{"title":"An Efficient Algorithm for Representing Piecewise Linear Functions into Logic","authors":"Sandro Preto , Marcelo Finger","doi":"10.1016/j.entcs.2020.08.009","DOIUrl":null,"url":null,"abstract":"<div><p>Rational McNaughton functions may be implicitly represented by logical formulas in Łukasiewicz Infinitely-valued Logic by constraining the set of valuations to the ones that satisfy some specific formulas. This work investigates this implicit representation called representation modulo satisfiability and describes a polynomial algorithm that builds it — the representative formula and the constraining ones — for a given rational McNaughton function.</p></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.entcs.2020.08.009","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066120300451","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 2
Abstract
Rational McNaughton functions may be implicitly represented by logical formulas in Łukasiewicz Infinitely-valued Logic by constraining the set of valuations to the ones that satisfy some specific formulas. This work investigates this implicit representation called representation modulo satisfiability and describes a polynomial algorithm that builds it — the representative formula and the constraining ones — for a given rational McNaughton function.
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