{"title":"通过结合测试和证明来验证Haskell程序","authors":"P. Dybjer, Qiao Haiyan, M. Takeyama","doi":"10.1109/QSIC.2003.1319111","DOIUrl":null,"url":null,"abstract":"We propose a method for improving confidence in the correctness of Haskell programs by combining testing and proving. Testing is used for debugging programs and specification before a costly proof attempt. During a proof development, testing also quickly eliminates wrong conjectures. Proving helps us to decompose a testing task in a way that is guaranteed to be correct. To demonstrate the method, we have extended the Agda/Alfa proof assistant for dependent type theory with a tool for random testing. As an example, we show how the correctness of a BDD-algorithm written in Haskell is verified by testing properties of component functions. We also discuss faithful translations from Haskell to type theory.","PeriodicalId":145980,"journal":{"name":"Third International Conference on Quality Software, 2003. Proceedings.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2003-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Verifying Haskell programs by combining testing and proving\",\"authors\":\"P. Dybjer, Qiao Haiyan, M. Takeyama\",\"doi\":\"10.1109/QSIC.2003.1319111\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a method for improving confidence in the correctness of Haskell programs by combining testing and proving. Testing is used for debugging programs and specification before a costly proof attempt. During a proof development, testing also quickly eliminates wrong conjectures. Proving helps us to decompose a testing task in a way that is guaranteed to be correct. To demonstrate the method, we have extended the Agda/Alfa proof assistant for dependent type theory with a tool for random testing. As an example, we show how the correctness of a BDD-algorithm written in Haskell is verified by testing properties of component functions. We also discuss faithful translations from Haskell to type theory.\",\"PeriodicalId\":145980,\"journal\":{\"name\":\"Third International Conference on Quality Software, 2003. Proceedings.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Third International Conference on Quality Software, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/QSIC.2003.1319111\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Third International Conference on Quality Software, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/QSIC.2003.1319111","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Verifying Haskell programs by combining testing and proving
We propose a method for improving confidence in the correctness of Haskell programs by combining testing and proving. Testing is used for debugging programs and specification before a costly proof attempt. During a proof development, testing also quickly eliminates wrong conjectures. Proving helps us to decompose a testing task in a way that is guaranteed to be correct. To demonstrate the method, we have extended the Agda/Alfa proof assistant for dependent type theory with a tool for random testing. As an example, we show how the correctness of a BDD-algorithm written in Haskell is verified by testing properties of component functions. We also discuss faithful translations from Haskell to type theory.
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