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A Characterization of the Language Classes Learnable with Correction Queries

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Theory and Applications of Models of Computation (TAMC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4484))

Abstract

Formal language learning models have been widely investigated in the last four decades. But it was not until recently that the model of learning from corrections was introduced. The aim of this paper is to make a further step towards the understanding of the classes of languages learnable with correction queries. We characterize these classes in terms of triples of definite finite tell-tales. This result allowed us to show that learning with correction queries is strictly more powerful than learning with membership queries, but weaker than the model of learning in the limit from positive data.

This work was possible thanks to the FPU Fellowship AP2004-6968 from the Spanish Ministry of Education and Science.

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References

  1. Gold, E.M.: Language identification in the limit. Information and Control 10, 447–474 (1967)

    Article  MATH  Google Scholar 

  2. Angluin, D.: Inductive inference of formal languages from positive data. Information and Control 45, 117–135 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  3. Mukouchi, Y.: Characterization of finite identification. In: Jantke, K.P. (ed.) AII 1992. LNCS, vol. 642, pp. 260–267. Springer, Heidelberg (1992)

    Google Scholar 

  4. Angluin, D.: Learning regular sets from queries and counterexamples. Information and Computation 75, 87–106 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lange, S., Zilles, S.: Formal language identification: query learning vs. Gold-style learning. Information Processing Letters 91, 285–292 (2004)

    Article  MathSciNet  Google Scholar 

  6. Dediu, A.-H., Becerra-Bonache, L., Tîrnăucă, C.: Learning DFA from Correction and Equivalence Queries. In: Sakakibara, Y., et al. (eds.) ICGI 2006. LNCS (LNAI), vol. 4201, pp. 281–292. Springer, Heidelberg (2006)

    Google Scholar 

  7. Martín-Vide, C., Mitrana, V., Păun, G. (eds.): Formal Languages and Applications. Studies in Fuzzyness and Soft Computing, vol. 148. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  8. Zeugmann, T., Lange, S.: A guided tour across the boundaries of learning recursive languages. In: Lange, S., Jantke, K.P. (eds.) GOSLER 1994. LNCS, vol. 961, pp. 190–258. Springer, Heidelberg (1995)

    Google Scholar 

  9. Zeugmann, T., Lange, S., Kapur, S.: Characterizations of monotonic and dual monotonic language learning. Information and Computation 120, 155–173 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zeugmann, T.: Inductive inference and language learning. In: Cai, J.-Y., Cooper, S.B., Li, A. (eds.) TAMC 2006. LNCS, vol. 3959, pp. 464–473. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  11. Lange, S., Zeugmann, T.: Types of monotonic language learning and their characterization. In: Proc. 5th Annual Workshop on Computational Learning Theory (COLT ’92), pp. 377–390. ACM Press, New York (1992)

    Chapter  Google Scholar 

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Jin-Yi Cai S. Barry Cooper Hong Zhu

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© 2007 Springer-Verlag Berlin Heidelberg

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Tîrnăucă, C., Kobayashi, S. (2007). A Characterization of the Language Classes Learnable with Correction Queries. In: Cai, JY., Cooper, S.B., Zhu, H. (eds) Theory and Applications of Models of Computation. TAMC 2007. Lecture Notes in Computer Science, vol 4484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72504-6_36

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  • DOI: https://doi.org/10.1007/978-3-540-72504-6_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72503-9

  • Online ISBN: 978-3-540-72504-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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