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arXiv · 2212.11764

Normalization and coherence for $\infty$-type theories

Taichi Uemura
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Abstract

We develop a technique for normalization for $\infty$-type theories. The normalization property helps us to prove a coherence theorem: the initial model of a given $\infty$-type theory is $0$-truncated. The coherence theorem justifies interpreting an ordinary type theory in $(\infty, 1)$-categorical structures.

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Taichi Uemura. 2022-12-22. Normalization and coherence for $\infty$-type theories. https://arxiv.org/abs/2212.11764

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