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Paper Abstract and Keywords
Presentation 2009-12-17 15:50
Argument Filtering and Usable Rules in Higher-Order Rewrite Systems
Sho Suzuki, Keiichirou Kusakari, Toshiki Sakabe, Masahiko Sakai, Naoki Nishida (Nagoya Univ.) SS2009-39
Abstract (in Japanese) (See Japanese page) 
(in English) Simply-typed term rewriting systems (STRSs) and higher-order rewrite systems (HRSs)
have been proposed to extend term rewriting systems (TRSs).
These systems can handle higher-order functions directly, and moreover HRSs are allowed to have a $\lambda$-abstraction syntax.
Static dependency pair methods are very powerful methods for proving termination of these higher-order systems.
Notions of argument filtering and usable rules play important roles in proving termination by the static dependency pair method.
These notions are proposed on TRSs, and extended to STRSs.
However, we have not known these notions on HRSs.
In this paper, we extend notions of argument filtering and usable rules onto HRSs.
In addition, these extensions include some enhancements:
removing an applicable condition demanded by existing argument fitering methods on STRSs, and
removing a dependency through higher-order variables from the definition of usable rule.
Keyword (in Japanese) (See Japanese page) 
(in English) higher-order rewrite system / termination / static dependency pair method / argument filtering / usable rule / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 343, SS2009-39, pp. 25-30, Dec. 2009.
Paper # SS2009-39 
Date of Issue 2009-12-10 (SS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 2009-12-17 - 2009-12-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kagawa Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To SS 
Conference Code 2009-12-SS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Argument Filtering and Usable Rules in Higher-Order Rewrite Systems 
Sub Title (in English)  
Keyword(1) higher-order rewrite system  
Keyword(2) termination  
Keyword(3) static dependency pair method  
Keyword(4) argument filtering  
Keyword(5) usable rule  
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1st Author's Name Sho Suzuki  
1st Author's Affiliation Nagoya University (Nagoya Univ.)
2nd Author's Name Keiichirou Kusakari  
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 Naoki Nishida  
5th Author's Affiliation Nagoya University (Nagoya Univ.)
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Speaker Author-1 
Date Time 2009-12-17 15:50:00 
Presentation Time 30 minutes 
Registration for SS 
Paper # SS2009-39 
Volume (vol) vol.109 
Number (no) no.343 
Page pp.25-30 
#Pages
Date of Issue 2009-12-10 (SS) 


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