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Inferring Regular Trace Languages from Positive and Negative Samples

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6339))

Abstract

In this work, we give an algorithm that infers Regular Trace Languages. Trace languages can be seen as regular languages that are closed under a partial commutation relation called the independence relation. This algorithm is similar to the RPNI algorithm, but it is based on Asynchronous Cellular Automata. For this purpose, we define Asynchronous Cellular Moore Machines and implement the merge operation as the calculation of an equivalence relation. After presenting the algorithm we provide a proof of its convergence (which is more complicated than the proof of convergence of the RPNI because there are no Minimal Automata for Asynchronous Automata), and we discuss the complexity of the algorithm.

Work supported by the project Técnicas de Inferencia Gramatical y aplicación al procesamiento de biosecuencias (TIN2007-60769) supported by the Spanish Ministry of Education and Sciences.

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References

  1. Ruiz, J., Cano, A., García, P.: Inferring subclasses of regular languages faster using \(\text{RPNI}\) and forbidden configurations. In: Adriaans, P.W., Fernau, H., van Zaanen, M. (eds.) ICGI 2002. LNCS (LNAI), vol. 2484, pp. 28–36. Springer, Heidelberg (2002)

    Google Scholar 

  2. Pin, J.-E., Cano Gmez, A., Guaiana, G.: When does partial commutative closure preserve regularity? In: Aceto, L., Damgård, I., Goldberg, L.A., Halldórsson, M.M., Ingólfsdóttir, A., Walukiewicz, I. (eds.) ICALP 2008, Part II. LNCS, vol. 5126, pp. 209–220. Springer, Heidelberg (2008)

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  4. Cano, A., Alvarez, G.: Learning commutative regular language. In: Clark, A., Coste, F., Miclet, L. (eds.) ICGI 2008. LNCS (LNAI), vol. 5278, pp. 71–83. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Pighizzini, G., Bruschi, D., Sabadini, N.: On the existence of the minimum asynchronous automaton and on decision problems for unambiguous regular trace languages. In: Proceedings of the 5th Annual Symposium on Theoretical Aspects of Computer Science. LNCS, pp. 334–345. Springer, Heidelberg (1988)

    Google Scholar 

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

    Article  MATH  Google Scholar 

  7. Mazurkiewicz, A.W.: Trace theory. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) APN 1986. LNCS, vol. 254, pp. 279–324. Springer, Heidelberg (1987)

    Google Scholar 

  8. Oncina, J., Garcia, P.: Inferring regular languages in polynomial updated time. In: Pattern Recognition and Image Analysis (1992)

    Google Scholar 

  9. Rozenberg, G., Salomaa, A. (eds.): Handbook of formal languages. Beyond Words, vol. 3. Springer, New York (1997)

    Google Scholar 

  10. Trakhtenbrot, B., Barzidin, Y.: Finite automata: Behavior and synthesis (1973)

    Google Scholar 

  11. Trakhtenbrot, K.J.: Evidence-drive state merging with search (1998), http://citerseer.nj.sec.com/lang98evidence.html

  12. Trakhtenbrot, K.J., Peralmutter, B.A.: Abbadingo one: Dfa learning competition (1997), http://abbadingo.cs.unm.edu

  13. Diekert, V., Rozenberg, G.: Book of Traces. World Scientific Publishing Co., Inc., River Edge (1995)

    Book  Google Scholar 

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Cano Gómez, A. (2010). Inferring Regular Trace Languages from Positive and Negative Samples. In: Sempere, J.M., García, P. (eds) Grammatical Inference: Theoretical Results and Applications. ICGI 2010. Lecture Notes in Computer Science(), vol 6339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15488-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-15488-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15487-4

  • Online ISBN: 978-3-642-15488-1

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