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; Centaur AIG Library
; Copyright (C) 2008-2011 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: Sol Swords <sswords@centtech.com>
(in-package "ACL2")
(include-book "aig-base")
(include-book "centaur/misc/witness-cp" :dir :system)
(include-book "centaur/misc/universal-equiv" :dir :system)
(include-book "centaur/misc/fast-alists" :dir :system)
(set-verify-guards-eagerness 0)
(def-universal-equiv aig-equiv
:qvars env
:equiv-terms ((equal (aig-eval x env)))
:defquant t
:witness-dcls ((declare (xargs :guard t)))
:parents (aig-semantics)
:short "We say the AIGs @('X') and @('Y') are equivalent when they always
evaluate to the same value, per @(see aig-eval).")
(verify-guards aig-equiv)
(def-universal-equiv aig-alist-equiv
:qvars k
:equiv-terms ((iff (hons-assoc-equal k x))
(aig-equiv (cdr (hons-assoc-equal k x))))
:defquant t
:witness-dcls ((declare (xargs :guard t)))
:parents (aig-semantics)
:short "We say the AIG Alists @('X') and @('Y') are equivalent when they bind
the same keys to equivalent AIGs, in the sense of @(see aig-equiv).")
(verify-guards aig-alist-equiv)
(defsection aig-alist-equiv-thms
:extension aig-alist-equiv
(defrefinement alist-equiv aig-alist-equiv
:hints ((witness))))
(def-universal-equiv aig-env-equiv
:qvars key
:equiv-terms ((iff (aig-env-lookup key x)))
:defquant t
:witness-dcls ((declare (xargs :guard t)))
:parents (aig-semantics)
:short "We say the environments @('X') and @('Y') are equivalent when they
give equivalent values to variables looked up with @(see aig-env-lookup).")
(verify-guards aig-env-equiv)
(defsection aig-env-equiv-thms
:extension aig-env-equiv
(defcong aig-env-equiv equal (aig-env-lookup key x) 2
:hints (("goal" :cases ((aig-env-lookup key x))
:use ((:instance aig-env-equiv-necc (y x-equiv))))))
(defrefinement alist-equiv aig-env-equiv
:hints ((witness))))
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