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(in-package "ACL2")
(include-book "bcv-model")
(include-book "bcv-simple-model")
(include-book "generic")
(encapsulate ()
(local (include-book "bcv-find-correct-witness-bcv-check-pre"))
(defthm merge-code-safe-implies-bcv-check-step-pre
(implies (and (merged-code-safe merged-code sig-frame)
(equal (g 'pc sig-frame) 0)
(wff-code (extract-code merged-code))
(member inst (extract-code merged-code))
(equal pc (g 'pc inst)))
(bcv-check-step-pre inst
(cdr (assoc-equal pc
(collect-witness-merged-code-safe
merged-code sig-frame)))))
:hints (("Goal" :in-theory (disable inst? bcv-check-step-pre)
:cases ((consp (cdr merged-code)))
:do-not-induct t))))
;;; bcv-simple-execute-step is almost the same as
;;; bcv-execute-step, except for IFEQ. RETURN. HALT (Tue Nov 8 14:21:27 2005)
;;;
;;; bcv-simple-execute-step produce two next states for IFEQ
;;; produce none for RETURN and HALT !!
;;;
;;;
;; (i-am-here) ;; Fri Nov 11 10:58:03 2005
;; (encapsulate ()
;; (local (include-book "bcv-check-pre-implies-bcv-simple-check-pre-if-all-method-verified"))
;; (defthm bcv-check-step-pre-implies-bcv-simple-check-step
;; (implies (and (bcv-check-step-pre inst sig-frame)
;; (bcv-verified-method-table (g 'method-table sig-frame)))
;; (bcv-simple-check-step-pre (g 'inst inst) sig-frame))))
;; not true.
;;
;; because bcv-simple-check-step-pre refers to sig-vector component of a
;; method!
;;
;; We somehow need to say if the sig-vector component is equal to ...
;;
;; (sig-frame-compatible
;; (sig-method-init-frame method method-table)
;; (binding 0 (g 'sig-vector method)))
;;
;; Basically we need this above fact
;;
(encapsulate ()
(local (include-book "bcv-check-pre-implies-bcv-simple-check-pre-if-all-method-verified"))
(defthm bcv-check-step-pre-implies-bcv-simple-check-step
(implies (and (bcv-check-step-pre inst sig-frame)
(bcv-verified-method-table (g 'method-table sig-frame)))
(bcv-simple-check-step-pre (g 'inst inst) sig-frame))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-all-next-state"))
(defthm merged-code-safe-implies-all-next-state-safe
(implies (and (merged-code-safe merged-code sig-frame)
(equal (extract-maps merged-code)
(update-maps-with-method-table
(g 'stackmaps
(cdr (assoc-equal (g 'method-name sig-frame)
(g 'method-table sig-frame))))
(g 'method-name sig-frame)
(g 'method-table sig-frame)))
(equal (g 'pc sig-frame) 0)
(stack-map? sig-frame)
(wff-code (extract-code merged-code))
(wff-maps (extract-maps merged-code))
(member inst (extract-code merged-code))
(inst? inst)
(equal pre (binding (g 'pc inst) (collect-witness-merged-code-safe
merged-code sig-frame))))
(all-next-state-safe
(bcv-simple-execute-step (g 'inst inst) pre)
(collect-witness-merged-code-safe merged-code sig-frame)))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-all-next-state"))
(defthm member-inst-extract-code-implies-bound-pc
(implies (and (merged-code-safe merged-code sig-frame)
(member inst (extract-code merged-code)))
(ASSOC-EQUAL (G 'PC INST)
(COLLECT-WITNESS-MERGED-CODE-SAFE MERGED-CODE SIG-FRAME)))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-all-next-state"))
(defthm verified-implies-method-table-no-change
(implies (and (merged-code-safe merged-code init-frame)
(wff-maps-consistent (extract-maps merged-code) init-frame)
(stack-map? init-frame)
(bound? pc (collect-witness-merged-code-safe merged-code init-frame)))
(equal (G 'method-table
(CDR (ASSOC-EQUAL pc
(COLLECT-WITNESS-MERGED-CODE-SAFE
MERGED-CODE INIT-FRAME))))
(g 'method-table init-frame)))))
(defthm merge-code-safe-implies-bcv-simple-check-pre-on-witness-lemma
(implies (and (merged-code-safe merged-code sig-frame)
(bcv-verified-method-table (g 'method-table sig-frame))
(wff-maps-consistent (extract-maps merged-code) sig-frame)
(equal (extract-maps merged-code)
(update-maps-with-method-table
(g 'stackmaps
(cdr (assoc-equal (g 'method-name sig-frame)
(g 'method-table sig-frame))))
(g 'method-name sig-frame)
(g 'method-table sig-frame)))
(stack-map? sig-frame)
(wff-maps (extract-maps merged-code))
(equal (g 'pc sig-frame) 0)
(equal (g 'pc inst) pc)
(inst? inst)
(wff-code (extract-code merged-code))
(member inst (extract-code merged-code)))
(bcv-simple-inst pc
(g 'inst inst)
(collect-witness-merged-code-safe
merged-code sig-frame)))
:hints (("Goal" :do-not-induct t
:in-theory (disable bcv-check-step-pre
bcv-verified-method-table
bcv-simple-check-step-pre
bcv-simple-execute-step))))
(defthm update-maps-with-method-table-produces-consistent-maps
(wff-maps-consistent
(update-maps-with-method-table maps
(g 'method-name sig-frame)
(g 'method-table sig-frame))
sig-frame))
(defthm merge-code-safe-implies-bcv-simple-check-pre-on-witness
(implies (and (merged-code-safe merged-code sig-frame)
(bcv-verified-method-table (g 'method-table sig-frame))
(equal (extract-maps merged-code)
(update-maps-with-method-table
(g 'stackmaps
(cdr (assoc-equal (g 'method-name sig-frame)
(g 'method-table sig-frame))))
(g 'method-name sig-frame)
(g 'method-table sig-frame)))
(stack-map? sig-frame)
(wff-maps (extract-maps merged-code))
(equal (g 'pc sig-frame) 0)
(equal (g 'pc inst) pc)
(inst? inst)
(wff-code (extract-code merged-code))
(member inst (extract-code merged-code)))
(bcv-simple-inst pc
(g 'inst inst)
(collect-witness-merged-code-safe
merged-code sig-frame)))
:hints (("Goal" :do-not-induct t
:in-theory (disable bcv-check-step-pre
bcv-verified-method-table
bcv-simple-check-step-pre
bcv-simple-execute-step)
:cases ((wff-maps-consistent (extract-maps merged-code) sig-frame)))))
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