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    • Vl-svstmt.lisp

    Combine-mask-alists

    Signature
    (combine-mask-alists masks acc) → res
    Arguments
    masks — Guard (sv::4vmask-alist-p masks).
    acc — Guard (sv::4vmask-alist-p acc).
    Returns
    res — Type (sv::4vmask-alist-p res).

    Definitions and Theorems

    Function: combine-mask-alists

    (defun combine-mask-alists (masks acc)
      (declare (xargs :guard (and (sv::4vmask-alist-p masks)
                                  (sv::4vmask-alist-p acc))))
      (let ((__function__ 'combine-mask-alists))
        (declare (ignorable __function__))
        (b* ((masks (sv::4vmask-alist-fix masks))
             (acc (sv::4vmask-alist-fix acc))
             ((when (atom masks)) acc)
             ((cons key val) (car masks))
             (look (or (cdr (hons-get key acc)) 0))
             (newval (bitops::sparseint-bitor val look)))
          (combine-mask-alists (cdr masks)
                               (hons-acons key newval acc)))))

    Theorem: 4vmask-alist-p-of-combine-mask-alists

    (defthm 4vmask-alist-p-of-combine-mask-alists
      (b* ((res (combine-mask-alists masks acc)))
        (sv::4vmask-alist-p res))
      :rule-classes :rewrite)

    Theorem: combine-mask-alists-of-4vmask-alist-fix-masks

    (defthm combine-mask-alists-of-4vmask-alist-fix-masks
      (equal (combine-mask-alists (sv::4vmask-alist-fix masks)
                                  acc)
             (combine-mask-alists masks acc)))

    Theorem: combine-mask-alists-4vmask-alist-equiv-congruence-on-masks

    (defthm combine-mask-alists-4vmask-alist-equiv-congruence-on-masks
      (implies (sv::4vmask-alist-equiv masks masks-equiv)
               (equal (combine-mask-alists masks acc)
                      (combine-mask-alists masks-equiv acc)))
      :rule-classes :congruence)

    Theorem: combine-mask-alists-of-4vmask-alist-fix-acc

    (defthm combine-mask-alists-of-4vmask-alist-fix-acc
      (equal (combine-mask-alists masks (sv::4vmask-alist-fix acc))
             (combine-mask-alists masks acc)))

    Theorem: combine-mask-alists-4vmask-alist-equiv-congruence-on-acc

    (defthm combine-mask-alists-4vmask-alist-equiv-congruence-on-acc
      (implies (sv::4vmask-alist-equiv acc acc-equiv)
               (equal (combine-mask-alists masks acc)
                      (combine-mask-alists masks acc-equiv)))
      :rule-classes :congruence)