Formalising concurrent UML state machines using coloured Petri nets

Abstract

Abstract With the increasing complexity of dynamic concurrent systems, a phase of formal specification and formal verification is needed. UML state machines are widely used to specify dynamic systems behaviours. However, the official semantics of UML is described in a semi-formal manner, which renders the formal verification of complex systems delicate. In this paper, we propose a formalisation of UML state machines using coloured Petri nets. We consider in particular concurrent aspects (orthogonal regions, forks, joins, variables), the hierarchy induced by composite states and their associated activities, external, local or inter-level transitions, entry/exit/do behaviours, transition priorities, and shallow history pseudostates. We use a CD player as a motivating example, and run various verifications using CPN Tools.