{"title":"On the structure of positive and strongly positive arithmetical sets","authors":"S. Manukian","doi":"10.1109/csitechnol.2017.8312130","DOIUrl":null,"url":null,"abstract":"The relations between the classes of positive and strongly positive arithmetical sets are investigated. Some simplified form for the logical representation of the class of positive sets is obtained. It is proved that the logical representation of the class of positive sets is obtained when the list of operations &, ∨ in the definition of the class of strongly positive sets is replaced by the list, ∃ &, ∨.","PeriodicalId":332371,"journal":{"name":"2017 Computer Science and Information Technologies (CSIT)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Computer Science and Information Technologies (CSIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/csitechnol.2017.8312130","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The relations between the classes of positive and strongly positive arithmetical sets are investigated. Some simplified form for the logical representation of the class of positive sets is obtained. It is proved that the logical representation of the class of positive sets is obtained when the list of operations &, ∨ in the definition of the class of strongly positive sets is replaced by the list, ∃ &, ∨.