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; Record Like Stobjs
; Copyright (C) 2011-2012 Centaur Technology
;
; Contact:
; Centaur Technology Formal Verification Group
; 7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
; http://www.centtech.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@centtech.com>
(in-package "RSTOBJ")
(include-book "g-delete-keys")
(include-book "misc/equal-by-g-help" :dir :system) ;; NONLOCAL !!!
; fancy-worseguy.lisp
;
; This is an alternative to g-worseguy that can avoid returning certain keys.
; We use it to search for conflicting keys in the MISC elements of record
; stobjs.
(defund fancy-worseguy (keys x y)
(acl2::g-worseguy (g-delete-keys keys x)
(g-delete-keys keys y)))
(local (in-theory (enable g-delete-keys fancy-worseguy)))
(local (in-theory (disable acl2::g-worseguy)))
(local (defthm l0
(implies (and (equal (g key x) (g key y))
(acl2::g-worseguy x y))
(not (equal (cadr (acl2::g-worseguy x y)) key)))))
(local (defthm l1
(let ((ex (acl2::g-worseguy (s key val x)
(s key val y))))
(implies ex
(not (equal (g (cadr ex) (s key val x))
(g (cadr ex) (s key val y))))))
:hints(("Goal"
:in-theory (disable acl2::g-worseguy-finds-counterexample)
:use ((:instance acl2::g-worseguy-finds-counterexample
(acl2::x (s key val x))
(acl2::y (s key val y))))))))
(local (defthm l2
(let ((ex (acl2::g-worseguy (g-delete-keys keys x)
(g-delete-keys keys y))))
(implies ex
(not (equal (g (cadr ex) (g-delete-keys keys x))
(g (cadr ex) (g-delete-keys keys y))))))))
(defthm fancy-worseguy-finds-counterexample
(implies (fancy-worseguy keys x y)
(not (equal (g (cadr (fancy-worseguy keys x y)) x)
(g (cadr (fancy-worseguy keys x y)) y)))))
(defthm fancy-worseguy-not-among-keys
(implies (and (fancy-worseguy keys x y)
(member-equal key keys))
(not (equal (cadr (fancy-worseguy keys x y)) key))))
(defthm fancy-worseguy-unless-equal
(implies (and (not (equal misc1 misc2))
(equal misc1 (g-delete-keys keys misc1))
(equal misc2 (g-delete-keys keys misc2)))
(fancy-worseguy keys misc1 misc2)))
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