{"title":"Generalized If-Then-Else Operator for Compact Polynomial Representation of Multi Output Functions","authors":"I. Levin, O. Keren","doi":"10.1109/DSD.2011.7","DOIUrl":null,"url":null,"abstract":"The paper studies a new polynomial representation of Multi Output Functions (MOFs). The new representation, called GITE-polynomials, is based on a newly introduced Generalized If-Then-Else (GITE) function. Being a compact form of representation of MOFs, the GITE-polynomials allow efficient manipulation with a set of functions. The paper introduces algebra of GITE-polynomials. Properties of this algebra are used for solving the MOF-decomposition problem. The solution provides a compact representation of MOFs.","PeriodicalId":267187,"journal":{"name":"2011 14th Euromicro Conference on Digital System Design","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 14th Euromicro Conference on Digital System Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DSD.2011.7","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 paper studies a new polynomial representation of Multi Output Functions (MOFs). The new representation, called GITE-polynomials, is based on a newly introduced Generalized If-Then-Else (GITE) function. Being a compact form of representation of MOFs, the GITE-polynomials allow efficient manipulation with a set of functions. The paper introduces algebra of GITE-polynomials. Properties of this algebra are used for solving the MOF-decomposition problem. The solution provides a compact representation of MOFs.