Subanalytic Stratifications and Bisimulations

Decidability results for the verification of hybrid systems consist of constructing special finite state quotients called bisimulations whose properties are equivalent to those of the original infinite state system. This approach has had success in the case of timed automata and linear hybrid automata. In this paper, the powerful frameworks of stratification theory and subanalytic sets are presented and used in order to obtain bisimulations of certain analytic vector fields on analytic manifolds.