1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173
|
;; 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")
(local (include-book "update-state"))
(local (include-book "open-input-channels"))
(local (include-book "unsigned-byte-listp"))
(local (include-book "signed-byte-listp"))
(local (defthm assoc-eq-is-assoc-equal
(equal (assoc-eq a x)
(assoc-equal a x))))
(local (defthm car-of-assoc-equal-when-assoc-equal
(implies (assoc-equal a x)
(equal (car (assoc-equal a x))
a))))
(defthm state-p1-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(force (symbolp channel)))
(state-p1 (mv-nth 1 (read-byte$ channel state))))
:hints(("Goal" :in-theory (disable statep-functions)
:use ((:instance state-p1
(x state))
(:instance state-p1
(x (mv-nth 1 (read-byte$ channel state))))))))
(defthm open-input-channel-p1-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(force (symbolp channel)))
(open-input-channel-p1 channel
:byte
(mv-nth 1 (read-byte$ channel state))))
:hints(("Goal" :in-theory (disable statep-functions)
:use ((:instance state-p1
(x state))
(:instance state-p1
(x (mv-nth 1 (read-byte$ channel state))))))))
(local (defthmd car-typed-io-list-byte
(implies (and (typed-io-listp x :byte)
(consp x))
(and (integerp (car x))
(<= 0 (car x))
(< (car x) 256)))))
(defthm integerp-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(car (read-byte$ channel state)))
(integerp (car (read-byte$ channel state))))
:hints(("Goal" :in-theory (disable open-input-channel-p1
open-input-channels)
:use (:instance car-typed-io-list-byte
(x (cddr (assoc-equal
channel
(open-input-channels state))))))))
(defthm range-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(car (read-byte$ channel state)))
(and (<= 0 (car (read-byte$ channel state)))
(< (car (read-byte$ channel state)) 256)
(< (car (read-byte$ channel state)) (expt 2 8))))
:rule-classes :linear
:hints(("Goal" :in-theory (disable open-input-channel-p1
open-input-channels)
:use (:instance car-typed-io-list-byte
(x (cddr (assoc-equal
channel
(open-input-channels state))))))))
(defthm unsigned-byte-p-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(car (read-byte$ channel state))
(<= 8 size)
(integerp size))
(unsigned-byte-p size (car (read-byte$ channel state))))
:hints(("Goal"
:in-theory (e/d (unsigned-byte-p) (read-byte$))
:use (:instance unsigned-byte-promote
(size1 8)
(size2 size)
(x (car (read-byte$ channel state)))))))
(defthm signed-byte-p-of-read-byte$
(implies (and (force (state-p1 state))
(force (open-input-channel-p1 channel :byte state))
(car (read-byte$ channel state))
(<= 9 size)
(integerp size))
(signed-byte-p size (car (read-byte$ channel state))))
:hints(("Goal"
:in-theory (disable read-byte$)
:use (:instance unsigned-to-signed-promote
(size1 8)
(size2 size)
(x (car (read-byte$ channel state)))))))
(encapsulate
()
(local (defthm lemma
(implies (and (typed-io-listp x :byte)
(not (car x)))
(not (cadr x)))))
(defthm car-of-read-byte$-after-eof
(implies (and (force (state-p state))
(force (symbolp channel))
(force (open-input-channel-p channel :byte state))
(not (car (read-byte$ channel state))))
(not (car (read-byte$ channel (mv-nth 1 (read-byte$ channel state))))))
:hints(("Goal" :in-theory (e/d (read-byte$)
(statep-functions))))))
(encapsulate
()
(local (defthm lemma
(equal (equal a (cons x y))
(and (consp a)
(equal (car a) x)
(equal (cdr a) y)))))
(local (defthm lemma2
(implies (and (open-channel1 foo)
(equal (cadar foo) :byte)
(not (cadr foo)))
(equal (equal (cdr foo) (cddr foo))
t))))
(defthm mv-nth-of-read-byte$-when-eof
(implies (and (state-p state)
(symbolp channel)
(open-input-channel-p channel :byte state)
(not (car (read-byte$ channel state))))
(equal (mv-nth 1 (read-byte$ channel state))
state))
:hints(("Goal" :in-theory (e/d (read-byte$)
(statep-functions
open-channel1
open-channels-assoc))
:use ((:instance open-channels-assoc
(x (open-input-channels state))))))))
(in-theory (disable state-p1 open-input-channel-p1 read-byte$))
|