{"title":"Satisfiability modulo ODEs","authors":"Sicun Gao, Soonho Kong, E. Clarke","doi":"10.1109/FMCAD.2013.6679398","DOIUrl":null,"url":null,"abstract":"We study SMT problems over the reals containing ordinary differential equations,. They are important for formal verification of realistic hybrid systems and embedded software. We develop δ-complete algorithms for SMT formulas that are purely existentially quantified, as well as ∃∀-formulas whose universal quantification is restricted to the time variables. We demonstrate scalability of the algorithms, as implemented in our open-source solver dReal, on SMT benchmarks with several hundred nonlinear ODEs and variables.","PeriodicalId":346097,"journal":{"name":"2013 Formal Methods in Computer-Aided Design","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"95","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Formal Methods in Computer-Aided Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMCAD.2013.6679398","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 95
Abstract
We study SMT problems over the reals containing ordinary differential equations,. They are important for formal verification of realistic hybrid systems and embedded software. We develop δ-complete algorithms for SMT formulas that are purely existentially quantified, as well as ∃∀-formulas whose universal quantification is restricted to the time variables. We demonstrate scalability of the algorithms, as implemented in our open-source solver dReal, on SMT benchmarks with several hundred nonlinear ODEs and variables.
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
