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• Ia32e-paging

Page-fault-exception

Signature

(page-fault-exception addr err-no x86) → (mv flg zero x86)

Returns

x86 — Type (x86p x86), given the guard.

Definitions and Theorems

Function: page-fault-exception

(defun page-fault-exception (addr err-no x86)
  (declare (xargs :stobjs (x86)))
  (declare (xargs :guard t))
  (let ((__function__ 'page-fault-exception))
    (declare (ignorable __function__))
    (b* ((old-faults (fault x86))
         (new-faults (cons (list :page-fault err-no addr)
                           old-faults))
         (x86 (!fault new-faults x86)))
      (mv t 0 x86))))

Theorem: x86p-of-page-fault-exception.x86

(defthm x86p-of-page-fault-exception.x86
  (implies (and (x86p x86))
           (b* (((mv ?flg acl2::?zero ?x86)
                 (page-fault-exception addr err-no x86)))
             (x86p x86)))
  :rule-classes :rewrite)

Theorem: mv-nth-0-page-fault-exception

(defthm mv-nth-0-page-fault-exception
  (mv-nth 0
          (page-fault-exception addr err-no x86)))

Theorem: mv-nth-1-page-fault-exception

(defthm mv-nth-1-page-fault-exception
  (equal (mv-nth 1
                 (page-fault-exception addr err-no x86))
         0))

Theorem: xr-page-fault-exception

(defthm xr-page-fault-exception
  (implies
       (not (equal fld :fault))
       (equal (xr fld index
                  (mv-nth 2
                          (page-fault-exception addr err-no x86)))
              (xr fld index x86))))

Theorem: page-fault-exception-xw-values

(defthm page-fault-exception-xw-values
 (implies
  (not (equal fld :fault))
  (and
   (equal
    (mv-nth
        0
        (page-fault-exception addr err-no (xw fld index value x86)))
    (mv-nth 0
            (page-fault-exception addr err-no x86)))
   (equal
    (mv-nth
        1
        (page-fault-exception addr err-no (xw fld index value x86)))
    0))))

Theorem: page-fault-exception-xw-state

(defthm page-fault-exception-xw-state
 (implies
  (not (equal fld :fault))
  (equal
   (mv-nth
        2
        (page-fault-exception addr err-no (xw fld index value x86)))
   (xw fld index value
       (mv-nth 2
               (page-fault-exception addr err-no x86))))))

Theorem: 64-bit-modep-of-page-fault-exception

(defthm 64-bit-modep-of-page-fault-exception
 (equal
      (64-bit-modep (mv-nth 2
                            (page-fault-exception addr err-no x86)))
      (64-bit-modep x86)))

Theorem: x86-operation-mode-of-page-fault-exception

(defthm x86-operation-mode-of-page-fault-exception
  (equal (x86-operation-mode
              (mv-nth 2
                      (page-fault-exception addr err-no x86)))
         (x86-operation-mode x86)))