{"title":"将CTL-live模型检查简化为一阶逻辑有效性检查","authors":"Amirhossein Vakili, N. Day","doi":"10.1109/FMCAD.2014.6987616","DOIUrl":null,"url":null,"abstract":"Temporal logic model checking of infinite state systems without the use of iteration or abstraction is usually considered beyond the realm of first-order logic (FOL) reasoners because of the need for a fixpoint computation. In this paper, we show that it is possible to reduce model checking of a finite or infinite Kripke structure that is expressed in FOL to a validity problem in FOL for a fragment of computational tree logic (CTL), which we call CTL-live. CTL-live includes the CTL connectives that are traditionally used to express liveness properties. Our reduction can form the basis for methods that use FOL reasoning techniques directly to accomplish model checking of CTL-live properties without the need for fixpoint operators, transitive closure, abstraction, or induction.","PeriodicalId":363683,"journal":{"name":"2014 Formal Methods in Computer-Aided Design (FMCAD)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Reducing CTL-live model checking to first-order logic validity checking\",\"authors\":\"Amirhossein Vakili, N. Day\",\"doi\":\"10.1109/FMCAD.2014.6987616\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Temporal logic model checking of infinite state systems without the use of iteration or abstraction is usually considered beyond the realm of first-order logic (FOL) reasoners because of the need for a fixpoint computation. In this paper, we show that it is possible to reduce model checking of a finite or infinite Kripke structure that is expressed in FOL to a validity problem in FOL for a fragment of computational tree logic (CTL), which we call CTL-live. CTL-live includes the CTL connectives that are traditionally used to express liveness properties. Our reduction can form the basis for methods that use FOL reasoning techniques directly to accomplish model checking of CTL-live properties without the need for fixpoint operators, transitive closure, abstraction, or induction.\",\"PeriodicalId\":363683,\"journal\":{\"name\":\"2014 Formal Methods in Computer-Aided Design (FMCAD)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 Formal Methods in Computer-Aided Design (FMCAD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FMCAD.2014.6987616\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Formal Methods in Computer-Aided Design (FMCAD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMCAD.2014.6987616","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reducing CTL-live model checking to first-order logic validity checking
Temporal logic model checking of infinite state systems without the use of iteration or abstraction is usually considered beyond the realm of first-order logic (FOL) reasoners because of the need for a fixpoint computation. In this paper, we show that it is possible to reduce model checking of a finite or infinite Kripke structure that is expressed in FOL to a validity problem in FOL for a fragment of computational tree logic (CTL), which we call CTL-live. CTL-live includes the CTL connectives that are traditionally used to express liveness properties. Our reduction can form the basis for methods that use FOL reasoning techniques directly to accomplish model checking of CTL-live properties without the need for fixpoint operators, transitive closure, abstraction, or induction.