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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.
; subseq.lisp
;
; Original author: Jared Davis <jared@centtech.com>
(in-package "STR")
(local (include-book "arithmetic"))
(local (include-book "std/lists/take" :dir :system))
(local (include-book "std/lists/nthcdr" :dir :system))
(local (include-book "coerce"))
;; NOTE: These get globally disabled by including this book! This is probably
;; how things ought to be.
(in-theory (disable subseq subseq-list))
(local (in-theory (enable subseq subseq-list)))
(defthm len-of-subseq-list
(equal (len (subseq-list x start end))
(nfix (- end start))))
(defthm true-listp-subseq-list
(true-listp (subseq-list x start end))
:rule-classes :type-prescription)
(defthm stringp-of-subseq
(equal (stringp (subseq x start end))
(stringp x)))
(defthm length-of-subseq
(equal (length (subseq x start end))
(nfix (- (or end (length x)) start))))
(defthm len-of-subseq
(equal (len (subseq x start end))
(if (stringp x)
0
(nfix (- (or end (len x)) start)))))
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