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 |
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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SS2009-39 |
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) |
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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 |
6 |
Date of Issue |
2009-12-10 (SS) |
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