Normal form theorem proving for the Lambek Calculus

  • Authors:
  • Mark Hepple

  • Affiliations:
  • University of Edinburgh, Edinburgh, Scotland

  • Venue:
  • COLING '90 Proceedings of the 13th conference on Computational linguistics - Volume 2
  • Year:
  • 1990

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Abstract

The possibility of multiple equivalent proofs presents a problem for efficient parsing of a number of flexible categorial grammar (CG) frameworks. In this paper I outline a normal form system for a sequent formulation of the product-free associative Lambek Calculus. This leads to a simple parsing approach that yields only normal form proofs. This approach is both safe in that all distinct readings for a sentence will be returned, and optimal in that there is only one normal form proof yielding each distinct meaning.