Verifying Asynchronous Event-Driven Programs Using Partial Abstract Transformers

TL;DR: It is shown experimentally that the sequence of abstractions often converges fully automatically, in hard cases with minimal designer support in the form of sequentially provable invariants, and that this happens for a value of k_max small enough to allow the method to succeed in practice.

Abstract: We address the problem of analyzing asynchronous event-driven programs, in which concurrent agents communicate via unbounded message queues. The safety verification problem for such programs is undecidable. We present in this paper a technique that combines queue-bounded exploration with a convergence test: if the sequence of certain abstractions of the reachable states, for increasing queue bounds k, converges, we can prove any property of the program that is preserved by the abstraction. If the abstract state space is finite, convergence is guaranteed; the challenge is to catch the point \(k_{\max }\) where it happens. We further demonstrate how simple invariants formulated over the concrete domain can be used to eliminate spurious abstract states, which otherwise prevent the sequence from converging. We have implemented our technique for the P programming language for event-driven programs. We show experimentally that the sequence of abstractions often converges fully automatically, in hard cases with minimal designer support in the form of sequentially provable invariants, and that this happens for a value of \(k_{\max }\) small enough to allow the method to succeed in practice.