(Enter summary)
Abstract: . 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.
1 Introduction
Geometry has ... (Update)
Context of citations to this paper: More
.... e.g. transition systems enriched with additional features that make expressing concurrency explicitly possible (cf. e.g. [111, 130, 50, 51, 133, 20]) An important motivation is to find models suitable for giving structural operational semantics to e.g. process calculi that...
.... clarifying the relationship between our approach and the closely related work of Goubault and others on higher dimensional automata [44, 43, 45, 29]. 9.2. FURTHER RESEARCH 221 9.2.2 Higher order process languages As we saw in Chapter 8, the monoidal closed structure (or even...
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BibTeX entry: (Update)
E. GOUBAULT AND T. JENSEN, Homology of Higher-Dimensional Automata, Proceedings of CONCUR '92, W.R. Cleaveland (Ed.), LNCS 630 (1992), Springer-Verlag, 254--268. http://citeseer.ist.psu.edu/goubault92homology.html More
@inproceedings{ goubault92homology,
author = "Eric Goubault and Thomas P. Jensen",
title = "Homology of Higher Dimensional Automata",
booktitle = "International Conference on Concurrency Theory",
pages = "254-268",
year = "1992",
url = "citeseer.ist.psu.edu/goubault92homology.html" }
Citations (may not include all citations):
1933
Communication and Concurrency (context) - Milner - 1989 ACM
1911
Introduction to Automata Theory (context) - Hopcroft, Ullman - 1979
562
Categories for the working mathematician (context) - Lane - 1971
54
Modeling concurrency with geometry
- Pratt - 1991 ACM DBLP
14
Bisimulation semantics for higher dimensional automata (context) - van Glabbeek - 1990
12
Church-rosser property and homology of monoids (context) - Lafont, Prout'e - 1990 DBLP
6
Homology and cohomology theory (context) - Massey - 1978
1
Journal de l'Ecole Polytechnique (context) - Poincar'e
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.irisa.fr/lande/jensen/JENSENpapers.html): More
Clock Analysis of Synchronous Dataflow Programs - Jensen (1995)
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Flow Analysis in the Geometry of Interaction - Jensen, Mackie (1996)
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Strictness Analysis in Logical Form - Jensen (1991)
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