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(in-package "ACL2")
(include-book "djvm-model")
(include-book "consistent-state")
;----------------------------------------------------------------------
(encapsulate ()
(local (include-book "djvm-INVOKE"))
(defthm consistent-state-preserved-by-DJVM-INVOKE
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'INVOKE)
(djvm-check-INVOKE (next-inst st) st))
(consistent-state
(djvm-execute-INVOKE inst st)))))
(encapsulate ()
(local (include-book "djvm-PUSH"))
(defthm consistent-state-preserved-by-DJVM-PUSH
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'PUSH)
(djvm-check-PUSH inst st))
(consistent-state
(djvm-execute-PUSH inst st)))))
(encapsulate ()
(encapsulate ()
(local (include-book "djvm-IFEQ"))
(defthm consistent-state-preserved-by-DJVM-IFEQ
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'IFEQ)
(djvm-check-IFEQ inst st))
(consistent-state
(djvm-execute-IFEQ inst st))))))
(encapsulate ()
(local (include-book "djvm-HALT"))
(defthm consistent-state-preserved-by-DJVM-HALT
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'HALT)
(djvm-check-HALT inst st))
(consistent-state
(djvm-execute-HALT inst st)))))
(encapsulate ()
(local (include-book "djvm-POP"))
(defthm consistent-state-preserved-by-DJVM-POP
(implies (and (consistent-state st)
(equal (next-inst st) inst)
(equal (op-code inst) 'POP)
(djvm-check-POP inst st))
(consistent-state
(djvm-execute-POP inst st)))))
(encapsulate ()
(local (include-book "djvm-RETURN"))
(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)))))
(local (in-theory (disable consistent-state
next-inst
op-code
djvm-check-INVOKE
djvm-check-PUSH
djvm-check-IFEQ
djvm-check-HALT
djvm-check-POP
djvm-check-RETURN
djvm-execute-INVOKE
djvm-execute-PUSH
djvm-execute-IFEQ
djvm-execute-HALT
djvm-execute-POP
djvm-execute-RETURN)))
(defthm djvm-step-preserve-consistent-state
(implies (consistent-state st)
(consistent-state (djvm-step st))))
(local (in-theory (disable djvm-step)))
(defthm consistent-state-implies-opstack-is-in-range
(implies (consistent-state st)
(<= (len (g 'op-stack (topx (g 'call-stack st))))
(g 'max-stack
(current-method st))))
:hints (("Goal" :in-theory (enable consistent-state))))
(local (in-theory (disable current-method topx)))
;----------------------------------------------------------------------
(defthm djvm-run-preserve-consistent-state
(implies (consistent-state st)
(consistent-state (djvm-run st any))))
;----------------------------------------------------------------------
(local (in-theory (disable djvm-run current-method topx)))
(local
(defthm verified-program-never-overflow-operand-stack-lemma
(implies (consistent-state st)
(<= (len (g 'op-stack (topx (g 'call-stack (djvm-run st n)))))
(max-stack (current-method (djvm-run st n)))))))
;; in fact, we may still want to show that method-table does not change!!
;; depend on whether people thing that this is straight forward!
;; and current-method look up the current executing method in the original
;; method table
(defthm popStack-n-does-not-change-method-table
(equal (g 'method-table (popStack-n st n))
(g 'method-table st)))
(defthm method-table-does-not-change
(equal (g 'method-table (djvm-step st))
(g 'method-table st))
:hints (("Goal" :in-theory (enable djvm-step
djvm-execute-INVOKE
djvm-execute-PUSH
djvm-execute-IFEQ
djvm-execute-POP
djvm-execute-HALT
djvm-execute-RETURN))))
;;
;; in more complicated cases, we will prove this above as a properties of
;; individual
;;
;; execute-XXXX
;;
(defthm method-table-does-not-change-m-run
(equal (g 'method-table (djvm-run st n))
(g 'method-table st))
:hints (("Goal" :in-theory (enable djvm-run))))
(defthm verified-program-never-overflow-operand-stack-in-djvm
(implies (and (consistent-state st)
(all-method-verified (g 'method-table st)))
(<= (len (g 'op-stack (topx (g 'call-stack (djvm-run st n)))))
(max-stack (binding (g 'method-name
(topx (g 'call-stack (djvm-run st n))))
(g 'method-table st)))))
:hints (("Goal" :use verified-program-never-overflow-operand-stack-lemma
:in-theory (e/d (current-method)
(verified-program-never-overflow-operand-stack-lemma)))))
;----------------------------------------------------------------------
|
