{"title":"关于{0,1}上的极大超克隆的一个新方法","authors":"Hajime Machida, J. Pantović","doi":"10.1109/ISMVL.2008.44","DOIUrl":null,"url":null,"abstract":"The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B5 and another submaximal clone of B2, we investigate hypercores. The interval of hyperclones on {0,1} generated by unary hyperoperations is also completely determined.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On Maximal Hyperclones on {0, 1} A New Approach\",\"authors\":\"Hajime Machida, J. Pantović\",\"doi\":\"10.1109/ISMVL.2008.44\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B5 and another submaximal clone of B2, we investigate hypercores. The interval of hyperclones on {0,1} generated by unary hyperoperations is also completely determined.\",\"PeriodicalId\":243752,\"journal\":{\"name\":\"38th International Symposium on Multiple Valued Logic (ismvl 2008)\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"38th International Symposium on Multiple Valued Logic (ismvl 2008)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2008.44\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2008.44","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B5 and another submaximal clone of B2, we investigate hypercores. The interval of hyperclones on {0,1} generated by unary hyperoperations is also completely determined.
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