Paper Abstract and Keywords |
Presentation |
2009-12-17 16:20
On Decidability of Context-Sensitive Termination for Right-Linear Right-Shallow Term Rewriting Systems Yoshimasa Mishuku, Masahiko Sakai, Toshiki Sakabe, Keiichirou Kusakari, Naoki Nishida (Nagoya Univ.) SS2009-40 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
It is known that termination and innermost termination are decidable for term rewriting systems (TRSs for short) whose dependency pairs are all right-linear and right-shallow (Uchiyama et al, 2008). However, decidability of context-sensitive termination requires left-shallow restriction to those TRSs. The difficulty of context-sensitive termination analysis is caused by existence of non-terminating terms in dependency chains. In this paper, we first show a left-non-shallow TRS as a counterexample against the decision procedure. Then, we give a sufficient condition to make the procedure work properly, and show that context-sensitive termination is decidable for the class. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
context-sensitive termination / decidability / right-shallow / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 343, SS2009-40, pp. 31-36, Dec. 2009. |
Paper # |
SS2009-40 |
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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SS2009-40 |
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) |
On Decidability of Context-Sensitive Termination for Right-Linear Right-Shallow Term Rewriting Systems |
Sub Title (in English) |
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Keyword(1) |
context-sensitive termination |
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decidability |
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right-shallow |
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1st Author's Name |
Yoshimasa Mishuku |
1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
2nd Author's Name |
Masahiko Sakai |
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 |
Keiichirou Kusakari |
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 16:20:00 |
Presentation Time |
30 minutes |
Registration for |
SS |
Paper # |
SS2009-40 |
Volume (vol) |
vol.109 |
Number (no) |
no.343 |
Page |
pp.31-36 |
#Pages |
6 |
Date of Issue |
2009-12-10 (SS) |
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