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

Christian Retoré et Sylvain Salvati
Journal of logic, language, and information, Vol.19(2), pp.185-200
04/2010

Résumé

Computation and Language Computer Science Logic in Computer Science
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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