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An Exercise in Processes with Infinite Pasts

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Application and Theory of Petri Nets

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 52))

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Abstract

We present some mathematical results on modelling processes with possibly infinite pasts. We intend the word “process” to be close in spirit to “real process” in [Pet] and “process” in [Bes]. They do not assume a process to have an initial state. As in [Nie], where an initial state was assumed, we work with event structures rather than causal nets. The event structures will be essentially causal nets without conditions.

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References

  1. Best, E. (1979) Aspects of occurrence nets. Advanced Course on General Net Theory of Processes and Systems, Lecture Notes in Computer Science, Springer-Verlag (to appear).

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  2. Nielsen, M., Plotkin, G.D. and Winskel, G. (1979) Petri nets, event structures and domains. Proc. of the Symposium on Semantics of Concurrent Computation (ed. G. Kahn) Lecture Notes in Computer Science, Vol. 70, Springer-Verlag.

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  3. Petri, C.A. (1976) Nichtsequentielle Prozesse, Arbeitsberichte des IMMD, Bd. 9, Heft. 8, Universität Erlangen-Nürnberg. Also: Non-sequential processes, Translation P. Krause and J. Low. Internal Report GMP-ISF-77-05, Bonn (1977).

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  4. Winskel, G. (1980) Events in computation. Ph.D. thesis, University of Edinburgh.

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© 1982 Springer-Verlag Berlin Heidelberg

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Winskel, G. (1982). An Exercise in Processes with Infinite Pasts. In: Girault, C., Reisig, W. (eds) Application and Theory of Petri Nets. Informatik-Fachberichte, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68353-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-68353-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11189-4

  • Online ISBN: 978-3-642-68353-4

  • eBook Packages: Springer Book Archive

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