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arXiv · 2207.04362

Abstract Processes in the Absence of Conflicts in General Place/Transition Systems

Rob van Glabbeek·Ursula Goltz·Jens-Wolfhard Schicke-Uffmann
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Abstract

Goltz and Reisig generalised Petri's concept of processes of one-safe Petri nets to general nets where places carry multiple tokens. BD-processes are equivalence classes of Goltz-Reisig processes connected through the swapping transformation of Best and Devillers; they can be considered as an alternative representation of runs of nets. Here we present an order respecting bijection between the BD-processes and the FS-processes of a countable net, the latter being defined -- in an analogous way -- as equivalence classes of firing sequences. Using this, we show that a countable net without binary conflicts has a (unique) largest BD-process.

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Rob van Glabbeek, Ursula Goltz, Jens-Wolfhard Schicke-Uffmann. 2022-07-10. Abstract Processes in the Absence of Conflicts in General Place/Transition Systems. https://doi.org/10.1016/j.ic.2022.104939

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