{"title":"Sublattices of the polynomial time degrees","authors":"Klaus Ambos-Spies","doi":"10.1016/S0019-9958(85)80020-6","DOIUrl":null,"url":null,"abstract":"<div><p>We show that any countable distributive lattice can be embedded in any interval of polynomial time degrees. Furthermore the embeddings can be chosen to preserve the least or the greatest element. This holds for both polynomial time bounded many-one and Turing reducibilities, as well as for all of the common intermediate reducibilities.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1985-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80020-6","citationCount":"29","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995885800206","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 29
Abstract
We show that any countable distributive lattice can be embedded in any interval of polynomial time degrees. Furthermore the embeddings can be chosen to preserve the least or the greatest element. This holds for both polynomial time bounded many-one and Turing reducibilities, as well as for all of the common intermediate reducibilities.