Homotopy Type Theory
A Coq library for formalizing Homotopy Type Theory, interpreting type theory into homotopy theory.
What is Homotopy Type Theory?
HoTT/Coq-HoTT is a Coq library for Homotopy Type Theory, a field that interprets type theory into homotopy theory. It formalizes concepts like univalence and higher inductive types, enabling mathematicians and computer scientists to work with homotopical structures in a proof assistant. The library solves the problem of rigorously developing and verifying results in HoTT within a computational framework.
Researchers and graduate students in mathematics, computer science, or logic who are working with Homotopy Type Theory, formal verification, or related areas like higher category theory.
Developers choose this library because it provides a well-maintained, platform-integrated Coq implementation of HoTT, facilitating formal proofs and interoperability with other libraries like UniMath and HoTT-Agda. Its permissive BSD license and active community support make it a reliable tool for advanced theoretical work.
Overview
A Coq library for Homotopy Type Theory
Use Cases
Best For
- Formalizing Homotopy Type Theory theorems in Coq
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