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(in-package "ACL2")
(include-book "bcv-model")
(include-book "generic")
(defthm bcv-execute-step-change-no-method-name
(implies (and (bcv-check-step-pre inst sig-frame)
(case-split (not (member (bcv-op-code inst)
'(HALT RETURN)))))
(equal (G 'METHOD-NAME
(BCV-EXECUTE-STEP inst
SIG-FRAME))
(g 'method-name sig-frame))))
(defthm bcv-execute-step-change-no-method-table
(implies (and (bcv-check-step-pre inst sig-frame)
(case-split (not (member (bcv-op-code inst)
'(HALT RETURN)))))
(equal (G 'METHOD-table
(BCV-EXECUTE-STEP inst
SIG-FRAME))
(g 'method-table sig-frame))))
;;;
;;; the following fact is not straightforward as people would have thought.
;;; because we don't know what's the stack-map that exist in the merged-code!
;;;
;;; After a HALT, we will depend o nthe new stack-map to continue the checking
;;;
;;; we better be able to say that methot-name and method-table registered does
;;; not change!!!
;;;
;;; Fri Nov 11 09:55:03 2005
;; (defthm verified-implies-method-name-no-change
;; (implies (and (merged-code-safe merged-code sig-frame)
;; (stack-map? sig-frame)
;; (bound? pc (collect-witness-merged-code-safe merged-code sig-frame)))
;; (equal (G 'METHOD-NAME
;; (CDR (ASSOC-EQUAL pc
;; (COLLECT-WITNESS-MERGED-CODE-SAFE
;; MERGED-CODE SIG-FRAME))))
;; (g 'method-name sig-frame)))
;; :hints (("Goal" :in-theory (e/d () (bcv-execute-step
;; sig-frame-compatible)))))
;;; We need to characterize it. Introducing the concept to
(defthm bcv-execute-step-produce-AFTERGOTO
(implies (and (bcv-check-step-pre inst sig-frame)
(case-split (member (bcv-op-code inst) '(RETURN HALT))))
(equal (bcv-execute-step inst sig-frame) 'AFTERGOTO)))
(local
(defthm equal-stac-frame-pop-n-still-equal
(equal (g 'is-stack-map (sig-frame-pop-n n sframe))
(g 'is-stack-map sframe))))
(local
(defthm equal-is-inst-pop-n-still-equal
(equal (g 'is-inst (sig-frame-pop-n n sframe))
(g 'is-inst sframe))))
(defthm bcv-execute-step-produce-STACK-MAPS
(implies (and (bcv-check-step-pre inst sig-frame)
(stack-map? sig-frame)
(case-split (not (member (bcv-op-code inst) '(RETURN HALT)))))
(stack-map? (bcv-execute-step inst sig-frame))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-bcv-check-pre"))
(defthm merge-code-safe-implies-bcv-check-step-pre-lemma
(implies (and (merged-code-safe merged-code sig-frame)
(member inst merged-code)
(wff-code1 (extract-code merged-code)
(g 'pc (car merged-code)))
(inst? inst)
(equal pc (g 'pc inst)))
(bcv-check-step-pre inst
(cdr (assoc-equal pc
(collect-witness-merged-code-safe
merged-code sig-frame)))))))
(DEFTHM verified-implies-method-name-no-change-lemma
(implies (and (merged-code-safe merged-code sig-frame)
(wff-maps-consistent (extract-maps merged-code) init-frame)
(stack-map? init-frame)
(or (equal sig-frame 'aftergoto)
(and (stack-map? sig-frame)
(equal (g 'method-name sig-frame)
(g 'method-name init-frame))
(equal (g 'method-table sig-frame)
(g 'method-table init-frame))))
(bound? pc (collect-witness-merged-code-safe merged-code sig-frame)))
(equal (G 'METHOD-NAME
(CDR (ASSOC-EQUAL pc
(COLLECT-WITNESS-MERGED-CODE-SAFE
MERGED-CODE SIG-FRAME))))
(g 'method-name init-frame)))
:hints (("Goal" :in-theory (e/d () (bcv-execute-step
bcv-check-step-pre
bcv-execute-step
stack-map? inst?
sig-frame-compatible))
:do-not '(generalize fertilize))))
(DEFTHM verified-implies-method-name-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-NAME
(CDR (ASSOC-EQUAL pc
(COLLECT-WITNESS-MERGED-CODE-SAFE
MERGED-CODE init-FRAME))))
(g 'method-name init-frame)))
:hints (("Goal" :in-theory (e/d () (bcv-execute-step
bcv-check-step-pre
bcv-execute-step
stack-map? inst?
sig-frame-compatible))
:do-not '(generalize fertilize))))
(defthm verified-implies-method-table-no-change-lemma
(implies (and (merged-code-safe merged-code sig-frame)
(wff-maps-consistent (extract-maps merged-code) init-frame)
(stack-map? init-frame)
(or (equal sig-frame 'aftergoto)
(and (stack-map? sig-frame)
(equal (g 'method-name sig-frame)
(g 'method-name init-frame))
(equal (g 'method-table sig-frame)
(g 'method-table init-frame))))
(bound? pc (collect-witness-merged-code-safe merged-code sig-frame)))
(equal (G 'method-table
(CDR (ASSOC-EQUAL pc
(COLLECT-WITNESS-MERGED-CODE-SAFE
MERGED-CODE SIG-FRAME))))
(g 'method-table init-frame)))
:hints (("Goal" :in-theory (e/d () (bcv-execute-step
bcv-check-step-pre
bcv-execute-step
stack-map? inst?
sig-frame-compatible))
:do-not '(generalize fertilize))))
(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)))
:hints (("Goal" :in-theory (e/d () (bcv-execute-step
bcv-check-step-pre
bcv-execute-step
stack-map? inst?
sig-frame-compatible))
:do-not '(generalize fertilize))))
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