np集，co - np集，p集与随机预言之间的关系

[1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference Pub Date : 1993-05-18 DOI:10.1109/SCT.1993.336533

N.K. Vereschchagin

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引用次数: 11

摘要

证明了相对于随机oracle A(相对于一致测度)有以下断言成立:(1)存在一对不相交的NP/sup A/-集合，它们不能被P/sup A/-集合分离;(2)存在一对不相交的Co-NP/sup A/-集合，它们不能被P/sup A/-集合分离;(3)存在一个无限的Co-NP/sup A/-集合，没有无限的NP/sup A/-子集。

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Relationships between NP-sets, Co-NP-sets, and P-sets relative to random oracles

It is proved that relative to random oracle A (with respect to the uniform measure) the following assertions hold: (1) there is a pair of disjoint NP/sup A/-sets that are separable by no P/sup A/-set, (2) there is a pair of disjoint Co-NP/sup A/-sets that are separable by no P/sup A/-set, and (3) there is an infinite Co-NP/sup A/-set having no infinite NP/sup A/-subset.<>

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[1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference

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