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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 "collect-forced-goals")
(include-book "assumptions-compiler")
(include-book "beta-compiler")
(include-book "crewrite-if-general-compiler")
(include-book "crewrite-if-same-compiler")
(include-book "crewrite-rule-compiler")
(include-book "equiv-by-args-compiler")
(include-book "fail-compiler")
(include-book "force-compiler")
(include-book "ground-compiler")
(include-book "if-specialcase-nil-compiler")
(include-book "if-specialcase-t-compiler")
(include-book "lambda-compiler")
(include-book "negative-if-compiler")
(include-book "not-compiler")
(include-book "transitivity-compiler")
(include-book "urewrite-if-general-compiler")
(include-book "urewrite-if-same-compiler")
(include-book "urewrite-rule-compiler")
(include-book "weakening-compiler")
(include-book "trace-arities")
(%interactive)
(%autoadmit rw.compile-trace-step)
(encapsulate
()
(local (%enable default
rw.trace-step-okp
rw.trace-step-env-okp
rw.compile-trace-step))
(%autoprove rw.compile-trace-step-under-iff)
(%autoprove forcing-logic.appealp-of-rw.compile-trace-step)
(%autoprove forcing-logic.conclusion-of-rw.compile-trace-step)
(%autoprove forcing-logic.proofp-of-rw.compile-trace-step))
(%autoadmit rw.flag-compile-trace)
(%autoadmit rw.compile-trace)
(%autoadmit rw.compile-trace-list)
(%autoprove definition-of-rw.compile-trace
(%restrict default rw.flag-compile-trace (equal x 'x))
(%enable default rw.compile-trace rw.compile-trace-list))
(%autoprove definition-of-rw.compile-trace-list
(%restrict default rw.flag-compile-trace (equal x 'x))
(%enable default rw.compile-trace rw.compile-trace-list))
(%autoprove rw.flag-compile-trace-of-term-removal
(%enable default rw.compile-trace))
(%autoprove rw.flag-compile-trace-of-list-removal
(%enable default rw.compile-trace-list))
(%autoprove lemma-for-forcing-logic.appealp-of-rw.compile-trace
(%rw.trace-induction flag x)
(%auto :strategy (cleanup split urewrite crewrite dist))
(%restrict default definition-of-rw.compile-trace (equal x 'x))
(%restrict default definition-of-rw.compile-trace-list (equal x 'x)))
(%autoprove forcing-logic.appealp-of-rw.compile-trace
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-rw.compile-trace)
(flag 'term))))
(%autoprove forcing-logic.conclusion-of-rw.compile-trace
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-rw.compile-trace)
(flag 'term))))
(%autoprove forcing-logic.appeal-listp-of-rw.compile-trace-list
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-rw.compile-trace)
(flag 'list))))
(%autoprove forcing-logic.strip-conclusions-of-rw.compile-trace-list
(%use (%instance (%thm lemma-for-forcing-logic.appealp-of-rw.compile-trace)
(flag 'list))))
(%autoprove lemma-for-forcing-logic.proofp-of-rw.compile-trace
(%rw.trace-induction flag x)
;; The case-split is too severe, but we can cut it down with some
;; selective urewriting.
;; BOZO this is pretty horrible. It'd be nice if we could just tell
;; %auto to use a specific theory like temp, instead of having to mangle
;; default. Also, I worry that the enabling might linearize the lookup
;; structure. We should write some code to balance it.
(%create-theory temp :copy-of default)
(%disable default default)
(%enable default
equal-of-nil-one
equal-of-nil-two
iff-of-nil-one
iff-of-nil-two
iff-of-t-left
iff-of-t-right
implies-of-self
implies-of-t-left
implies-of-t-right
implies-of-nil-left
implies-of-nil-right)
(%auto :strategy (urewrite split))
(%enable default temp)
(%disable default
formula-decomposition
type-set-like-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
same-length-prefixes-equal-cheap
expensive-term/formula-inference
unusual-consp-rules)
(%auto :strategy (cleanup split urewrite crewrite))
(%restrict default definition-of-rw.compile-trace (equal x 'x))
(%restrict default definition-of-rw.compile-trace-list (equal x 'x))
(%auto :strategy (cleanup split urewrite crewrite))
(%enable default
type-set-like-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two))
(%autoprove forcing-logic.proofp-of-rw.compile-trace
(%use (%instance (%thm lemma-for-forcing-logic.proofp-of-rw.compile-trace)
(flag 'term))))
(%autoprove forcing-logic.proof-listp-of-rw.compile-trace
(%use (%instance (%thm lemma-for-forcing-logic.proofp-of-rw.compile-trace)
(flag 'list))))
(%autoadmit rw.compile-trace-okp)
(%autoprove forcing-logic.appeal-listp-of-logic.find-proofs
(%cdr-induction formulas))
(%autoprove forcing-logic.strip-conclusions-of-logic.find-proofs
(%cdr-induction formulas))
(%autoadmit rw.compile-trace-high)
(%autoprove rw.compile-trace-okp-of-rw.compile-trace-high
(%enable default
rw.compile-trace-high
rw.compile-trace-okp))
(encapsulate
()
(local (%enable default rw.compile-trace-okp))
(%autoprove booleanp-of-rw.compile-trace-okp)
(%autoprove rw.compile-trace-okp-of-logic.appeal-identity)
(%autoprove lemma-0-for-soundness-of-rw.compile-trace-okp)
(local (%enable default lemma-0-for-soundness-of-rw.compile-trace-okp))
(%autoprove lemma-1-for-soundness-of-rw.compile-trace-okp
(%forcingp nil))
(%autoprove lemma-2-for-soundness-of-rw.compile-trace-okp)
(%autoprove forcing-soundness-of-rw.compile-trace-okp
(%enable default
lemma-1-for-soundness-of-rw.compile-trace-okp
lemma-2-for-soundness-of-rw.compile-trace-okp)
(%use (%instance (%thm forcing-logic.provablep-when-logic.proofp)
(x (rw.compile-trace (logic.extras x)
defs
(logic.provable-list-witness (logic.strip-conclusions (logic.subproofs x))
axioms thms atbl)))))))
(%ensure-exactly-these-rules-are-missing "../../rewrite/traces/trace-compiler")
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