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Pré-Publication, Document De Travail Année : 2012

The Wadge Hierarchy of Petri Nets omega-Languages

Résumé

We describe the Wadge hierarchy of the omega-languages recognized by deterministic Petri nets. This is an extension of the celebrated Wagner hierarchy which turned out to be the Wadge hierarchy of the omega-regular languages. Petri nets are an improvement of automata. They may be defined as partially blind multi-counter automata. We show that the whole hierarchy has height $\omega^{\omega^2}$, and give a description of the restrictions of this hierarchy to some fixed number of partially blind counters.
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Dates et versions

hal-00743510 , version 1 (19-10-2012)
hal-00743510 , version 2 (05-04-2013)
hal-00743510 , version 3 (23-10-2014)

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  • HAL Id : hal-00743510 , version 1

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Jacques Duparc, Olivier Finkel, Jean-Pierre Ressayre. The Wadge Hierarchy of Petri Nets omega-Languages. 2012. ⟨hal-00743510v1⟩
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