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Generalizing the Discrete Timed Automaton

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Implementation and Application of Automata (CIAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2088))

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Abstract

We describe a general automata-theoretic approach for analyzing the verification problems (binary reachability, safety, etc.) of discrete timed automata augmented with various data structures. We give examples of such data structures and exhibit some new properties of discrete timed automata that can be verified. We also briefly consider reachability in discrete timed automata operating in parallel.

Supported in part by NSF grant IRI-9700370.

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References

  1. R. Alur and D. Dill. Automata for modeling real-time systems. Theoretical Computer Science, 126(2), pp. 83–236, 1994.

    Article  MathSciNet  Google Scholar 

  2. A. Bouajjani, R. Echahed, and R. Robbana. On the Automatic Verification of Systems with Continuous Variables and Unbounded Discrete Data Structures. In Hybrid Systems II, LNCS 999, 1995.

    Google Scholar 

  3. A. Cherubini, L. Breveglieri, C. Citrini, and S.C. Reghizzi. Multiple push-down languages and grammars. Int. J. of Foundations of Computer Science, pp. 253–291, 1996.

    Google Scholar 

  4. H. Comon and Y. Jurski. Multiple counters automata, safety analysis and Presburger arithmetic. Proc. 10th Int. Conf. on Computer Aided Verification, pp. 268–279, 1998.

    Google Scholar 

  5. H. Comon and Y. Jurski. Timed automata and the theory of real numbers. Proc. 10th Int. Conf. on Concurrency Theory, pp. 242–257, 1999.

    Google Scholar 

  6. Z. Dang. Verification and Debugging of Infinite State Real-time Systems. Ph.D. Thesis. University of California, Santa Barbara, 2000.

    Google Scholar 

  7. Z. Dang, O.H. Ibarra, T. Bultan, R.A. Kemmerer, and J. Su. Binary reachability analysis of discrete pushdown timed automata. Int. Conf. on Computer Aided Verification, 2000.

    Google Scholar 

  8. O.H. Ibarra. Reversal-bounded multicounter machines and their decision problems. J. of the Association for Computing Machinery, 25, pp. 116–133, 1978.

    MATH  MathSciNet  Google Scholar 

  9. O.H. Ibarra, T. Bultan, and J. Su. Reachability analysis for some models of infinite-state transition systems. Proc. 10th Int. Conf. on Concurrency Theory, 2000.

    Google Scholar 

  10. O.H. Ibarra, Z. Dang, and P. San Pietro. Queue-Connected Discrete Timed Automata. In preparation.

    Google Scholar 

  11. M. Minsky. Recursive unsolvability of Post’s problem of Tag and other topics in the theory of Turing machines. Ann. of Math., 74, pp. 437–455, 1961.

    Article  MathSciNet  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Ibarra, O.H., Su, J. (2001). Generalizing the Discrete Timed Automaton. In: Yu, S., Păun, A. (eds) Implementation and Application of Automata. CIAA 2000. Lecture Notes in Computer Science, vol 2088. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44674-5_13

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  • DOI: https://doi.org/10.1007/3-540-44674-5_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42491-8

  • Online ISBN: 978-3-540-44674-3

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