• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Acre
      • Acre-internals
        • Regex
        • Match-string-at
        • Matchstatelist-measure
        • Parse-primitive
        • Matches-remove-zero-length
        • Parse-repeatop
        • Parse-repeatbase
        • Matchstatelist-in-bounds
        • Parse-range
        • Parse-charset-set
        • Parse-charset-atom
        • Match-regex-locs
        • Parse-octal-charcode
        • Parse-k-backref
        • Parse-g-backref
        • Matchstatelist-all-have-backref
        • Parse-repeatmod
        • Parse-charset-elem
        • Parse-charset-aux
        • Parse-hex-charcode
        • Parse-charset
        • Matchstatelist-indices-lte
        • Matchstatelist-indices-gte
        • Match-exact
        • Matches-add-backref
        • Matchresult
        • Preproc-legible-aux
        • Maybe-backref
        • Match-charset
        • Undup-equiv
        • Find-substr
        • Maybe-backref-extract-substr
        • Matchstatelist-min-index
        • Matchstate-in-bounds
        • Match-add-backref
        • Undup
        • Backref-alist-in-bounds
        • Backref
        • Matchstate
        • Matchresult->matched-substr
        • Matchresult->captured-substr!
        • Matchresult->captured-substr
        • Maybe-backref-in-bounds
        • Matchmode
        • Backref-extract-substr
        • Charset-range
        • Matchstate-measure
        • Backref-in-bounds
        • Rev-keys
        • Parse-regex
        • Undup-exec
        • Get-charset
        • Regex-concat2
        • Preproc-legible
        • Matchresult-in-bounds
        • Regex-disjunct2
        • Backref-alist
        • Named-captures-bindings
        • Captures-bindings
        • Matchstatelist
        • Charset-char-regex
        • Repeatmod-p
      • Parse-and-match-regex
      • Match-regex
      • Parse
      • Matchresult->matchedp
      • Match
    • Milawa
    • Smtlink
    • Aleobft
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • Proof-checker-array
    • Soft
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Leftist-trees
    • C
    • Java
    • Taspi
    • Bitcoin
    • Des
    • Ethereum
    • X86isa
    • Sha-2
    • Yul
    • Riscv
    • Zcash
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Poseidon
    • Where-do-i-place-my-book
    • Bigmems
    • Builtins
    • Axe
    • Execloader
    • Solidity
    • Leo
    • Paco
    • Concurrent-programs
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Acre-internals

Match-regex-locs

Signature

(match-regex-locs pat x index mode) → match

Arguments

pat — Guard (regex-p pat).

x — Guard (stringp x).

index — Guard (natp index).

mode — Guard (matchmode-p mode).

Returns

match — Type (matchresult-p match).

Definitions and Theorems

Function: match-regex-locs

(defun match-regex-locs (pat x index mode)
 (declare (xargs :guard (and (regex-p pat)
                             (stringp x)
                             (natp index)
                             (matchmode-p mode))))
 (declare (xargs :guard (<= index (strlen x))))
 (let ((__function__ 'match-regex-locs))
   (declare (ignorable __function__))
   (b*
    ((matches1 (match-regex-rec pat x (make-matchstate :index index)
                                mode))
     ((when matches1)
      (b* (((matchstate m1) (car matches1)))
        (make-matchresult :loc (lnfix index)
                          :len (- m1.index (lnfix index))
                          :str x
                          :backrefs m1.backrefs)))
     ((when (mbe :logic (zp (- (strlen x) (nfix index)))
                 :exec (eql (strlen x) (lnfix index))))
      (make-matchresult :loc nil
                        :len 0
                        :str x
                        :backrefs nil)))
    (match-regex-locs pat x (+ 1 (lnfix index))
                      mode))))

Theorem: matchresult-p-of-match-regex-locs

(defthm matchresult-p-of-match-regex-locs
  (b* ((match (match-regex-locs pat x index mode)))
    (matchresult-p match))
  :rule-classes :rewrite)

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

(defthm matchresult-in-bounds-of-match-regex-locs
  (b* ((?match (match-regex-locs pat x index mode)))
    (implies (<= (nfix index) (strlen x))
             (matchresult-in-bounds match))))

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

(defthm matchresult->str-of-match-regex-locs
  (b* ((?match (match-regex-locs pat x index mode)))
    (equal (matchresult->str match)
           (lstrfix x))))

Theorem: match-regex-locs-of-regex-fix-pat

(defthm match-regex-locs-of-regex-fix-pat
  (equal (match-regex-locs (regex-fix pat)
                           x index mode)
         (match-regex-locs pat x index mode)))

Theorem: match-regex-locs-regex-equiv-congruence-on-pat

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

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

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

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

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

Theorem: match-regex-locs-of-nfix-index

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

Theorem: match-regex-locs-nat-equiv-congruence-on-index

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

Theorem: match-regex-locs-of-matchmode-fix-mode

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

Theorem: match-regex-locs-matchmode-equiv-congruence-on-mode

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