The computational complexity of sentence derivation in functional unification grammar

  • Authors:
  • Graeme Ritchie

  • Affiliations:
  • University of Edinburgh, Edinburgh

  • Venue:
  • COLING '86 Proceedings of the 11th coference on Computational linguistics
  • Year:
  • 1986

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Abstract

Functional unification (FU) grammar is a general linguistic formalism based on the merging of feature-sets. An informal outline is given of how the definition of derivation within FU grammar can be used to represent the satisfiability of an arbitrary logical formula in conjunctive normal form. This suggests that the generation of a structure from an arbitrary arbitrary FU grammar is NP-hard, which is an undesirably high level of computational complexity.