{"title":"关于布尔代数上非布尔函数的几点注记","authors":"D. Simovici","doi":"10.1109/ISMVL.2003.1201401","DOIUrl":null,"url":null,"abstract":"We investigate characterizations of n-argument Boolean functions in the class of functions defined on Boolean algebras and we extend our previous results centered around the approximation of non-Boolean functions by Boolean functions. We also generalize of the notions of upper and lower semi-Boolean functions to the case of n-variable functions.","PeriodicalId":434515,"journal":{"name":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Several remarks on non-boolean functions over boolean algebras\",\"authors\":\"D. Simovici\",\"doi\":\"10.1109/ISMVL.2003.1201401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate characterizations of n-argument Boolean functions in the class of functions defined on Boolean algebras and we extend our previous results centered around the approximation of non-Boolean functions by Boolean functions. We also generalize of the notions of upper and lower semi-Boolean functions to the case of n-variable functions.\",\"PeriodicalId\":434515,\"journal\":{\"name\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2003.1201401\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2003.1201401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Several remarks on non-boolean functions over boolean algebras
We investigate characterizations of n-argument Boolean functions in the class of functions defined on Boolean algebras and we extend our previous results centered around the approximation of non-Boolean functions by Boolean functions. We also generalize of the notions of upper and lower semi-Boolean functions to the case of n-variable functions.