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• Acre

Match-regex

Perform regular expression matching on a string.

Signature

(match-regex regex x &key (case-insens 'nil)) → match

Arguments

regex — Regular expression to match.
    Guard (regex-p regex).

x — String to match against.
    Guard (stringp x).

case-insens — Match case-insensitively.
    Guard (booleanp case-insens).

Returns

match — Result of matching, including whether it matched, which part matched, and capture group matches.
    Type (matchresult-p match).

Definitions and Theorems

Function: match-regex-fn

(defun match-regex-fn (regex x case-insens)
 (declare (xargs :guard (and (regex-p regex)
                             (stringp x)
                             (booleanp case-insens))))
 (let ((__function__ 'match-regex))
  (declare (ignorable __function__))
  (b*
   ((ans
      (match-regex-locs regex x 0
                        (make-matchmode :case-insens case-insens))))
   ans)))

Theorem: matchresult-p-of-match-regex

(defthm matchresult-p-of-match-regex
  (b* ((match (match-regex-fn regex x case-insens)))
    (matchresult-p match))
  :rule-classes :rewrite)

Theorem: matchresult-in-bounds-of-match-regex

(defthm matchresult-in-bounds-of-match-regex
  (b* ((?match (match-regex-fn regex x case-insens)))
    (matchresult-in-bounds match)))

Theorem: matchresult->str-of-match-regex

(defthm matchresult->str-of-match-regex
  (b* ((?match (match-regex-fn regex x case-insens)))
    (equal (matchresult->str match)
           (lstrfix x))))

Theorem: match-regex-fn-of-regex-fix-regex

(defthm match-regex-fn-of-regex-fix-regex
  (equal (match-regex-fn (regex-fix regex)
                         x case-insens)
         (match-regex-fn regex x case-insens)))

Theorem: match-regex-fn-regex-equiv-congruence-on-regex

(defthm match-regex-fn-regex-equiv-congruence-on-regex
  (implies (regex-equiv regex regex-equiv)
           (equal (match-regex-fn regex x case-insens)
                  (match-regex-fn regex-equiv x case-insens)))
  :rule-classes :congruence)

Theorem: match-regex-fn-of-str-fix-x

(defthm match-regex-fn-of-str-fix-x
  (equal (match-regex-fn regex (acl2::str-fix x)
                         case-insens)
         (match-regex-fn regex x case-insens)))

Theorem: match-regex-fn-streqv-congruence-on-x

(defthm match-regex-fn-streqv-congruence-on-x
  (implies (acl2::streqv x x-equiv)
           (equal (match-regex-fn regex x case-insens)
                  (match-regex-fn regex x-equiv case-insens)))
  :rule-classes :congruence)

Theorem: match-regex-fn-of-bool-fix-case-insens

(defthm match-regex-fn-of-bool-fix-case-insens
  (equal (match-regex-fn regex x (acl2::bool-fix case-insens))
         (match-regex-fn regex x case-insens)))

Theorem: match-regex-fn-iff-congruence-on-case-insens

(defthm match-regex-fn-iff-congruence-on-case-insens
  (implies (iff case-insens case-insens-equiv)
           (equal (match-regex-fn regex x case-insens)
                  (match-regex-fn regex x case-insens-equiv)))
  :rule-classes :congruence)