Thiagarajan's finite 1-safe Petri-net characterization conjecture

Let E{\mathcal E} be an event structure, and let EN{\mathcal E}_N denote the event-structure unfolding arising from a finite 1-safe Petri net NN. Thiagarajan's finite 1-safe Petri-net conjecture. An event structure E{\mathcal E} is isomorphic to EN{\mathcal E}_N for some finite 1-safe Petri net NN if and only if E{\mathcal E} is regular. The supplied text does not state whether this conjecture has been resolved.

Sources & referencesView supporting material

Primary source

Jérémie Chalopin and Victor Chepoi, “1-Safe Petri nets and special cube complexes: equivalence and applications”, arXiv:1810.03395 (2019).

Additional references

2 papers in this index state this conjecture (2016–2018). The statement above is taken from the most recent of them; the others are arXiv:1605.08288.

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