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Cutting-plane proofs in polynomial space

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Abstract

Following Chvátal, cutting planes may be viewed as a proof system for establishing that a given system of linear inequalities has no integral solution. We show that such proofs may be carried out in polynomial workspace.

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Research supported by Sonderforschungsbereich 303 (DFG), Institut für Operations Research, Universität Bonn, FR Germany and by NSF grant ECS-8611841.

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Cook, W. Cutting-plane proofs in polynomial space. Mathematical Programming 47, 11–18 (1990). https://doi.org/10.1007/BF01580849

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  • DOI: https://doi.org/10.1007/BF01580849

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