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|
(in-package "ACL2")
(include-book "bcv-model")
(include-book "bcv-simple-model")
(include-book "generic")
;; (local (include-book "bcv-find-correct-witness-bcv-check-pre"))
(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)))))))
;----------------------------------------------------------------------
(local (include-book "bcv-make-inst"))
(local
(defthm wff-code-implies-mergedStackMapAndCode
(implies (and (consp code)
(merged-code-safe (mergeStackMapAndCode maps code method method-table)
init-frame))
(consp (cdr (mergeStackMapAndCode maps code method-name method-table))))
:hints (("Goal" :do-not '(generalize)
:in-theory (disable bcv-check-step-pre
bcv-execute-step
make-inst
makestackmap)))))
(local
(defthm extract-code-mergeStackMapAndCode-specific
(implies (and (equal (car (last (mergeStackMapAndCode maps code method-name
method-table)))
'END_OF_CODE)
(wff-code code))
(equal (extract-code (mergeStackMapAndCode maps code method-name method-table))
code))
:hints (("Goal"
:in-theory (e/d (wff-code) (extract-code mergeStackMapAndCode))
:use ((:instance extract-code-mergeStackMapAndCode
(pc 0)))))))
(local
(defthm merged-code-safe-implies-end-with-end-of-code
(implies (merged-code-safe mergedcode init-frame)
(equal (car (last mergedcode))
'END_OF_CODE))
:hints (("Goal" :in-theory (enable merged-code-safe)))))
(local
(defthm if-bound-then-g-pc-pc
(implies (bound? pc (extract-partial-sig-vector maps))
(equal (g 'pc (cdr (assoc-equal pc (extract-partial-sig-vector
maps))))
pc))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-bcv-check-pre"))
(defthm wff-code1-uniqueness
(IMPLIES
(AND (WFF-CODE1 (EXTRACT-CODE MERGED-CODE4) any)
(MERGED-CODE-SAFE MERGED-CODE4 MERGED-CODE3))
(wff-code1 (extract-code merged-code4)
(g 'pc (car merged-code4))))
:rule-classes :forward-chaining))
;; (defthm car-merged-code-stack-is-car-code
;; (implies (merged-code-safe (mergeStackMapAndCode
;; maps stack-map method-name
;; method-table) init-frame)
;; (equal (g 'pc (car (mergeStackMapAndCode maps code method-name
;; method-table)))
;; (g 'pc (car code))))
;; :hints (("Goal" :do-not '(generalize)
;; :in-theory (disable bcv-check-step-pre
;; bcv-execute-step
;; make-inst
;; makestackmap))))
;----------------------------------------------------------------------
(defthm wff-code-implies
(implies (wff-code code)
(wff-code1 code (g 'pc (car code)))))
;----------------------------------------------------------------------
(defthm bound-implies-member
(implies (bound? pc (extract-partial-sig-vector maps))
(member (cdr (assoc-equal pc (extract-partial-sig-vector maps)))
maps)))
(defthm bound?-bound?-update-maps
(implies (bound? x (extract-partial-sig-vector maps))
(bound? x (extract-partial-sig-vector (update-maps-with-method-table
maps method-name method-table)))))
(defthm member-extract-map
(implies (member x (extract-maps merged-code))
(member x merged-code)))
(in-theory (disable member-extract-map))
(defthm make-inst-never-end-of-code
(not (equal (make-inst inst) 'END_OF_CODE))
:hints (("Goal" :in-theory (disable make-inst-inst
not-inst-end-of-code)
:use ((:instance make-inst-inst)
(:instance not-inst-end-of-code)))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-sig-vector-1"))
(defthm merged-code-safe-implies-merged-code-pc-is-pc
(implies (and (merged-code-safe merged-code init-frame)
(stack-map? init-frame))
(equal (g 'pc (car merged-code))
(g 'pc init-frame)))
:hints (("Goal" :do-not '(generalize)
:in-theory (disable sig-frame-compatible inst? stack-map?
bcv-check-step-pre
bcv-execute-step)))))
;; (defthm merged-code-safe-implies-merged-code-pc-is-pc
;; (implies (and (merged-code-safe merged-code init-frame)
;; (stack-map? init-frame))
;; (equal (g 'pc (car merged-code))
;; (g 'pc init-frame)))
;; :hints (("Goal" :do-not '(generalize)
;; :in-theory (disable sig-frame-compatible inst? stack-map?
;; bcv-check-step-pre
;; bcv-execute-step))))
(defthm stack-map-make-stack-map
(IMPLIES (STACK-MAP? MAPS1)
(STACK-MAP? (MAKESTACKMAP MAPS1 method-name METHOD-TABLE)))
:hints (("Goal" :in-theory (enable stack-map?))))
(defthm stack-map-set-method-table
(IMPLIES (STACK-MAP? MAPS1)
(STACK-MAP? (s 'max-stack max-stack
(s 'method-name method-name
(s 'method-table method-table maps1)))))
:hints (("Goal" :in-theory (enable stack-map?))))
(defthm |s-same-g-lemma-2|
(IMPLIES (AND (EQUAL (G 'IS-INST map) nil)
(equal (G 'IS-STACK-MAP map) t))
(EQUAL (S 'IS-STACK-MAP
T (S 'IS-INST NIL map))
map))
:hints (("Goal" :in-theory (disable s-same-g)
:use ((:instance S-SAME-G
(a 'is-stack-map)
(R (s 'is-inst nil map)))
(:instance S-SAME-G
(a 'is-inst)
(R map))))))
(local
(defthm stack-map-set-equal
(IMPLIES (STACK-MAP? MAPS1)
(EQUAL (MAKESTACKMAP MAPS1 method-name METHOD-TABLE)
(S 'METHOD-TABLE METHOD-TABLE
(s 'method-name method-name
(s 'max-stack (g 'max-stack
(cdr (assoc-equal method-name method-table)))
MAPS1)))))
:hints (("Goal" :in-theory (enable stack-map?)))))
(defthm extract-code-wff-code1-same
(implies (wff-code1 code pc)
(equal (extract-code (append code '(END_OF_CODE)))
code)))
(defthm extract-code-wff-code1-same-2
(implies (wff-code1 code pc)
(equal (extract-maps (append code '(END_OF_CODE)))
nil)))
(defthm extract-maps-merged-code-safe-is-maps
(implies (and (wff-maps maps)
(wff-code1 code any)
(equal (car (last (mergeStackMapAndCode maps code method-name
method-table)))
'END_OF_CODE))
(equal (extract-maps (mergeStackMapAndCode maps code method-name method-table))
(update-maps-with-method-table maps method-name method-table)))
:hints (("Goal" :in-theory (e/d ()
(make-inst inst? stack-map?
makeStackmap))
:do-not '(generalize))))
(defthm extract-maps-merged-code-safe-is-maps-specific
(implies (and (wff-maps maps)
(wff-code code)
(equal (car (last (mergeStackMapAndCode maps code method-name
method-table)))
'END_OF_CODE))
(equal (extract-maps (mergeStackMapAndCode maps code method-name method-table))
(update-maps-with-method-table maps method-name method-table)))
:hints (("Goal" :in-theory (e/d (wff-code)
(make-inst)))))
(defthm member-binding-in-partial-sig-vector
(implies (and (bound? pc (extract-partial-sig-vector maps))
(equal (car (last (mergeStackMapAndCode maps code method-name
method-table)))
'END_OF_CODE)
(wff-maps maps)
(wff-code code))
(MEMBER
(CDR (ASSOC-EQUAL PC
(EXTRACT-PARTIAL-SIG-VECTOR
(UPDATE-MAPS-WITH-METHOD-TABLE MAPS method-name
method-table))))
(MERGESTACKMAPANDCODE MAPS CODE method-name method-table)))
:hints (("Goal" :in-theory (disable wff-code wff-maps
extract-partial-sig-vector
update-maps-with-method-table
mergestackmapandcode)
:use ((:instance member-extract-map
(x (CDR (ASSOC-EQUAL PC
(EXTRACT-PARTIAL-SIG-VECTOR
(UPDATE-MAPS-WITH-METHOD-TABLE MAPS method-name method-table)))))
(merged-code (MERGESTACKMAPANDCODE MAPS CODE
method-name
method-table)))))))
;----------------------------------------------------------------------
(defthm member-update-maps-stack-map
(implies (and (wff-maps maps)
(member x (update-maps-with-method-table maps method-name method-table)))
(stack-map? x)))
(defthm stack-map-specific
(implies (and (bound? pc (extract-partial-sig-vector maps))
(wff-maps maps))
(stack-map? (cdr (assoc-equal pc
(extract-partial-sig-vector
(update-maps-with-method-table maps method-name
method-table)))))))
;----------------------------------------------------------------------
(defthm verified-implies-partial-sig-vector-compatible-with-full-vector
(implies (and (merged-code-safe (mergeStackMapAndCode maps code
method-name
method-table)
init-frame)
(wff-code code)
(wff-maps maps)
(stack-map? init-frame)
(equal (g 'pc init-frame) 0)
(equal (g 'method-table init-frame) method-table)
(bound? pc (extract-partial-sig-vector maps)))
(sig-frame-compatible
(cdr (assoc-equal pc (extract-partial-sig-vector
(update-maps-with-method-table maps
method-name method-table))))
(cdr (assoc-equal pc (collect-witness-merged-code-safe
(mergeStackMapAndCode maps code method-name method-table)
init-frame)))))
:hints (("Goal"
:in-theory (disable sig-frame-compatible
mergeStackMapAndCode
member
stack-map?
update-maps-with-method-table
collect-witness-merged-code-safe
merged-code-safe)
:do-not-induct t)))
;----------------------------------------------------------------------
|
