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|
(in-package "ACL2")
(include-book "djvm-model")
(include-book "generic")
(include-book "consistent-state")
(include-book "consistent-state-properties")
(local (include-book "consistent-state-step"))
(local (in-theory (disable consistent-state)))
;----------------------------------------------------------------------
(local
(defthm consistent-state-op-code-RETURN-implies-pc-in-range
(implies (and (consistent-state st)
(equal (op-code (next-inst st)) 'RETURN))
(pc-in-range st))
:hints (("Goal" :in-theory (enable next-inst)))))
(local (in-theory (disable next-inst bcv-simple-check-step-pre
extract-sig-frame pc-in-range
op-code consistent-state
bcv-method collect-witness-bcv-method
sig-frame-compatible
current-method)))
(local
(defthm consistent-state-implies-consistent-caller-frame-f
(implies (and (consp (cdr (g 'call-stack st)))
(consistent-state st))
(consistent-caller-frame (cadr (g 'call-stack st))
(car (g 'call-stack st))
(g 'method-table st)))
:hints (("Goal" :in-theory (e/d (consistent-state)
(consistent-caller-frame))))
:rule-classes :forward-chaining))
(local (in-theory (disable consistent-caller-frame)))
(local
(defthm consistent-frame-implies-max-stack-equal-f
(implies (consistent-frame frame method-table)
(equal (g 'max-stack frame)
(g 'max-stack (cdr (assoc-equal (g 'method-name frame)
method-table)))))
:hints (("Goal" :in-theory (enable consistent-frame)))
:rule-classes :forward-chaining))
(local
(defthm consistent-state-implies-consistent-frame-f
(implies (and (consp (cdr (g 'call-stack st)))
(consistent-state st))
(consistent-frame (cadr (g 'call-stack st))
(g 'method-table st)))
:hints (("Goal" :in-theory (e/d (consistent-state)
(consistent-frame))))
:rule-classes :forward-chaining))
(local
(defthm consistent-state-implies-bcv-simple-method-f
(implies (and (consp (cdr (g 'call-stack st)))
(consistent-state st))
(bcv-simple-method (s 'sig-vector
(collect-witness-bcv-method
(cdr (assoc-equal (g 'method-name (cadr (g 'call-stack
st)))
(g 'method-table st)))
(g 'method-table st))
(cdr (assoc-equal (g 'method-name (cadr (g 'call-stack
st)))
(g 'method-table st))))
(g 'method-table st)))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame) (bcv-simple-method))
:use consistent-state-implies-consistent-caller-frame-f))
:rule-classes :forward-chaining))
(local
(defthm consistent-state-implies-bcv-simple-method
(implies (and (consp (cdr (g 'call-stack st)))
(consistent-state st)
(equal (g 'method-table st) method-table))
(bcv-simple-method (s 'sig-vector
(collect-witness-bcv-method
(cdr (assoc-equal (g 'method-name (cadr (g 'call-stack
st)))
method-table))
method-table)
(cdr (assoc-equal (g 'method-name (cadr (g 'call-stack
st)))
method-table)))
method-table))))
(local
(defthm consistent-caller-frame-implies-pc-pc-equal-f
(implies (consistent-caller-frame caller callee method-table)
(equal (g 'pc caller)
(g 'pc (cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table))))))
:hints (("Goal" :in-theory (enable
sig-frame-compatible
consistent-caller-frame)))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-max-stack-max-stack-equal-f
(implies (consistent-caller-frame caller callee method-table)
(equal (g 'max-stack caller)
(g 'max-stack (cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table))))))
:hints (("Goal" :in-theory (enable
sig-frame-compatible
consistent-caller-frame)))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-method-table-method-table-equal-f
(implies (consistent-caller-frame caller callee method-table)
(equal method-table
(g 'method-table (cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table))))))
:hints (("Goal" :in-theory (enable
sig-frame-compatible
consistent-caller-frame)))
:rule-classes :forward-chaining))
;;;
;;; in fact all this forward chainings rules can be derived from the fact
;;; that
;;; consistent-caller-frame implies sig-frame-compatible
;;;
;;; However, we want sig-frame-compatible to be enabled in our main proof!
;;;
;; (skip-proofs
;; (defthm consistent-caller-frame-implies-sig-frame-compatible-f
;; (implies (consistent-caller-frame caller callee method-table)
;; (sig-frame-compatible (sig-frame-push-value (g 'ret callee)
;; caller)
;; (cdr (assoc-equal (g 'pc caller)
;; (g 'sig-vector
;; (cdr (assoc-equal
;; (g 'method-name
;; caller)
;; method-table)))))))
;; :rule-classes :forward-chaining))
;; moved in front.
(local
(defthm consistent-caller-frame-sig-frame-push-value-f
(implies (consistent-caller-frame caller callee method-table)
(equal (+ 1 (len (g 'op-stack caller)))
(g 'op-stack (cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table))))))
:hints (("Goal" :in-theory (enable
sig-frame-compatible
consistent-caller-frame)))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-op-stack-ok-f
(implies (consistent-caller-frame caller callee method-table)
(<= (+ 1 (len (g 'op-stack caller)))
(g 'max-stack caller)))
:hints (("Goal" :in-theory (enable consistent-caller-frame)))
:rule-classes :forward-chaining))
;; this is a bit difficult! We will first prove that
(defthm consistent-call-stack1-consistent-call-stack1
(implies (and (consistent-call-stack1 (cdr call-stack) top-frame method-table)
(consp (cdr call-stack)))
(consistent-call-stack1 (cddr call-stack) (cadr call-stack)
method-table))
:rule-classes :forward-chaining)
(defthm consistent-state-consp-call-stack
(implies (and (consistent-state st)
(consp (cdr (g 'call-stack st))))
(consistent-call-stack1 (cddr (g 'call-stack st))
(cadr (g 'call-stack st))
(g 'method-table st)))
:hints (("Goal" :in-theory (enable consistent-state))))
;;(i-am-here) ;; Thu Nov 3 22:27:31 2005
(local (in-theory (disable sig-frame-push-value)))
(local
(defthm consistent-caller-frame-implies-sig-frame-compatible-ok-f
(implies (consistent-caller-frame caller callee method-table)
(sig-frame-compatible
(sig-frame-push-value (g 'ret (cdr (assoc-equal
(g 'method-name callee)
method-table)))
(extract-sig-frame caller method-table))
(cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table)))))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame)
(bcv-simple-method))
:do-not-induct t))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-method-name-ok-f
(implies (consistent-caller-frame caller callee method-table)
(equal (g 'method-name
(cdr (assoc-equal (g 'pc caller)
(collect-witness-bcv-method
(cdr (assoc-equal
(g 'method-name caller)
method-table))
method-table))))
(g 'method-name caller)))
:hints (("Goal" :in-theory (e/d () (consistent-caller-frame))))
:rule-classes :forward-chaining))
;; (i-am-here) ;; Sun Nov 20 21:25:17 2005
(local
(defthm consistent-caller-frame-implies-pc-ok-f-1
(implies (consistent-caller-frame caller callee method-table)
(integerp (g 'pc caller)))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame) ())))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-pc-ok-f-2
(implies (consistent-caller-frame caller callee method-table)
(<= 1 (g 'pc caller)))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame) ())))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-pc-ok-f-3
(implies (consistent-caller-frame caller callee method-table)
(< (g 'pc caller)
(len (g 'code (cdr (assoc-equal (g 'method-name caller)
method-table))))))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame) ())))
:rule-classes :forward-chaining))
(local
(defthm consistent-caller-frame-implies-bcv-method
(implies (consistent-caller-frame caller callee method-table)
(bcv-method (cdr (assoc-equal (g 'method-name caller)
method-table))
method-table))
:hints (("Goal" :in-theory (e/d (consistent-caller-frame) ())))
:rule-classes :forward-chaining))
(local
(defthm consistent-state-preserved-by-RETURN-lemma
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'RETURN)
(djvm-check-RETURN inst st))
(consistent-state-step
(djvm-execute-RETURN inst st)))
:hints (("Goal" :in-theory (enable sig-frame-compatible pc-in-range)))))
; ----- Export ------
(local (in-theory (disable djvm-execute-RETURN consistent-state-step)))
(local
(defthm consistent-state-step-implies-consistent-state-djvm-execute-RETURN
(implies (consistent-state-step (djvm-execute-RETURN inst st))
(consistent-state (djvm-execute-RETURN inst st)))
:hints (("Goal" :use ((:instance
consistent-state-step-implies-implies-consistent-state
(s (djvm-execute-RETURN inst st))))))))
(defthm consistent-state-preserved-by-DJVM-RETURN
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'RETURN)
(djvm-check-RETURN inst st))
(consistent-state
(djvm-execute-RETURN inst st))))
;; this may have something new!!
;;
;;
;; how the check done by INVOKE can be "noticed". The result of check is
;; registered in the consistent-state, already!
;;
|
