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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 "terms-3")
(%interactive)
(%autoadmit logic.flag-term-atblp)
(%autoadmit logic.term-atblp)
(%autoadmit logic.term-list-atblp)
(%autoprove definition-of-logic.term-atblp
(%enable default logic.term-atblp logic.term-list-atblp)
(%restrict default logic.flag-term-atblp (equal x 'x)))
(%autoprove definition-of-logic.term-list-atblp
(%enable default logic.term-atblp logic.term-list-atblp)
(%restrict default logic.flag-term-atblp (equal x 'x)))
(%autoprove logic.term-list-atblp-when-not-consp
(%restrict default definition-of-logic.term-list-atblp (equal x 'x)))
(%autoprove logic.term-list-atblp-of-cons
(%restrict default definition-of-logic.term-list-atblp (equal x '(cons a x))))
(%autoprove lemma-for-booleanp-of-logic.term-atblp
(%logic.term-induction flag x)
(local (%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%auto :strategy (cleanup split crewrite elim)))
(%autoprove booleanp-of-logic.term-atblp
(%use (%instance (%thm lemma-for-booleanp-of-logic.term-atblp) (flag 'term))))
(%autoprove booleanp-of-logic.term-list-atblp
(%use (%instance (%thm lemma-for-booleanp-of-logic.term-atblp) (flag 'list))))
(%autoprove logic.term-atblp-of-nil
(%restrict default definition-of-logic.term-atblp (equal x ''nil)))
(%deflist logic.term-list-atblp (x atbl)
(logic.term-atblp x atbl))
(%deflist logic.term-list-list-atblp (x atbl)
(logic.term-list-atblp x atbl))
(%autoprove logic.term-atblp-when-logic.variablep
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove logic.term-atblp-when-logic.constantp
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove logic.term-list-atblp-when-logic.constant-listp
(%cdr-induction x))
(%autoprove logic.term-list-atblp-when-logic.variable-listp
(%cdr-induction x))
(%autoprove forcing-logic.term-atblp-of-logic.function
(%restrict default definition-of-logic.term-atblp (equal x '(logic.function name args))))
(%autoprove forcing-logic.term-atblp-of-logic.lambda
(%disable default logic.lambdap-when-not-anything-else-maybe-expensive)
(%restrict default definition-of-logic.term-atblp (equal x '(logic.lambda formals body actuals))))
(%autoprove forcing-logic.term-list-atblp-of-logic.function-args
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove forcing-logic.term-list-atblp-of-logic.lambda-actuals
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove forcing-logic.term-atblp-of-logic.lambda-body
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove logic.term-list-atblp-of-strip-firsts-when-logic.term-list-listp
(%cdr-induction x))
(%autoprove forcing-lookup-of-logic.function-name
(%disable default forcing-logic.term-list-atblp-of-logic.function-args)
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove forcing-lookup-of-logic.function-name-free)
(%autoprove lemma-1-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table)
(%autoprove lemma-2-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table
;; BOZO previously we were using a backchain limit on this submapp
;; call in the Milawa-proof only. Do we need to have that or is
;; the proof still reasonable?
(%use (%instance (%thm equal-of-lookups-when-submapp) (a name) (x atbl) (y atbl2))))
(%autoprove lemma-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table
(%logic.term-induction flag x)
(%auto :strategy (cleanup split))
(%enable default
lemma-1-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table
lemma-2-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table)
(%forcingp nil)
(%auto)
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%autoprove logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table
(%use (%instance (%thm lemma-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table) (flag 'term))))
(%autoprove logic.term-list-atblp-when-logic.term-list-atblp-in-smaller-arity-table
(%use (%instance (%thm lemma-for-logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table) (flag 'list))))
(%autoprove logic.term-atblp-when-logic.term-atblp-in-smaller-arity-table-alt)
(%autoprove logic.term-list-atblp-when-logic.term-list-atblp-in-smaller-arity-table-alt)
(%autoprove logic.term-atblp-when-malformed-cheap
(%restrict default definition-of-logic.term-atblp (equal x 'x)))
(%ensure-exactly-these-rules-are-missing
"../../logic/terms"
;; BOZO somehow we didn't need this. Localize it in ACL2 or get rid of it in ACL2?
LEMMA-FOR-FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME)
|
