All for the Price of Few (Parameterized Verification through View Abstraction)

parameterized verification, communication protocols, well-quasi ordered systems, abstraction, cutoff

We present a simple and efficient framework for automatic verification of systems with parameteric number of communicating processes. The processes may be organized in various topologies such words, multisets, rings, or trees. Our method needs to inspect only a small number of processes in order to show correctness of the whole system. It relies on an abstraction function that views the system from the perspective of a fixed number of processes. The abstraction is used during the verification procedure in order to dynamically detect cut-off points beyond which the search of the state space need not continue. We show that the method is complete for a large subclass of well quasi-ordered systems including Petri nets. Our experimentation on a variety of benchmarks demonstrate that the method is highly efficient and that it works well even for classes of systems with undecidable verification problem.