Abstraction Re?nement for Non-Zeno Fairness Veri?cation of Linear Hybrid Automata

Linear hybrid automaton is a specification language for hybrid systems. For verification of hybrid systems, it is important to check fairness assumptions. For example, an embedded system keeps running forever when it starts to move by turning on the switch. Such a system has to be checked not only system safety but also fairness and non-Zenoness. The state space explosion is a fundamental problem in model checking, since it is a method that performs an exhaustive search of states. To avoid state space explosion problem in model checking, CEGAR (Counter Example Guided Abstraction Re?nement) is an effective technique. In this paper, we propose transition predicate abstraction and CEGAR verification algorithm for linear hybrid automata.