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Paper Abstract and Keywords
Presentation 2008-05-29 13:30
On Rewriting Induction for Presburger-Constrained Term Rewriting Systems
Tsubasa Sakata, Naoki Nishida, Toshiki Sakabe, Masahiko Sakai, Keiichirou Kusakari (Nagoya Univ.) SS2008-1 KBSE2008-1
Abstract (in Japanese) (See Japanese page) 
(in English) A method for verifying equivalence between procedural programs has been proposed, where the implicit induction is extended to deal with constrained term rewriting systems.
However, the rewriting induction, which is used for proving inductive theorems, has not been adapted to constrained systems yet.
In this paper, we extend the rewriting induction for constrained term rewriting systems, and propose a procedure based on the method for proving constrained inductive theorems.
In the case that constraints are Presburger formulas, we show an example of inductive theorems of which the proof by the procedure is simpler than by the method based on implicit induction.
Keyword (in Japanese) (See Japanese page) 
(in English) constrained TRS / rewriting induction / program verification / / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 64, SS2008-1, pp. 1-6, May 2008.
Paper # SS2008-1 
Date of Issue 2008-05-22 (SS, KBSE) 
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)
Download PDF SS2008-1 KBSE2008-1

Conference Information
Committee KBSE SS  
Conference Date 2008-05-29 - 2008-05-30 
Place (in Japanese) (See Japanese page) 
Place (in English) Miyazaki Citizens' Plaza 
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To SS 
Conference Code 2008-05-KBSE-SS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On Rewriting Induction for Presburger-Constrained Term Rewriting Systems 
Sub Title (in English)  
Keyword(1) constrained TRS  
Keyword(2) rewriting induction  
Keyword(3) program verification  
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1st Author's Name Tsubasa Sakata  
1st Author's Affiliation Nagoya University (Nagoya Univ.)
2nd Author's Name Naoki Nishida  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
3rd Author's Name Toshiki Sakabe  
3rd Author's Affiliation Nagoya University (Nagoya Univ.)
4th Author's Name Masahiko Sakai  
4th Author's Affiliation Nagoya University (Nagoya Univ.)
5th Author's Name Keiichirou Kusakari  
5th Author's Affiliation Nagoya University (Nagoya Univ.)
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Speaker Author-1 
Date Time 2008-05-29 13:30:00 
Presentation Time 30 minutes 
Registration for SS 
Paper # SS2008-1, KBSE2008-1 
Volume (vol) vol.108 
Number (no) no.64(SS), no.65(KBSE) 
Page pp.1-6 
#Pages
Date of Issue 2008-05-22 (SS, KBSE) 


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