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• Aignet-comb-transforms

Rewrite

Apply DAG-aware rewriting to the network.

Signature

(rewrite aignet aignet2 config) → new-aignet2

Arguments

aignet — Input aignet.

aignet2 — New aignet -- overwritten.

config — Guard (rewrite-config-p config).

Definitions and Theorems

Function: rewrite

(defun rewrite (aignet aignet2 config)
 (declare (xargs :stobjs (aignet aignet2)))
 (declare (xargs :guard (rewrite-config-p config)))
 (let ((__function__ 'rewrite))
  (declare (ignorable __function__))
  (b*
   (((local-stobjs aignet-tmp)
     (mv aignet2 aignet-tmp))
    (aignet-tmp (rewrite-core aignet aignet-tmp config))
    (aignet2 (aignet-prune-comb aignet-tmp aignet2
                                (rewrite-config->gatesimp config))))
   (mv aignet2 aignet-tmp))))

Theorem: stype-counts-of-rewrite

(defthm stype-counts-of-rewrite
  (b* ((?new-aignet2 (rewrite aignet aignet2 config)))
    (and (equal (stype-count :pi new-aignet2)
                (stype-count :pi aignet))
         (equal (stype-count :reg new-aignet2)
                (stype-count :reg aignet))
         (equal (stype-count :po new-aignet2)
                (stype-count :po aignet)))))

Theorem: rewrite-correct

(defthm rewrite-correct
  (b* ((?new-aignet2 (rewrite aignet aignet2 config)))
    (comb-equiv new-aignet2 aignet)))

Theorem: rewrite-normalize-inputs

(defthm rewrite-normalize-inputs
  (implies (syntaxp (not (equal aignet2 ''nil)))
           (equal (rewrite aignet aignet2 config)
                  (rewrite aignet nil config))))

Theorem: rewrite-of-node-list-fix-aignet

(defthm rewrite-of-node-list-fix-aignet
  (equal (rewrite (node-list-fix aignet)
                  aignet2 config)
         (rewrite aignet aignet2 config)))

Theorem: rewrite-node-list-equiv-congruence-on-aignet

(defthm rewrite-node-list-equiv-congruence-on-aignet
  (implies (node-list-equiv aignet aignet-equiv)
           (equal (rewrite aignet aignet2 config)
                  (rewrite aignet-equiv aignet2 config)))
  :rule-classes :congruence)

Theorem: rewrite-of-node-list-fix-aignet2

(defthm rewrite-of-node-list-fix-aignet2
  (equal (rewrite aignet (node-list-fix aignet2)
                  config)
         (rewrite aignet aignet2 config)))

Theorem: rewrite-node-list-equiv-congruence-on-aignet2

(defthm rewrite-node-list-equiv-congruence-on-aignet2
  (implies (node-list-equiv aignet2 aignet2-equiv)
           (equal (rewrite aignet aignet2 config)
                  (rewrite aignet aignet2-equiv config)))
  :rule-classes :congruence)

Theorem: rewrite-of-rewrite-config-fix-config

(defthm rewrite-of-rewrite-config-fix-config
  (equal (rewrite aignet
                  aignet2 (rewrite-config-fix config))
         (rewrite aignet aignet2 config)))

Theorem: rewrite-rewrite-config-equiv-congruence-on-config

(defthm rewrite-rewrite-config-equiv-congruence-on-config
  (implies (rewrite-config-equiv config config-equiv)
           (equal (rewrite aignet aignet2 config)
                  (rewrite aignet aignet2 config-equiv)))
  :rule-classes :congruence)

Subtopics

Rewrite-config

Configuration object for the rewrite aignet transform.

Cuts4-config

Configuration object for the 4-cut sweeping algorithm used in the aignet rewrite transform.