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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 Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 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) 
Topics (in English)  
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)  
Keyword(1) weighted context-free grammar  
Keyword(2) ambiguity  
Keyword(3) pumping lemma  
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 
Date of Issue 2022-02-27 (COMP) 

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