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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 "formulas-1")
(%interactive)
(%autoprove rank-of-logic.=lhs-strong
(%enable default logic.=lhs logic.fmtype)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove rank-of-logic.=rhs-strong
(%enable default logic.=rhs logic.fmtype)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove rank-of-logic.~arg-strong
(%enable default logic.~arg logic.fmtype)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove rank-of-logic.vlhs-strong
(%enable default logic.vlhs logic.fmtype)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove rank-of-logic.vrhs-strong
(%enable default logic.vrhs logic.fmtype)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove rank-of-logic.pnot
(%enable default logic.pnot))
(%autoprove rank-of-logic.pequal
(%enable default logic.pequal))
(%autoprove rank-of-logic.por
(%enable default logic.por))
(%autoadmit logic.formula-atblp)
(defmacro %logic.formulap-induction (x)
`(%induct (rank ,x)
((equal (logic.fmtype ,x) 'pequal*)
nil)
((equal (logic.fmtype ,x) 'pnot*)
(((,x (logic.~arg ,x)))))
((equal (logic.fmtype ,x) 'por*)
(((,x (logic.vlhs ,x)))
((,x (logic.vrhs ,x)))))
((and (not (equal (logic.fmtype ,x) 'pequal*))
(not (equal (logic.fmtype ,x) 'pnot*))
(not (equal (logic.fmtype ,x) 'por*)))
nil)))
(%autoprove booleanp-of-logic.formula-atblp
(%logic.formulap-induction x)
(%restrict default logic.formula-atblp (equal x 'x)))
(%autoprove logic.formula-atblp-when-not-consp
(%restrict default logic.formula-atblp (equal x 'x))
(%enable default logic.fmtype))
(%autoprove forcing-logic.term-atblp-of-logic.=lhs
(%restrict default logic.formula-atblp (equal x 'x)))
(%autoprove forcing-logic.term-atblp-of-logic.=rhs
(%restrict default logic.formula-atblp (equal x 'x))
(%disable default forcing-logic.term-atblp-of-logic.=lhs))
(%autoprove forcing-logic.formula-atblp-of-logic.~arg
(%restrict default logic.formula-atblp (equal x 'x)))
(%autoprove forcing-logic.formula-atblp-of-logic.vlhs
(%restrict default logic.formula-atblp (equal x 'x)))
(%autoprove forcing-logic.formula-atblp-of-logic.vrhs
(%restrict default logic.formula-atblp (equal x 'x))
(%disable default forcing-logic.formula-atblp-of-logic.vlhs))
(%autoprove logic.formulap-when-malformed-cheap
;; BOZO I don't like where this is located; try moving it up in formulas.lisp and
;; move it to one of the basic files maybe.
(%restrict default logic.formulap (equal x 'x))
(%enable default logic.fmtype))
(%autoprove logic.formula-atblp-when-malformed-cheap
(%restrict default logic.formula-atblp (equal x 'x)))
|
