File: substrp.lisp

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; ACL2 String Library
; Copyright (C) 2009-2013 Centaur Technology
;
; Contact:
;   Centaur Technology Formal Verification Group
;   7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
;   http://www.centtech.com/
;
; License: (An MIT/X11-style license)
;
;   Permission is hereby granted, free of charge, to any person obtaining a
;   copy of this software and associated documentation files (the "Software"),
;   to deal in the Software without restriction, including without limitation
;   the rights to use, copy, modify, merge, publish, distribute, sublicense,
;   and/or sell copies of the Software, and to permit persons to whom the
;   Software is furnished to do so, subject to the following conditions:
;
;   The above copyright notice and this permission notice shall be included in
;   all copies or substantial portions of the Software.
;
;   THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
;   IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
;   FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
;   AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
;   LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
;   FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
;   DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@centtech.com>

(in-package "STR")
(include-book "strpos")
(local (include-book "arithmetic"))


(defsection substrp
  :parents (substrings)
  :short "Case-sensitive test for the existence of a substring."
  :long "<p>@(call substrp) determines if x ever occurs as a substring of y.
The test is case-sensitive.</p>

<p>See also @(see isubstrp) for a case-insensitive version, and @(see strpos)
or @(see strrpos) for alternatives that say where a match occurs.</p>"

  (definline substrp (x y)
    (declare (type string x y))
    (mbe :logic (sublistp (explode x) (explode y))
         :exec (if (strpos x y)
                   t
                 nil)))

  (defcong streqv equal (substrp x y) 1)
  (defcong streqv equal (substrp x y) 2))