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Learning Regular Languages Using Nondeterministic Finite Automata

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Implementation and Applications of Automata (CIAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5148))

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Abstract

A new general method for inference of regular languages using nondeterministic automata as output has recently been developed and proved to converge. The aim of this paper is to describe and analyze the behavior of two implementations of that method and to compare it with two well known algorithms for the same task. A complete set of experiments has been carried out and the results of the new algorithms improve the existing ones both in recognition rates as in sizes of the output automata.

Work partially supported by Spanish Ministerio de Educación y Ciencia under project TIN2007-60769.

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References

  1. Abela, J., Coste, F., Spina, S.: Mutually Compatible and Incompatible Merges for the Search of the Smallest Consistent DFA. In: Paliouras, G., Sakakibara, Y. (eds.) ICGI 2004. LNCS (LNAI), vol. 3264, pp. 28–39. Springer, Heidelberg (2004)

    Google Scholar 

  2. Alvarez, G.I., Ruiz, J., Cano, A., García, P.: Nondeterministic Regular Positive Negative Inference NRPNI. In: Díaz, J.F., Rueda, C., Buss, A. (eds.) XXXI CLEI 2005, pp. 239–249 (2005)

    Google Scholar 

  3. Conway, J.H.: Regular algebra and finite machines. Chapman and Hall, Boca Raton (1971)

    MATH  Google Scholar 

  4. Coste, F., Fredouille, D.: Unambiguous automata inference by means of state merging methods. In: Lavrač, N., Gamberger, D., Todorovski, L., Blockeel, H. (eds.) ECML 2003. LNCS (LNAI), vol. 2837, pp. 60–71. Springer, Heidelberg (2003)

    Google Scholar 

  5. Denis, F., Lemay, A., Terlutte, A.: Learning regular languages using RFSAs. Theoretical Computer Science 313(2), 267–294 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. García, P., Ruiz, J., Cano, A., Alvarez, G.: Inference Improvement by Enlarging the Training Set while Learning DFAs. In: Sanfeliu, A., Cortés, M.L. (eds.) CIARP 2005. LNCS, vol. 3773, pp. 59–70. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. García, P., Vazquez de Parga, M., Alvarez, G., Ruiz, J.: Universal Automata and NFA learning. Theoretical Computer Science (to appear, 2008)

    Google Scholar 

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

    Article  MATH  Google Scholar 

  9. Lang, K., Perarlmutter, B., Price, R.: Results of the abbadingo one DFA learning competition and a new evidence-driven state merging algorithm. In: Honavar, V.G., Slutzki, G. (eds.) ICGI 1998. LNCS (LNAI), vol. 1433, pp. 1–12. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  10. Oncina, J., García, P.: Inferring Regular Languages in Polynomial Updated Time. In: de la Blanca, P., Sanfeliú, Vidal (eds.) Pattern Recognition and Image Analysis. World Scientific, Singapore (1992)

    Google Scholar 

  11. Polák, L.: Minimalizations of NFA using the universal automaton. In: Domaratzki, M., Okhotin, A., Salomaa, K., Yu, S. (eds.) CIAA 2004. LNCS, vol. 3317, pp. 325–326. Springer, Heidelberg (2005)

    Google Scholar 

  12. Trakhtenbrot, B., Barzdin, Y.: Finite Automata: Behavior and Synthesis. North Holland Publishing Company, Amsterdam (1973)

    MATH  Google Scholar 

  13. Vázquez de Parga, M., García, P., Ruiz, J.: A family of algorithms for non deterministic regular languages inference. In: Parsons, S., Maudet, N., Moraitis, P., Rahwan, I. (eds.) ArgMAS 2005. LNCS (LNAI), vol. 4049, pp. 265–275. Springer, Heidelberg (2006)

    Google Scholar 

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Oscar H. Ibarra Bala Ravikumar

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García, P., de Parga, M.V., Álvarez, G.I., Ruiz, J. (2008). Learning Regular Languages Using Nondeterministic Finite Automata. In: Ibarra, O.H., Ravikumar, B. (eds) Implementation and Applications of Automata. CIAA 2008. Lecture Notes in Computer Science, vol 5148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70844-5_10

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  • DOI: https://doi.org/10.1007/978-3-540-70844-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70843-8

  • Online ISBN: 978-3-540-70844-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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