Ran Chen, C. Cohen, J. Lévy, Stephan Merz, L. Théry
{"title":"Formal Proofs of Tarjan's Strongly Connected Components Algorithm in Why3, Coq and Isabelle","authors":"Ran Chen, C. Cohen, J. Lévy, Stephan Merz, L. Théry","doi":"10.4230/LIPIcs.ITP.2019.13","DOIUrl":null,"url":null,"abstract":"Comparing provers on a formalization of the same problem is always a valuable exercise. In thispaper, we present the formal proof of correctness of a non-trivial algorithm from graph theory thatwas carried out in three proof assistants: Why3,Coq, and Isabelle.","PeriodicalId":296683,"journal":{"name":"International Conference on Interactive Theorem Proving","volume":"201 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Interactive Theorem Proving","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4230/LIPIcs.ITP.2019.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
Comparing provers on a formalization of the same problem is always a valuable exercise. In thispaper, we present the formal proof of correctness of a non-trivial algorithm from graph theory thatwas carried out in three proof assistants: Why3,Coq, and Isabelle.