Optimal Unification and Learning Algorithms for Categorial Grammars

  • Authors:
  • Barbara Dziemidowicz

  • Affiliations:
  • Department of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2002

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Abstract

In this paper continuing [1], we present a more general approach to restricted optimal unification, introduced and applied to learning algorithms for categorial grammars in [2] and further developed in [7,8,4,5]. We introduce a procedure of finding minimal unifiers with respect to some preordering relation between substitutions and solve a general problem of finding all minimal (in several senses) categorial grammars compatible with a given language sample.