∞-type theories and coherence problems

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• Taichi Uemura, University of Stockholm
• Friday 14 October 2022, 14:00-15:00
• SS03.

If you have a question about this talk, please contact Jamie Vicary.

∞-type theories are a higher dimensional generalization of type theories introduced by Nguyen and the speaker (arXiv:2205.00798). The intended application is coherence problems in the higher categorical semantics of type theories. We gave a clean formulation of a general coherence problem in the language of ∞-type theories but only found a solution for a specific ∞-type theory.

In this talk, I will explain what ∞-type theories are and how coherence problems are formulated. I will also sketch a recent idea for a solution to coherence problems at some level of generality using normalization for ∞-type theories.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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