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On a Construction of Context-free Grammars

On a Construction of Context-free Grammars The grammatical inference problem is solved for the class of context-free languages. A context-free language is supposed to be given by means of all its strings. Considering all strings of length bounded by k, context-free grammars Gj,k with 1 ≤ j < k are constructed. A continual increasing of the index k leads to an infinite sequence (Gj,k)j<k. It is proved that Gj,k are equivalent for all j ≤ jo, k ≥ ko with some positive integers jo, ko. Moreover, the equivalences among these grammars can be recognized on the basis of involved nonterminals and productions only. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fundamenta Informaticae IOS Press

On a Construction of Context-free Grammars

Fundamenta Informaticae , Volume 44 (3) – Jan 1, 2000

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Publisher
IOS Press
Copyright
Copyright © 2000 by IOS Press, Inc
ISSN
0169-2968
eISSN
1875-8681
Publisher site
See Article on Publisher Site

Abstract

The grammatical inference problem is solved for the class of context-free languages. A context-free language is supposed to be given by means of all its strings. Considering all strings of length bounded by k, context-free grammars Gj,k with 1 ≤ j < k are constructed. A continual increasing of the index k leads to an infinite sequence (Gj,k)j<k. It is proved that Gj,k are equivalent for all j ≤ jo, k ≥ ko with some positive integers jo, ko. Moreover, the equivalences among these grammars can be recognized on the basis of involved nonterminals and productions only.

Journal

Fundamenta InformaticaeIOS Press

Published: Jan 1, 2000

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