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| Presentation | 2019-01-16 09:50 Extending Narrowing Trees to Basic Narrowing in Term Rewriting Yuya Maeda, Naoki Nishida, Masahiko Sakai, Tomoya Kobayashi (Nagoya Univ.)  MSS2018-68 SS2018-39 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Narrowing computation of a term rewriting system is an extension of rewriting by replacing matching with unification, which computes a most general unifier to apply a rewrite rule, resulting in a term obtained by applying the rewrite rule. A method to, given a system and an initial goal, generate a finite tree, so-called a narrowing tree, that represents all possible substitutions derived by innermost narrowing has been proposed. A narrowing tree that has been extended to syntactically deterministic conditional term rewriting systems (SDCTRSs) in our previous work can be represented as a regular tree grammar that generates all possible constructor substitutions obtained from innermost narrowing derivations from a given initial term to a ground term corresponding to an expected goal. Unfortunately innermost narrowing is a counterpart of constructor-based rewriting. In this article, we extend narrowing trees to basic narrowing. We show that every rewriting sequence of a terminating ultra-right-linear SDCTRS can be simulated by basic rewriting, and thus the extension enables us to apply the extended narrowing trees to analysis of such SDCTRSs. To be more precise, we show an application of extended narrowing trees to proving confluence of a right-linear normal CTRS. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | conditional term rewriting system / narrowing / regular tree grammar / confluence / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 385, SS2018-39, pp. 73-78, Jan. 2019. | |
| Paper # | SS2018-39 | |
| Date of Issue | 2019-01-08 (MSS, 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) | |
| Download PDF | MSS2018-68 SS2018-39 |
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| Conference Information | |
| Committee | MSS SS |
| Conference Date | 2019-01-15 - 2019-01-16 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | SS |
| Conference Code | 2019-01-MSS-SS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Extending Narrowing Trees to Basic Narrowing in Term Rewriting |
| Sub Title (in English) | |
| Keyword(1) | conditional term rewriting system |
| Keyword(2) | narrowing |
| Keyword(3) | regular tree grammar |
| Keyword(4) | confluence |
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| 1st Author's Name | Yuya Maeda |
| 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 | Masahiko Sakai |
| 3rd Author's Affiliation | Nagoya University (Nagoya Univ.) |
| 4th Author's Name | Tomoya Kobayashi |
| 4th Author's Affiliation | Nagoya University (Nagoya Univ.) |
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| Speaker | Author-1 |
| Date Time | 2019-01-16 09:50:00 |
| Presentation Time | 25 minutes |
| Registration for | SS |
| Paper # | MSS2018-68, SS2018-39 |
| Volume (vol) | vol.118 |
| Number (no) | no.384(MSS), no.385(SS) |
| Page | pp.73-78 |
| #Pages | 6 |
| Date of Issue | 2019-01-08 (MSS, SS) |
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