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.
Originalsprog | Engelsk |
---|---|
Titel | CPP 2017 - Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs, co-located with POPL 2017 : CPP 2017 |
Redaktører | Yves Bertot, Viktor Vafeiadis |
Antal sider | 9 |
Udgivelsessted | New York, NY, USA |
Forlag | Association for Computing Machinery |
Publikationsdato | 16 jan. 2017 |
Sider | 164-172 |
ISBN (Trykt) | 978-1-4503-4705-1 |
ISBN (Elektronisk) | 9781450347051 |
DOI | |
Status | Udgivet - 16 jan. 2017 |
Begivenhed | The 6th ACM SIGPLAN Conference on Certified Programs and Proofs - Paris, Frankrig Varighed: 16 jan. 2017 → 17 jan. 2017 Konferencens nummer: 6 http://cpp2017.mpi-sws.org/ |
Konference
Konference | The 6th ACM SIGPLAN Conference on Certified Programs and Proofs |
---|---|
Nummer | 6 |
Land/Område | Frankrig |
By | Paris |
Periode | 16/01/2017 → 17/01/2017 |
Internetadresse |
Emneord
- Coq, Higher inductive types, Homotopy type theory, Univalent foundations, Universe polymorphism