A Partition Refinement Algorithm for the π-Calculus

The partition refinement algorithm is the basis for most of the tools for checking bisimulation equivalences and for computing minimal realisations of CCS-like finite state processes. In this paper, we present a partition refinement algorithm for the π-calculus, a development of CCS where channel names can be communicated. It can be used to check bisimilarity and to compute minimal realisations of finite control processes—the π-calculus counterpart of CCS finite state processes. The algorithm is developed for strong open bisimulation and can be adapted to late and early bisimulations, as well as to weak bisimulations. To arrive at the algorithm, a few laws, proof techniques, and four characterizations of open bisimulation are proved.