A formal proof of the Kepler conjecture

Adams, Mark; Bauer, Gertrud; Hales, Thomas; Harrison, John; Hoai Thi Ta, An; Kaliszyk, Cezary; Khac Vu, Ky; Le Hoang, Truong; Magron, Victor; McLaughlin, Sean; Nam Tran, Trung; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Quang Nguyen, Truong; Rute, Jason; Solovyev, Alexey; Tat Dang, Dat; Tat Nguyen, Thang; Thi Trieu, Diep; Urban, Josef; Zumkeller, Roland

A formal proof of the Kepler conjecture

Authors: Mark Adams
Gertrud Bauer
Thomas Hales
John Harrison
An Hoai Thi Ta
Cezary Kaliszyk
Ky Khac Vu
Truong Le Hoang
Victor Magron
Sean McLaughlin
Trung Nam Tran
Tobias Nipkow
Steven Obua
Joseph Pleso
Truong Quang Nguyen
Jason Rute
Alexey Solovyev
Dat Tat Dang
Thang Tat Nguyen
Diep Thi Trieu
Josef Urban
Roland Zumkeller
Publication date: 9 January 2015
Publisher
Doi

Abstract

This article describes a formal proof of the Kepler conjecture on dense sphere packings in a combination of the HOL Light and Isabelle proof assistants. This paper constitutes the official published account of the now completed Flyspeck project

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