Categorial and non-categorial languages

  • Authors:
  • Joyce Friedman;Ramarathnam Venkatesan

  • Affiliations:
  • Boston University, Boston, Massachusetts;Boston University, Boston, Massachusetts

  • Venue:
  • ACL '86 Proceedings of the 24th annual meeting on Association for Computational Linguistics
  • Year:
  • 1986

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Abstract

We study the formal and linguistic properties of a class of parenthesis-free categorial grammars derived from those of Ades and Steedman by varying the set of reduction rules. We characterize the reduction rules capable of generating context-sensitive languages as those having a partial combination rule and a combination rule in the reverse direction. We show that any categorial language is a permutation of some context-free language, thus inheriting properties dependent on symbol counting only. We compare some of their properties with other contemporary formalisms.