Typed polyadic pi-calculus in bigraphs

  • Authors:
  • Mikkel Bundgaard;Vladimiro Sassone

  • Affiliations:
  • IT University of Copenhagen;University of Southampton

  • Venue:
  • Proceedings of the 8th ACM SIGPLAN international conference on Principles and practice of declarative programming
  • Year:
  • 2006

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Abstract

Bigraphs have been introduced with the aim to provide a topographical meta-model for mobile, distributed agents that can manipulate their own communication links and nested locations. In this paper we examine a presentation of type systems on bigraphical systems using the notion of sorting. We focus our attention on the typed polyadic π-calculus with capability types à la Pierce and Sangiorgi, which we represent using a novel kind of link sorting called subsorting. Using the theory of relative pushouts we derive a labelled transition system which yield a coinductive characterisation of a behavioural congruence for the calculus. The results obtained in this paper constitute a promising foundation for the presentation of various type systems for the (polyadic) π-calculus as sortings in the setting of bigraphs