Category theoretical semantics for pregroup grammars

  • Authors:
  • Anne Preller

  • Affiliations:
  • LIRMM/CNRS, Montpellier, France

  • Venue:
  • LACL'05 Proceedings of the 5th international conference on Logical Aspects of Computational Linguistics
  • Year:
  • 2005
  • Type Grammar Revisited

    LACL '97 Selected papers from the Second International Conference on Logical Aspects of Computational Linguistics

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Abstract

We describe the derivations in a pregroup grammar as the 2-cells of a free compact 2-category defined by the grammar. The 2-cells of this category are the intermediary parsing structures necessary for a semantic interpretation when pregroups are used in natural language processing. The construction of the free compact 2-category also provides another cut-free axiomatisation of compact bilinear logic.