Skip to main content

Towards Dual Approaches for Learning Context-Free Grammars Based on Syntactic Concept Lattices

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6795))

Abstract

Recent studies on grammatical inference have demonstrated the benefits of “distributional learning” for learning context-free and context-sensitive languages. Distributional learning models and exploits the relation between strings and contexts in the language of the learning target. There are two main approaches. One, which we call primal, constructs nonterminals whose language is characterized by strings. The other, which we call dual, uses contexts to characterize the language of a nonterminal of the conjecture grammar. This paper demonstrates and discusses the duality of those approaches by presenting some powerful learning algorithms along the way.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bollig, B., Habermehl, P., Kern, C., Leucker, M.: Angluin-style learning of NFA. In: Boutilier, C. (ed.) IJCAI, pp. 1004–1009 (2009)

    Google Scholar 

  2. Clark, A.: A learnable representation for syntax using residuated lattices. In: Proceedings of the 14th Conference on Formal Grammar, Bordeaux, France (2009)

    Google Scholar 

  3. Clark, A.: Three learnable models for the description of language. In: Dediu, A.-H., Fernau, H., Martín-Vide, C. (eds.) LATA 2010. LNCS, vol. 6031, pp. 16–31. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  4. Clark, A.: Distributional learning of some context-free languages with a minimally adequate teacher. In: [17], pp. 24–37 (2010)

    Google Scholar 

  5. Clark, A.: Learning context free grammars with the syntactic concept lattice. In: [17], pp. 38–51 (2010)

    Google Scholar 

  6. Clark, A.: Towards general algorithms for grammatical inference. In: Hutter, M., Stephan, F., Vovk, V., Zeugmann, T. (eds.) ALT 2010. LNCS, vol. 6331, pp. 11–30. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Clark, A.: Efficient, correct, unsupervised learning of context-sensitive languages. In: Proceedings of CoNLL. Association for Computational Linguistics, Uppsala (2010)

    Google Scholar 

  8. Clark, A., Eyraud, R.: Polynomial identification in the limit of substitutable context-free languages. Journal of Machine Learning Research 8, 1725–1745 (2007)

    MathSciNet  MATH  Google Scholar 

  9. Clark, A., Eyraud, R., Habrard, A.: Using contextual representations to efficiently learn context-free languages. Journal of Machine Learning Research 11, 2707–2744 (2010)

    MathSciNet  MATH  Google Scholar 

  10. Denis, F., Lemay, A., Terlutte, A.: Residual finite state automata. Fundam. Inform. 51(4), 339–368 (2002)

    MathSciNet  MATH  Google Scholar 

  11. Denis, F., Lemay, A., Terlutte, A.: Learning regular languages using RFSAs. Theor. Comput. Sci. 313(2), 267–294 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  12. Shirakawa, H., Yokomori, T.: Polynomial-time MAT learning of c-deterministic context-free grammars. Transaction of Information Processing Society of Japan 34, 380–390 (1993)

    Google Scholar 

  13. Yoshinaka, R.: Identification in the limit of k,l-substitutable context-free languages. In: Clark, A., Coste, F., Miclet, L. (eds.) ICGI 2008. LNCS (LNAI), vol. 5278, pp. 266–279. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Yoshinaka, R.: Learning mildly context-sensitive languages with multidimensional substitutability from positive data. In: Gavaldà, R., Lugosi, G., Zeugmann, T., Zilles, S. (eds.) ALT 2009. LNCS, vol. 5809, pp. 278–292. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  15. Yoshinaka, R.: Polynomial-time identification of multiple context-free languages from positive data and membership queries. In: [17], pp. 230–244 (2010)

    Google Scholar 

  16. Yoshinaka, R., Clark, A.: Polynomial time learning of some multiple context-free languages with a minimally adequate teacher. In: Proceedings of the 15th Conference on Formal Grammar, Copenhagen, Denmark (2010)

    Google Scholar 

  17. Sempere, J.M., García, P. (eds.): ICGI 2010. LNCS, vol. 6339. Springer, Heidelberg (2010)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yoshinaka, R. (2011). Towards Dual Approaches for Learning Context-Free Grammars Based on Syntactic Concept Lattices. In: Mauri, G., Leporati, A. (eds) Developments in Language Theory. DLT 2011. Lecture Notes in Computer Science, vol 6795. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22321-1_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22321-1_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22320-4

  • Online ISBN: 978-3-642-22321-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics