Model-Checking of Correctness Conditions for Concurrent Objects

Rajeev Alur, Kenneth L. McMillan, and Doron A. Peled

The notions of serializability, linearizability and sequential consistency are used in the specification of concurrent systems. We show that the model checking problem for each of these properties can be cast in terms of the containment of one regular language in another regular language shuffled using a semi-commutative alphabet. The three model checking problems are shown to be, respectively, in {\sc Pspace}, in {\sc Expspace}, and undecidable.

Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science (LICS 1996), pp. 219-228.