Weighted Multiple Context-Free Grammars

Multiple context-free grammar (MCFG) is an extension of context-free grammar (CFG), which generates tuples of words. The expressive power of MCFG is between CFG and context-sensitive grammar while MCFG inherits good properties of CFG. In this paper, we introduce weighted multiple context-free gramma...

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Bibliographic Details
Published inIEICE Transactions on Information and Systems Vol. E106.D; no. 3; pp. 309 - 318
Main Authors INOUE, Yusuke, HASHIMOTO, Kenji, SEKI, Hiroyuki
Format Journal Article
LanguageEnglish
Published Tokyo The Institute of Electronics, Information and Communication Engineers 01.03.2023
Japan Science and Technology Agency
Subjects
closure property
Context
expressive power
formal power series
Grammars
Polynomials
weight
weighted multiple context-free grammar
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Summary:Multiple context-free grammar (MCFG) is an extension of context-free grammar (CFG), which generates tuples of words. The expressive power of MCFG is between CFG and context-sensitive grammar while MCFG inherits good properties of CFG. In this paper, we introduce weighted multiple context-free grammar (WMCFG) as a quantitative extension of MCFG. Then we investigate properties of WMCFG such as polynomial-time computability of basic problems, its closure property and expressive power.
ISSN:0916-8532
1745-1361
DOI:10.1587/transinf.2022FCP0006