{"title":"有限域的 SMT-LIB 理论","authors":"Thomas Hader, Alex Ozdemir","doi":"arxiv-2407.21169","DOIUrl":null,"url":null,"abstract":"In the last few years there have been rapid developments in SMT solving for\nfinite fields. These include new decision procedures, new implementations of\nSMT theory solvers, and new software verifiers that rely on SMT solving for\nfinite fields. To support interoperability in this emerging ecosystem, we\npropose the SMT-LIB theory of finite field arithmetic (FFA). The theory defines\na canonical representation of finite field elements as well as definitions of\noperations and predicates on finite field elements.","PeriodicalId":501208,"journal":{"name":"arXiv - CS - Logic in Computer Science","volume":"70 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An SMT-LIB Theory of Finite Fields\",\"authors\":\"Thomas Hader, Alex Ozdemir\",\"doi\":\"arxiv-2407.21169\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the last few years there have been rapid developments in SMT solving for\\nfinite fields. These include new decision procedures, new implementations of\\nSMT theory solvers, and new software verifiers that rely on SMT solving for\\nfinite fields. To support interoperability in this emerging ecosystem, we\\npropose the SMT-LIB theory of finite field arithmetic (FFA). The theory defines\\na canonical representation of finite field elements as well as definitions of\\noperations and predicates on finite field elements.\",\"PeriodicalId\":501208,\"journal\":{\"name\":\"arXiv - CS - Logic in Computer Science\",\"volume\":\"70 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Logic in Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.21169\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.21169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In the last few years there have been rapid developments in SMT solving for
finite fields. These include new decision procedures, new implementations of
SMT theory solvers, and new software verifiers that rely on SMT solving for
finite fields. To support interoperability in this emerging ecosystem, we
propose the SMT-LIB theory of finite field arithmetic (FFA). The theory defines
a canonical representation of finite field elements as well as definitions of
operations and predicates on finite field elements.