Weighted Multiple Context-Free Grammars

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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Veröffentlicht in:IEICE Transactions on Information and Systems 2023/03/01, Vol.E106.D(3), pp.309-318
Hauptverfasser: INOUE, Yusuke, HASHIMOTO, Kenji, SEKI, Hiroyuki
Format: Artikel
Sprache:eng
Schlagworte:
closure property
Context
expressive power
formal power series
Grammars
Polynomials
weight
weighted multiple context-free grammar
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Zusammenfassung: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