Hybrid Automata-Based CEGAR for Rectangular Hybrid Systems

Pavithra Prabhakar, Parasara Sridhar Duggirala, Sayan Mitra and Mahesh Viswanathan

In this paper, we present a counterexample guided abstraction re- finement (CEGAR) framework for systems modelled as rectangular hybrid automata. The main difference, between our approach and previous proposals for CEGAR for hybrid automata, is that we consider the abstractions to be hybrid automata as well, as opposed to finite state systems. We show that the CEGAR scheme is semi-complete for the class of rectangular hybrid automata and complete for the subclass of initialized rectangular automata. We have im- plemented the CEGAR based algorithm in a tool called Hare, that makes calls to HyTech to analyze the abstract models and validate the counterexamples. The experimental evaluations demonstrate the merits of the approach.

Formal Methods in System Design (FMSD), 2015
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