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Univalent Foundations: New Foundations of Mathematics

https://www.ias.edu/ideas/2014/voevodsky-foundations-video
… Univalent Foundations: New Foundations of Mathematics … one has to pay for it later in self-verification work. The Univalent Foundations project, started at the Institute a few … languages, and the other in pure mathematics. Mathematics Univalent Foundations of Mathematics Videos Vladimir …

Univalent Foundations and the Large-Scale Formalization of Mathematics

https://www.ias.edu/ideas/2013/awodey-coquand-univalent-foundations
… Univalent Foundations and the Large-Scale Formalization of … A related discovery, also due to Voevodsky, is the univalence axiom, which states, roughly, that isomorphic … Univalent Foundations and the Large-Scale Formalization of …

The Origins and Motivations of Univalent Foundations

https://www.ias.edu/ideas/2014/voevodsky-origins
… The Origins and Motivations of Univalent Foundations Mathematics A Personal Mission to … looks completely practical to many people who work on univalent foundations and homotopy type theory. The primary … The Origins and Motivations of Univalent Foundations …

Univalent Foundations - How to Apply

https://www.ias.edu/math/sp/univalent/apply
… Univalent Foundations - How to Apply To apply for Term I, … work (even if you are a homotopy-theorist!) and mention “Univalent Foundations” in the “Specific Field of Research” … Univalent Foundations - How to Apply …

Summer Letter: Univalent Foundations, Exoplanets, Art of Bridging

https://www.ias.edu/press-releases/summer-letter-univalent-foundations-exoplanets-art-bridging
… Summer Letter: Univalent Foundations, Exoplanets, Art of Bridging Summer Letter: Univalent Foundations, Exoplanets, Art of Bridging Email … Share Share Share August 20, 2013 Source Summer Letter: Univalent Foundations, Exoplanets, Art of Bridging … Summer Letter: Univalent Foundations, Exoplanets, Art of Bridging …

Univalent Foundations of Mathematics - Program Description

https://www.ias.edu/math/sp/univalent/goals
… Univalent Foundations of Mathematics - Program Description We … aspects of mathematics and computer science related to the univalent semantics of type theories will also be considered. … issues in constructive type theory related to the univalence axiom. Goals: looking for approaches to the proof …

Univalent Foundations of Mathematics - Important Dates

https://www.ias.edu/math/sp/univalent/dates
… Univalent Foundations of Mathematics - Important Dates … Univalent Foundations of Mathematics - Important Dates …

Homotopy Type Theory Permits ‘Logic of Homotopy Types’

https://www.ias.edu/ideas/2013/homotopy-type-theory
… from the introduction to the book Homotopy Type Theory: Univalent Foundations of Mathematics , written jointly by the … On the one hand, there is Voevodsky’s subtle and beautiful univalence axiom . The univalence axiom implies, in …

Univalent Foundations Seminar

https://www.ias.edu/math/events/univalent-foundations-seminar-27
… Univalent Foundations Seminar Homotopy and Univalence Video Homotopy and Univalence Thorsten Altenkirch , Institute for Advanced Study … Homotopy and Univalence … Univalent Foundations Seminar …

Introduction to the Univalent Foundations of Mathematics

https://www.ias.edu/math/events/introduction-univalent-foundations-mathematics-0
… Introduction to the Univalent Foundations of Mathematics Univalent Foundations of Mathematics The correspondence … are parametrized by more general homotopy types. Univalent Foundations are based on the combination of this … Univalent Foundations of Mathematics … Introduction to the Univalent Foundations of Mathematics …

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