Paper Abstract and Keywords |
Presentation |
2008-07-31 17:30
A Reduction Order for Orienting Equations in Theorem Proving of Constrained TRSs Naoki Nishida, Tsubasa Sakata, Masahiko Sakai, Keiichirou Kusakari, Toshiki Sakabe (Nagoya Univ.) SS2008-20 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In automated theorem proving, we often face cases where the procedure
keeps running. To avoid such cases, the theorem proving methods based
on implicit and rewriting inductions have been proposed for constrained
rewriting systems. On the other hand, in terminating term rewriting,
there are some cases where computation is reducing while the size of
reducible terms is increasing. In (automated) theorem proving for
rewriting systems with such cases, it is very difficult
(or near-impossible) to orient equations by path-based reduction orders
in order to add the equations into the rewriting systems, preserving
termination of the rewriting systems. In this paper, introducing the
argument filtering technique, we show a condition of reduction orders
that can be used in orienting equations with preserving termination of
constrained systems. We also show that reduction orders satisfying the
condition are effective for orientation phases in theorem proving methods
based on implicit induction or rewriting induction for constrained term
rewriting systems. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
termination / reduction pair / argument filtering / implicit induction / rewriting induction / / / |
Reference Info. |
IEICE Tech. Rep., vol. 108, no. 173, SS2008-20, pp. 43-48, July 2008. |
Paper # |
SS2008-20 |
Date of Issue |
2008-07-24 (SS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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SS2008-20 |
Conference Information |
Committee |
SS |
Conference Date |
2008-07-31 - 2008-08-01 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Future University-Hakodate |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
general |
Paper Information |
Registration To |
SS |
Conference Code |
2008-07-SS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Reduction Order for Orienting Equations in Theorem Proving of Constrained TRSs |
Sub Title (in English) |
|
Keyword(1) |
termination |
Keyword(2) |
reduction pair |
Keyword(3) |
argument filtering |
Keyword(4) |
implicit induction |
Keyword(5) |
rewriting induction |
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1st Author's Name |
Naoki Nishida |
1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
2nd Author's Name |
Tsubasa Sakata |
2nd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
3rd Author's Name |
Masahiko Sakai |
3rd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
4th Author's Name |
Keiichirou Kusakari |
4th Author's Affiliation |
Nagoya University (Nagoya Univ.) |
5th Author's Name |
Toshiki Sakabe |
5th Author's Affiliation |
Nagoya University (Nagoya Univ.) |
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Speaker |
Author-1 |
Date Time |
2008-07-31 17:30:00 |
Presentation Time |
30 minutes |
Registration for |
SS |
Paper # |
SS2008-20 |
Volume (vol) |
vol.108 |
Number (no) |
no.173 |
Page |
pp.43-48 |
#Pages |
6 |
Date of Issue |
2008-07-24 (SS) |
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