Abstract

Model checking can be used to verify temporal properties of hybrid automata. However, model checking is not decidable in general. We overcome this difficulty by considering a durational graph abstraction, for which model checking is decidable. The contribution of this paper is to show that, given a hybrid automaton and the durational graph abstraction, there exists a simulation relation between the two systems. This approach allows checking properties such as safety, but also timing properties of hybrid automata. We apply our framework to a relevant case study in the context of air traffic management (ATM). For an extended version of this paper refer to [A. D'Innocenzo et al., 2007].

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