A lower bound for the pigeonhole principle in tree-like Resolution by asymmetric Prover-Delayer games

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Beyersdorff, O ; Galesi, N ; Lauria, M (2010)
  • Publisher: Elsevier

In this note we show that the asymmetric Prover–Delayer game developed in Beyersdorff et al. (2010) [2] for Parameterized Resolution is also applicable to other tree-like proof systems. In particular, we use this asymmetric Prover–Delayer game to show a lower bound of the form 2Ω(nlogn) for the pigeonhole principle in tree-like Resolution. This gives a new and simpler proof of the same lower bound established by Iwama and Miyazaki (1999) [7] and Dantchev and Riis (2001) [5].
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