{"title":"Relationships between NP-sets, Co-NP-sets, and P-sets relative to random oracles","authors":"N.K. Vereschchagin","doi":"10.1109/SCT.1993.336533","DOIUrl":null,"url":null,"abstract":"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.<<ETX>>","PeriodicalId":331616,"journal":{"name":"[1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1993-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCT.1993.336533","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
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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