{"title":"最大克隆的弱碱基","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":"{\"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}","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}
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.