Deadlock Behaviour in Split and ST Bisimulation Semantics

We investigate split and ST bisimulation semantics, in particular the deadlock behaviour of processes in these semantics. We define and axiomatise a variant of ACP, where atomic actions and durational actions coexist, and define split and ST bisimulation semantics on this theory. We exhibit a closed term that has a deadlock in split semantics, but not in ST bisimulation semantics, and vice versa: a closed term that has a deadlock in ST bisimulation semantics but not in split semantics. As an application, we investigate different versions of durational communication.