@InProceedings{BialkiewiczPeschanski09, title = "{A} {D}enotational {S}tudy of {M}obility", author= "Bialkiewicz, Joël-Alexis and Peschanski, Frederic", editor= "Welch, Peter H. and Roebbers, Herman and Broenink, Jan F. and Barnes, Frederick R. M. and Ritson, Carl G. and Sampson, Adam T. and Stiles, G. S. and Vinter, Brian", pages = "239--261", booktitle= "{C}ommunicating {P}rocess {A}rchitectures 2009", isbn= "978-1-60750-065-0", year= "2009", month= "nov", abstract= "This paper introduces a denotational model and refinement theory for a process algebra with mobile channels. Similarly to CSP, process behaviours are recorded as trace sets. To account for branching-time semantics, the traces are decorated by structured locations that are also used to encode the dynamics of channel mobility in a denotational way. We present an original notion of split-equivalence based on elementary trace transformations. It is first characterised coinductively using the notion of split-relation. Building on the principle of trace normalisation, a more denotational characterisation is also proposed. We then exhibit a preorder underlying this equivalence and motivate its use as a proper refinement operator. At the language level, we show refinement to be tightly related to a construct of delayed sums, a generalisation of non-deterministic choices." }