1. Distributional learning of conjunctive grammars and contextual binary feature grammars
- Author
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Ryo Yoshinaka
- Subjects
Theoretical computer science ,Computer Networks and Communications ,Context-sensitive grammar ,0102 computer and information sciences ,02 engineering and technology ,computer.software_genre ,01 natural sciences ,Theoretical Computer Science ,0202 electrical engineering, electronic engineering, information engineering ,Indexed grammar ,Phrase structure grammar ,Mathematics ,business.industry ,Applied Mathematics ,Context-free grammar ,Tree-adjoining grammar ,Computational Theory and Mathematics ,010201 computation theory & mathematics ,Stochastic context-free grammar ,020201 artificial intelligence & image processing ,Artificial intelligence ,Definite clause grammar ,L-attributed grammar ,business ,computer ,Natural language processing - Abstract
Approaches based on the idea generically called distributional learning have been making great success in the algorithmic learning of several rich subclasses of context-free languages and their extensions. Those language classes are defined by properties concerning string-context relation. In this paper, we present a distributional learning algorithm for conjunctive grammars with the k-finite context property (k- fcp ) for each natural number k. We also compare our result with the closely related work by Clark et al. (JMLR 2010) [5] on learning some context-free grammars using contextual binary feature grammars ( cbfg s). We prove that the context-free grammars targeted by their algorithm have the k- fcp . Moreover, we show that every exact cbfg has the k- fcp , too, while not all of them are learnable by their algorithm. Clark et al. conjectured a learning algorithm for exact cbfg s should exist. This paper answers their conjecture in a positive way.
- Published
- 2019
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