Lower Bounds for resolution and cutting plane proofs and monotone computations

Journal of Symbolic Logic 62 (3):981-998 (1997)
Abstract
We prove an exponential lower bound on the length of cutting plane proofs. The proof uses an extension of a lower bound for monotone circuits to circuits which compute with real numbers and use nondecreasing functions as gates. The latter result is of independent interest, since, in particular, it implies an exponential lower bound for some arithmetic circuits
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DOI 10.2307/2275583
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Several Notes on the Power of Gomory–Chvátal Cuts.Edward A. Hirsch & Arist Kojevnikov - 2006 - Annals of Pure and Applied Logic 141 (3):429-436.
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Towards–Via Proof Complexity and Search.Samuel R. Buss - 2012 - Annals of Pure and Applied Logic 163 (7):906-917.
Nisan-Wigderson Generators in Proof Systems with Forms of Interpolation.Ján Pich - 2011 - Mathematical Logic Quarterly 57 (4):379-383.

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