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• Bfr

Bfrstate

Object encoding the bfr-mode and current node index bound, if using AIGNET mode.

Signature

(bfrstate mode bound) → bfrstate

Arguments

mode — Guard (bfr-mode-p mode).

bound — Guard (natp bound).

Returns

bfrstate — Type (bfrstate-p bfrstate).

For a bfr object to be well-formed, we need to know, first, whether we're operating in BDD, AIG, or AIGNET mode, and second, if in AIGNET mode, the bound on node indices. This type encodes the bfr-mode in the lower 2 bits and the node index bound in the upper bits of an integer.

Definitions and Theorems

Function: bfrstate

(defun bfrstate (mode bound)
  (declare (xargs :guard (and (bfr-mode-p mode) (natp bound))))
  (let ((__function__ 'bfrstate))
    (declare (ignorable __function__))
    (logior (ash (lnfix bound) 2)
            (bfr-mode-fix mode))))

Theorem: bfrstate-p-of-bfrstate

(defthm bfrstate-p-of-bfrstate
  (b* ((bfrstate (bfrstate mode bound)))
    (bfrstate-p bfrstate))
  :rule-classes (:rewrite :type-prescription))

Theorem: bfrstate-of-bfr-mode-fix-mode

(defthm bfrstate-of-bfr-mode-fix-mode
  (equal (bfrstate (bfr-mode-fix mode) bound)
         (bfrstate mode bound)))

Theorem: bfrstate-bfr-mode-equiv-congruence-on-mode

(defthm bfrstate-bfr-mode-equiv-congruence-on-mode
  (implies (bfr-mode-equiv mode mode-equiv)
           (equal (bfrstate mode bound)
                  (bfrstate mode-equiv bound)))
  :rule-classes :congruence)

Theorem: bfrstate-of-nfix-bound

(defthm bfrstate-of-nfix-bound
  (equal (bfrstate mode (nfix bound))
         (bfrstate mode bound)))

Theorem: bfrstate-nat-equiv-congruence-on-bound

(defthm bfrstate-nat-equiv-congruence-on-bound
  (implies (acl2::nat-equiv bound bound-equiv)
           (equal (bfrstate mode bound)
                  (bfrstate mode bound-equiv)))
  :rule-classes :congruence)

Subtopics

Bfrstate-fix

Fixing function for bfrstate objects.

Bfrstate-p

Recognizer for a bfrstate object.

Bfrstate->mode

Access the bfr-mode field of a bfrstate object.

Bfrstate->bound

Access the node index bound field of a bfrstate object.