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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
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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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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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Keyword(8)  
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
Date of Issue 2008-07-24 (SS) 


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