Parsing as natural deduction

  • Authors:
  • Esther König

  • Affiliations:
  • Universität Stuttgart, Institut für Maschinelle Sprachverarbeitung, Stuttgart, FRG

  • Venue:
  • ACL '89 Proceedings of the 27th annual meeting on Association for Computational Linguistics
  • Year:
  • 1989

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Abstract

The logic behind parsers for categorial grammars can be formalized in several different ways. Lambek Calculus (LC) constitutes an example for a natural deduction1 style parsing method.In natural language processing, the task of a parser usually consists in finding derivations for all different readings of a sentence. The original Lambek Calculus, when it is used as a parser/theorem prover, has the undesirable property of allowing for the derivation of more than one proof for a reading of a sentence, in the general case.In order to overcome this inconvenience and to turn Lambek Calculus into a reasonable parsing method, we show the existence of "relative" normal form proof trees and make use of their properties to constrain the proof procedure in the desired way.