Abstract
On the one hand, modal specifications are classic, convenient, and expressive mathematical objects to represent interfaces of component-based systems. On the other hand, time is a crucial aspect of systems for practical applications, e.g. in the area of embedded systems. And yet, only few results exist on the design of timed component-based systems. In this paper, we propose a timed extension of modal specifications, together with fundamental operations (conjunction, product, and quotient) that enable to reason in a compositional way about timed system. The specifications are given as modal event-clock automata, where clock resets are easy to handle. We develop an entire theory that promotes efficient incremental design techniques.
This work was funded by the European project COMBEST, IST-STREP 215543.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126(2), 183–235 (1994)
Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: A determinizable class of timed automata. Theoretical Computer Science 211, 1–13 (1999)
Alur, R., Henzinger, T.A., Kupferman, O.: Alternating-time temporal logic. Journal of the ACM 49(5), 672–713 (2002)
Alur, R., Henzinger, T.A., Kupferman, O., Vardi, M.Y.: Alternating refinement relations. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 163–178. Springer, Heidelberg (1998)
Antonik, A., Huth, M., Larsen, K.G., Nyman, U., Wasowski, A.: 20 years of modal and mixed specifications. Bulletin of European Association of Theoretical Computer Science 1(94) (2008)
Arnold, A., Nivat, M.: Metric interpretations of infinite trees and semantics of non deterministic recursive programs. Theoretical Computer Science 11, 181–205 (1980)
Arnold, A., Vincent, A., Walukiewicz, I.: Games for synthesis of controllers with partial observation. Theoretical Computer Science 303(1), 7–34 (2003)
Bertrand, N., Legay, A., Pinchinat, S., Raclet, J.-B.: A compositional approach on modal specifications for timed systems. Technical report, INRIA 7039 (September 2009)
Bertrand, N., Pinchinat, S., Raclet, J.-B.: Refinement and consistency of timed modal specifications. In: Proceedings of the 3rd International Conference on Language and Automata Theory and Applications (LATA 2009). LNCS, vol. 5457, pp. 152–163. Springer, Heidelberg (2009)
Kārlis Čerāns, Jens Chr. Godskesen, and Kim G. Larsen. Timed modal specification - theory and tools. In Proceedings of the 5th International Conference on Computer Aided Verification (CAV’93), volume 697 of Lecture Notes in Computer Science, pages 253–267. Springer, 1993. 679
Chatain, T., David, A., Larsen, K.G.: Playing games with timed games. In: Proceedings of the 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2009 (to appear, 2009)
de Alfaro, L., Henzinger, T.A.: Interface automata. In: Proceedings of the 9th ACM SIGSOFT International Symposium on Foundations of Software Engineering (FSE 2001), pp. 109–120 (2001)
de Alfaro, L., Henzinger, T.A., Stoelinga, M.: Timed interfaces. In: Sangiovanni-Vincentelli, A.L., Sifakis, J. (eds.) EMSOFT 2002. LNCS, vol. 2491, pp. 108–122. Springer, Heidelberg (2002)
Doyen, L., Henzinger, T.A., Jobstmann, B., Petrov, T.: Interface theories with component reuse. In: Proceedings of the 8th International Conference on Embedded Software (EMSOFT 2008), pp. 79–88. ACM Press, New York (2008)
Feuillade, G., Pinchinat, S.: Modal specifications for the control theory of discrete-event systems. Discrete Event Dynamic Systems 17(2), 181–205 (2007)
Henzinger, T.A., Sifakis, J.: The embedded systems design challenge. In: Misra, J., Nipkow, T., Sekerinski, E. (eds.) FM 2006. LNCS, vol. 4085, pp. 1–15. Springer, Heidelberg (2006)
Jonsson, B., Larsen, K.G.: On the complexity of equation solving in process algebra. In: Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT 1991), pp. 381–396. Springer, Heidelberg (1991)
Larsen, K.G.: Modal specifications. In: Sifakis, J. (ed.) CAV 1989. LNCS, vol. 407, pp. 232–246. Springer, Heidelberg (1990)
Larsen, K.G., Nyman, U., Wasowski, A.: Modal i/o automata for interface and product line theories. In: De Nicola, R. (ed.) ESOP 2007. LNCS, vol. 4421, pp. 64–79. Springer, Heidelberg (2007)
Larsen, K.G., Nyman, U., Wasowski, A.: On modal refinement and consistency. In: Caires, L., Vasconcelos, V.T. (eds.) CONCUR 2007. LNCS, vol. 4703, pp. 105–119. Springer, Heidelberg (2007)
Lynch, N., Tuttle, M.R.: An introduction to Input/Output automata. CWI-quarterly 2(3) (1989)
Raclet, J.-B.: Quotient de spécifications pour la réutilisation de composants. PhD thesis, Université de Rennes I, december, In French (2007)
Raclet, J.-B.: Residual for component specifications. In: Proceedings of the 4th International Workshop on Formal Aspects of Component Software, FACS 2007 (2007)
Raclet, J.-B., Badouel, E., Benveniste, A., Caillaud, B., Passerone, R.: Why are modalities good for interface theories? In: Proceedings of the 9th International Conference on Application of Concurrency to System Design (ACSD 2009), pp. 127–199. IEEE Computer Society Press, Los Alamitos (2009)
The UPPAAL tool, http://www.uppaal.com/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bertrand, N., Legay, A., Pinchinat, S., Raclet, JB. (2009). A Compositional Approach on Modal Specifications for Timed Systems. In: Breitman, K., Cavalcanti, A. (eds) Formal Methods and Software Engineering. ICFEM 2009. Lecture Notes in Computer Science, vol 5885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10373-5_35
Download citation
DOI: https://doi.org/10.1007/978-3-642-10373-5_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10372-8
Online ISBN: 978-3-642-10373-5
eBook Packages: Computer ScienceComputer Science (R0)