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;; Processing Unicode Files with ACL2
;; Copyright (C) 2005-2006 by Jared Davis <jared@cs.utexas.edu>
;;
;; This program is free software; you can redistribute it and/or modify it
;; under the terms of the GNU General Public License as published by the Free
;; Software Foundation; either version 2 of the License, or (at your option)
;; any later version.
;;
;; This program is distributed in the hope that it will be useful but WITHOUT
;; ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
;; FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
;; more details.
;;
;; You should have received a copy of the GNU General Public License along with
;; this program; if not, write to the Free Software Foundation, Inc., 59 Temple
;; Place - Suite 330, Boston, MA 02111-1307, USA.
(in-package "ACL2")
(include-book "read-byte")
(include-book "read-file-bytes")
(set-state-ok t)
(defund nthcdr-bytes (n channel state)
(declare (xargs :guard (and (natp n)
(state-p state)
(symbolp channel)
(open-input-channel-p channel :byte state))))
(if (zp n)
state
(mv-let (byte state)
(read-byte$ channel state)
(declare (ignore byte))
(nthcdr-bytes (+ n -1) channel state))))
(defthm state-p1-of-nthcdr-bytes
(implies (and (force (state-p1 state))
(force (symbolp channel))
(force (open-input-channel-p1 channel :byte state)))
(state-p1 (nthcdr-bytes n channel state)))
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm open-input-channel-p1-of-nthcdr-bytes
(implies (and (force (state-p1 state))
(force (symbolp channel))
(force (open-input-channel-p1 channel :byte state)))
(open-input-channel-p1 channel :byte (nthcdr-bytes n channel state)))
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm read-byte$-all-of-nthcdr-bytes
(implies (and (force (state-p1 state))
(force (symbolp channel))
(force (open-input-channel-p1 channel :byte state)))
(equal (car (read-byte$-all channel (nthcdr-bytes n channel state)))
(nthcdr n (car (read-byte$-all channel state)))))
:hints(("Goal"
:in-theory (enable nthcdr-bytes nthcdr read-byte$-all)
:induct (nthcdr-bytes n channel state))))
(defthm nthcdr-bytes-1
(equal (nthcdr-bytes 1 channel state)
(mv-nth 1 (read-byte$ channel state)))
:hints(("Goal"
:in-theory (enable nthcdr-bytes)
:expand ((nthcdr-bytes 1 channel state)))))
(defthm nthcdr-bytes-2
(equal (nthcdr-bytes 2 channel state)
(mv-nth 1 (read-byte$ channel
(mv-nth 1 (read-byte$ channel state)))))
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm nthcdr-bytes-3
(equal (nthcdr-bytes 3 channel state)
(mv-nth 1 (read-byte$
channel
(mv-nth 1 (read-byte$
channel
(mv-nth 1 (read-byte$ channel state)))))))
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm nthcdr-bytes-4
(equal (nthcdr-bytes 4 channel state)
(mv-nth 1 (read-byte$
channel
(mv-nth 1 (read-byte$
channel
(mv-nth 1 (read-byte$
channel
(mv-nth 1 (read-byte$ channel state)))))))))
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm nthcdr-bytes-measure-weak
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(force (symbolp channel)))
(<= (file-measure channel (nthcdr-bytes n channel state))
(file-measure channel state)))
:rule-classes (:rewrite :linear)
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
(defthm nthcdr-bytes-measure-strong
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(force (symbolp channel))
(car (read-byte$ channel state))
(not (zp n)))
(< (file-measure channel (nthcdr-bytes n channel state))
(file-measure channel state)))
:rule-classes (:rewrite :linear)
:hints(("Goal" :in-theory (enable nthcdr-bytes))))
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