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




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1 SIGNES - Linguistic signs, grammar and meaning: computational logic for natural language Université Michel de Montaigne - Bordeaux 3, 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 2 LaBRI - Laboratoire Bordelais de Recherche en Informatique

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.

Mots-clés : Formal grammars Lambda calculus Resource logics





Author: Christian Retoré - Sylvain Salvati -

Source: https://hal.archives-ouvertes.fr/



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