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Svex-varmasks/env->aig-env-stats-rec

Signature

(svex-varmasks/env->aig-env-stats-rec vars masks boolmasks nextvar) 
  → 
(mv err new-nextvar)

Arguments

vars — Guard (svarlist-p vars).

masks — Guard (svex-mask-alist-p masks).

boolmasks — Guard (svar-boolmasks-p boolmasks).

nextvar — Guard (natp nextvar).

Returns

new-nextvar — Type (natp new-nextvar).

Definitions and Theorems

Function: svex-varmasks/env->aig-env-stats-rec

(defun svex-varmasks/env->aig-env-stats-rec
       (vars masks boolmasks nextvar)
 (declare (xargs :guard (and (svarlist-p vars)
                             (svex-mask-alist-p masks)
                             (svar-boolmasks-p boolmasks)
                             (natp nextvar))))
 (let ((__function__ 'svex-varmasks/env->aig-env-stats-rec))
  (declare (ignorable __function__))
  (b* (((when (atom vars))
        (mv nil (lnfix nextvar)))
       (mask (svex-mask-lookup (svex-var (car vars))
                               masks))
       ((when (sparseint-< mask 0))
        (mv (msg "Negative mask: ~x0~%"
                 (svar-fix (car vars)))
            (lnfix nextvar)))
       (boolmask (svar-boolmasks-lookup (car vars)
                                        boolmasks))
       (nextvar (+ (lnfix nextvar)
                   (4vmask-to-a4vec-varcount mask boolmask))))
   (svex-varmasks/env->aig-env-stats-rec (cdr vars)
                                         masks boolmasks nextvar))))

Theorem: natp-of-svex-varmasks/env->aig-env-stats-rec.new-nextvar

(defthm natp-of-svex-varmasks/env->aig-env-stats-rec.new-nextvar
  (b* (((mv ?err ?new-nextvar)
        (svex-varmasks/env->aig-env-stats-rec
             vars masks boolmasks nextvar)))
    (natp new-nextvar))
  :rule-classes :rewrite)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svarlist-fix-vars

(defthm svex-varmasks/env->aig-env-stats-rec-of-svarlist-fix-vars
 (equal
      (svex-varmasks/env->aig-env-stats-rec (svarlist-fix vars)
                                            masks boolmasks nextvar)
      (svex-varmasks/env->aig-env-stats-rec
           vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svarlist-equiv-congruence-on-vars

(defthm
 svex-varmasks/env->aig-env-stats-rec-svarlist-equiv-congruence-on-vars
 (implies (svarlist-equiv vars vars-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars-equiv masks boolmasks nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svex-mask-alist-fix-masks

(defthm
  svex-varmasks/env->aig-env-stats-rec-of-svex-mask-alist-fix-masks
  (equal (svex-varmasks/env->aig-env-stats-rec
              vars (svex-mask-alist-fix masks)
              boolmasks nextvar)
         (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svex-mask-alist-equiv-congruence-on-masks

(defthm
 svex-varmasks/env->aig-env-stats-rec-svex-mask-alist-equiv-congruence-on-masks
 (implies (svex-mask-alist-equiv masks masks-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks-equiv boolmasks nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svar-boolmasks-fix-boolmasks

(defthm
 svex-varmasks/env->aig-env-stats-rec-of-svar-boolmasks-fix-boolmasks
 (equal (svex-varmasks/env->aig-env-stats-rec
             vars
             masks (svar-boolmasks-fix boolmasks)
             nextvar)
        (svex-varmasks/env->aig-env-stats-rec
             vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svar-boolmasks-equiv-congruence-on-boolmasks

(defthm
 svex-varmasks/env->aig-env-stats-rec-svar-boolmasks-equiv-congruence-on-boolmasks
 (implies (svar-boolmasks-equiv boolmasks boolmasks-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks-equiv nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-nfix-nextvar

(defthm svex-varmasks/env->aig-env-stats-rec-of-nfix-nextvar
  (equal (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks (nfix nextvar))
         (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-nat-equiv-congruence-on-nextvar

(defthm
 svex-varmasks/env->aig-env-stats-rec-nat-equiv-congruence-on-nextvar
 (implies (nat-equiv nextvar nextvar-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar-equiv)))
 :rule-classes :congruence)