{"title":"关键可分解函数的克隆","authors":"Miguel Couceiro, B. Teheux","doi":"10.1109/ISMVL.2015.9","DOIUrl":null,"url":null,"abstract":"This paper is a contribution to the understanding of the relation between pivotal decompositions of operations on a set and clones on the same set. In this preliminary study we establish sufficient conditions on a pivotal operation II so that the corresponding class of II decomposable operations constitutes a clone, and discuss the normal form representations that such pivotal operations induce. We also outline several open questions, providing directions for further research.","PeriodicalId":118417,"journal":{"name":"2015 IEEE International Symposium on Multiple-Valued Logic","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Clones of Pivotally Decomposable Functions\",\"authors\":\"Miguel Couceiro, B. Teheux\",\"doi\":\"10.1109/ISMVL.2015.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is a contribution to the understanding of the relation between pivotal decompositions of operations on a set and clones on the same set. In this preliminary study we establish sufficient conditions on a pivotal operation II so that the corresponding class of II decomposable operations constitutes a clone, and discuss the normal form representations that such pivotal operations induce. We also outline several open questions, providing directions for further research.\",\"PeriodicalId\":118417,\"journal\":{\"name\":\"2015 IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-05-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2015.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2015.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper is a contribution to the understanding of the relation between pivotal decompositions of operations on a set and clones on the same set. In this preliminary study we establish sufficient conditions on a pivotal operation II so that the corresponding class of II decomposable operations constitutes a clone, and discuss the normal form representations that such pivotal operations induce. We also outline several open questions, providing directions for further research.
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