University of Birmingham > Talks@bham > Lab Lunch > Internal higher-categorical models of dependent type theory

Internal higher-categorical models of dependent type theory

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Using dependent type theory to formalise models of dependent type theory is an active topic of study. Formalising the initial such model goes under the name of “type theory eating itself” or “type theory in type theory”. I will explain why this is difficult in the absence of the principle of unique identity proofs (UIP), and how higher categorical models connect two long-standing open problems of homotopy type theory.

This talk is part of the Lab Lunch series.

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