Compositional Reasoning for Shared-variable Concurrent Programs

Scalable and automatic formal verification for concurrent systems is always demanding, but yet to be developed. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our framework models concurrent programs as succinct automata and supports the verification of multiple important properties. Safety verification and simulations of succinct automata are parallel compositional, and safety properties of succinct automata are preserved under refinements. Formal verification of finite state succinct automata can be automated. Furthermore, we propose the first automated approach to checking rely-guarantee based simulations between infinite state concurrent programs. We have prototyped our algorithm and applied our tool to the verification of multiple refinements.