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Resolution lower bounds for the weak pigeon hole principle

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1 Author(s)
Raz, R. ; Dept. of Comput. Sci., Weizmann Inst. of Sci., Rehovot

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

Published in:
Computational Complexity, 2002. Proceedings. 17th IEEE Annual Conference on

Date of Conference: 2002

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