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    • Vl-find-case-equivalent-strings

    Vl-find-case-equivalent-strings-aux

    Signature
    (vl-find-case-equivalent-strings-aux x y) → equiv-sets
    Arguments
    x — Some subset of all the strings we're considering.
        Guard (string-listp x).
    y — The full list of all the strings, fixed.
        Guard (string-listp y).
    Returns
    equiv-sets — Type (string-list-listp equiv-sets), given (string-listp y).

    O(n^2) in the length of X, but X should be the list of duplicated strings, so there shouldn't be many.

    Definitions and Theorems

    Function: vl-find-case-equivalent-strings-aux

    (defun vl-find-case-equivalent-strings-aux (x y)
      (declare (xargs :guard (and (string-listp x)
                                  (string-listp y))))
      (let ((__function__ 'vl-find-case-equivalent-strings-aux))
        (declare (ignorable __function__))
        (if (atom x)
            nil
          (cons (vl-collect-ieqv-strings (car x) y)
                (vl-find-case-equivalent-strings-aux (cdr x)
                                                     y)))))

    Theorem: string-list-listp-of-vl-find-case-equivalent-strings-aux

    (defthm string-list-listp-of-vl-find-case-equivalent-strings-aux
      (implies
           (string-listp y)
           (b* ((equiv-sets (vl-find-case-equivalent-strings-aux x y)))
             (string-list-listp equiv-sets)))
      :rule-classes :rewrite)