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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")
(local (include-book "update-state"))
(local (include-book "open-input-channels"))
(local (defthm assoc-eq-is-assoc-equal
(equal (assoc-eq a x)
(assoc-equal a x))))
(local (defthm readable-files-ok
(implies (state-p1 state)
(readable-files-listp (readable-files state)))))
(local (defthm readable-files-list-contents-have-correct-type
(implies (readable-files-listp table)
(typed-io-listp (cdr (assoc-equal entry table))
(cadr entry)))))
(local (defthm open-input-channel-lemma
(implies (and (symbolp channel)
(stringp file-name)
(member-eq type *file-types*)
(integerp clock)
(state-p1 state)
(readable-files-listp table)
(assoc-equal (list file-name type clock) table)
(open-channels-p channels))
(open-channels-p
(add-pair channel
(cons (list :header type file-name clock)
(cdr (assoc-equal (list file-name type clock)
table)))
channels)))))
(encapsulate
nil
;; We show that the channel returned by open-input-channel is a symbol and
;; that it is not either of ACL2-INPUT-CHANNEL::standard-character-input-0
;; or ACL2-INPUT-CHANNEL::standard-object-input-0. These facts are needed
;; to verify the guards on close-input-channel after opening a channel.
(local (include-book "arithmetic-3/bind-free/top" :dir :system))
(local (include-book "explode-nonnegative-integer"))
(local (include-book "intern-in-package-of-symbol"))
(local (include-book "coerce"))
(local (defthm lemma-0
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(not (base10-digit-charp x)))
(equal (equal (cons x y1)
(cons x y2))
(equal y1 y2)))))
(local (defthm lemma-1
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(not (base10-digit-charp x)))
(not (equal (cons a (cons x y1))
(cons x y2))))))
(local (defthm lemma-2
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(not (base10-digit-charp x))
(equal (append a (cons x y1))
(cons x y2)))
(not (consp a)))
:hints(("Goal" :induct (append a (cons x y1))))))
(local (defthm lemma-3
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(not (base10-digit-charp x)))
(equal (equal (append a (cons x y1))
(cons x y2))
(and (not (consp a))
(equal y1 y2))))
:hints(("Goal"
:in-theory (disable lemma-2)
:use (:instance lemma-2 (a a) (x x) (y1 y1) (y2 y2))))))
(local (defun cdr-cdr-induction (a1 a2)
(if (and (consp a1)
(consp a2))
(cdr-cdr-induction (cdr a1) (cdr a2))
(list a1 a2))))
(local (defthm lemma-4
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(not (base10-digit-charp x))
(true-listp a1)
(true-listp a2))
(equal (equal (append a1 (cons x y1))
(append a2 (cons x y2)))
(and (equal y1 y2)
(equal a1 a2))))
:hints(("Goal" :induct (cdr-cdr-induction a1 a2)))))
(local (defthm lemma-5
(implies (and (base10-digit-char-listp y1)
(base10-digit-char-listp y2)
(true-listp x1)
(true-listp x2))
(equal (equal (append x1 (cons #\- y1))
(append x2 (cons #\- y2)))
(and (equal x1 x2)
(equal y1 y2))))))
(local (defthm lemma-6
(implies (and (true-listp x)
(natp clock))
(equal (equal (append x (cons #\- (explode-atom clock 10)))
(append x (cons #\- (explode-atom 0 10))))
(equal clock 0)))))
(local (defthm main-lemma
(implies (and (natp clock)
(character-listp x))
(equal (equal (make-input-channel filename clock)
(intern-in-package-of-symbol
(coerce (append x (cons #\- (explode-atom 0 10)))
'string)
'ACL2-INPUT-CHANNEL::A-RANDOM-SYMBOL-FOR-INTERN))
(and (equal (coerce filename 'list) x)
(equal clock 0))))
:hints(("Goal" :in-theory (disable (explode-atom))))))
(local (defthm coerce-reduction
(implies (and (syntaxp (quotep list))
(character-listp list)
(stringp x))
(equal (equal (coerce x 'list) list)
(equal x (coerce list 'string))))))
(local (defthm make-input-channel-standard-character-input-0
(implies (and (stringp filename)
(natp clock))
(equal (equal (make-input-channel filename clock)
'ACL2-INPUT-CHANNEL::STANDARD-CHARACTER-INPUT-0)
(and (equal filename "STANDARD-CHARACTER-INPUT")
(equal clock 0))))
:hints(("Goal"
:in-theory (disable main-lemma)
:use ((:instance main-lemma
(clock clock)
(filename filename)
(x (coerce "STANDARD-CHARACTER-INPUT" 'list))))))))
(local (defthm make-input-channel-standard-object-input-0
(implies (and (stringp filename)
(natp clock))
(equal (equal (make-input-channel filename clock)
'ACL2-INPUT-CHANNEL::STANDARD-OBJECT-INPUT-0)
(and (equal filename "STANDARD-OBJECT-INPUT")
(equal clock 0))))
:hints(("Goal"
:in-theory (disable main-lemma)
:use ((:instance main-lemma
(clock clock)
(filename filename)
(x (coerce "STANDARD-OBJECT-INPUT" 'list))))))))
(local (defthm open-input-channel-channel-elim
(implies (and (state-p1 state)
(car (open-input-channel filename type state)))
(equal (car (open-input-channel filename type state))
(make-input-channel filename (1+ (file-clock state)))))
:hints(("Goal" :in-theory (disable statep-functions
make-input-channel)))))
(defthm open-input-channel-symbol
(symbolp (car (open-input-channel filename type state)))
:rule-classes ((:rewrite) (:type-prescription)))
(defthm open-input-channel-not-standard-object-input
(implies (and (stringp filename)
(state-p1 state))
(not (equal (car (open-input-channel filename type state))
'ACL2-INPUT-CHANNEL::STANDARD-OBJECT-INPUT-0)))
:hints(("Goal" :in-theory (disable make-input-channel))))
(defthm open-input-channel-not-standard-character-input
(implies (and (stringp filename)
(state-p1 state))
(not (equal (car (open-input-channel filename type state))
'ACL2-INPUT-CHANNEL::STANDARD-CHARACTER-INPUT-0)))
:hints(("Goal" :in-theory (disable make-input-channel))))
)
(local (defthm expand-file-clock-p
(equal (file-clock-p x)
(natp x))))
(local (defthm file-clock-natural
(implies (state-p1 state)
(and (integerp (file-clock state))
(<= 0 (file-clock state))))
:rule-classes :type-prescription
:hints(("Goal" :expand (state-p1 state)))))
(defthm open-input-channel-state
(implies (and (force (state-p1 state))
(force (stringp filename))
(force (member-equal type *file-types*)))
(state-p1 (mv-nth 1 (open-input-channel filename type state))))
:hints(("Goal" :in-theory (disable statep-functions
make-input-channel))))
(defthm open-input-channel-creates-open-channel
(implies (and (force (state-p1 state))
(force (stringp filename))
(force (member-equal type *file-types*))
(car (open-input-channel filename type state)))
(open-input-channel-p1
(car (open-input-channel filename type state))
type
(mv-nth 1 (open-input-channel filename type state))))
:hints(("Goal" :in-theory (disable statep-functions
make-input-channel))))
(in-theory (disable state-p1 open-input-channel-p1 open-input-channel))
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