Optimal head-driven parsing complexity for linear context-free rewriting systems

  • Authors:
  • Pierluigi Crescenzi;Daniel Gildea;Andrea Marino;Gianluca Rossi;Giorgio Satta

  • Affiliations:
  • Università di Firenze;University of Rochester;Università di Firenze;Università di Roma Tor Vergata;Università di Padova

  • Venue:
  • HLT '11 Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies - Volume 1
  • Year:
  • 2011

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Abstract

We study the problem of finding the best head-driven parsing strategy for Linear Context-Free Rewriting System productions. A head-driven strategy must begin with a specified righthand-side nonterminal (the head) and add the remaining nonterminals one at a time in any order. We show that it is NP-hard to find the best head-driven strategy in terms of either the time or space complexity of parsing.