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We describe the Wadge hierarchy of the ω-languages recognized by determin-istic Petri nets. This is an extension of the celebrated Wagner hierarchy which turned out to be the Wadge hierarchy of the ω-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… (More)

We construct models of the integers, to yield: witnessing, independence and separation results for weak systems of bounded induction.

We consider the set R ω (Γ, D) of infinite real traces, over a dependence alphabet (Γ, D) with no isolated letter, equipped with the topology induced by the prefix metric. We then prove that all rational languages of infinite real traces are analytic sets. We reprove also that there exist some rational languages of infinite real traces which are analytic… (More)

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