ACTL for Modal Interface Automata

In previous work, we developed Modal Interface Automata (MIA), an interface theory combining the input/output behaviour of de Alfaro and Henzinger's Interface Automata with the modalities of Larsen's Modal Transition Systems and featuring a conjunction on MIAs. In this paper, we add a temporal logics to MIA based on De Nicola's ACTL. We show how to translate the logical operators to operators on MIAs such that a MIA satisfies a temporal formula if and only if it refines the translation of the formula. This way, MIAs allow heterogeneous specifications with a variety of operational and logical connectives.