Consistent Identification in the Limit of Any of the Classes k -Valued Is NP-hard

  • Authors:
  • Christophe Costa Florêncio

  • Affiliations:
  • -

  • Venue:
  • LACL '01 Proceedings of the 4th International Conference on Logical Aspects of Computational Linguistics
  • Year:
  • 2001

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Abstract

In [Bus87], [BP90] 'discovery procedures' for CCGs were defined that accept a sequence of structures as input and yield a set of grammars.In [Kan98] it was shown that some of the classes based on these procedures are learnable (in the technical sense of [Gol67]). In [CF00] it was shown that learning some of these classes by means of a consistent learning function is NP-hard.The complexity of learning classes from one particular family, Gk-valued, was still left open. In this paper it is shown that learning any (except one) class from this family by means of a consistent learning function is NP-hard as well.