{"title":"An Approximation-Based Abstract Interpretation Framework for Formal Verification of Floating-Point Programs","authors":"Vinh D. Thai, T. Quan, Tien V. Le, B. Ngo","doi":"10.1109/rivf.2012.6169864","DOIUrl":null,"url":null,"abstract":"Formal verification of programs involved with floating-point data type still remains a tough problem nowadays. One of the major problems faced in this area is how to reflect the rounding error caused by IEEE standard floating-point processing for verification. In this paper we present an approximation approach which basically converts all floating-point data objects into corresponding integer values. It is carried by some scale operations, which are shown equivalent to a consistent Abstract Interpretation. We have also developed a Web-based verification system to check programming works submitted by students. Experimental results show that the learning interests of students have been significantly improved since floating-point programming problems were supported in the system.","PeriodicalId":115212,"journal":{"name":"2012 IEEE RIVF International Conference on Computing & Communication Technologies, Research, Innovation, and Vision for the Future","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE RIVF International Conference on Computing & Communication Technologies, Research, Innovation, and Vision for the Future","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/rivf.2012.6169864","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Formal verification of programs involved with floating-point data type still remains a tough problem nowadays. One of the major problems faced in this area is how to reflect the rounding error caused by IEEE standard floating-point processing for verification. In this paper we present an approximation approach which basically converts all floating-point data objects into corresponding integer values. It is carried by some scale operations, which are shown equivalent to a consistent Abstract Interpretation. We have also developed a Web-based verification system to check programming works submitted by students. Experimental results show that the learning interests of students have been significantly improved since floating-point programming problems were supported in the system.