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arXiv · 1501.02155

A formal proof of the Kepler conjecture

Thomas Hales·Mark Adams·Gertrud Bauer·Dat Tat Dang·John Harrison·Truong Le Hoang·Cezary Kaliszyk·Victor Magron·Sean McLaughlin·Thang Tat Nguyen·Truong Quang Nguyen·Tobias Nipkow·Steven Obua·Joseph Pleso·Jason Rute·Alexey Solovyev·An Hoai Thi Ta·Trung Nam Tran·Diep Thi Trieu·Josef Urban·Ky Khac Vu·Roland Zumkeller
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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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Thomas Hales, Mark Adams, Gertrud Bauer, Dat Tat Dang, John Harrison, Truong Le Hoang, Cezary Kaliszyk, Victor Magron, Sean McLaughlin, Thang Tat Nguyen, Truong Quang Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, An Hoai Thi Ta, Trung Nam Tran, Diep Thi Trieu, Josef Urban, Ky Khac Vu, Roland Zumkeller. 2015-01-09. A formal proof of the Kepler conjecture. https://arxiv.org/abs/1501.02155

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