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• Linear-memory-in-app-view

Rvm08

Signature

(rvm08 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm08$inline

(defun rvm08$inline (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr))
  (mbe :logic
       (if (canonical-address-p addr)
           (mv nil (memi (n48 addr) x86) x86)
         (mv 'rvm08 0 x86))
       :exec (mv nil (memi (n48 addr) x86) x86)))

Theorem: rvm08-no-error

(defthm rvm08-no-error
  (implies (canonical-address-p addr)
           (equal (mv-nth 0 (rvm08 addr x86))
                  nil)))

Theorem: n08p-mv-nth-1-rvm08

(defthm n08p-mv-nth-1-rvm08
 (unsigned-byte-p 8 (mv-nth 1 (rvm08 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm08 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rvm08 addr x86)))
                   (< (mv-nth 1 (rvm08 addr x86)) 256))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm08-unchanged

(defthm x86p-mv-nth-2-rvm08-unchanged
  (equal (mv-nth 2 (rvm08 addr x86)) x86))

Theorem: xr-rvm08

(defthm xr-rvm08
  (equal (xr fld index (mv-nth 2 (rvm08 addr x86)))
         (xr fld index x86)))

Theorem: rvm08-xw-values

(defthm rvm08-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0 (rvm08 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm08 addr x86)))
            (equal (mv-nth 1 (rvm08 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm08 addr x86))))))