Probabilistic Guarded Commands Mechanized in HOL

The mechanized theory also supports the creation of an automatic proof tool which takes as input an annotated pGCL program and its partial correctness specification, and derives from that a sufficient set of verification conditions. This is employed to verify the partial correctness of the probabilistic voting stage in Rabin's mutual-exclusion algorithm [Eyal Kushilevitz and Michael O. Rabin. Randomized mutual exclusion algorithms revisited. In Maurice Herlihy, editor, Proceedings of the 11th Annual Symposium on Principles of Distributed Computing, pages 275-283, Vancouver, BC, Canada, August 1992. ACM Press].