Abstract
A category of event structures with symmetry is introduced and its categorical properties investigated. Applications to the event-structure semantics of higher order processes, nondeterministic dataflow and the unfolding of higher-dimensional automata and Petri nets with multiple tokens are indicated.
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References
Abramsky, S., Jagadeesan, R., Malacaria, P.: Full Abstraction for PCF. Information and Computation 163, 409–470 (2000)
Berry, G.: Modèles completement adéquats et stables des λ-calculs typés. Thèse de Doctorat d’Etat, Université de Paris VII (1979)
Burroni, A.: T-catégories. Cahiers de topologie et géométrie différentielle, XII(3) (1971)
Cattani, G.L., Winskel, G.: Profunctors, open maps and bisimulation. In: MSCS (2005)
Cheng, E., Hyland, J.M.E., Power, A.J.: Pseudo-distributive laws. ENTCS 83 (2004)
Crazzolara, F., Winskel, G.: Composing Strand Spaces. In: Agrawal, M., Seth, A.K. (eds.) FST TCS 2002: Foundations of Software Technology and Theoretical Computer Science. LNCS, vol. 2556, Springer, Heidelberg (2002)
van Glabbeek, R.J.: On the expressiveness of higher dimensional automata. EXPRESS 2004. ENTCSÂ 128(2) (2005)
Doghmi, S.F., Guttman, J.D., Thayer, F.J.: Searching for shapes in cryptographic protocols. In: TACAS 2007 (2007)
Hayman, J., Winskel, G.: The unfolding of general Petri nets. Forthcoming.
Johnstone, P.: Sketches of an elephant, a topos theory compendium, vol.1. OUP (2002)
Joyal, A., Nielsen, M., Winskel, G.: Bisimulation from open maps. LICS ’93 special issue of Information and Computation 127(2), 164–185 (1996) Available as BRICS report, RS-94-7
Kahn, G., Plotkin, G.D.: Concrete domains. TCS 121(1& 2), 187–277 (1993)
Koslowski, J.: A monadic approach to polycategories. Theory and Applications of Categories 14(7), 125–156 (2005)
Mac Lane, S.: Categories for the Working Mathematician. Springer, Heidelberg (1971)
Nielsen, M., Plotkin, G.D., Winskel, G.: Petri nets, event structures and domains. TCS 13(1), 85–108 (1981)
Nygaard, M.: Domain theory for concurrency. PhD Thesis, University of Aarhus (2003)
Nygaard, M., Winskel, G.: Domain theory for concurrency. TCS 316, 153–190 (2004)
Power, A.J.: 2-Categories. BRICS Lecture Notes, Aarhus University (March 1998)
Saunders-Evans, L., Winskel, G.: Event structure spans for non-deterministic dataflow. In: Proc. Express 2006, ENTCS (2006)
Saunders-Evans, L.: Events with persistence. Forthcoming PhD thesis, University of Cambridge Computer Laboratory (2007)
Winskel, G., Nielsen, M.: Models for Concurrency. Handbook of Logic and the Foundations of Computer Science 4, 1–148 OUP (1995)
Winskel, G.: Events in Computation. PhD thesis, Univ. of Edinburgh (1980), Available from http://www.cl.cam.ac.uk/users/gw104
Winskel, G.: Event structure semantics of CCS and related languages. In: Nielsen, M., Schmidt, E.M. (eds.) Automata, Languages, and Programming. LNCS, vol. 140, Springer, Heidelberg (1982), http://www.cl.cam.ac.uk/users/gw104
Winskel, G.: A new definition of morphism on Petri Nets. In: STACS 1984: pp. 140–150 (1984)
Winskel, G.: Event structures. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) Advances in Petri Nets 1986. Proceedings of an Advanced Course. LNCS, vol. 255, Springer, Heidelberg (1987)
Winskel, G.: An introduction to event structures. In: de Bakker, J.W., de Roever, W.-P., Rozenberg, G. (eds.) Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency. LNCS, vol. 354, Springer, Heidelberg (1989)
Winskel, G.: Event structures as presheaves—two representation theorems. In: Baeten, J.C.M., Mauw, S. (eds.) CONCUR 1999. LNCS, vol. 1664, Springer, Heidelberg (1999)
Winskel, G.: Relations in concurrency. In: Invited talk, LICS 2005 (2005)
Winskel, G.: Event structures with symmetry. In: the Plotkin Festschrift. ENTCS 172 (2007), See http://www.cl.cam.ac.uk/users/gw104 for corrections
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Winskel, G. (2007). Symmetry and Concurrency . In: Mossakowski, T., Montanari, U., Haveraaen, M. (eds) Algebra and Coalgebra in Computer Science. CALCO 2007. Lecture Notes in Computer Science, vol 4624. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73859-6_4
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DOI: https://doi.org/10.1007/978-3-540-73859-6_4
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