{"title":"A Tableau Proof System with Names for Modal Mu-calculus","authors":"C. Stirling","doi":"10.29007/lwqm","DOIUrl":null,"url":null,"abstract":"Howard Barringer was a pioneer in the study of temporal logics with fixpoints [1]. Their addition adds considerable expressive power. One general issue is how to define proof systems for such logics. Here we examine proof systems for modal logic with fixpoints. We present a tableau proof system for checking validity of formulas which uses names to keep track of unfoldings of fixpoint variables as devised in [8].","PeriodicalId":422904,"journal":{"name":"HOWARD-60","volume":"49 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"HOWARD-60","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29007/lwqm","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
Howard Barringer was a pioneer in the study of temporal logics with fixpoints [1]. Their addition adds considerable expressive power. One general issue is how to define proof systems for such logics. Here we examine proof systems for modal logic with fixpoints. We present a tableau proof system for checking validity of formulas which uses names to keep track of unfoldings of fixpoint variables as devised in [8].
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