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The Reachability Problem for Petri Nets is Not Primitive Recursive
Published 26 Apr 2021 in cs.LO | (2104.12695v4)
Abstract: We provide an Ackermannian complexity lower bound for the reachability problem for checking programs, a model equivalent to Petri nets. Moreover in fixed dimension $2d+4$, we show that the problem is $\mathbb{F}_d$-hard. As a direct corollary, the reachability problem in dimension 10 is not elementary.
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