{"title":"Weak bases for maximal clones","authors":"Mike Behrisch","doi":"10.1109/ISMVL57333.2023.00034","DOIUrl":null,"url":null,"abstract":"For several types of maximal clones on finite sets, we construct singleton weak bases consisting of an irredundant relation without fictitious coordinates such that every variable identification of it yields a diagonal relation. Moreover, on the three-element set we provide a complete collection of such weak base relations, one for each maximal clone.","PeriodicalId":419220,"journal":{"name":"2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL57333.2023.00034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
For several types of maximal clones on finite sets, we construct singleton weak bases consisting of an irredundant relation without fictitious coordinates such that every variable identification of it yields a diagonal relation. Moreover, on the three-element set we provide a complete collection of such weak base relations, one for each maximal clone.
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