Date of Original Version

3-2013

Type

Article

Rights Management

Copyright © Cambridge University Press 2015

Abstract or Description

Working in homotopy type theory, we provide a systematic study of homotopy limits of diagrams over graphs, formalized in the Coq proof assistant. We discuss some of the challenges posed by this approach to the formalizing homotopy-theoretic material. We also compare our constructions with the more classical approach to homotopy limits via fibration categories.

DOI

10.1017/S0960129514000498

Comments

Formal proofs available at: https://github.com/peterlefanulumsdaine/hott-limits/

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Philosophy Commons

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Published In

Mathematical Structures in Computer Science, 25, 5, 1040-1070.