The HoTT Library: A formalization of homotopy type theory in Coq
2017 (English)In: CPP 2017: Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs, New York, NY, USA: Association for Computing Machinery (ACM), 2017Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
New York, NY, USA: Association for Computing Machinery (ACM), 2017.
Algebra and Logic
Research subject Mathematical Logic
IdentifiersURN: urn:nbn:se:su:diva-140144DOI: 10.1145/3018610.3018615ISBN: 978-1-4503-4705-1 (electronic)OAI: oai:DiVA.org:su-140144DiVA: diva2:1077738
CPP 2017 — ACM SIGPLAN Conference on Certified Programs and Proofs