A Faithful Representation of Non-Associative Lambek Grammars in Abstract Categorial Grammars

Christian Retoré 1, 2 Sylvain Salvati 1, 2
1 SIGNES - Linguistic signs, grammar and meaning: computational logic for natural language
Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : This paper solves a natural but still open question: can Abstract Categorial Grammars (ACGs) respresent usual categorial grammars? Despite their name and their claim to be a unifying framework, up to now there was no faithful representation of usual categorial grammars in ACGs. This paper shows that Non-Associative Lambek grammars as well as their derivations can be defined using ACGs of order two. To conclude, the outcomes of such a representation are discussed.
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Christian Retoré, Sylvain Salvati. A Faithful Representation of Non-Associative Lambek Grammars in Abstract Categorial Grammars. Journal of Logic, Language and Information, Springer Verlag, 2010, 19 (2), pp.185--200. ⟨inria-00409557⟩

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