{"title":"用可重用的SMT求解器接口对整型数据类型进行合理的推理","authors":"Régis Blanc, Viktor Kunčak","doi":"10.1145/2774975.2774980","DOIUrl":null,"url":null,"abstract":"We extend the Leon verification system for Scala with support for bit-vector reasoning, thus addressing one of its fundamental soundness limitation with respect to the treatment of integers primitives. We leverage significant progresses recently achieved in SMT solving by developing a solver-independent interface to easily configure the back-end of Leon. Our interface is based on the emerging SMT-LIB standard for SMT solvers, and we release a Scala library offering full support for the latest version of the standard. We use the standard BigInt Scala library to represent mathematical integers, whereas we correctly model Int as 32-bit integers. We ensure safety of arithmetic by checking for division by zero and correctly modeling division and modulo. We conclude with a performance comparison between the sound representation of Ints and the cleaner abstract representation using mathematical integers, and discuss the trade-off involved.","PeriodicalId":308206,"journal":{"name":"Proceedings of the 6th ACM SIGPLAN Symposium on Scala","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Sound reasoning about integral data types with a reusable SMT solver interface\",\"authors\":\"Régis Blanc, Viktor Kunčak\",\"doi\":\"10.1145/2774975.2774980\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We extend the Leon verification system for Scala with support for bit-vector reasoning, thus addressing one of its fundamental soundness limitation with respect to the treatment of integers primitives. We leverage significant progresses recently achieved in SMT solving by developing a solver-independent interface to easily configure the back-end of Leon. Our interface is based on the emerging SMT-LIB standard for SMT solvers, and we release a Scala library offering full support for the latest version of the standard. We use the standard BigInt Scala library to represent mathematical integers, whereas we correctly model Int as 32-bit integers. We ensure safety of arithmetic by checking for division by zero and correctly modeling division and modulo. We conclude with a performance comparison between the sound representation of Ints and the cleaner abstract representation using mathematical integers, and discuss the trade-off involved.\",\"PeriodicalId\":308206,\"journal\":{\"name\":\"Proceedings of the 6th ACM SIGPLAN Symposium on Scala\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 6th ACM SIGPLAN Symposium on Scala\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2774975.2774980\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 6th ACM SIGPLAN Symposium on Scala","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2774975.2774980","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sound reasoning about integral data types with a reusable SMT solver interface
We extend the Leon verification system for Scala with support for bit-vector reasoning, thus addressing one of its fundamental soundness limitation with respect to the treatment of integers primitives. We leverage significant progresses recently achieved in SMT solving by developing a solver-independent interface to easily configure the back-end of Leon. Our interface is based on the emerging SMT-LIB standard for SMT solvers, and we release a Scala library offering full support for the latest version of the standard. We use the standard BigInt Scala library to represent mathematical integers, whereas we correctly model Int as 32-bit integers. We ensure safety of arithmetic by checking for division by zero and correctly modeling division and modulo. We conclude with a performance comparison between the sound representation of Ints and the cleaner abstract representation using mathematical integers, and discuss the trade-off involved.