Compositional equivalences based on Open pNets.

This article defines bisimulation relations for the comparison of systems specified as pNets. We first define a strong bisimulation for open pNets. In practice, as happens in process algebras, strong bisimulation is too strong, and we need to define some coarser relations, taking into account invisible or internal moves. We then define an equivalence relation similar to the classical \emph{weak bisimulation}, and study its properties. Among these properties we are interested in compositionality: If two systems are proven equivalent they will be undistinguishable by their context, and they will also be undistinguishable when their holes are filled with equivalent systems. The article is illustrated with a transport protocol running example; it shows the characteristics of our formalism and our bisimulation relations.