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Match-exact

Signature

(match-exact pat x index mode) → new-index

Arguments

pat — Guard (stringp pat).

x — Guard (stringp x).

index — Guard (natp index).

mode — Guard (matchmode-p mode).

Returns

new-index — Type (maybe-natp new-index).

Definitions and Theorems

Function: match-exact

(defun match-exact (pat x index mode)
  (declare (xargs :guard (and (stringp pat)
                              (stringp x)
                              (natp index)
                              (matchmode-p mode))))
  (let ((__function__ 'match-exact))
    (declare (ignorable __function__))
    (b* ((index (lnfix index))
         (pat (lstrfix pat))
         (x (lstrfix x))
         ((matchmode mode))
         (patlen (strlen pat))
         (new-index (+ index patlen)))
      (and (<= new-index (strlen x))
           (if mode.case-insens
               (str::istreqv pat (subseq x index new-index))
             (equal pat (subseq x index new-index)))
           new-index))))

Theorem: maybe-natp-of-match-exact

(defthm maybe-natp-of-match-exact
  (b* ((new-index (match-exact pat x index mode)))
    (maybe-natp new-index))
  :rule-classes :type-prescription)

Theorem: bound-of-match-exact

(defthm bound-of-match-exact
  (b* ((?new-index (match-exact pat x index mode)))
    (implies new-index (<= (nfix index) new-index)))
  :rule-classes :linear)

Theorem: upper-bound-of-match-exact

(defthm upper-bound-of-match-exact
  (b* ((?new-index (match-exact pat x index mode)))
    (implies new-index
             (<= new-index (len (acl2::explode x)))))
  :rule-classes :linear)

Theorem: match-exact-of-str-fix-pat

(defthm match-exact-of-str-fix-pat
  (equal (match-exact (acl2::str-fix pat)
                      x index mode)
         (match-exact pat x index mode)))

Theorem: match-exact-streqv-congruence-on-pat

(defthm match-exact-streqv-congruence-on-pat
  (implies (acl2::streqv pat pat-equiv)
           (equal (match-exact pat x index mode)
                  (match-exact pat-equiv x index mode)))
  :rule-classes :congruence)

Theorem: match-exact-of-str-fix-x

(defthm match-exact-of-str-fix-x
  (equal (match-exact pat (acl2::str-fix x)
                      index mode)
         (match-exact pat x index mode)))

Theorem: match-exact-streqv-congruence-on-x

(defthm match-exact-streqv-congruence-on-x
  (implies (acl2::streqv x x-equiv)
           (equal (match-exact pat x index mode)
                  (match-exact pat x-equiv index mode)))
  :rule-classes :congruence)

Theorem: match-exact-of-nfix-index

(defthm match-exact-of-nfix-index
  (equal (match-exact pat x (nfix index) mode)
         (match-exact pat x index mode)))

Theorem: match-exact-nat-equiv-congruence-on-index

(defthm match-exact-nat-equiv-congruence-on-index
  (implies (acl2::nat-equiv index index-equiv)
           (equal (match-exact pat x index mode)
                  (match-exact pat x index-equiv mode)))
  :rule-classes :congruence)

Theorem: match-exact-of-matchmode-fix-mode

(defthm match-exact-of-matchmode-fix-mode
  (equal (match-exact pat x index (matchmode-fix mode))
         (match-exact pat x index mode)))

Theorem: match-exact-matchmode-equiv-congruence-on-mode

(defthm match-exact-matchmode-equiv-congruence-on-mode
  (implies (matchmode-equiv mode mode-equiv)
           (equal (match-exact pat x index mode)
                  (match-exact pat x index mode-equiv)))
  :rule-classes :congruence)