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An Efficient Algorithm for Learning Event-Recording Automata

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Automated Technology for Verification and Analysis (ATVA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6996))

Abstract

In inference of untimed regular languages, given an unknown language to be inferred, an automaton is constructed to accept the unknown language from answers to a set of membership queries each of which asks whether a string is contained in the unknown language. One of the most well-known regular inference algorithms is the L* algorithm, proposed by Angluin in 1987, which can learn a minimal deterministic finite automaton (DFA) to accept the unknown language. In this work, we propose an efficient polynomial time learning algorithm, TL*, for timed regular language accepted by event-recording automata. Given an unknown timed regular language, TL* first learns a DFA accepting the untimed version of the timed language, and then passively refines the DFA by adding time constraints. We prove the correctness, termination, and minimality of the proposed TL* algorithm.

This research is supported by the research grant MOE2009-T2-1-072 (Advanced Model Checking Systems) in School of Computing, National University of Singapore.

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References

  1. Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126(2), 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: A determinizable class of timed automata. Theoretical Computer Science 211(1-2), 253–273 (1999)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. Clarke, E.M., Emerson, E.A.: Design and sythesis of synchronization skeletons using branching time temporal logic. In: Proceedings of the Logics of Programs Workshop, vol. 131, pp. 52–71 (1981)

    Google Scholar 

  5. Cobleigh, J.M., Giannakopoulou, D., Păsăreanu, C.S.: Learning assumptions for compositional verification. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 331–346. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  6. Dill, D.L.: Timing assumptions and verification of finite-state concurrent systems. In: Sifakis, J. (ed.) CAV 1989. LNCS, vol. 407, pp. 197–212. Springer, Heidelberg (1990)

    Chapter  Google Scholar 

  7. Grinchtein, O., Jonsson, B., Leucker, M.: Learning of event-recording automata. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS 2004 and FTRTFT 2004. LNCS, vol. 3253, pp. 379–395. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Grinchtein, O., Jonsson, B., Leucker, M.: Learning of event-recording automata. Theorectical Computer Science 411(47), 4029–4054 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)

    MATH  Google Scholar 

  10. Lin, S.W., Hsiung, P.A.: Counterexample-guided assume-guarantee synthesis through learning. IEEE Transactions on Computers 60(5), 734–750 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  11. Lin, S.W., Hsiung, P.A., Huang, C.H., Chen, Y.R.: Model checking prioritized timed automata. In: Peled, D.A., Tsay, Y.-K. (eds.) ATVA 2005. LNCS, vol. 3707, pp. 370–384. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  12. Liu, Y., Sun, J., Dong, J.S.: Analyzing hierarchical complex real-time systems. In: Proceedings of the 8th ACM SIGSOFT International Symposium on the Foundations of Software Engineering (FSE), pp. 365–366. ACM, New York (2010)

    Google Scholar 

  13. Queille, J.P., Sifakis, J.: Specification and verification of concurrent systems in CESAR. In: Dezani-Ciancaglini, M., Montanari, U. (eds.) Programming 1982. LNCS, vol. 137, pp. 337–351. Springer, Heidelberg (1982)

    Chapter  Google Scholar 

  14. Sun, J., Liu, Y., Dong, J.S., Pang, J.: PAT: Towards flexible verification under fairness. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 709–714. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

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Lin, SW., André, É., Dong, J.S., Sun, J., Liu, Y. (2011). An Efficient Algorithm for Learning Event-Recording Automata. In: Bultan, T., Hsiung, PA. (eds) Automated Technology for Verification and Analysis. ATVA 2011. Lecture Notes in Computer Science, vol 6996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24372-1_35

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  • DOI: https://doi.org/10.1007/978-3-642-24372-1_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24371-4

  • Online ISBN: 978-3-642-24372-1

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