The Computational Complexity of One-Dimensional Sandpiles |
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Authors: | Peter Bro Miltersen |
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Affiliation: | (1) Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, DK 8200 Aarhus N, Denmark |
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Abstract: | We prove that the one-dimensional sandpile prediction problem is in LOGDCFL, a subset of AC1. The previously best known upper bound on the ACi-scale was AC2. Furthermore, we prove that the one-dimensional sandpile prediction problem is hard for TC0 and thus not in AC1-ε for any constant ε > 0. |
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