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Formalising real numbers in homotopy type theory 同伦型理论中实数的形式化
Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs Pub Date : 2016-10-17 DOI: 10.1145/3018610.3018614
Gaëtan Gilbert
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引用次数: 6
The HoTT library: a formalization of homotopy type theory in Coq HoTT库:Coq中同伦类型理论的形式化
Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs Pub Date : 2016-10-14 DOI: 10.1145/3018610.3018615
Andrej Bauer, Jason Gross, P. Lumsdaine, Michael Shulman, Matthieu Sozeau, Bas Spitters
{"title":"The HoTT library: a formalization of homotopy type theory in Coq","authors":"Andrej Bauer, Jason Gross, P. Lumsdaine, Michael Shulman, Matthieu Sozeau, Bas Spitters","doi":"10.1145/3018610.3018615","DOIUrl":"https://doi.org/10.1145/3018610.3018615","url":null,"abstract":"We report on the development of the HoTT library, a formalization of homotopy type theory in the Coq proof assistant. It formalizes most of basic homotopy type theory, including univalence, higher inductive types, and significant amounts of synthetic homotopy theory, as well as category theory and modalities. The library has been used as a basis for several independent developments. We discuss the decisions that led to the design of the library, and we comment on the interaction of homotopy type theory with recently introduced features of Coq, such as universe polymorphism and private inductive types.","PeriodicalId":262665,"journal":{"name":"Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126148369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 68
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