We prove that any resolution proof for the weak pigeonhole principle, with n holes and any number of pigeons, is of length Ω(2n∈), (for some constant ∈ > 0). One corollary is that a certain propositional formulation of the statement NP ⊄ P/poly does not have short resolution proofs
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Computational Complexity, 2002. Proceedings. 17th IEEE Annual Conference on
Date of Conference: 2002