Abstract
In this paper we focus on property-preserving preorders between timed game automata and their application to control of partially observable systems. We define timed weak alternating simulation as a preorder between timed game automata, which preserves controllability. We define the rules of building a symbolic turn-based two-player game such that the existence of a winning strategy is equivalent to the simulation being satisfied. We also propose an on-the-fly algorithm for solving this game. This simulation checking method can be applied to the case of non-alternating or strong simulations as well. We illustrate our algorithm by a case study and report on results.
This work has been supported by the EC FP7 under grant numbers INFSO-ICT-224249 (Multiform www.ict-multiform.eu) and ICT-214755 (Quasimodo www.quasimodo.aau.dk), and the VKR Center of Excellence MT-LAB (www.mtlab.dk).
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References
Abdeddaïm, Y., Asarin, E., Gallien, M., Ingrand, F., Lessire, C., Sighireanu, M.: Planning Robust Temporal Plans A Comparison Between CBTP and TGA Approaches. In: Proceedings of the International Conference on Automated Planning and Scheduling International Conference on Automated Planning and Scheduling (ICAPS 2007). AAAI Press, Menlo Park (2007)
Alur, R., Courcoubetis, C., Dill, D.L.: Model-checking in dense real-time. Inf. Comput. 104(1), 2–34 (1993)
Alur, R., Dill, D.: A theory of timed automata. Theoretical Computer Science 126(2), 183–235 (1994)
Alur, R., Henzinger, T.A., Kupferman, O.: Alternating-time temporal logic. In: FOCS, pp. 100–109 (1997)
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)
Behrmann, G., Larsen, K.G., Rasmussen, J.I.: Optimal scheduling using priced timed automata. In: SIGMETRICS Performance Evaluation Review (2005)
Bengtsson, J.E., Yi, W.: Timed automata: Semantics, algorithms and tools. In: Desel, J., Reisig, W., Rozenberg, G. (eds.) Lectures on Concurrency and Petri Nets. LNCS, vol. 2004, pp. 87–124. Springer, Heidelberg (2004)
Bozga, M., Daws, C., Maler, O., Olivero, A., Tripakis, S., Yovine, S.: Kronos: a model-checking tool for real-time systems. In: Vardi, M.Y. (ed.) CAV 1998. LNCS, vol. 1427, pp. 546–550. Springer, Heidelberg (1998)
Cassez, F., David, A., Fleury, E., Larsen, K.G., Lime, D.: Efficient on-the-fly algorithms for the analysis of timed games. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 66–80. Springer, Heidelberg (2005)
Cerans, K.: Decidability of bisimulation equivalences for parallel timer processes. In: Probst, D.K., von Bochmann, G. (eds.) CAV 1992. LNCS, vol. 663, pp. 302–315. Springer, Heidelberg (1993)
Cerans, K., Godskesen, J.C., Larsen, K.G.: Timed modal specification – theory and tools. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 253–267. Springer, Heidelberg (1993)
Chatain, T., David, A., Larsen, K.G.: Playing games with timed games. Research Report LSV-08-34, Laboratoire Spécification et Vérification, ENS Cachan, France, 15 pages (December 2008)
Cassez, F., David, A., Larsen, K.G., Lime, D., Raskin, J.-F.: Timed control with observation based and stuttering invariant strategies. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds.) ATVA 2007. LNCS, vol. 4762, pp. 192–206. Springer, Heidelberg (2007)
de Alfaro, L., Faella, M., Henzinger, T.A., Majumdar, R., Stoelinga, M.: The element of surprise in timed games. In: Amadio, R.M., Lugiez, D. (eds.) CONCUR 2003. LNCS, vol. 2761, pp. 144–158. Springer, Heidelberg (2003)
Etessami, K., Wilke, T., Schuller, R.A.: Fair simulation relations, parity games, and state space reduction for buchi automata. SIAM Journal on Computing 34, 1159–1175 (2001)
Jensen, H.E., Larsen, K.G., Skou, A.: Scaling up Uppaal automatic verification of real-time systems using compositionality and abstraction. In: Joseph, M. (ed.) FTRTFT 2000. LNCS, vol. 1926, pp. 19–30. Springer, Heidelberg (2000)
Jessen, J.J., Rasmussen, J.I., Larsen, K.G., David, A.: Guided controller synthesis for climate controller using uppaal tiga. In: Raskin, J.-F., Thiagarajan, P.S. (eds.) FORMATS 2007. LNCS, vol. 4763, pp. 227–240. Springer, Heidelberg (2007)
Larsen, K.G., Pettersson, P., Yi, W.: Uppaal in a nutshell. Journal of Software Tools for Technology Transfer (STTT) 1(1-2), 134–152 (1997)
Maler, O., Pnueli, A., Sifakis, J.: On the synthesis of discrete controllers for timed systems. In: Mayr, E.W., Puech, C. (eds.) STACS 1995. LNCS, vol. 900, pp. 229–242. Springer, Heidelberg (1995)
van Glabbeek, R.J., Weijland, W.P.: Branching time and abstraction in bisimulation semantics. J. ACM 43(3), 555–600 (1996)
Weise, C., Lenzkes, D.: Efficient scaling-invariant checking of timed bisimulation. In: Reischuk, R., Morvan, M. (eds.) STACS 1997. LNCS, vol. 1200, pp. 177–188. Springer, Heidelberg (1997)
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Bulychev, P., Chatain, T., David, A., Larsen, K.G. (2009). Efficient on-the-fly Algorithm for Checking Alternating Timed Simulation. In: Ouaknine, J., Vaandrager, F.W. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2009. Lecture Notes in Computer Science, vol 5813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04368-0_8
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