%0 Journal Article %@ 0960-1295 %A De Nicola, Rocco %A Loreti, Michele %D 2008 %F eprints:283 %I Cambridge University Press %J Mathematical Structures in Computer Science %N 1 %P 107-143 %T Multiple-Labelled Transition Systems for nominal calculi and their logics %U http://eprints.imtlucca.it/283/ %V 18 %X Action-labelled transition systems (LTSs) have proved to be a fundamental model for describing and proving properties of concurrent systems. In this paper we introduce Multiple-Labelled Transition Systems (MLTSs) as generalisations of LTSs that enable us to deal with system features that are becoming increasingly important when considering languages and models for network-aware programming. MLTSs enable us to describe not only the actions that systems can perform but also their usage of resources and their handling (creation, revelation . . .) of names; these are essential for modelling changing evaluation environments. We also introduce MoMo, which is a logic inspired by Hennessy–Milner Logic and the μ-calculus, that enables us to consider state properties in a distributed environment and the impact of actions and movements over the different sites. MoMo operators are interpreted over MLTSs and both MLTSs and MoMo are used to provide a semantic framework to describe two basic calculi for mobile computing, namely μKlaim and the asynchronous π-calculus.