English

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

Logic in Computer Science 2014-01-28 v1 Computational Complexity Formal Languages and Automata Theory

Abstract

We show that there are Σ30\Sigma_3^0-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.

Keywords

Cite

@article{arxiv.1401.6835,
  title  = {On the Topological Complexity of omega-Languages of Non-Deterministic Petri Nets},
  author = {Olivier Finkel and Michał Skrzypczak},
  journal= {arXiv preprint arXiv:1401.6835},
  year   = {2014}
}