Higher Dimensional Transition Systems

Cattani, G.L. and Sassone, V. (1996) Higher Dimensional Transition Systems. In, 11th Symposium of Logics in Computer Science, LICS '96. IEEE Press, 55-62.


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We introduce the notion of higher dimensional transition systems as a model of concurrency providing an elementary, set-theoretic formalisation of the idea of higher dimensional transition. We show an embedding of the category of higher dimensional transition systems into that of higher dimensional automata which cuts down to an equivalence when we restrict to non-degenerate automata. Moreover, we prove that the natural notion of bisimulation for such structures is a generalisation of the strong history preserving bisimulation, and provide an abstract categorical account of it via open maps. Finally, we define a notion of unfolding for higher dimensional transition systems and characterise the structures so obtained as a generalisation of event structures.

Item Type: Conference or Workshop Item (Paper)
Keywords: higher dimensional automata, algebraic topology, true concurrency, models for concurrency
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Web & Internet Science
ePrint ID: 261954
Accepted Date and Publication Date:
Date Deposited: 12 Feb 2006
Last Modified: 31 Mar 2016 14:04
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/261954

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