjoined-update-clause-bldr-okp
(%disable default [OUTSIDE]CONSP-OF-LOGIC.STRIP-CONCLUSIONS) ;; why is this a problem??
(%enable default
lemma-1-for-soundness-of-clause.disjoined-update-clause-bldr-okp
lemma-2-for-soundness-of-clause.disjoined-update-clause-bldr-okp)
(%use (%instance (%thm forcing-logic.provablep-when-logic.proofp)
(x (clause.disjoined-update-clause-bldr
(logic.=rhses
(logic.vrhses
(logic.strip-conclusions
(logic.provable-list-witness (logic.strip-conclusions (cdr (logic.subproofs x)))
axioms thms atbl))))
(logic.provable-witness (logic.conclusion (car (logic.subproofs x))) axioms thms atbl)
(logic.provable-list-witness (logic.strip-conclusions (cdr (logic.subproofs x)))
axioms thms atbl)))))
(%forcingp nil)
(%auto :strategy (cleanup split crewrite))
(%enable default clause.disjoined-update-clause-bldr-okp)
(%auto)))
|
