Computer Science > Computational Complexity
[Submitted on 2 Oct 2023]
Title:The Recursive Arrival Problem
View PDFAbstract:We study an extension of the Arrival problem, called Recursive Arrival, inspired by Recursive State Machines, which allows for a family of switching graphs that can call each other in a recursive way. We study the computational complexity of deciding whether a Recursive Arrival instance terminates at a given target vertex. We show this problem is contained in NP \cap coNP, and we show that a search version of the problem lies in UEOPL, and hence in EOPL = PLS \cap PPAD. Furthermore, we show P-hardness of the Recursive Arrival decision problem. By contrast, the current best-known hardness result for Arrival is PL-hardness.
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Mon, 2 Oct 2023 09:01:14 UTC (131 KB)
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