Higher Dimensional Transition Systems

Cattani, G.L. and Sassone, V. (1996) Higher Dimensional Transition Systems At 11th Symposium of Logics in Computer Science, LICS '96.. , pp. 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)
Venue - Dates: 11th Symposium of Logics in Computer Science, LICS '96., 1996-01-01
Keywords: higher dimensional automata, algebraic topology, true concurrency, models for concurrency
Organisations: Web & Internet Science
ePrint ID: 261954
Date :
Date Event
Date Deposited: 12 Feb 2006
Last Modified: 17 Apr 2017 21:50
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/261954

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