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    • Process.lisp

    Svtv-compile-lazy

    Signature
    (svtv-compile-lazy nphases 
                       ins overrides outs prev-state updates 
                       state-updates in-vars state-machine) 
     
      → 
    (mv outalist final-state)
    Arguments
    nphases — Guard (posp nphases).
    ins — Guard (svtv-lines-p ins).
    overrides — Guard (svtv-overridelines-p overrides).
    outs — Guard (svtv-lines-p outs).
    prev-state — Guard (svex-alist-p prev-state).
    updates — Guard (svex-alist-p updates).
    state-updates — Guard (svex-alist-p state-updates).
    in-vars — Guard (svarlist-p in-vars).
    Returns
    outalist — Type (svex-alist-p outalist).
    final-state — Type (svex-alist-p final-state).

    Definitions and Theorems

    Function: svtv-compile-lazy

    (defun svtv-compile-lazy
           (nphases ins overrides outs prev-state updates
                    state-updates in-vars state-machine)
     (declare (xargs :guard (and (posp nphases)
                                 (svtv-lines-p ins)
                                 (svtv-overridelines-p overrides)
                                 (svtv-lines-p outs)
                                 (svex-alist-p prev-state)
                                 (svex-alist-p updates)
                                 (svex-alist-p state-updates)
                                 (svarlist-p in-vars))))
     (let ((__function__ 'svtv-compile-lazy))
      (declare (ignorable __function__))
      (b*
       (((with-fast prev-state updates state-updates))
        (in-alists
             (svtv-allphases-inputs 0 nphases ins overrides in-vars))
        (state-vars
             (acl2::hons-remove-dups (svex-alist-keys state-updates)))
        (state-updates
             (with-fast-alist
                  state-updates
                  (svex-alist-extract state-vars state-updates)))
        (prev-state
           (with-fast-alist prev-state
                            (svex-alist-extract state-vars prev-state)))
        (composedata
             (svtv-precompose-phases
                  (lposfix nphases)
                  (make-svtv-precompose-data
                       :nextstate state-updates
                       :input-substs (make-fast-alists in-alists)
                       :initst prev-state)))
        ((mv outalist final-state)
         (svtv-compile-phases-lazy 0 nphases outs
                                   updates composedata state-machine)))
       (fast-alist-free-list in-alists)
       (clear-memoize-table 'svex-compose)
       (clear-memoize-table 'svex-compose-svtv-phases-call)
       (mv outalist final-state))))

    Theorem: svex-alist-p-of-svtv-compile-lazy.outalist

    (defthm svex-alist-p-of-svtv-compile-lazy.outalist
      (b* (((mv ?outalist ?final-state)
            (svtv-compile-lazy nphases
                               ins overrides outs prev-state updates
                               state-updates in-vars state-machine)))
        (svex-alist-p outalist))
      :rule-classes :rewrite)

    Theorem: svex-alist-p-of-svtv-compile-lazy.final-state

    (defthm svex-alist-p-of-svtv-compile-lazy.final-state
      (b* (((mv ?outalist ?final-state)
            (svtv-compile-lazy nphases
                               ins overrides outs prev-state updates
                               state-updates in-vars state-machine)))
        (svex-alist-p final-state))
      :rule-classes :rewrite)

    Theorem: svtv-compile-lazy-of-pos-fix-nphases

    (defthm svtv-compile-lazy-of-pos-fix-nphases
      (equal (svtv-compile-lazy (pos-fix nphases)
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-pos-equiv-congruence-on-nphases

    (defthm svtv-compile-lazy-pos-equiv-congruence-on-nphases
     (implies
        (pos-equiv nphases nphases-equiv)
        (equal (svtv-compile-lazy nphases
                                  ins overrides outs prev-state updates
                                  state-updates in-vars state-machine)
               (svtv-compile-lazy nphases-equiv
                                  ins overrides outs prev-state updates
                                  state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svtv-lines-fix-ins

    (defthm svtv-compile-lazy-of-svtv-lines-fix-ins
      (equal (svtv-compile-lazy nphases (svtv-lines-fix ins)
                                overrides outs prev-state updates
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svtv-lines-equiv-congruence-on-ins

    (defthm svtv-compile-lazy-svtv-lines-equiv-congruence-on-ins
     (implies
        (svtv-lines-equiv ins ins-equiv)
        (equal (svtv-compile-lazy nphases
                                  ins overrides outs prev-state updates
                                  state-updates in-vars state-machine)
               (svtv-compile-lazy nphases ins-equiv
                                  overrides outs prev-state updates
                                  state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svtv-overridelines-fix-overrides

    (defthm svtv-compile-lazy-of-svtv-overridelines-fix-overrides
      (equal (svtv-compile-lazy nphases
                                ins (svtv-overridelines-fix overrides)
                                outs prev-state updates
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svtv-overridelines-equiv-congruence-on-overrides

    (defthm
     svtv-compile-lazy-svtv-overridelines-equiv-congruence-on-overrides
     (implies
       (svtv-overridelines-equiv overrides overrides-equiv)
       (equal (svtv-compile-lazy nphases
                                 ins overrides outs prev-state updates
                                 state-updates in-vars state-machine)
              (svtv-compile-lazy nphases ins
                                 overrides-equiv outs prev-state updates
                                 state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svtv-lines-fix-outs

    (defthm svtv-compile-lazy-of-svtv-lines-fix-outs
      (equal (svtv-compile-lazy nphases
                                ins overrides (svtv-lines-fix outs)
                                prev-state updates
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svtv-lines-equiv-congruence-on-outs

    (defthm svtv-compile-lazy-svtv-lines-equiv-congruence-on-outs
     (implies
       (svtv-lines-equiv outs outs-equiv)
       (equal (svtv-compile-lazy nphases
                                 ins overrides outs prev-state updates
                                 state-updates in-vars state-machine)
              (svtv-compile-lazy nphases ins
                                 overrides outs-equiv prev-state updates
                                 state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svex-alist-fix-prev-state

    (defthm svtv-compile-lazy-of-svex-alist-fix-prev-state
      (equal (svtv-compile-lazy nphases ins overrides
                                outs (svex-alist-fix prev-state)
                                updates
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svex-alist-equiv-congruence-on-prev-state

    (defthm svtv-compile-lazy-svex-alist-equiv-congruence-on-prev-state
     (implies
       (svex-alist-equiv prev-state prev-state-equiv)
       (equal (svtv-compile-lazy nphases
                                 ins overrides outs prev-state updates
                                 state-updates in-vars state-machine)
              (svtv-compile-lazy nphases ins
                                 overrides outs prev-state-equiv updates
                                 state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svex-alist-fix-updates

    (defthm svtv-compile-lazy-of-svex-alist-fix-updates
      (equal (svtv-compile-lazy nphases ins overrides
                                outs prev-state (svex-alist-fix updates)
                                state-updates in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svex-alist-equiv-congruence-on-updates

    (defthm svtv-compile-lazy-svex-alist-equiv-congruence-on-updates
     (implies
       (svex-alist-equiv updates updates-equiv)
       (equal (svtv-compile-lazy nphases
                                 ins overrides outs prev-state updates
                                 state-updates in-vars state-machine)
              (svtv-compile-lazy nphases ins
                                 overrides outs prev-state updates-equiv
                                 state-updates in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svex-alist-fix-state-updates

    (defthm svtv-compile-lazy-of-svex-alist-fix-state-updates
      (equal (svtv-compile-lazy nphases ins overrides outs prev-state
                                updates (svex-alist-fix state-updates)
                                in-vars state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svex-alist-equiv-congruence-on-state-updates

    (defthm
         svtv-compile-lazy-svex-alist-equiv-congruence-on-state-updates
     (implies
        (svex-alist-equiv state-updates state-updates-equiv)
        (equal (svtv-compile-lazy nphases
                                  ins overrides outs prev-state updates
                                  state-updates in-vars state-machine)
               (svtv-compile-lazy nphases ins overrides outs
                                  prev-state updates state-updates-equiv
                                  in-vars state-machine)))
     :rule-classes :congruence)

    Theorem: svtv-compile-lazy-of-svarlist-fix-in-vars

    (defthm svtv-compile-lazy-of-svarlist-fix-in-vars
      (equal (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates (svarlist-fix in-vars)
                                state-machine)
             (svtv-compile-lazy nphases
                                ins overrides outs prev-state updates
                                state-updates in-vars state-machine)))

    Theorem: svtv-compile-lazy-svarlist-equiv-congruence-on-in-vars

    (defthm svtv-compile-lazy-svarlist-equiv-congruence-on-in-vars
     (implies
         (svarlist-equiv in-vars in-vars-equiv)
         (equal (svtv-compile-lazy nphases
                                   ins overrides outs prev-state updates
                                   state-updates in-vars state-machine)
                (svtv-compile-lazy nphases ins overrides
                                   outs prev-state updates state-updates
                                   in-vars-equiv state-machine)))
     :rule-classes :congruence)