Normalization and coherence for ∞-type theories

12/22/2022

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by   Taichi Uemura, et al.

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