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

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Logical Aspects of Computational Linguistics (LACL 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2099))

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.

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Florêncio, C.C. (2001). Consistent Identification in the Limit of Any of the Classes k-Valued Is NP-hard. In: de Groote, P., Morrill, G., Retoré, C. (eds) Logical Aspects of Computational Linguistics. LACL 2001. Lecture Notes in Computer Science(), vol 2099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48199-0_8

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  • DOI: https://doi.org/10.1007/3-540-48199-0_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42273-0

  • Online ISBN: 978-3-540-48199-7

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