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Tlb-key

Tlb-key->wp

Access the |X86ISA|::|WP| field of a tlb-key bit structure.

Signature
(tlb-key->wp x) → wp
Arguments: x — Guard (tlb-key-p x).
Returns: wp — Type (bitp wp).

Definitions and Theorems

Function: tlb-key->wp$inline

(defun tlb-key->wp$inline (x)
  (declare (xargs :guard (tlb-key-p x)))
  (mbe :logic
       (let ((x (tlb-key-fix x)))
         (part-select x :low 0 :width 1))
       :exec (the (unsigned-byte 1)
                  (logand (the (unsigned-byte 1) 1)
                          (the (unsigned-byte 46) x)))))

Theorem: bitp-of-tlb-key->wp

(defthm bitp-of-tlb-key->wp
  (b* ((wp (tlb-key->wp$inline x)))
    (bitp wp))
  :rule-classes :rewrite)

Theorem: tlb-key->wp$inline-of-tlb-key-fix-x

(defthm tlb-key->wp$inline-of-tlb-key-fix-x
  (equal (tlb-key->wp$inline (tlb-key-fix x))
         (tlb-key->wp$inline x)))

Theorem: tlb-key->wp$inline-tlb-key-equiv-congruence-on-x

(defthm tlb-key->wp$inline-tlb-key-equiv-congruence-on-x
  (implies (tlb-key-equiv x x-equiv)
           (equal (tlb-key->wp$inline x)
                  (tlb-key->wp$inline x-equiv)))
  :rule-classes :congruence)

Theorem: tlb-key->wp-of-tlb-key

(defthm tlb-key->wp-of-tlb-key
 (equal (tlb-key->wp (tlb-key wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl vpn))
        (bfix wp)))

Theorem: tlb-key->wp-of-write-with-mask

(defthm tlb-key->wp-of-write-with-mask
 (implies
  (and
    (fty::bitstruct-read-over-write-hyps x tlb-key-equiv-under-mask)
    (tlb-key-equiv-under-mask x y fty::mask)
    (equal (logand (lognot fty::mask) 1) 0))
  (equal (tlb-key->wp x)
         (tlb-key->wp y))))