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Presheaf Models Concurrency (1999)  (Make Corrections)  (58 citations)
Gian Luca Cattani
CSL



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Abstract: In this dissertation we investigate presheaf models for concurrent computation. Our aim is to provide a systematic treatment of bisimulation for a wide range of concurrent process calculi. Bisimilarity is defined abstractly in terms of open maps as in the work of Joyal, Nielsen and Winskel. Their work inspired this thesis by suggesting that presheaf categories could provide abstract models for concurrency with a built-in notion of bisimulation. (Update)

Cited by:   More
Models for Name-Passing Processes: Interleaving and Causal.. - Cattani, Sewell (2000)   (Correct)
A Formal Calculus for Categories - Caccamo (2003)   (Correct)
Domain Theory for Concurrency - Nygaard (2003)   (Correct)

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1.8:   A Theory of Recursive Domains with Applications to Concurrency .. - Cattani, al.   (Correct)
1.2:   A Theory of Recursive Domains with Applications to Concurrency - Cattani, Fiore, Winskel (1997)   (Correct)
1.1:   Presheaf Models for CCS-like Languages - Cattani, Winskel (1999)   (Correct)

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40:   Information and Computation (context) - Joyal, Nielsen et al. - 1996
39:   Models for Concurrency - Nielsen, Winskel - 1994
32:   Categories for the Working Mathematician (context) - Lane - 1971

BibTeX entry:   (Update)

G. L. Cattani and G. Winskel. Presheaf models for concurrency. In CSL'96, volume 1258 of LNCS, pages 58--75. Springer, 1997. http://citeseer.ist.psu.edu/article/cattani99presheaf.html   More

@inproceedings{ cattani96presheaf,
    author = "Gian Luca Cattani and Glynn Winskel",
    title = "Presheaf Models for Concurrency",
    booktitle = "{CSL}",
    pages = "58-75",
    year = "1996",
    url = "citeseer.ist.psu.edu/article/cattani99presheaf.html" }
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