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arXiv:1501.02155math.MG

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.

arXiv comments
21 pages
Journal reference
DOI
Subjects
math.MGMetric Geometry cs.LOLogic in Computer Science

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Discussed in comments1 thread

    • In this particular case, the proof literally hasn’t been written up yet! The papers are works in progress, only one of which has been even posted as a preprint so far. But in general it’s reasonably common for a proof to have been written up to the best of the author’s ability…

      robinhoustonView on HNParent context

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