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(in-package "ACL2")
(include-book "bcv-model")
(include-book "generic")
;; (encapsulate ()
;; (local (include-book "bcv-find-correct-witness-sig-vector-1"))
;; (defthm verified-implies-partial-sig-vector-compatible-with-full-vector-lemma
;; (implies (and (merged-code-safe merged-code init-frame)
;; (consp (cdr merged-code))
;; (wff-code1 (extract-code merged-code)
;; (g 'pc (car merged-code)))
;; (member stack-map merged-code)
;; (or (stack-map? init-frame)
;; (equal init-frame 'aftergoto))
;; (stack-map? stack-map)
;; (equal (g 'pc stack-map) pc))
;; (sig-frame-compatible
;; stack-map
;; (cdr (assoc-equal pc (collect-witness-merged-code-safe
;; (defthm verified-extract-bound-partial-then-equal-bound-full
;; (implies (and (merged-code-safe merged-code init-frame)
;; (bound? pc (extract-partial-sig-vector
;; (extract-maps merged-code))))
;; (equal (cdr (assoc-equal pc (collect-witness-merged-code-safe
;; merged-code init-frame)))
;; (cdr (assoc-equal pc (extract-partial-sig-vector
;; (extract-maps merged-code))))))
;; :hints (("Goal" :in-theory
;;;
;;; this is not true. because it is possible to have multiple map at the same
;;; location!!
;;;
;;; In that case the extract-partial-sig-vector returns the first one
;;; (binding ... (collect-witness-merged-code-safe ...)) return the last one!!
(encapsulate ()
(local (include-book "bcv-find-correct-witness-sig-vector-1"))
(defthm verified-implies-partial-sig-vector-compatible-with-full-vector-lemma
(implies (and (merged-code-safe merged-code init-frame)
(consp (cdr merged-code))
(wff-code1 (extract-code merged-code)
(g 'pc (car merged-code)))
(member stack-map merged-code)
(or (stack-map? init-frame)
(equal init-frame 'aftergoto))
(stack-map? stack-map)
(equal (g 'pc stack-map) pc))
(sig-frame-compatible
stack-map
(cdr (assoc-equal pc (collect-witness-merged-code-safe
merged-code init-frame)))))))
;; >L (DEFUN
;; MERGESTACKMAPANDCODE
;; (MAPS PARSEDCODE METHOD-TABLE)
;; (IF
;; (ENDP MAPS)
;; (APPEND PARSEDCODE (LIST 'END_OF_CODE))
;; (IF
;; (ENDP PARSEDCODE)
;; NIL
;; (LET
;; ((MPC (MAPOFFSET (CAR MAPS)))
;; (PC (INSTROFFSET (CAR PARSEDCODE))))
;; (IF (EQUAL MPC PC)
;; (CONS (MAKESTACKMAP (CAR MAPS) METHOD-TABLE)
;; (CONS (MAKE-INST (CAR PARSEDCODE))
;; (MERGESTACKMAPANDCODE (CDR MAPS)
;; (CDR PARSEDCODE)
;; METHOD-TABLE)))
;; (IF (< PC MPC)
;; (CONS (MAKE-INST (CAR PARSEDCODE))
;; (MERGESTACKMAPANDCODE MAPS (CDR PARSEDCODE)
;; METHOD-TABLE))
;; NIL))))))
;;
;; our definition of mergestackmapandcode will prevent multiple stackmap of the
;; same pc.
;;
(defthm verified-implies-member-stack-map-merged-code
(implies (and (merged-code-safe merged-code init-frame)
(bound? pc (extract-partial-sig-vector (extract-maps
merged-code))))
(member (cdr (assoc-equal pc
(extract-partial-sig-vector (extract-maps
merged-code))))
merged-code)))
(defthm verified-implies-extract-partial-stack-map
(implies (bound? pc (extract-partial-sig-vector (extract-maps
merged-code)))
(stack-map? (cdr (assoc-equal pc
(extract-partial-sig-vector (extract-maps
merged-code)))))))
(defthm subsetp-bound
(implies (and (subsetp l l2)
(alistp l2)
(consp l))
(assoc-equal (car (car l)) l2)))
(defthm alistp-extract-partial-sig-vector
(alistp (extract-partial-sig-vector maps)))
(defthm g-pc-extract-partial-sig-vector
(implies (bound? pc (extract-partial-sig-vector maps))
(equal (g 'pc (cdr (assoc-equal pc (extract-partial-sig-vector maps))))
pc)))
(defthm verified-extract-partial-sig-compatible-with-full-sig-lemma
(implies (and (merged-code-safe merged-code init-frame)
(consp (cdr merged-code))
(stack-map? init-frame)
(wff-code1 (extract-code merged-code)
(g 'pc (car merged-code)))
(subsetp l (extract-partial-sig-vector (extract-maps merged-code))))
(partial-sig-vector-compatible1
l
(extract-partial-sig-vector (extract-maps merged-code))
(collect-witness-merged-code-safe merged-code init-frame)))
:hints (("Goal" :in-theory (disable sig-frame-compatible
extract-partial-sig-vector
extract-maps
extract-code
wff-code1
merged-code-safe
stack-map?
collect-witness-merged-code-safe)
:restrict ((verified-implies-member-stack-map-merged-code
((init-frame init-frame))))
:do-not '(generalize))))
(defthm subsetp-reflexive-lemma
(subsetp x (append any x)))
(defthm append-nil-x-is-x
(equal (append nil x) x))
(defthm subsetp-x-x
(subsetp x x)
:hints (("Goal" :use ((:instance subsetp-reflexive-lemma
(any nil))))))
;; (defthm merged-code-safe-implies-wff-code1
;; (implies (merged-code-safe merged-code init-frame)
;; (wff-code1 (extract-code merged-code)
;; (g 'pc (car merged-code))))
;; :hints (("Goal" :do-not '(generalize))))
(defthm verified-extract-partial-sig-compatible-with-full-sig
(implies (and (merged-code-safe merged-code init-frame)
(stack-map? init-frame)
(wff-code1 (extract-code merged-code)
(g 'pc (car merged-code))))
(partial-sig-vector-compatible
(extract-partial-sig-vector (extract-maps merged-code))
(collect-witness-merged-code-safe merged-code init-frame)))
:hints (("Goal" :in-theory (disable sig-frame-compatible
extract-partial-sig-vector
extract-maps
extract-code
wff-code1
merged-code-safe
stack-map?
partial-sig-vector-compatible1
collect-witness-merged-code-safe)
:cases ((not (consp (cdr merged-code)))))
("Subgoal 1" :in-theory (enable merged-code-safe
partial-sig-vector-compatible1
extract-code))))
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