The computational complexity of one-dimensional sandpiles

  • Authors:
  • Peter Bro Miltersen

  • Affiliations:
  • Dept. of Computer Science, University of Aarhus, Denmark

  • Venue:
  • CiE'05 Proceedings of the First international conference on Computability in Europe: new Computational Paradigms
  • Year:
  • 2005

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Abstract

We prove that the one-dimensional sandpile prediction problem is in AC1. The previously best known upper bound on the ACi-scale was AC2. We also prove that it is not in AC1−−ε for any constant ε0.