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Hybrid automata are a natural framework for modeling and analyzing systemswhich exhibit a mixed discrete continuous behaviour. However, the standardoperational semantics defined over such models implicitly assume perfectknowledge of the real systems and infinite precision measurements. Suchassumptions are not only unrealistic, but often lead to the construction ofmisleading models. For these reasons we believe that it is necessary tointroduce more flexible semantics able to manage with noise, partialinformation, and finite precision instruments. In particular, in this paper weintegrate in a single framework based on approximated semantics different overand under-approximation techniques for hybrid automata. Our framework allows toboth compare, mix, and generalize such techniques obtaining differentapproximated reachability algorithms.

Approximated Symbolic Computations over Hybrid Automata