Skip to main content

Distributed Event Clock Automata

Extended Abstract

  • Conference paper
Implementation and Application of Automata (CIAA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6807))

Included in the following conference series:

Abstract

In distributed real-time systems, we cannot assume that clocks are perfectly synchronized. To model them, we use independent clocks and define their timed semantics. The universal timed language, and the timed language inclusion of icTA are undecidable. Thus, we propose Recursive Distributed Event Clock Automata (DECA). DECA are closed under all boolean operations and their timed language inclusion problem is decidable (more precisely PSPACE-complete), allowing stepwise refinement. We also propose Distributed Event Clock Temporal Logic (DECTL), a real-time logic with independent time evolutions. This logic can be model-checked by translating a DECTL formula into a DECA automaton.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Akshay, S., Bollig, B., Gastin, P., Mukund, M., Narayan Kumar, K.: Distributed timed automata with independently evolving clocks. In: van Breugel, F., Chechik, M. (eds.) CONCUR 2008. LNCS, vol. 5201, pp. 82–97. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Alur, R., Dill, D.L.: A theory of timed automata. Theor. Comput. Sci. 126(2), 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  3. Alur, R., Feder, T., Henzinger, T.A.: The benefits of relaxing punctuality. ACM 43(1), 116–146 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. Alur, R., Fix, L., Henzinger, T.A.: A determinizable class of timed automata. In: Dill, D.L. (ed.) CAV 1994. LNCS, vol. 818, pp. 1–13. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  5. Alur, R., Henzinger, T.A.: Logics and models of real time: A survey. In: Huizing, C., de Bakker, J.W., Rozenberg, G., de Roever, W.-P. (eds.) REX 1991. LNCS, vol. 600, pp. 74–106. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  6. Bengtsson, J.E., Jonsson, B., Lilius, J., Yi, W.: Partial order reductions for timed systems. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 485–500. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  7. Bérard, B., Petit, A., Diekert, V., Gastin, P.: Characterization of the expressive power of silent transitions in timed automata. Fundam. Inform. 36(2-3), 145–182 (1998)

    MathSciNet  MATH  Google Scholar 

  8. De Wulf, M., Doyen, L., Markey, N., Raskin, J.-F.: Robustness and implementability of timed automata. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS 2004 and FTRTFT 2004. LNCS, vol. 3253, pp. 118–133. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Dima, C.: Distributed real-time automata. In: Martin-Vide, C., Mitrana, V. (eds.) Essays in honor of Gheorghe Păun, pp. 131–140. Taylor & Francis, Abington (2003)

    Google Scholar 

  10. Dima, C., Lanotte, R.: Distributed time-asynchronous automata. In: Jones, C.B., Liu, Z., Woodcock, J. (eds.) ICTAC 2007. LNCS, vol. 4711, pp. 185–200. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. Doyen, L., Geeraerts, G., Raskin, J.-F., Reichert, J.: Realizability of real-time logics. In: Ouaknine, J., Vaandrager, F.W. (eds.) FORMATS 2009. LNCS, vol. 5813, pp. 133–148. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  12. Henzinger, T.A., Raskin, J.-F., Schobbens, P.-Y.: The regular real-time languages. In: Larsen, K.G., Skyum, S., Winskel, G. (eds.) ICALP 1998. LNCS, vol. 1443, pp. 580–591. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  13. Hirshfeld, Y., Rabinovich, A.: An expressive temporal logic for real time. In: Královič, R., Urzyczyn, P. (eds.) MFCS 2006. LNCS, vol. 4162, pp. 492–504. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Krishnan, P.: Distributed timed automata. Electr. Notes Theor. Comput. Sci. 28 (1999)

    Google Scholar 

  15. Jerson Ortiz, J., Legay, A., Schobbens, P.-Y.: Memory event clocks. In: Chatterjee, K., Henzinger, T.A. (eds.) FORMATS 2010. LNCS, vol. 6246, pp. 198–212. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  16. Ortiz, J., Legay, A., Schobbens, P.-Y.: Distributed event clock automata. Tech. rep., FUNDP University, Belgium (2011), http://www.info.fundp.ac.be/~jor/DecaReport

  17. Piterman, N.: From nondeterministic Büchi and Streett automata to deterministic parity automata. In: Proceedings of the 21st Annual IEEE Symposium on Logic in Computer Science, pp. 255–264. IEEE Computer Society, Washington, DC, USA (2006), http://portal.acm.org/citation.cfm?id=1157735.1158062

  18. Puri, A.: Dynamical properties of timed automata. In: Ravn, A.P., Rischel, H. (eds.) FTRTFT 1998. LNCS, vol. 1486, pp. 210–227. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  19. Raskin, J.-F.: Logics, Automata and Classical Theories for Deciding Real Time. PhD thesis, FUNDP University, Belgium (1999), http://www.ulb.ac.be/di/ssd/jfr/

  20. Raskin, J.-F., Schobbens, P.-Y.: State clock logic: A decidable real-time logic. In: Maler, O. (ed.) HART 1997. LNCS, vol. 1201, pp. 33–47. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  21. Schobbens, P.-Y., Raskin, J.-F., Henzinger, T.A.: Axioms for real-time logics. Theoretical Computer Science 274, 151–182 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  22. Wolper, P.: Temporal logic can be more expressive. Information and Control 56(1-2), 72–99 (1983)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ortiz, J., Legay, A., Schobbens, PY. (2011). Distributed Event Clock Automata. In: Bouchou-Markhoff, B., Caron, P., Champarnaud, JM., Maurel, D. (eds) Implementation and Application of Automata. CIAA 2011. Lecture Notes in Computer Science, vol 6807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22256-6_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22256-6_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22255-9

  • Online ISBN: 978-3-642-22256-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics