Automatic Verification of Hybrid Systems with Large Discrete State Space

We address the problem of model checking hybrid systems which exhibit nontrivial discrete behavior and thus cannot be treated by considering the discrete states one by one, as most currently available verification tools do. Our procedure relies on a deep integration of several techniques and tools. A first-order extension of AND-Inverter-Graphs (AIGs) serves as a compact representation format for sets of configurations which are composed of continuous regions and discrete states. Boolean reasoning on the AIGs is complemented by first-order reasoning in various forms and on various levels. These include subsumption checks for simple constraints, test vector generation for fast inequality checks of boolean combinations of constraints, and an exact implication check. These techniques are integrated within a model checker for universal CTL. Technically, it deals with discrete-time hybrid systems with linear differentials. The paper presents the approach, the architecture of a prototype imp...

• Type: Conference
• Year: 2006
• Where: ATVA
• Authors: Werner Damm, Stefan Disch, Hardi Hungar, Jun Pang, Florian Pigorsch, Christoph Scholl, Uwe Waldmann, Boris Wirtz
• Keywords: ATVA 2006, Discrete States, Hardware, Hybrid Systems, Nontrivial Discrete Behavior