The Wadge Hierarchy of Petri Nets omega-Languages - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2014

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 more powerful devices than finite 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 partially blind multi-counter automata of some fixed positive number of counters.
Fichier principal
Vignette du fichier
Petri-Nets-revised.pdf (353.49 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Identifiants

  • HAL Id : hal-00743510 , version 2

Citer

Jacques Duparc, Olivier Finkel, Jean-Pierre Ressayre. The Wadge Hierarchy of Petri Nets omega-Languages. 2013. ⟨hal-00743510v2⟩
573 Consultations
452 Téléchargements

Partager

Gmail Facebook X LinkedIn More