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Steve Awodey, Carnegie Mellon University
Tuesday 30 August 2022, 14:00-15:00
Algebraic type theory
- 👤 Speaker: Steve Awodey, Carnegie Mellon University
- 📅 Date & Time: Tuesday 30 August 2022, 14:00 - 15:00
- 📍 Venue: FW26
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Jamie Vicary
Abstract
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.)
Series This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.
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