On the mathematical properties of linguistic theories

  • Authors:
  • C. Raymond Perrault

  • Affiliations:
  • Stanford University

  • Venue:
  • Computational Linguistics - Special issue on mathematical properties of grammatical formalisms
  • Year:
  • 1984

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Abstract

Metatheoretical findings regarding the decidability, generative capacity, and recognition complexity of several syntactic theories are surveyed. These include context-free, transformational, lexical-functional, generalized phrase structure, tree adjunct, and stratificational grammars. The paper concludes with a discussion of the implications of these results with respect to linguistic theory.