{"title":"部分布尔克隆的分类","authors":"D. Lau, Karsten Schölzel","doi":"10.1109/ISMVL.2010.43","DOIUrl":null,"url":null,"abstract":"We study intervals $\\mathcal{I}(A)$ of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals(according to whether the interval is finite or infinite), and determine the size of each finite interval $\\mathcal{I}(A)$.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"75 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"A Classification of Partial Boolean Clones\",\"authors\":\"D. Lau, Karsten Schölzel\",\"doi\":\"10.1109/ISMVL.2010.43\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study intervals $\\\\mathcal{I}(A)$ of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals(according to whether the interval is finite or infinite), and determine the size of each finite interval $\\\\mathcal{I}(A)$.\",\"PeriodicalId\":447743,\"journal\":{\"name\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"75 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2010.43\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.43","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study intervals $\mathcal{I}(A)$ of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals(according to whether the interval is finite or infinite), and determine the size of each finite interval $\mathcal{I}(A)$.