Theoretical Computer Science
Logic: from foundations to applications
A New Class of Decidable Hybrid Systems
HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
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We introduce the notion of a parametrized family (H)p)p∈P of hybrid systems, and consider questions of reachability in the systems Hp as the parameter p ranges over P. Under the assumption of a uniform (as p ranges over P) finite bound on the number of discrete transitions associated to the individual systems Hp, the notion of reachability is first-order (in the sense of mathematical logic) and uniform in the parameter p. Techniques from logic can then be used to analyze computational questions associated to the family of systems.