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Svex-compose-assigns/delays

Signature

(svex-compose-assigns/delays assigns 
                             delays constraints &key (rewrite 't) 
                             (verbosep 'nil)) 
 
  → 
(mv updates nextstates full-constraints)

Arguments

assigns — Guard (svex-alist-p assigns).

delays — Guard (svex-alist-p delays).

constraints — Guard (constraintlist-p constraints).

Returns

updates — Type (svex-alist-p updates).

nextstates — Type (svex-alist-p nextstates).

full-constraints — Type (constraintlist-p full-constraints).

Definitions and Theorems

Function: svex-compose-assigns/delays-fn

(defun
 svex-compose-assigns/delays-fn
 (assigns delays constraints rewrite verbosep)
 (declare (xargs :guard (and (svex-alist-p assigns)
                             (svex-alist-p delays)
                             (constraintlist-p constraints))))
 (let
  ((__function__ 'svex-compose-assigns/delays))
  (declare (ignorable __function__))
  (b*
     ((updates (cwtime (svex-assigns-compose assigns
                                             :rewrite rewrite)
                       :mintime 1))
      ((with-fast updates))
      (next-states (cwtime (svex-alist-compose delays updates)
                           :mintime 1))
      (full-constraints
           (cwtime (constraintlist-compose constraints updates)
                   :mintime 1))
      (- (clear-memoize-table 'svex-compose))
      ((unless rewrite)
       (mv updates next-states full-constraints))
      (rewritten
           (svex-alist-rewrite-fixpoint (append updates next-states)
                                        :verbosep verbosep
                                        :count 2))
      (updates-len (len updates))
      (updates (take updates-len rewritten))
      (next-states (nthcdr updates-len rewritten)))
     (clear-memoize-table 'svex-compose)
     (mv updates next-states full-constraints))))

Theorem: svex-alist-p-of-svex-compose-assigns/delays.updates

(defthm svex-alist-p-of-svex-compose-assigns/delays.updates
        (b* (((mv ?updates ?nextstates ?full-constraints)
              (svex-compose-assigns/delays-fn
                   assigns
                   delays constraints rewrite verbosep)))
            (svex-alist-p updates))
        :rule-classes :rewrite)

Theorem: svex-alist-p-of-svex-compose-assigns/delays.nextstates

(defthm svex-alist-p-of-svex-compose-assigns/delays.nextstates
        (b* (((mv ?updates ?nextstates ?full-constraints)
              (svex-compose-assigns/delays-fn
                   assigns
                   delays constraints rewrite verbosep)))
            (svex-alist-p nextstates))
        :rule-classes :rewrite)

Theorem: constraintlist-p-of-svex-compose-assigns/delays.full-constraints

(defthm
    constraintlist-p-of-svex-compose-assigns/delays.full-constraints
    (b* (((mv ?updates ?nextstates ?full-constraints)
          (svex-compose-assigns/delays-fn
               assigns
               delays constraints rewrite verbosep)))
        (constraintlist-p full-constraints))
    :rule-classes :rewrite)

Theorem: svex-compose-assigns/delays-fn-of-svex-alist-fix-assigns

(defthm svex-compose-assigns/delays-fn-of-svex-alist-fix-assigns
        (equal (svex-compose-assigns/delays-fn
                    (svex-alist-fix assigns)
                    delays constraints rewrite verbosep)
               (svex-compose-assigns/delays-fn
                    assigns
                    delays constraints rewrite verbosep)))

Theorem: svex-compose-assigns/delays-fn-svex-alist-equiv-congruence-on-assigns

(defthm
 svex-compose-assigns/delays-fn-svex-alist-equiv-congruence-on-assigns
 (implies (svex-alist-equiv assigns assigns-equiv)
          (equal (svex-compose-assigns/delays-fn
                      assigns
                      delays constraints rewrite verbosep)
                 (svex-compose-assigns/delays-fn
                      assigns-equiv
                      delays constraints rewrite verbosep)))
 :rule-classes :congruence)

Theorem: svex-compose-assigns/delays-fn-of-svex-alist-fix-delays

(defthm
 svex-compose-assigns/delays-fn-of-svex-alist-fix-delays
 (equal
     (svex-compose-assigns/delays-fn assigns (svex-alist-fix delays)
                                     constraints rewrite verbosep)
     (svex-compose-assigns/delays-fn
          assigns
          delays constraints rewrite verbosep)))

Theorem: svex-compose-assigns/delays-fn-svex-alist-equiv-congruence-on-delays

(defthm
 svex-compose-assigns/delays-fn-svex-alist-equiv-congruence-on-delays
 (implies
  (svex-alist-equiv delays delays-equiv)
  (equal
     (svex-compose-assigns/delays-fn
          assigns
          delays constraints rewrite verbosep)
     (svex-compose-assigns/delays-fn assigns delays-equiv
                                     constraints rewrite verbosep)))
 :rule-classes :congruence)

Theorem: svex-compose-assigns/delays-fn-of-constraintlist-fix-constraints

(defthm
    svex-compose-assigns/delays-fn-of-constraintlist-fix-constraints
    (equal (svex-compose-assigns/delays-fn
                assigns
                delays (constraintlist-fix constraints)
                rewrite verbosep)
           (svex-compose-assigns/delays-fn
                assigns
                delays constraints rewrite verbosep)))

Theorem: svex-compose-assigns/delays-fn-constraintlist-equiv-congruence-on-constraints

(defthm
 svex-compose-assigns/delays-fn-constraintlist-equiv-congruence-on-constraints
 (implies (constraintlist-equiv constraints constraints-equiv)
          (equal (svex-compose-assigns/delays-fn
                      assigns
                      delays constraints rewrite verbosep)
                 (svex-compose-assigns/delays-fn
                      assigns delays
                      constraints-equiv rewrite verbosep)))
 :rule-classes :congruence)