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

in Abstract Categorial Grammars Christian Retor´e, Sylvain Salvati This paper solves a natural but still open question: can Abstract Categorial Grammars (ACGs) have been defined by de Groote as a unifying way to represent formal grammars within simply lambda-caculus. Despite their name, up to now there was no faithful representation of usual categorial grammars in ACGs. This paper shows Non-Associative Lambek grammars as well as their derivations can be defined using ACGs of order two and discusses the outcomes of such a representation.

• Type: Journal
• Year: 2010
• Where: JOLLI
• Authors: Christian Retoré, Sylvain Salvati
• Keywords: Categorial Grammars, Grammars Christian Retor´e, JOLLI 2010, Usual Categorial Grammars