Lambek Grammars Based on Pregroups

  • Authors:
  • Wojciech Buszkowski

  • Affiliations:
  • -

  • Venue:
  • LACL '01 Proceedings of the 4th International Conference on Logical Aspects of Computational Linguistics
  • Year:
  • 2001

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Abstract

Lambek [14] introduces pregroups as a new framework for syntactic structure. In this paper we prove some new theorems on pre-groups and study grammars based on the calculus of free pregroups. We prove that these grammars are equivalent to context-free grammars. We also discuss the relation of pregroups to the Lambek calculus.