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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 "bddify-correct")
(include-book "../gl/g-if")
(include-book "../gl/gify")
(include-book "../gl/gify-thms")
(include-book "../gl/eval-f-i-cp")
(include-book "../gl/bvecs")
(include-book "../gl/hyp-fix")
;; (include-book "../gl/gify-clause-proc")
(include-book "misc/without-waterfall-parallelism" :dir :system)
(local (include-book "../gl/general-object-thms"))
(local (include-book "eval-restrict"))
(local (in-theory (disable gl::generic-geval gl::generic-geval-alt-def)))
(defun atom-key-gobj-val-alistp (x)
(declare (xargs :guard t))
(if (atom x)
(not (gl::g-keyword-symbolp x))
(and (consp (car x))
(atom (caar x))
(not (gl::g-keyword-symbolp (caar x)))
(atom-key-gobj-val-alistp (cdr x)))))
(local
(progn
#!GL (defthmd not-keyword-symbolp-car-impl
(implies (not (g-keyword-symbolp (car x)))
(and (not (g-concrete-p x))
(not (g-boolean-p x))
(not (g-integer-p x))
(not (g-ite-p x))
(not (g-apply-p x))
(not (g-var-p x))))
:hints(("Goal" :in-theory (enable g-keyword-symbolp)))
:rule-classes ((:rewrite :backchain-limit-lst 0)))
;; (defthmd atom-key-gobj-val-alistp-gobjectp
;; (implies (atom-key-gobj-val-alistp x)
;; (gl::gobjectp x))
;; :hints (("goal" :expand ((gl::gobjectp x)
;; (gl::gobjectp (car x))
;; (gl::gobjectp (caar x)))
;; :induct (atom-key-gobj-val-alistp x)
;; :in-theory (enable
;; gl::not-keyword-symbolp-car-impl)))
;; :rule-classes ((:rewrite :backchain-limit-lst 1)
;; :forward-chaining))
(defthm atom-key-gobj-val-alistp-assoc-eval
(implies (atom-key-gobj-val-alistp x)
(equal (gl::generic-geval (hons-assoc-equal key x) env)
(hons-assoc-equal key (gl::generic-geval x env))))
:hints (("goal" :in-theory (e/d (hons-assoc-equal)
(suffixp
;; gl::concrete-key-alistp
member-eq
;; gl::gobjectp-car-cdr-when-cons
; gl::generic-geval-when-g-var-tag
))
:induct (hons-assoc-equal key x))))))
(define gobj-alist-to-bfr-alist ((x atom-key-gobj-val-alistp)
gl::hyp)
(b* ((gl::hyp (gl::lbfr-hyp-fix gl::hyp)))
(if (atom x)
(mv nil nil gl::hyp)
(b* (((mv nonnil unknown & gl::hyp) (gl::gtests (cdar x) gl::hyp))
((mv rst rst-unknown gl::hyp)
(gobj-alist-to-bfr-alist (cdr x) gl::hyp)))
(mv (hons-acons! (caar x) nonnil rst)
(gl::bfr-or (and unknown
(prog2$ (cw "Unknown: ~x0~%" (caar x))
unknown))
rst-unknown)
gl::hyp))))
///
(gl::def-hyp-congruence gobj-alist-to-bfr-alist))
(local
(defthm hons-assoc-equal-gobj-alist-to-bfr-alist-iff
(implies (atom-key-gobj-val-alistp x)
(iff (hons-assoc-equal key (mv-nth 0 (gobj-alist-to-bfr-alist
x hyp)))
(hons-assoc-equal key x)))
:hints(("Goal" :in-theory (enable gobj-alist-to-bfr-alist)))))
(defthm deps-of-gobj-alist-to-bfr-alist
(implies (and (not (gl::gobj-depends-on k p x))
(atom-key-gobj-val-alistp x))
(and (not (gl::pbfr-list-depends-on
k p (alist-vals (mv-nth 0 (gobj-alist-to-bfr-alist x hyp)))))
(not (gl::pbfr-depends-on
k p (mv-nth 1 (gobj-alist-to-bfr-alist x hyp))))))
:hints(("Goal" :induct (gobj-alist-to-bfr-alist x hyp)
:in-theory (enable gl::pbfr-list-depends-on
gobj-alist-to-bfr-alist)
:expand ((gl::gobj-depends-on k p x)))))
(local
(progn
;; (defthm bfr-alistp-gobj-alist-to-bfr-alist
;; (implies (atom-key-gobj-val-alistp x)
;; (gl::bfr-alistp (mv-nth 0 (gobj-alist-to-bfr-alist x hyp)))))
;; (defthm bfr-p-gobj-alist-to-bfr-alist
;; (implies (and (gl::bfr-p hyp)
;; (atom-key-gobj-val-alistp x))
;; (gl::bfr-p (mv-nth 1 (gobj-alist-to-bfr-alist x hyp)))))
;; (local (in-theory
;; (disable GL-THM::GTESTS-NONNIL-CORRECT-FOR-GL-BASIS-EV
;; gl-thm::general-concrete-obj-correct-gobj-fix-for-glcp-geval
;; GL-THM::GTESTS-NONNIL-CORRECT-FOR-GLCP-GEVAL
;; GL-THM::NON-CONSP-EVAL-CORRECT-FOR-GLCP-GEVAL)))
;; (defthmd non-keyword-atom-gobjectp
;; (implies (and (not (gl::g-keyword-symbolp x))
;; (not (consp x)))
;; (gobjectp x))
;; :hints(("Goal" :in-theory (enable gl::gobjectp-def))))
;; (defthmd gobjectp-cons-case-inverse
;; (implies (and (consp x)
;; (not (gl::g-keyword-symbolp (car x)))
;; (not (consp (car x)))
;; (gobjectp (cdr x)))
;; (gobjectp x))
;; :hints(("Goal" :in-theory (enable gl::gobjectp-def))))
(defthm bfr-eval-alist-hons-assoc-equal-iff
(iff (hons-assoc-equal x (gl::bfr-eval-alist al env))
(hons-assoc-equal x al)))
(defthm hons-assoc-equal-generic-geval-atom-key-gobj-val-alistp-iff
(implies (atom-key-gobj-val-alistp x)
(iff (hons-assoc-equal key (gl::generic-geval x env))
(hons-assoc-equal key x)))
:hints (("goal" :induct (atom-key-gobj-val-alistp x)
:in-theory (e/d
(hons-assoc-equal
gl::not-keyword-symbolp-car-impl)
(member-eq hons-assoc-equal
(:definition atom-key-gobj-val-alistp)
gl::general-concrete-obj-correct)))
(and stable-under-simplificationp
'(:expand ((:with gl::generic-geval (gl::generic-geval (car x) env))
(:with gl::generic-geval (gl::generic-geval x env))
(:free (a b) (hons-assoc-equal key (cons a b)))
(:free (a b) (hons-assoc-equal (caar x) (cons a b)))
(hons-assoc-equal key x)
(hons-assoc-equal key nil)
(hons-assoc-equal (caar x) x)
(atom-key-gobj-val-alistp x))))))
(defthm eval-gobj-alist
(implies (and (atom-key-gobj-val-alistp x)
(gl::bfr-hyp-eval hyp (car env))
(not (gl::bfr-eval (mv-nth 1 (gobj-alist-to-bfr-alist x hyp))
(car env))))
(iff (cdr (hons-assoc-equal
key
(gl::bfr-eval-alist
(mv-nth 0
(gobj-alist-to-bfr-alist
x hyp))
(car env))))
(cdr (hons-assoc-equal key (gl::generic-geval x env)))))
:hints (("goal" :in-theory
(e/d
(hons-assoc-equal
gobj-alist-to-bfr-alist
gl::not-keyword-symbolp-car-impl)
(member-eq hons-assoc-equal
atom-key-gobj-val-alistp
gl::general-concrete-obj-correct))
:do-not-induct t
:expand ((:with gl::generic-geval (gl::generic-geval (car x) env))
(:with gl::generic-geval (gl::generic-geval x env))
(:free (a b) (hons-assoc-equal key (cons a b)))
(:free (a b) (hons-assoc-equal (caar x) (cons a b)))
;(gl::general-concrete-obj x)
;(gl::concrete-gobjectp x)
(hons-assoc-equal key x)
(hons-assoc-equal key nil)
(hons-assoc-equal (caar x) x)
(atom-key-gobj-val-alistp x))
:induct (gobj-alist-to-bfr-alist x hyp))))
(defun aig-eval-ind (x)
(cond ((atom x) x)
((equal (cdr x) nil) (aig-eval-ind (car x)))
(t (list (aig-eval-ind (car x))
(aig-eval-ind (cdr x))))))
(defthm aig-eval-eval-gobj-alist
(implies (and (atom-key-gobj-val-alistp x)
(gl::bfr-hyp-eval hyp (car env))
(not (gl::bfr-eval
(mv-nth 1 (gobj-alist-to-bfr-alist x hyp))
(car env))))
(equal (aig-eval aig (gl::bfr-eval-alist
(mv-nth 0 (gobj-alist-to-bfr-alist
x hyp))
(car env)))
(aig-eval aig (gl::generic-geval x env))))
:hints (("goal" :induct (aig-eval-ind aig)
:in-theory (enable aig-env-lookup))))
(defthm aig-eval-list-eval-gobj-alist
(implies (and (atom-key-gobj-val-alistp x)
(gl::bfr-hyp-eval hyp (car env))
(not (gl::bfr-eval
(mv-nth 1 (gobj-alist-to-bfr-alist x hyp))
(car env))))
(equal (aig-eval-list aig (gl::bfr-eval-alist
(mv-nth 0 (gobj-alist-to-bfr-alist
x hyp))
(car env)))
(aig-eval-list aig (gl::generic-geval x env))))
:hints (("goal" :induct (aig-eval-list aig (gl::generic-geval x env)))))
;; (defthm gobjectp-g-apply
;; (implies (symbolp fn)
;; (equal (gl::gobjectp (gl::g-apply fn args))
;; (gl::gobjectp args)))
;; :hints (("goal" :in-theory (e/d (gl::gobjectp-def
;; gl::g-apply gl::tag
;; gl::g-apply-p
;; gl::g-apply->fn
;; gl::g-apply->args)
;; ((force)))
;; :expand ((gl::gobjectp (list* :g-apply fn args))))))
(local (in-theory (disable atom-key-gobj-val-alistp
suffixp ; car-member-when-suffix
)))))
(defun g-boolean-list (x)
(declare (xargs :guard t))
(if (atom x)
nil
(cons (gl::g-boolean (car x))
(g-boolean-list (cdr x)))))
(defthm deps-of-g-boolean-list
(implies (not (gl::pbfr-list-depends-on k p x))
(not (gl::gobj-depends-on k p (g-boolean-list x)))))
(local
(progn
(defthm eval-of-g-boolean-list
(equal (gl::generic-geval (g-boolean-list x) env)
(gl::bfr-eval-list x (car env)))
:hints(("Subgoal *1/2"
:expand ((:free (x) (:with gl::generic-geval
(gl::generic-geval (gl::g-boolean x)
env)))))))))
(defthmd gl::bfr-eval-alist-bfr-cases
(equal (gl::bfr-eval-alist x vals)
(gl::bfr-case
:bdd (acl2::bdd-eval-alst x vals)
:aig (acl2::aig-eval-alist x vals)))
:hints(("Goal" :in-theory (enable bfr-eval))))
(defthmd bfr-eval-list-bfr-cases
(equal (bfr-eval-list x env)
(gl::bfr-case
:bdd (acl2::eval-bdd-list x env)
:aig (acl2::aig-eval-list x env)))
:hints(("Goal" :in-theory (enable bfr-eval-list bfr-eval))))
;; (defthmd bfr-alistp-bfr-cases
;; (equal (gl::bfr-alistp x)
;; (gl::bfr-case
;; :bdd (acl2::ubddp-val-alistp x)
;; :aig t))
;; :hints(("Goal" :in-theory (enable bfr-p)
;; :induct (gl::bfr-alistp x))))
;; (defthmd bfr-listp-bfr-cases
;; (equal (gl::bfr-listp x)
;; (gl::bfr-case
;; :bdd (and (acl2::ubdd-listp x) (true-listp x))
;; :aig (true-listp x)))
;; :hints(("Goal" :in-theory (enable gl::bfr-listp gl::bfr-p)
;; :induct (len x))))
(defun aig-bfr-compose (x al)
(gl::bfr-case
:bdd (aig-q-compose x al)
:aig (aig-compose x al)))
(local (defthm bfr-aig-q-compose
(implies (not (gl::bfr-mode))
(equal (aig-q-compose x fal)
(AIG-CASES
X
:TRUE T
:FALSE NIL
:VAR (AIG-ALIST-LOOKUP X FAL)
:INV (gl::bfr-not (AIG-Q-COMPOSE (CAR X) FAL))
:AND (LET ((A (AIG-Q-COMPOSE (CAR X) FAL)))
(AND A
(gl::bfr-binary-and A (AIG-Q-COMPOSE (CDR X)
FAL)))))))
:hints(("Goal" :in-theory (enable gl::bfr-not gl::bfr-binary-and)))
:rule-classes ((:definition :controller-alist ((aig-q-compose t
nil))))))
(defthm deps-of-hons-assoc-equal
(implies (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(not (gl::pbfr-depends-on k p (cdr (hons-assoc-equal x al)))))
:hints(("Goal" :in-theory (enable hons-assoc-equal
gl::pbfr-list-depends-on))))
(defthm deps-of-aig-alist-lookup
(implies (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(not (gl::pbfr-depends-on k p (aig-alist-lookup x al))))
:hints(("Goal" :in-theory (enable aig-alist-lookup))))
(defthm deps-of-aig-q-compose
(implies (and (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(not (gl::bfr-mode)))
(not (gl::pbfr-depends-on k p (aig-q-compose x al))))
:hints (("goal" :induct (aig-q-compose x al))))
(local (defthm bfr-aig-compose
(implies (gl::bfr-mode)
(equal (aig-compose x fal)
(AIG-CASES
X
:TRUE T
:FALSE NIL
:VAR (AIG-ALIST-LOOKUP X FAL)
:INV (gl::bfr-not (AIG-COMPOSE (CAR X) FAL))
:AND (LET ((A (AIG-COMPOSE (CAR X) FAL)))
(AND A
(gl::bfr-binary-and A (AIG-COMPOSE (CDR X)
FAL)))))))
:hints(("Goal" :in-theory (enable gl::bfr-not gl::bfr-binary-and aig-compose)))
:rule-classes ((:definition :controller-alist ((aig-compose t
nil))))))
(defthm deps-of-aig-compose
(implies (and (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(gl::bfr-mode))
(not (gl::pbfr-depends-on k p (aig-compose x al))))
:hints (("goal" :induct (aig-compose x al)
:in-theory (enable (:i aig-compose)))))
(defthm deps-of-aig-bfr-compose
(implies (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(not (gl::pbfr-depends-on k p (aig-bfr-compose x al)))))
(defun aig-bfr-compose-list (x al)
(if (atom x)
nil
(cons (aig-bfr-compose (car x) al)
(aig-bfr-compose-list (cdr x) al))))
(defthm deps-of-aig-bfr-compose-list
(implies (not (gl::pbfr-list-depends-on k p (alist-vals al)))
(not (gl::pbfr-list-depends-on k p (aig-bfr-compose-list x al))))
:hints(("Goal" :in-theory (e/d (gl::pbfr-list-depends-on)
(aig-bfr-compose)))))
(defthm bfr-eval-of-aig-bfr-compose
(equal (bfr-eval (aig-bfr-compose x al) env)
(aig-eval x (gl::bfr-eval-alist al env)))
:hints(("Goal" :in-theory (enable bfr-eval gl::bfr-eval-alist-bfr-cases
aig-q-compose-correct))))
(defun aig-bfrify-list (tries aigs bfr-al maybe-wash-args)
(declare (Xargs :guard t))
(gl::bfr-case
:bdd (b* (((mv bdds & exact)
(ec-call (aig-bddify-list
tries aigs bfr-al maybe-wash-args))))
(mv bdds exact))
:aig (mv (aig-compose-list aigs bfr-al) t)))
(defthm eval-bdd-list-aig-q-compose-list
(equal (eval-bdd-list (aig-q-compose-list aigs bdd-al) env)
(aig-eval-list aigs (bdd-eval-alst bdd-al env)))
:hints(("Goal" :in-theory (enable aig-q-compose-correct))))
(defcong bdd-equiv-list equal (eval-bdd-list x env) 1)
(defthm aig-bfrify-list-ok
(mv-let (res exact)
(aig-bfrify-list tries aigs bfr-al maybe-wash-args)
(implies exact
(equal (bfr-eval-list res env)
(aig-eval-list aigs
(gl::bfr-eval-alist bfr-al env)))))
:hints(("Goal" :in-theory (enable bfr-eval-list-bfr-cases
gl::bfr-eval-alist-bfr-cases
aig-q-compose-correct
aig-bddify-list-ok)
:induct (len aigs))))
(local
#!GL
(progn
(defun pbfr-list-depends-on-witness (k p x)
(if (atom x)
nil
(if (pbfr-semantic-depends-on k p (car x))
(mv-let (env v)
(pbfr-semantic-depends-on-witness k p (car x))
(list env v))
(pbfr-list-depends-on-witness k p (cdr x)))))
(defthm pbfr-list-depends-on-witness-iff
(implies (not (bfr-mode))
(iff (pbfr-list-depends-on-witness k p x)
(pbfr-list-depends-on k p x)))
:hints(("Goal" :in-theory (enable pbfr-list-depends-on
pbfr-depends-on))))
(defthm pbfr-list-depends-on-by-witness
(implies (and (acl2::rewriting-negative-literal
`(pbfr-list-depends-on ,k ,p ,x))
(not (bfr-mode)))
(equal (pbfr-list-depends-on k p x)
(mv-let (env v) (pbfr-list-depends-on-witness k p x)
(and (bfr-eval p env)
(bfr-eval p (bfr-set-var k v env))
(not (equal (bfr-eval-list x (bfr-param-env p (bfr-set-var k v env)))
(bfr-eval-list x (bfr-param-env p env))))))))
:hints(("Goal" :in-theory (enable pbfr-list-depends-on
pbfr-depends-on
bfr-eval-list))
(and stable-under-simplificationp
'(:expand ((pbfr-semantic-depends-on k p (car x)))))))))
(defthm bfr-eval-alist-when-set-non-dep
(implies (and (not (gl::pbfr-list-depends-on k p (alist-vals bfr-al)))
(gl::bfr-eval p env)
(gl::bfr-eval p (gl::bfr-set-var k v env)))
(equal (gl::bfr-eval-alist
bfr-al (gl::bfr-param-env p (gl::bfr-set-var k v env)))
(gl::bfr-eval-alist
bfr-al (gl::bfr-param-env p env))))
:hints(("Goal" :in-theory (enable gl::pbfr-list-depends-on alist-vals))))
(defthm deps-of-aig-bfrify-list
(mv-let (res exact)
(aig-bfrify-list tries aigs bfr-al maybe-wash-args)
(implies (and exact
(not (gl::pbfr-list-depends-on k p (alist-vals bfr-al))))
(not (gl::pbfr-list-depends-on k p res))))
:hints(("Goal" :in-theory (disable aig-bfrify-list)
:cases ((gl::bfr-mode)))
(cond ((member-equal '(not (gl::bfr-mode)) clause)
'(:in-theory (enable aig-bfrify-list
gl::pbfr-list-depends-on
gl::pbfr-depends-on
gl::bfr-depends-on
gl::bfr-from-param-space)))))
:otf-flg t)
;; (defthm aig-bfrify-list-bfr-listp
;; (implies (gl::bfr-alistp bfr-al)
;; (gl::bfr-listp (mv-nth 0 (aig-bfrify-list tries aigs bfr-al maybe-wash-args))))
;; :hints (("goal" :in-theory (enable bfr-listp-bfr-cases bfr-alistp-bfr-cases))))
(in-theory (disable aig-bfrify-list))
(define aig-eval-list-symbolic
(x al tries maybe-wash-args gl::hyp clk)
(declare (xargs :guard t)
(ignore clk))
(let* ((gl::hyp (gl::lbfr-hyp-fix gl::hyp))
(tries (if (gl::general-concretep tries)
(gl::general-concrete-obj tries)
(er hard? 'aig-eval-list-symbolic "Expected tries to be concrete~%"))))
(if (and (atom-key-gobj-val-alistp al)
(gl::general-concretep x))
(b* (((mv bfr-al badp gl::hyp) (gobj-alist-to-bfr-alist al gl::hyp))
(- (and badp
(cw "The alist is not well-formed for aig-eval-list-symbolic~%")
))
((gl::gret ans)
(if (eq badp t)
(gl::gret (gl::g-apply 'aig-eval-list (gl::gl-list x al)))
(if badp
(gl::gobj-ite-merge
badp
(gl::g-apply 'aig-eval-list (gl::gl-list x al))
(b* ((x-obj (gl::general-concrete-obj x))
((mv bdd exact)
(aig-bfrify-list tries x-obj bfr-al
maybe-wash-args)))
(if exact
(g-boolean-list bdd)
(prog2$ (cw "BDDification failed to produce an exact result~%")
(gl::g-apply 'aig-eval-list (gl::gl-list x al)))))
gl::hyp)
(gl::gret
(b* ((x-obj (gl::general-concrete-obj x))
((mv bdd exact)
(aig-bfrify-list tries x-obj bfr-al maybe-wash-args)))
(if exact
(g-boolean-list bdd)
(prog2$ (cw "BDDification failed to produce an exact result~%")
(gl::g-apply 'aig-eval-list (gl::gl-list x al)))))))))
(- (flush-hons-get-hash-table-link bfr-al)))
(gl::gret ans))
(prog2$ (cw "AL is not an atom-key-gobj-val-alistp. cars: ~x0~%"
(ec-call (strip-cars al)))
(gl::gret (gl::g-apply 'aig-eval-list (gl::gl-list x al))))))
///
(defthm deps-of-aig-eval-list-symbolic
(implies (and (not (gl::gobj-depends-on k p x))
(not (gl::gobj-depends-on k p al)))
(not (gl::gobj-depends-on
k p (mv-nth 0 (aig-eval-list-symbolic
x al tries maybe-wash-args gl::hyp clk))))))
(gl::def-hyp-congruence aig-eval-list-symbolic))
;; (local
;; (defthm gobjectp-aig-eval-list-symbolic
;; (gl::gobjectp (aig-eval-list-symbolic x al tries maybe-wash-args
;; hyp clk))
;; :hints(("Goal" :in-theory (disable member-eq
;; atom-key-gobj-val-alistp
;; member-of-cons
;; gl::gobjectp-cons-case
;; aig-bddify-list)))))
(make-event
`(gl::def-g-fn aig-eval-list-with-bddify
'(aig-eval-list-symbolic x env tries mwa gl::hyp gl::clk)))
;; (defthm gobjectp-g-aig-eval-list
;; (gl::gobjectp (glr aig-eval-list-with-bddify
;; x al tries maybe-wash-args hyp clk))
;; :hints(("Goal" :in-theory (disable aig-eval-list-symbolic))))
;; (add-to-ruleset! gl::g-gobjectp-lemmas '(gobjectp-g-aig-eval-list))
(gl::verify-g-guards aig-eval-list-with-bddify)
(encapsulate nil
(make-event
`(acl2::without-waterfall-parallelism
(gl::def-eval-g aig-eval-ev
,(list* 'aig-eval-list 'if 'cons
(cdar (table-alist 'gl::g-apply-table (w state))))))))
(local
(progn
(acl2::without-waterfall-parallelism
(gl::correctness-lemmas aig-eval-ev))
(gl::eval-g-prove-f-i aig-eval-ev-f-i-generic-geval aig-eval-ev
gl::generic-geval)
;; (gl::eval-g-functional-instance
;; gl::generic-geval-g-boolean
;; aig-eval-ev gl::generic-geval)
(gl::eval-g-functional-instance
gl::general-concrete-obj-correct
aig-eval-ev gl::generic-geval)
(gl::eval-g-functional-instance
aig-eval-list-eval-gobj-alist
aig-eval-ev gl::generic-geval)
(gl::eval-g-functional-instance
gl::gobj-ite-merge-correct
aig-eval-ev gl::generic-geval)
(gl::eval-g-functional-instance
eval-of-g-boolean-list
aig-eval-ev gl::generic-geval)))
(in-theory (disable aig-bddify-list aig-eval-list))
;; (defun def-g-correctness-thm-fn (thmname fn eval hints world)
;; (declare (xargs :mode :program))
;; (b* ((formals (fgetprop fn 'formals t world)))
;; `(progn (defthm ,thmname
;; (implies ,'(bfr-eval gl::hyp (car gl::env))
;; (equal (,eval (glr ,fn ,@formals gl::hyp gl::clk)
;; gl::env)
;; (,fn . ,(gl::eval-list-env eval formals))))
;; :hints ,hints)
;; (table gl::gl-function-info ',fn `(,(gl-fnsym ',fn)
;; (,',thmname . ,',eval))))))
;; (defmacro def-g-correctness-thm (thmname fn eval &key hints)
;; `(make-event (def-g-correctness-thm-fn
;; ',thmname ',fn ',eval ',hints (w state))))
;; (local
;; (defthm eval-bdd-list-aig-q-compose-list
;; (equal (eval-bdd-list (aig-q-compose-list x al) vals)
;; (aig-eval-list x (bdd-eval-alst al vals)))
;; :hints(("Goal" :in-theory (enable aig-eval-list
;; aig-q-compose-correct)))))
(local
(defthm g-aig-eval-list-correct1
(implies (gl::bfr-hyp-eval hyp (car env))
(equal (aig-eval-ev (mv-nth 0 (aig-eval-list-symbolic
x al tries maybe-wash-args hyp clk))
env)
(aig-eval-list (aig-eval-ev x env)
(aig-eval-ev al env))))
:hints (("goal" :in-theory (e/d (eval-bdd-list-aig-q-compose-list
aig-eval-list-symbolic)
(member-eq atom-key-gobj-val-alistp
member-equal eval-bdd-list
;; gl-thm::generic-geval-g-boolean-for-aig-eval-ev
aig-bddify-list))
:do-not-induct t))))
(local (in-theory (disable aig-eval-list-symbolic)))
(gl::def-gobj-dependency-thm
aig-eval-list-with-bddify
:hints`(("Goal" :in-theory (e/d (,gl::gfn)
(gl::gobj-depends-on)))))
(gl::def-g-correct-thm ;; g-aig-eval-list-with-bddify-correct
aig-eval-list-with-bddify aig-eval-ev
:hints `(("goal" :in-theory (e/d (aig-eval-list-with-bddify
,gl::gfn)
(aig-eval-list-symbolic)))))
;; The theorems that we'll set as the preferred defs for the following
;; functions express each of these functions in terms of aig-eval-list.
;; Therefore, we only need to do the above proof about aig-eval-list.
(gl::set-preferred-def aig-eval-with-bddify
aig-eval-in-terms-of-aig-eval-list)
(gl::set-preferred-def aig-eval-alist-with-bddify
aig-eval-alist-in-terms-of-aig-eval-list)
(gl::set-preferred-def faig-eval-with-bddify
faig-eval-in-terms-of-faig-eval-list)
(gl::set-preferred-def faig-eval-list-with-bddify
faig-eval-list-in-terms-of-aig-eval-list)
(gl::set-preferred-def faig-eval-alist-with-bddify
faig-eval-alist-in-terms-of-faig-eval-list)
(gl::set-preferred-def aig-eval aig-eval-in-terms-of-with-bddify)
(table gl::override-props 'aig-eval '((recursivep . nil)))
(gl::set-preferred-def aig-eval-list aig-eval-list-in-terms-of-with-bddify)
(table gl::override-props 'aig-eval-list '((recursivep . nil)))
(gl::set-preferred-def faig-eval faig-eval-in-terms-of-with-bddify)
(gl::set-preferred-def faig-eval-list faig-eval-list-in-terms-of-with-bddify)
(table gl::override-props 'faig-eval-list '((recursivep . nil)))
(gl::set-preferred-def aig-eval-alist aig-eval-alist-in-terms-of-with-bddify)
(table gl::override-props 'aig-eval-alist '((recursivep . nil)))
(gl::set-preferred-def faig-eval-alist faig-eval-alist-in-terms-of-with-bddify)
(table gl::override-props 'faig-eval-alist '((recursivep . nil)))
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