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Homology of Higher Dimensional Automata (1992)  (Make Corrections)  (42 citations)
Eric Goubault, Thomas P. Jensen
International Conference on Concurrency Theory



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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)

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.... 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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0.1:   Domains of Higher-Dimensional Automata - Goubault (1993)   (Correct)
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0.2:   Higher Dimensional Automata Revisited - Vaughan Pratt Department (2000)   (Correct)
0.1:   Topological Antidotes To The State Space Explosion Problem - Raußen   (Correct)
0.1:   The Dynamics of Wait-Free Distributed Computations - Goubault (1996)   (Correct)

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25:   Modeling concurrency with geometry - Pratt - 1991
16:   Higher Dimensional Transition Systems - CATTANI, SASSONE - 1996
15:   Categories of Asynchronous Systems (context) - BEDNARCZYK - 1988

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



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Documents on the same site (http://www.irisa.fr/lande/jensen/JENSENpapers.html):   More
Clock Analysis of Synchronous Dataflow Programs - Jensen (1995)   (Correct)
Flow Analysis in the Geometry of Interaction - Jensen, Mackie (1996)   (Correct)
Strictness Analysis in Logical Form - Jensen (1991)   (Correct)

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