Abstract automata and a normal form for categorial dependency grammars

  • Authors:
  • Boris Karlov

  • Affiliations:
  • Tver State Universty, Tver, Russia

  • Venue:
  • LACL'12 Proceedings of the 7th international conference on Logical Aspects of Computational Linguistics
  • Year:
  • 2012

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Abstract

Categorial Dependency Grammars (CDG) studied in this paper are categorial grammars expressing projective and discontinuous dependencies, stronger than cf-grammars and presumably nonequivalent to mild context-sensitive grammars. We define a normal form of CDG similar to Greibach normal form for cf-grammars and propose an effective algorithm which transforms any CDG into an equivalent CDG in the normal form. A class of push-down automata with independent counters is defined and it is proved that they accept the class of CDG-languages. We present algorithms that transform any CDG into an automaton and vice versa.