Iowa Type Theory Commute artwork

Interjection: The Liquid Tensor Experiment

Iowa Type Theory Commute

English - March 02, 2023 06:00 - 12 minutes - 8.55 MB - ★★★★★ - 13 ratings
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I pause the chapter on extensionality in type theory to talk about something very exciting that I just learned about (though the project was completed Summer 2022): the so-called Liquid Tensor Experiment, to formalize a recent very difficult proof by a mathematician named Peter Scholze, in Lean.  This is the first time in history, that I know of, when a theorem was formalized in a theorem prover, in order to resolve doubts of the mathematician who proved it.  An amazing achievement.  This episode tells the story, as I have understood it on line.  The result apparently sparked this recent workshop.