A Compositional Approach to the Verification of Hybrid Systems.

The increase of complexity in modelling systems and the chances of success when model-checking them tend to be inversely proportional. This mere observation justifies plainly the need to investigate alternative ways for verification. In this paper we present such an alternative which uses a compositional verification rule. The basic idea is to automatically compute local properties and combine them such that together they are strong enough to prove global safety properties of systems. In [2] we showed how such a rule works in the framework of timed systems with a fixed number of components and in [3] how the whole approach can be extended to the parameterised case. The application of the compositional verification rule can be pushed even further with respect to two directions: 1 hybrid and 2 parametric systems. This is the subject of the present paper.