Bialgebraic Modelling of Timed Processes

  • Authors:
  • Marco Kick

  • Affiliations:
  • -

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

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Abstract

We give an abstract axiomatic account of timed processes using monoids and their (partial and total) actions. Subsequently, we present categorical formulations thereof, including a novel characterisation of partial monoid actions as coalgebras for an evolution comonad. Adapting the approach of Turi and Plotkin [24], we then exhibit an abstract theory of well-behaved operational rules suitable for timed processes and, for discrete time, also derive a concrete syntactic format encompassing all rules we found in the literature.