A category of higher-dimensional automata

  • Authors:
  • Ulrich Fahrenberg

  • Affiliations:
  • Dept. of Mathematical Sciences, Aalborg University, Denmark

  • Venue:
  • FOSSACS'05 Proceedings of the 8th international conference on Foundations of Software Science and Computation Structures
  • Year:
  • 2005

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Abstract

We show how parallel composition of higher-dimensional automata (HDA) can be expressed categorically in the spirit of Winskel & Nielsen. Employing the notion of computation path introduced by van Glabbeek, we define a new notion of bisimulation of HDA using open maps. We derive a connection between computation paths and carrier sequences of dipaths and show that bisimilarity of HDA can be decided by the use of geometric techniques.