Lower Bounds for the Reachability Problem in Fixed Dimensional VASSes

03/08/2022
by   Wojciech Czerwiński, et al.
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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) -hardness for unary flat 4-VASSes (VASSes in dimension 4), 2) -hardness for unary 5-VASSes, 3) -hardness for binary 6-VASSes and 4) -hardness for unary 8-VASSes.

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