Games-Based Model Checking of Protocols: counting doesn't count

Tim Kempster, Colin Stirling and Peter Thanisch
University of Edinburgh, Scotland, UK

Abstract

We introduce a technique that can be used to model the behaviour of protocols. In our model each process within a protocol belongs to a particular class. A set of rules governs the behaviour of a process within a process class. The rules give rise to a transition system that models the behaviour of the protocol. By exploiting the homogeneous behavior of a process within a particular class it is possible to model the behaviour of an unbounded number of processes in a way that results in a finite (and in most cases small) transition system. We demonstrate this technique by modeling the popular two-phase commit protocol. CTL properties can be model checked in the resulting transition system using a games based model checking algorithm. This technique has the advantage that the entire transition system need not always be generated. Furthermore, it provides evidence to verify or refute the property being checked. Using the two­ phase commit example, we check some elementary proper­ ties.
Keywords: model checking, games, unbounded number of processes, protocols