On the Topological Complexity of omega-Languages of Non-Deterministic Petri Nets

Abstract

We show that there are 30-complete languages of infinite words accepted by non-deterministic Petri nets with B\"uchi acceptance condition, or equivalently by B\"uchi blind counter automata. This shows that omega-languages accepted by non-deterministic Petri nets are topologically more complex than those accepted by deterministic Petri nets.

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