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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
Alur, R., Dill, D.L.: A theory of timed automata. Theor. Comput. Sci. 126(2), 183–235 (1994)
Alur, R., Feder, T., Henzinger, T.A.: The benefits of relaxing punctuality. ACM 43(1), 116–146 (1996)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
Krishnan, P.: Distributed timed automata. Electr. Notes Theor. Comput. Sci. 28 (1999)
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)
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
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
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)
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/
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)
Schobbens, P.-Y., Raskin, J.-F., Henzinger, T.A.: Axioms for real-time logics. Theoretical Computer Science 274, 151–182 (2002)
Wolper, P.: Temporal logic can be more expressive. Information and Control 56(1-2), 72–99 (1983)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)