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Paper Details

A Denotational Study of Mobility

Authors: Bialkiewicz, Joël-Alexis, Peschanski, Frederic


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.


Communicating Process Architectures 2009, Peter H. Welch, Herman Roebbers, Jan F. Broenink, Frederick R. M. Barnes, Carl G. Ritson, Adam T. Sampson, G. S. Stiles, Brian Vinter, 2009, pp 239 - 261 published by IOS Press, Amsterdam

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