Action refinement for real-time concurrent processes with urgency

Action refinement for real-time concurrent processes with urgent interactions is studied, where a partial-order setting, i.e., timed bundle event structures, is used as the system model and a real-time LOTOS-like process algebra is used as the specification language. It is shown that the proposed refinement approaches have the commonly expected properties: (1) the behaviour of the refined process can be inferred compositionally from the behaviour of the original process and from the behaviour of the processes substituted for actions; (2) the timed extensions of pomset (partially ordered multiset) trace equivalence and history preserving bisimulation equivalence are both congruences under the refinement; (3) the syntactic and semantic refinements coincide up to the aforementioned equivalence relations with respect to a cpo-based denotational semantics.