Alessandro Cimatti, Alberto Griggio, Sergio Mover, Marco Roveri, Stefano Tonetta
{"title":"验证模理论","authors":"Alessandro Cimatti, Alberto Griggio, Sergio Mover, Marco Roveri, Stefano Tonetta","doi":"10.1007/s10703-023-00434-x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we consider the problem of model checking fair transition systems expressed symbolically in the framework of Satisfiability Modulo Theories. This problem, referred to as Verification Modulo Theories, is tackled by combining two key elements from the legacy of Ed Clarke: SAT-based verification and abstraction refinement. We show how fundamental SAT-based algorithms have been lifted to deal with the extended expressiveness with a tight integration of abstraction within a CEGAR loop. In turn, the case of nonlinear theories is based on a CEGAR loop over the linear case. These two elements have also deeply impacted the development of the NuSMV model checker, born from a joint project between FBK and CMU, and its successor nuXmv, whose core integrates SMT-based techniques for VMT.</p>","PeriodicalId":12430,"journal":{"name":"Formal Methods in System Design","volume":"212 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Verification modulo theories\",\"authors\":\"Alessandro Cimatti, Alberto Griggio, Sergio Mover, Marco Roveri, Stefano Tonetta\",\"doi\":\"10.1007/s10703-023-00434-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we consider the problem of model checking fair transition systems expressed symbolically in the framework of Satisfiability Modulo Theories. This problem, referred to as Verification Modulo Theories, is tackled by combining two key elements from the legacy of Ed Clarke: SAT-based verification and abstraction refinement. We show how fundamental SAT-based algorithms have been lifted to deal with the extended expressiveness with a tight integration of abstraction within a CEGAR loop. In turn, the case of nonlinear theories is based on a CEGAR loop over the linear case. These two elements have also deeply impacted the development of the NuSMV model checker, born from a joint project between FBK and CMU, and its successor nuXmv, whose core integrates SMT-based techniques for VMT.</p>\",\"PeriodicalId\":12430,\"journal\":{\"name\":\"Formal Methods in System Design\",\"volume\":\"212 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Formal Methods in System Design\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1007/s10703-023-00434-x\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Formal Methods in System Design","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s10703-023-00434-x","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
In this paper, we consider the problem of model checking fair transition systems expressed symbolically in the framework of Satisfiability Modulo Theories. This problem, referred to as Verification Modulo Theories, is tackled by combining two key elements from the legacy of Ed Clarke: SAT-based verification and abstraction refinement. We show how fundamental SAT-based algorithms have been lifted to deal with the extended expressiveness with a tight integration of abstraction within a CEGAR loop. In turn, the case of nonlinear theories is based on a CEGAR loop over the linear case. These two elements have also deeply impacted the development of the NuSMV model checker, born from a joint project between FBK and CMU, and its successor nuXmv, whose core integrates SMT-based techniques for VMT.
期刊介绍:
The focus of this journal is on formal methods for designing, implementing, and validating the correctness of hardware (VLSI) and software systems. The stimulus for starting a journal with this goal came from both academia and industry. In both areas, interest in the use of formal methods has increased rapidly during the past few years. The enormous cost and time required to validate new designs has led to the realization that more powerful techniques must be developed. A number of techniques and tools are currently being devised for improving the reliability, and robustness of complex hardware and software systems. While the boundary between the (sub)components of a system that are cast in hardware, firmware, or software continues to blur, the relevant design disciplines and formal methods are maturing rapidly. Consequently, an important (and useful) collection of commonly applicable formal methods are expected to emerge that will strongly influence future design environments and design methods.