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(in-package "ACL2")
(include-book "jvm-model")
(include-book "bcv-simple-model")
(defthm g-pc-extract-sig-frame
(equal (G 'PC
(EXTRACT-SIG-FRAME frame method-table))
(g 'pc frame))
:hints (("Goal" :in-theory (enable extract-sig-frame))))
(defthm g-max-stack-extract-sig-frame
(equal (G 'max-stack
(EXTRACT-SIG-FRAME frame method-table))
(g 'max-stack frame))
:hints (("Goal" :in-theory (enable extract-sig-frame))))
(defthm g-opstack-stack-extract-sig-frame
(equal (G 'op-stack
(EXTRACT-SIG-FRAME frame method-table))
(len (g 'op-stack frame)))
:hints (("Goal" :in-theory (enable extract-sig-frame))))
(defthm g-method-table-extract-sig-frame
(equal (G 'method-table
(EXTRACT-SIG-FRAME frame method-table))
method-table)
:hints (("Goal" :in-theory (enable extract-sig-frame))))
(defthm g-method-name-extract-sig-frame
(equal (G 'method-name
(EXTRACT-SIG-FRAME frame method-table))
(g 'method-name frame))
:hints (("Goal" :in-theory (enable extract-sig-frame))))
;----------------------------------------------------------------------
(defthm integerp-implies-integper-plus-1
(implies (integerp x)
(integerp (+ 1 x))))
;----------------------------------------------------------------------
(defthm g-opstack-create-init-frame
(equal (g 'op-stack (createinitframe anymethod anylocals st))
nil))
(defthm g-max-stack-create-init-frame
(equal (g 'max-stack (createinitframe anymethod anylocals st))
(g 'max-stack (cdr (assoc-equal anymethod
(g 'method-table st))))))
(defthm g-method-name-create-init-frame
(equal (g 'method-name (createinitframe method-name anylocals st))
method-name))
;----------------------------------------------------------------------
(defthm g-method-table-popStack-n
(equal (g 'method-table (popStack-n st n))
(g 'method-table st)))
;----------------------------------------------------------------------
;; (local
;; (defthm nth-out-of-bound-is-nil-1
;; (implies (and (true-listp l)
;; (integerp x)
;; (>= x (len l)))
;; (not (nth x l)))))
;; ;; nth is a strange. if x is not a number,
;; ;; it returns (car l) ...
;; (local
;; (defthm nth-out-of-bound-is-nil-2
;; (implies (and (true-listp l)
;; (integerp x)
;; (< x 0))
;; (not (nth x l)))))
;----------------------------------------------------------------------
(defthm g-max-stack-popStack-n
(equal (g 'max-stack (car (g 'call-stack (popStack-n st n))))
(g 'max-stack (car (g 'call-stack st)))))
(defthm g-method-name-popStack-n
(equal (g 'method-name (car (g 'call-stack (popStack-n st n))))
(g 'method-name (car (g 'call-stack st)))))
(defthm g-pc-sig-frame-pop-n
(equal (G 'PC
(SIG-FRAME-POP-N n pre))
(g 'pc pre)))
(defthm g-max-stack-sig-frame-pop-n
(equal (G 'max-stack
(SIG-FRAME-POP-N n pre))
(g 'max-stack pre)))
;----------------------------------------------------------------------
(defthm g-method-table-sig-frame-pop-n
(equal (G 'METHOD-TABLE
(SIG-FRAME-POP-N n PRE))
(g 'method-table pre)))
;----------------------------------------------------------------------
(defthm g-method-name-sig-frame-pop-n
(equal (G 'METHOD-name
(SIG-FRAME-POP-N n PRE))
(g 'method-name pre)))
;----------------------------------------------------------------------
(defthm inst?-implies-not-stackmap
(implies (inst? inst)
(not (stack-map? inst))))
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