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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Description/Abstract
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 and Applied Science > Electronics and Computer Science > Web & Internet Science |
| Item ID: | 261954 |
| Date Deposited: | 12 Feb 2006 |
| Last Modified: | 09 Aug 2012 23:55 |
| Contributors: | Cattani, G.L. (Author) Sassone, V. (Author) |
| Date: | 1996 |
| Status: | Published |
| Publisher: | IEEE Press |
| Further Information: | Google Scholar |
| ISI Citation Count: | 3 |
| URI: | http://eprints.soton.ac.uk/id/eprint/261954 |
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