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Learning behaviors of automata from shortest counterexamples

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Computational Learning Theory (EuroCOLT 1995)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 904))

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Abstract

Generalizing a result of Ibarra and Jiang on the learning of regular languages from counterexamples, we show a polynomial time algorithm that exactly identifies an unknown Q-automaton from equivalence queries, given an oracle that provides counterexamples which are minimal w.r.t. the alphabetic ordering.

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References

  1. D. Angluin. A note on the number of queries needed to identify regular languages. Information and Control, 51:76–87, 1981.

    Google Scholar 

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

    Google Scholar 

  3. D. Angluin. Negative results for equivalence queries. Machine Learning, 5:121–150, 1990.

    Google Scholar 

  4. F. Bergadano and S. Varricchio. Learning Behaviors of Automata from Equivalence and Multiplicity Queries (Extended Abstract), Lecture Notes in Computer Science, Vol. 778, pages 54–62, 1994.

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  5. F. Bergadano and S. Varricchio. Learning Behaviors of Automata from Equivalence and Multiplicity Queries. SIAM Journal on Computing, to appear.

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  6. J. Berstel and C. Reutenauer. Rational series and their languages Springer-Verlag, Berlin, 1988.

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  7. S. Eilenberg Automata, Languages and Machines Vol. A, Academic Press, New York, 1974.

    Google Scholar 

  8. O. Ibarra and T. Jiang. Learning regular languages from counterexamples Proc of 1988 Workshop on Computational Learning Theory, 5: 371–385 1988.

    Google Scholar 

  9. A. Salomaa and M. Soittola. Automata theoretic aspects of formal power series Springer-Verlag, New York, 1978.

    Google Scholar 

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Paul Vitányi

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© 1995 Springer-Verlag Berlin Heidelberg

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Bergadano, F., Varricchio, S. (1995). Learning behaviors of automata from shortest counterexamples. In: Vitányi, P. (eds) Computational Learning Theory. EuroCOLT 1995. Lecture Notes in Computer Science, vol 904. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59119-2_193

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  • DOI: https://doi.org/10.1007/3-540-59119-2_193

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59119-1

  • Online ISBN: 978-3-540-49195-8

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