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Generalized Inverses and the Calculation of Symbolic Invariants for Coloured Petri Nets

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High-level Petri Nets

Summary

Coloured Petri Nets permit construction of more compact models than do generalized Petri Nets. In coloured Petri Nets the real parallelism can be considerable which leads to large sets of reachable markings. To analyse coloured Nets, the method of linear invariants of markings has been used successfully. In this paper, we present a systematic method for calculating symbolic invariants of a coloured Petri Net that is to say, invariant relations in terms of place markings, of functions associated to the arcs of the coloured net and, eventually, of generalised inverses of these functions.

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Bibliographie

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© 1991 Springer-Verlag Berlin Heidelberg

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Silva, M., Martinez, J., Ladet, P., Alla, H. (1991). Generalized Inverses and the Calculation of Symbolic Invariants for Coloured Petri Nets. In: Jensen, K., Rozenberg, G. (eds) High-level Petri Nets. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84524-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-84524-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54125-7

  • Online ISBN: 978-3-642-84524-6

  • eBook Packages: Springer Book Archive

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