{"title":"模态mu微积分的一个表证明系统","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":"{\"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}","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
摘要
Howard Barringer是研究不动点时间逻辑的先驱[1]。它们的加入增加了相当大的表现力。一个普遍的问题是如何为这样的逻辑定义证明系统。这里我们研究具有不动点的模态逻辑的证明系统。我们提出了一个表格证明系统，用于检查公式的有效性，该系统使用名称来跟踪[8]中设计的不动点变量的展开。
A Tableau Proof System with Names for Modal Mu-calculus
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].
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
