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arXiv · 2005.06285

Bisimulation Finiteness of Pushdown Systems Is Elementary

Stefan Göller·Paweł Parys
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Abstract

We show that in case a pushdown system is bisimulation equivalent to a finite system, there is already a bisimulation equivalent finite system whose size is elementarily bounded in the description size of the pushdown system. As a consequence we obtain that it is elementarily decidable if a given pushdown system is bisimulation equivalent to some finite system. This improves a previously best-known ACKERMANN upper bound for this problem.

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Stefan Göller, Paweł Parys. 2020-05-13. Bisimulation Finiteness of Pushdown Systems Is Elementary. https://arxiv.org/abs/2005.06285

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