English

A formal proof of the Kepler conjecture

Metric Geometry 2015-01-12 v1 Logic in Computer Science

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.

Cite

@article{arxiv.1501.02155,
  title  = {A formal proof of the Kepler conjecture},
  author = {Thomas Hales and Mark Adams and Gertrud Bauer and Dat Tat Dang and John Harrison and Truong Le Hoang and Cezary Kaliszyk and Victor Magron and Sean McLaughlin and Thang Tat Nguyen and Truong Quang Nguyen and Tobias Nipkow and Steven Obua and Joseph Pleso and Jason Rute and Alexey Solovyev and An Hoai Thi Ta and Trung Nam Tran and Diep Thi Trieu and Josef Urban and Ky Khac Vu and Roland Zumkeller},
  journal= {arXiv preprint arXiv:1501.02155},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T07:56:20.769Z