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Exploiting local persistency for reduced state-space generation


This paper deals with two partial order techniques for Petri nets (PN in short): persistent sets and step graphs. These techniques aim to reduce the width and the depth of the marking graphs of PN, respectively, while preserving their deadlocks. To achieve more reductions while preserving the deadlocks of PN, this paper revisits the definition of persistent sets and establishes some weaker practical sufficient conditions. It also proposes a combination of persistent sets with steps as a sort of Cartesian product of persistent sets. This combination provides a means of better controlling the length and the number of steps, while still preserving deadlocks.

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    A strong/weak-persistent selective search from a marking M is a procedure that recursively computes a weak-persistent set and the successor markings reachable by each transition of this set, for M and each new computed marking [19].

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    The notation \(\mu _i \models D0 \wedge D1 \wedge D2\) means that \(\mu _i\) satisfies the conditions D0, D1 and D2.

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    There is a directed path between every two nodes (places or transitions) of the Petri net.


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Barkaoui, K., Boucheneb, H. & Li, Z. Exploiting local persistency for reduced state-space generation. Innovations Syst Softw Eng 16, 181–197 (2020).

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  • Petri nets
  • Reachability analysis
  • State explosion problem
  • Persistent sets
  • Partial order techniques
  • Step graphs