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arXiv · 0709.0248

Homotopy theoretic models of identity types

Steve Awodey·Michael A. Warren
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Abstract

This paper presents a novel connection between homotopical algebra and mathematical logic. It is shown that a form of intensional type theory is valid in any Quillen model category, generalizing the Hofmann-Streicher groupoid model of Martin-Loef type theory.

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BibTeXRIS

Steve Awodey, Michael A. Warren. 2007-09-03. Homotopy theoretic models of identity types. https://doi.org/10.1017/s0305004108001783

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