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Learning Context Free Grammars with the Finite Context Property: A Correction of A. Clark’s Algorithm

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Formal Grammar (FG 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8612))

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Abstract

A. Clark[2] has shown that the class of languages which have a context-free grammar whose nonterminals can be defined by a finite set of contexts can be identified in the limit, given an enumeration of the language and a test for membership. We show by example that Clark’s algorithm may converge to a grammar that does not define the input language. We review the theoretical background, provide a non-obvious modification of the algorithm and prove its correctness.

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References

  1. Clark, A.: A learnable representation for syntax using residuated lattices. In: de Groote, P., Egg, M., Kallmeyer, L. (eds.) FG 2009. LNCS, vol. 5591, pp. 183–198. Springer, Heidelberg (2011)

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Authors and Affiliations

  1. Centrum für Informations- und Sprachverarbeitung, Universität München, Oettingenstr.67, 80538, München, Germany

    Hans Leiß

Authors
  1. Hans Leiß
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Editor information

Editors and Affiliations

  1. Departament de Llenguatges i Sistemes,Informàtics, Universitat Politècnica de Catalunya, Jordi Girona Salgado,1-3, 08034, Barcelona, Spain

    Glyn Morrill

  2. Department of Philosophy, Tilburg University, P.O. Box 90153, NL 5000, LE Tilburg, The Netherlands

    Reinhard Muskens

  3. Department of Linguistics and Information Science, Heinrich-Heine-University Düsseldorf, Universitätsstrasse 1, 40225, Düsseldorf, Germany

    Rainer Osswald

  4. Institute for English and American Studies, Department of Linguistic, Goethe University Frankfurt am Main, Grüneburgplatz 1, 60323, Frankfurt, Germany

    Frank Richter

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Leiß, H. (2014). Learning Context Free Grammars with the Finite Context Property: A Correction of A. Clark’s Algorithm. In: Morrill, G., Muskens, R., Osswald, R., Richter, F. (eds) Formal Grammar. FG 2014. Lecture Notes in Computer Science, vol 8612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44121-3_8

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  • DOI: https://doi.org/10.1007/978-3-662-44121-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44120-6

  • Online ISBN: 978-3-662-44121-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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