Artículo
The Smallest Grammar Problem as Constituents Choice and Minimal Grammar Parsing
Fecha de publicación:
10/2011
Editorial:
MDPI
Revista:
Algorithms
ISSN:
1999-4893
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The smallest grammar problem—namely, finding a smallest context-free grammar that generates exactly one sequence—is of practical and theoretical importance in fields such as Kolmogorov complexity, data compression and pattern discovery. We propose a new perspective on this problem by splitting it into two tasks: (1) choosing which words will be the constituents of the grammar and (2) searching for the smallest grammar given this set of constituents. We show how to solve the second task in polynomial time parsing longer constituent with smaller ones. We propose new algorithms based on classical practical algorithms that use this optimization to find small grammars. Our algorithms consistently find smaller grammars on a classical benchmark reducing the size in 10% in some cases. Moreover, our formulation allows us to define interesting bounds on the number of small grammars and to empirically compare different grammars of small size.
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Carrascosa, Rafael; Coste, François; Galle, Matthias; Infante Lopez, Gabriel Gaston; The Smallest Grammar Problem as Constituents Choice and Minimal Grammar Parsing; MDPI; Algorithms; 4; 4; 10-2011; 262-284
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