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Wadge Degrees of -Languages of Petri Nets
Olivier Finkel
We prove that -languages of (non-deterministic) Petri nets and -languages of (non-deterministic) Turing machines have the same topological complexity: the Borel and Wadge hie…
math.LO2017
Polishness of some topologies related to word or tree automata
Olivier Finkel, Olivier Carton, Dominique Lecomte
We prove that the Büchi topology and the automatic topology are Polish. We also show that this cannot be fully extended to the case of a space of infinite labelled binary trees; in…