Paper Abstract and Keywords |
Presentation |
2019-10-24 14:55
Extending rewriting induction to existentially quantified equations Kazushi Nishie, Naoki Nishida, Masahiko sakai (Nagoya Univ.) SS2019-17 DC2019-45 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we extend rewriting induction which is developed to prove equations, to existentially quantified equations. More precisely, we first introduce existentially quantified terms into right-hand sides of rules in logically constrained term rewrite systems. Then, we formulate existentially quantified equations and extend rewriting induction for existentially quantified equations. Finally, we present an proof of inequalities by reducing them to existentially quantified equations and applying the extended rewriting induction. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
program varification / constrained rewriting / inductive theorem proving / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 119, no. 246, SS2019-17, pp. 25-30, Oct. 2019. |
Paper # |
SS2019-17 |
Date of Issue |
2019-10-17 (SS, DC) |
ISSN |
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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SS2019-17 DC2019-45 |
Conference Information |
Committee |
DC SS |
Conference Date |
2019-10-24 - 2019-10-25 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kumamoto Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Software Systems, etc. |
Paper Information |
Registration To |
SS |
Conference Code |
2019-10-DC-SS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Extending rewriting induction to existentially quantified equations |
Sub Title (in English) |
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program varification |
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constrained rewriting |
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inductive theorem proving |
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1st Author's Name |
Kazushi Nishie |
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 |
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Nagoya University (Nagoya Univ.) |
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Speaker |
Author-1 |
Date Time |
2019-10-24 14:55:00 |
Presentation Time |
25 minutes |
Registration for |
SS |
Paper # |
SS2019-17, DC2019-45 |
Volume (vol) |
vol.119 |
Number (no) |
no.246(SS), no.247(DC) |
Page |
pp.25-30 |
#Pages |
6 |
Date of Issue |
2019-10-17 (SS, DC) |
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