Learning Mildly Context-Sensitive Languages with Multidimensional Substitutability from Positive Data

  • Ryo Yoshinaka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5809)

Abstract

Recently Clark and Eyraud (2007) have shown that substitutable context-free languages, which capture an aspect of natural language phenomena, are efficiently identifiable in the limit from positive data. Generalizing their work, this paper presents a polynomial-time learning algorithm for new subclasses of mildly context-sensitive languages with variants of substitutability.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Angluin, D.: Inference of reversible languages. Journal of the Association for Computing Machinery 29(3), 741–765 (1982)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Becerra-Bonache, L., Case, J., Jain, S., Stephan, F.: Iterative learning of simple external contextual languages. In: Freund, Y., Györfi, L., Turán, G., Zeugmann, T. (eds.) ALT 2008. LNCS (LNAI), vol. 5254, pp. 359–373. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  3. 3.
    Becerra-Bonache, L., Yokomori, T.: Learning mild context-sensitiveness: Toward understanding children’s language learning. In: Paliouras, G., Sakakibara, Y. (eds.) ICGI 2004. LNCS (LNAI), vol. 3264, pp. 53–64. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  4. 4.
    Carme, J., Gilleron, R., Lemay, A., Niehren, J.: Interactive learning of node selecting tree transducer. Machine Learning 66(1), 33–67 (2007)CrossRefGoogle Scholar
  5. 5.
    Clark, A.: PAC-learning unambiguous NTS languages. In: Sakakibara, et al [16], pp. 59–71Google Scholar
  6. 6.
    Clark, A., Coste, F., Miclet, L. (eds.): ICGI 2008. LNCS (LNAI), vol. 5278. Springer, Heidelberg (2008)Google Scholar
  7. 7.
    Clark, A., Eyraud, R.: Identification in the limit of substitutable context-free languages. In: Jain, S., Simon, H.U., Tomita, E. (eds.) ALT 2005. LNCS (LNAI), vol. 3734, pp. 283–296. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  8. 8.
    Clark, A., Eyraud, R.: Polynomial identification in the limit of context-free substitutable languages. Journal of Machine Learning Research 8, 1725–1745 (2007)MATHGoogle Scholar
  9. 9.
    Clark, A., Eyraud, R., Habrard, A.: A polynomial algorithm for the inference of context free languages. In: Clark, et al [6], pp. 29–42Google Scholar
  10. 10.
    Gold, E.M.: Language identification in the limit. Information and Control 10(5), 447–474 (1967)MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    de la Higuera, C.: Characteristic sets for polynomial grammatical inference. Machine Learning 27, 125–138 (1997)CrossRefMATHGoogle Scholar
  12. 12.
    Kasprzik, A.: A learning algorithm for multi-dimensional trees, or: Learning beyond context-freeness. In: Clark, et al [6], pp. 111–124Google Scholar
  13. 13.
    Kudlek, M., Martín-Vide, C., Mateescu, A., Mitrana, V.: Contexts and the concept of mild context-sensitivity. Linguistics and Philosophy 26(6), 703–725 (2003)CrossRefGoogle Scholar
  14. 14.
    Oates, T., Armstrong, T., Becerra-Bonache, L., Atamas, M.: Inferring grammars for mildly context sensitive languages in polynomial-time. In: Sakakibara, et al [16], pp. 137–147Google Scholar
  15. 15.
    Rambow, O., Satta, G.: Independent parallelism in finite copying parallel rewriting systems. Theor. Comput. Sci. 223(1-2), 87–120 (1999)MathSciNetCrossRefMATHGoogle Scholar
  16. 16.
    Sakakibara, Y., Kobayashi, S., Sato, K., Nishino, T., Tomita, E. (eds.): ICGI 2006. LNCS (LNAI), vol. 4201. Springer, Heidelberg (2006)Google Scholar
  17. 17.
    Seki, H., Matsumura, T., Fujii, M., Kasami, T.: On multiple context-free grammars. Theoretical Computer Science 88(2), 191–229 (1991)MathSciNetCrossRefMATHGoogle Scholar
  18. 18.
    Wakatsuki, M., Tomita, E.: A fast algorithm for checking the inclusion for very simple deterministic pushdown automata. IEICE transactions on information and systems E76-D(10), 1224–1233 (1993)Google Scholar
  19. 19.
    Yoshinaka, R.: Identification in the limit of k, l-substitutable context-free languages. In: Clark, et al [6], pp. 266–279Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Ryo Yoshinaka
    • 1
  1. 1.Graduate School of Information Science and TechnologyHokkaido UniversitySapporoJapan

Personalised recommendations