{"title":"Number of Maximal Partial Clones","authors":"Karsten Schölzel","doi":"10.1109/ISMVL.2010.60","DOIUrl":null,"url":null,"abstract":"All maximal partial clones on 4-element, 5-element, and 6-element sets have been found and are compared to the case of maximal clones of all total functions. Due to the large numbers of maximal partial clones other criteria to check for generating systems of all partial functions are analyzed.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","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.2010.60","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
All maximal partial clones on 4-element, 5-element, and 6-element sets have been found and are compared to the case of maximal clones of all total functions. Due to the large numbers of maximal partial clones other criteria to check for generating systems of all partial functions are analyzed.