Paper Abstract and Keywords |
Presentation |
2022-03-06 10:00
An Ambiguity Hierarchy of Weighted Context-free Grammars Yusuke Inoue, Kenji Hashimoto, Hiroyuki Seki (Nagoya Univ.) COMP2021-31 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Weighted context-free grammar (WCFG) is a quantitative extension of context-free grammar (CFG). It is known that unambiguous weighted automata (WA), finitely-ambiguous WA, polynomially-ambiguous WA and general WA over tropical semiring have different expressive powers.
We prove that there exist a similar ambiguity hierarchy of WCFG over tropical semiring, using an extended Ogden's lemma. Furthermore, we show that the hierarchy we proved is different from the known hierarchy of unweighted CFG. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
weighted context-free grammar / ambiguity / pumping lemma / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 121, no. 407, COMP2021-31, pp. 1-7, March 2022. |
Paper # |
COMP2021-31 |
Date of Issue |
2022-02-27 (COMP) |
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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COMP2021-31 |
Conference Information |
Committee |
COMP |
Conference Date |
2022-03-06 - 2022-03-06 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2022-03-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
An Ambiguity Hierarchy of Weighted Context-free Grammars |
Sub Title (in English) |
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weighted context-free grammar |
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ambiguity |
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pumping lemma |
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1st Author's Name |
Yusuke Inoue |
1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
2nd Author's Name |
Kenji Hashimoto |
2nd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
3rd Author's Name |
Hiroyuki Seki |
3rd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
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Speaker |
Author-1 |
Date Time |
2022-03-06 10:00:00 |
Presentation Time |
30 minutes |
Registration for |
COMP |
Paper # |
COMP2021-31 |
Volume (vol) |
vol.121 |
Number (no) |
no.407 |
Page |
pp.1-7 |
#Pages |
7 |
Date of Issue |
2022-02-27 (COMP) |
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