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  We consider small-weight Cutting Planes (CP

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by Maria Bonet, Toniann Pitassi, Ran Raz
http://www.cs.arizona.edu/http/html/people/toni/papers/bonet-pitassi-raz.ps
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Abstract:

Citations

374 Communication Complexity – Kushilevitz, Nisan - 1997
267 Some complexity questions related to distributed computing – Yao - 1979
247 The relative efficiency of propositional proof systems – Cook, Reckhow - 1979
230 The intractability of resolution – Haken - 1985
134 Monotone Circuits for Connectivity Require Super-logarithmic Depth – Karchmer, Wigderson - 1990
129 Natural proofs – Razborov, Rudich - 1997
128 An algorithm for integer solutions to linear programs – Gomory - 1963
120 Exponential lower bounds for the pigeonhole principle – Pitassi, Beame, et al. - 1993
120 Lower bounds on the monotone complexity of some boolean functions – Razborov - 1985
114 The monotone circuit complexity of boolean functions – Alon, Boppana - 1987
101 Edmonds polytopes and a hierarchy of combinatorial problems – Chvátal - 1973
70 Some consequences of cryptographic conjectures for S12 – Kraj'icek, Pudl'ak - 1995
66 Provability of the pigeonhole principle and the existence of infinitely many primes – Paris, Wilkie, et al. - 1988
65 Interpolation theorems, lower bounds for proof systems, and independence results for bounded arithmetic – Krajíček - 1997
61 Monotone Circuits for Matching Require Linear Depth – Raz, Wigderson - 1992
59 Polynomial size proofs of the Propositional Pigeonhole Principle – Buss - 1987
53 Unprovability of lower bounds on the circuit size in certain fragments of bounded arithmetic – Razborov - 1995
44 Lower bounds to the size of constant-depth propositional proofs – Krajíček - 1994
43 On the complexity of cutting plane proofs – Cook, Coullard, et al. - 1987
43 Upper and lower bounds on tree-like cutting planes proofs – Impagliazzo, Pitassi, et al. - 1994
24 Probabilistic communication complexity of boolean relations – Raz, Wigderson - 1989
18 Communication Complexity: A New Approach to Circuit Depth – Karchmer - 1989
15 Cutting planes, connectivity and threshold logic – Buss, Clote - 1996
12 Cutting plane versus frege proof systems – Goerdt - 1990
6 Cutting planes and constant depth Frege proofs – Clote - 1992
2 Randomized versus nondeterministic communication complexity – Beame, Lawry - 1992
2 Lower Bounds for Probabilistic Communication Complexity and for the depth of Monotone Boolean Circuits – Raz - 1992
2 The complexity of the pigeonhole principle," forthcoming. Preliminary version – Ajtai - 1988
1 The complexity of the pigeonhole principle, " forthcoming. Preliminary version – Ajtai - 1988