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Learning discrete categorial grammars from structures

Published online by Cambridge University Press:  18 January 2008

Jérôme Besombes and
Jean-Yves Marion
Jérôme Besombes
Affiliation:
ONERA/DTIM (Traitement de l'Information et Modélisation); jerome.besombes@onera.fr
Jean-Yves Marion
Affiliation:
Nancy-Université, Loria-INPL-ENSMN; Jean-Yves.Marion@loria.fr
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Abstract

We define the class of discrete classical categorial grammars, similar inthe spirit to the notion of reversible class of languages introduced by Angluin andSakakibara. We show that the class of discrete classical categorial grammars is identifiable from positive structured examples. For this, we provide an original algorithm, which runs in quadratic time in the size of the examples. This work extends the previous results of Kanazawa. Indeed, in our work, several types can be associated to a word and the class is still identifiable in polynomial time. We illustrate the relevance of the class of discrete classical categorial grammars with linguistic examples.

Keywords

Classical categorial grammargrammatical inferencegold'sidentification in the limittypespositive examples

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