Computational complexity of probabilistic disambiguation by means of tree-grammars

  • Authors:
  • Khalil Sima'an

  • Affiliations:
  • Utrecht University, Utrecht, The Netherlands

  • Venue:
  • COLING '96 Proceedings of the 16th conference on Computational linguistics - Volume 2
  • Year:
  • 1996

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Abstract

This paper studies the computational complexity of disambiguation under probabilistic tree-grammars as in (Bod, 1992; Schabes and Waters, 1993). It presents a proof that the following problems are NP-hard: computing the Most Probable Parse from a sentence or from a word-graph, and computing the Most Probable Sentence (MPS) from a word-graph. The NP-hardness of computing the MPS from a word-graph also holds for Stochastic Context-Free Grammars (SCFGs).