A polynomial time extension of parallel multiple context-free grammar

  • Authors:
  • Peter Ljunglöf

  • Affiliations:
  • Department of Computing Science, Göteborg University and Chalmers University of Technology, Göteborg, Sweden

  • Venue:
  • LACL'05 Proceedings of the 5th international conference on Logical Aspects of Computational Linguistics
  • Year:
  • 2005

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Abstract

It is already known that parallel multiple context-free grammar (PMCFG) [1] is an instance of the equivalent formalisms simple literal movement grammar (sLMG) [2, 3] and range concatenation grammar (RCG) [4, 5]. In this paper we show that by adding the single operation of intersection, borrowed from conjunctive grammar [6], PMCFG becomes equivalent to sLMG and RCG. As a corollary we get that PMCFG with intersection describe exactly the class of languages recognizable in polynomial time.