Presentation 2021-03-03
Weighted Multiple Context-free Grammars and their Properties
Yusuke Inoue, Hiroyuki Seki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Multiple context-free grammar (MCFG) is an extension of context-free grammar that generates tuples of strings. MCFG has been applied to syntax analysis of natural language and RNA structure prediction. This paper gives a definition of weighted multiple context-free grammar (WMCFG) by introducing weights toMCFG. Then, we give polynomial-time algorithms for membership and emptiness problems, and also show the closure properties under operations such as sum, product, and so on. Furthermore, we define multiple algebraic power series, then we show that it is equivalent to formal power series defined by MCFG.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) weighted multiple context-free grammar / membership / emptiness / closure property / algebraic power series
Paper # SS2020-28
Date of Issue 2021-02-24 (SS)

Conference Information
Committee SS
Conference Date 2021/3/3(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Takashi Kobayashi(Tokyo Inst. of Tech.)
Vice Chair Kozo Okano(Shinshu Univ.)
Secretary Kozo Okano(Hiroshima City Univ.)
Assistant Shinpei Ogata(Shinshu Univ.)

Paper Information
Registration To Technical Committee on Software Science
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Weighted Multiple Context-free Grammars and their Properties
Sub Title (in English)
Keyword(1) weighted multiple context-free grammar
Keyword(2) membership
Keyword(3) emptiness
Keyword(4) closure property
Keyword(5) algebraic power series
1st Author's Name Yusuke Inoue
1st Author's Affiliation Nagoya University(Nagoya Univ.)
2nd Author's Name Hiroyuki Seki
2nd Author's Affiliation Nagoya University(Nagoya Univ.)
Date 2021-03-03
Paper # SS2020-28
Volume (vol) vol.120
Number (no) SS-407
Page pp.pp.1-6(SS),
#Pages 6
Date of Issue 2021-02-24 (SS)