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Abstract: In the first part of the paper we prove that, relative to a random oracle, the class NP has infinite sets having no infinite Co-NP-subsets (Co-NP-immune sets). (Update)
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BibTeX entry: (Update)
@misc{ vereshchagin-oracle,
author = "Nikolai Vereshchagin",
title = "Oracle Separation of Complexity Classes and Lower Bounds for Perceptrons
Solving Separation Problems",
url = "citeseer.ist.psu.edu/494200.html" }
Citations (may not include all citations):482 Combinatorial Optimization: Algorithms and Complexity (context) - Papadimitriou, Steiglitz - 1982
84 Mathematical Systems Theory (context) - Furst, Saxe et al. - 1984
66 PP is closed under intersection - Beigel, Reingold et al. - 1991
53 SIAM Journal on Computing (context) - Baker, Gill et al. - 1975
38 PP is closed under truth table reductions - Fortnow, Reingold - 1991
33 Problems and Theorems in Analysis (context) - P'olya, Szego - 1972
31 Rinehart and Winston (context) - Lorentz, Functions - 1966
16 Schwankung von Polynomen zwischen Gitterpunkten (context) - Ehlich, Zeller - 1964
11 Approximation Theory (context) - Cheney - 1966
6 Separating PH from PP by Relativization (context) - Fu - 1990
4 and the Polynomial Time Hierarchy (context) - Beigel, PP - 1992
3 A Measure of Assymptotic Efficiency for Tests of a Hypothesi.. (context) - Chernoff - 1952
3 Lower Bounds for Perceptrons Solving some Separation Problem.. - Vereshchagin - 1994
2 Linear Programming (context) - Ashmanov - 1981
2 th Annual IEEE Symposium on Foundation of Computer Science (context) - Blum, Impagliazzo et al. - 1987
2 On the computational power of PP and \PhiP, 30th Annual IEEE.. (context) - Toda - 1989
1 Average Dependence and Random Oracle (context) - Kurtz, Mahaney et al. - 1992
1 Third Israel Symposium on Theory of Computing and Systems (context) - Co-NP-immune, to et al.
1 Seventh Conference on Structure in Complexity Theory (context) - Power, PP - 1992
1 th Annual ACM Symposium on Theory of Computing (context) - Babai, Theory et al. - 1985
1 Relative to a random oracle P6=NP6=coNP with probability (context) - Bennett, Gill - 1981
1 Co-NP-sets and P-sets relative to random oracles (context) - NP-sets
1 Third Israel Symposium on Theory of Computing and Systems (context) - for, some et al. - 1995
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