Iowa Type Theory Commute

Interjection: The Liquid Tensor Experiment

March 02, 2023 Aaron Stump Season 4 Episode 7
Interjection: The Liquid Tensor Experiment
Iowa Type Theory Commute
More Info
Iowa Type Theory Commute
Interjection: The Liquid Tensor Experiment
Mar 02, 2023 Season 4 Episode 7
Aaron Stump

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.

Show Notes

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.