Algebraic type theory

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• Steve Awodey, Carnegie Mellon University
• Tuesday 30 August 2022, 14:00-15:00
• FW26.

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

A type theoretic universe E —> U bears an algebraic structure resulting from the type-forming operations of unit type, identity type, dependent sum, and dependent product, which may be generalized to form the concept of a “Martin-Löf algebra”. A free ML-algebra is then a model of type theory with special properties. The general theory of such ML-algebras can be seen as a proof-relevant version of the theory of Zermelo-Fraenkel algebras from the algebraic set theory of Joyal & Moerdijk. (This is work in progress.)

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

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