Model Checking Multirate Hybrid Systems with Dense Timed Interval Temporal Logic

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This paper investigates the model checking issue of multirate hybrid systems. To this end, multirate automata are used to represent the possible behavior of multirate hybrid systems, and a dense timed interval temporal logic (DTITL) is defined to describe the desirable property. To check whether a multirate automaton satisfies a DTITL formula, a corresponding region automaton and a propositional interval temporal logic (PITL) formula are constructed. After each vertex of the region automaton being labeled with propositions appearing in the corresponding PITL formula, the model checking problem for mutirate hybrid systems is reduced to the same issue for PITL, which can be solved readily.

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889-893

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September 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Haibin Zhang and Zhenhua Duan. Symbolic Algorithmic Analysis of Rectangular Hybrid Systems. Journal of Computer Science and Technology, 24(3): 531-543 (2009).

Google Scholar

[2] T.A. Henzinger, P.W. Kopke, Anuj Puri, and Pravin Varaiya. What's Decidable About Hybrid Automata? Journal of Computer and System Sciences. 57: 94-124 (1998).

DOI: 10.1006/jcss.1998.1581

Google Scholar

[3] B. Moskowski. Executing Temporal Logic. Cambridge University Press (1986).

Google Scholar

[4] M. Muller-Olm, D. Schmidt and B. Ateffen. Model-checking: a tutorial introduction, LNCS 1694, pp.330-354 (1999).

Google Scholar

[5] R. Alur, T.A. Henzinger, G. Lafferriere and G.J. Pappas. Discrete Abstractions of Hybrid Systems. Proceedings of the IEEE, 88(7): 971-984 (2000).

DOI: 10.1109/5.871304

Google Scholar

[6] A. Kapur, T. A. Henzinger, Z. Manna and A. Pnueli. Proving safety properties of hybrid systems, FTRTFT' 94, LNCS 863, p.431–454 (1994).

DOI: 10.1007/3-540-58468-4_177

Google Scholar

[7] Haibin Zhang and Zhenhua Duan. Symbolic Reachability Analysis of Hybrid Systems. Journal of Software, 19(12): 3111-3121 (2008).

DOI: 10.3724/sp.j.1001.2008.03111

Google Scholar