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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")
(%interactive)
(%autoadmit clause.absurd-termp)
(%autoprove booleanp-of-clause.absurd-termp
(%enable default clause.absurd-termp))
(%autoadmit clause.remove-absurd-terms-from-list)
(%autoprove clause.remove-absurd-terms-from-list-when-not-consp
(%restrict default clause.remove-absurd-terms-from-list (equal x 'x)))
(%autoprove clause.remove-absurd-terms-from-list-of-cons
(%restrict default clause.remove-absurd-terms-from-list (equal x '(cons a x))))
(%autoprove true-listp-of-clause.remove-absurd-terms-from-list
(%cdr-induction x))
(%autoprove clause.remove-absurd-terms-from-list-of-list-fix
(%cdr-induction x))
(%autoprove clause.remove-absurd-terms-from-list-of-app
(%cdr-induction x))
(%autoprove rev-of-clause.remove-absurd-terms-from-list
(%cdr-induction x))
(%autoprove subsetp-of-clause.remove-absurd-terms-from-list
(%cdr-induction x))
(%autoprove forcing-logic.term-listp-of-clause.remove-absurd-terms-from-list
(%cdr-induction x))
(%defprojection :list (clause.remove-absurd-terms-from-clauses x)
:element (clause.remove-absurd-terms-from-list x))
(%autoprove all-superset-of-somep-of-clause.remove-absurd-terms-from-clauses
(%cdr-induction x))
(%autoprove all-subset-of-somep-of-clause.remove-absurd-terms-from-clauses
(%cdr-induction x))
(%autoprove forcing-logic.term-list-listp-of-clause.remove-absurd-terms-from-clauses
(%cdr-induction x))
(%autoadmit clause.fast-remove-absurd-terms-from-list$)
(%autoprove clause.fast-remove-absurd-terms-from-list$-removal
(%induct (rank x)
((not (consp x))
nil)
((and (consp x)
(clause.absurd-termp (car x)))
(((x (cdr x)) (acc acc))))
((and (consp x)
(not (clause.absurd-termp (car x))))
(((x (cdr x)) (acc (cons (car x) acc))))))
(%restrict default clause.fast-remove-absurd-terms-from-list$ (equal x 'x)))
|
