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arXiv · 2203.04243

Lower Bounds for the Reachability Problem in Fixed Dimensional VASSes

Wojciech Czerwiński·Łukasz Orlikowski
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Abstract

We study the complexity of the reachability problem for Vector Addition Systems with States (VASSes) in fixed dimensions. We provide four lower bounds improving the currently known state-of-the-art: 1) \np-hardness for unary flat $4$-VASSes (VASSes in dimension 4), 2) \pspace-hardness for unary $5$-VASSes, 3) \expspace-hardness for binary $6$-VASSes and 4) \tower-hardness for unary $8$-VASSes.

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Wojciech Czerwiński, Łukasz Orlikowski. 2022-03-08. Lower Bounds for the Reachability Problem in Fixed Dimensional VASSes. https://arxiv.org/abs/2203.04243

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