Categorial Grammar at a Cross-Roads 2003


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    • Author:  by Johan van Benthem  Categorial Grammar At A Cross-roads  

    • Abstract:  Categorial grammars are driven by substructural logics. These are fragments of modal logics for the structures the grammar deals with. We will discuss modal language as a means of access to families of relevant structures: formal languages, type hierarchies, relation algebras--arrow models, and vector spaces. This is the cross-roads of our title, where open directions abound.

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