{"title":"工程数学:奇次定理的证明","authors":"Georges Gonthier","doi":"10.1145/2429069.2429071","DOIUrl":null,"url":null,"abstract":"Even with the assistance of computer tools, the formalized de-scription and verification of research-level mathematics remains a daunting task, not least because of the talent with which mathema-ticians combine diverse theories to achieve their ends. By combin-ing tools and techniques from type theory, language design, and software engineering we have managed to capture enough of these practices to formalize the proof of the Odd Order theorem, a landmark result in Group Theory.","PeriodicalId":20683,"journal":{"name":"Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2013-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"38","resultStr":"{\"title\":\"Engineering mathematics: the odd order theorem proof\",\"authors\":\"Georges Gonthier\",\"doi\":\"10.1145/2429069.2429071\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Even with the assistance of computer tools, the formalized de-scription and verification of research-level mathematics remains a daunting task, not least because of the talent with which mathema-ticians combine diverse theories to achieve their ends. By combin-ing tools and techniques from type theory, language design, and software engineering we have managed to capture enough of these practices to formalize the proof of the Odd Order theorem, a landmark result in Group Theory.\",\"PeriodicalId\":20683,\"journal\":{\"name\":\"Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"38\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2429069.2429071\",\"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 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2429069.2429071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Engineering mathematics: the odd order theorem proof
Even with the assistance of computer tools, the formalized de-scription and verification of research-level mathematics remains a daunting task, not least because of the talent with which mathema-ticians combine diverse theories to achieve their ends. By combin-ing tools and techniques from type theory, language design, and software engineering we have managed to capture enough of these practices to formalize the proof of the Odd Order theorem, a landmark result in Group Theory.