Homology of higher dimensional automata

  • Eric Goubault
  • Thomas P. Jensen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 630)


Higher dimensional automata can model concurrent computations. The topological structure of the higher dimensional automata determines certain properties of the concurrent computation. We introduce bicomplexes as an algebraic tool for describing these automata and develop a simple homology theory for higher dimensional automata. We then show how the homology of automata has applications in the study of branching-time equivalences of processes such as bisimulation.


Tensor Product Homology Group Finite Automaton Algebraic Topology Process Algebra 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Eric Goubault
    • 1
  • Thomas P. Jensen
    • 2
  1. 1.Ecole Normale SupérieureLIENSParis Cedex 05France
  2. 2.Dept. of ComputingImperial CollegeLondonUK

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