{"title":"在Coq中证明浮点算法的统一库","authors":"S. Boldo, G. Melquiond","doi":"10.1109/ARITH.2011.40","DOIUrl":null,"url":null,"abstract":"Several formalizations of floating-point arithmetic have been designed for the Coq system, a generic proof assistant. Their different purposes have favored some specific applications: program verification, high-level properties, automation. Based on our experience using and/or developing these libraries, we have built a new system that is meant to encompass the other ones in a unified framework. It offers a multi-radix and multi-precision formalization for various floating- and fixed-point formats. This fresh setting has been the occasion for reevaluating known properties and generalizing them. This paper presents design decisions and examples of theorems from the Flocq system: a library easy to use, suitable for automation yet high-level and generic.","PeriodicalId":272151,"journal":{"name":"2011 IEEE 20th Symposium on Computer Arithmetic","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"134","resultStr":"{\"title\":\"Flocq: A Unified Library for Proving Floating-Point Algorithms in Coq\",\"authors\":\"S. Boldo, G. Melquiond\",\"doi\":\"10.1109/ARITH.2011.40\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several formalizations of floating-point arithmetic have been designed for the Coq system, a generic proof assistant. Their different purposes have favored some specific applications: program verification, high-level properties, automation. Based on our experience using and/or developing these libraries, we have built a new system that is meant to encompass the other ones in a unified framework. It offers a multi-radix and multi-precision formalization for various floating- and fixed-point formats. This fresh setting has been the occasion for reevaluating known properties and generalizing them. This paper presents design decisions and examples of theorems from the Flocq system: a library easy to use, suitable for automation yet high-level and generic.\",\"PeriodicalId\":272151,\"journal\":{\"name\":\"2011 IEEE 20th Symposium on Computer Arithmetic\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"134\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 IEEE 20th Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.2011.40\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 IEEE 20th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.2011.40","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Flocq: A Unified Library for Proving Floating-Point Algorithms in Coq
Several formalizations of floating-point arithmetic have been designed for the Coq system, a generic proof assistant. Their different purposes have favored some specific applications: program verification, high-level properties, automation. Based on our experience using and/or developing these libraries, we have built a new system that is meant to encompass the other ones in a unified framework. It offers a multi-radix and multi-precision formalization for various floating- and fixed-point formats. This fresh setting has been the occasion for reevaluating known properties and generalizing them. This paper presents design decisions and examples of theorems from the Flocq system: a library easy to use, suitable for automation yet high-level and generic.
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