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• Acre-internals

Match-charset

Signature

(match-charset set set-index char mode) → *

Arguments

set — Guard (stringp set).

set-index — Guard (natp set-index).

char — Guard (characterp char).

mode — Guard (matchmode-p mode).

Definitions and Theorems

Function: match-charset

(defun match-charset (set set-index char mode)
 (declare (xargs :guard (and (stringp set)
                             (natp set-index)
                             (characterp char)
                             (matchmode-p mode))))
 (declare (xargs :guard (<= set-index (strlen set))))
 (let ((__function__ 'match-charset))
   (declare (ignorable __function__))
   (b*
    ((set (lstrfix set))
     (set-index (lnfix set-index))
     ((matchmode mode))
     (char (mbe :logic (acl2::char-fix char)
                :exec char))
     ((when (mbe :logic (zp (- (strlen set) set-index))
                 :exec (eql set-index (strlen set))))
      nil)
     ((when (if mode.case-insens (str::ichareqv (char set set-index)
                                                char)
              (eql (char set set-index) char)))
      t))
    (match-charset set (1+ set-index)
                   char mode))))

Theorem: match-charset-of-str-fix-set

(defthm match-charset-of-str-fix-set
  (equal (match-charset (acl2::str-fix set)
                        set-index char mode)
         (match-charset set set-index char mode)))

Theorem: match-charset-streqv-congruence-on-set

(defthm match-charset-streqv-congruence-on-set
  (implies (acl2::streqv set set-equiv)
           (equal (match-charset set set-index char mode)
                  (match-charset set-equiv set-index char mode)))
  :rule-classes :congruence)

Theorem: match-charset-of-nfix-set-index

(defthm match-charset-of-nfix-set-index
  (equal (match-charset set (nfix set-index)
                        char mode)
         (match-charset set set-index char mode)))

Theorem: match-charset-nat-equiv-congruence-on-set-index

(defthm match-charset-nat-equiv-congruence-on-set-index
  (implies (acl2::nat-equiv set-index set-index-equiv)
           (equal (match-charset set set-index char mode)
                  (match-charset set set-index-equiv char mode)))
  :rule-classes :congruence)

Theorem: match-charset-of-char-fix-char

(defthm match-charset-of-char-fix-char
  (equal (match-charset set set-index (acl2::char-fix char)
                        mode)
         (match-charset set set-index char mode)))

Theorem: match-charset-chareqv-congruence-on-char

(defthm match-charset-chareqv-congruence-on-char
  (implies (acl2::chareqv char char-equiv)
           (equal (match-charset set set-index char mode)
                  (match-charset set set-index char-equiv mode)))
  :rule-classes :congruence)

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

(defthm match-charset-of-matchmode-fix-mode
  (equal (match-charset set set-index char (matchmode-fix mode))
         (match-charset set set-index char mode)))

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

(defthm match-charset-matchmode-equiv-congruence-on-mode
  (implies (matchmode-equiv mode mode-equiv)
           (equal (match-charset set set-index char mode)
                  (match-charset set set-index char mode-equiv)))
  :rule-classes :congruence)