A univalent universe in finite order arithmetic

Colin McLarty

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arXiv · 1412.6714

A univalent universe in finite order arithmetic

Colin McLarty

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Abstract

Homotopy Type Theory with a univalent universe $\,\mathcal{U}_0$ is interpreted at the strength of finite order arithmetic. We eliminate Grothendieck universes, avoid the axiom of replacement, and bound all uses of separation.

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BibTeX RIS

Colin McLarty. 2014-12-21. A univalent universe in finite order arithmetic. https://arxiv.org/abs/1412.6714

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