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arXiv · 2306.05710

Reachability in 3-VASS is in Tower

Qizhe Yang·Yuxi Fu
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Abstract

The reachability problem for vector addition systems with states (VASS) has been shown to be \textsc{Ackermann}-complete. For every $k\geq 3$, a completeness result for the $k$-dimensional VASS reachability problem is not yet available. It is shown in this paper that the $3$-dimensional VASS reachability problem is in \textsc{Tower}, improving upon the current best upper bound $\mathbf{F}_7$ established by Leroux and Schmidt in 2019.

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Qizhe Yang, Yuxi Fu. 2023-06-09. Reachability in 3-VASS is in Tower. https://arxiv.org/abs/2306.05710

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