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A formal proof of the Kepler conjecture

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arxiv 1501.02155 v1 pith:OL7XNF2Q submitted 2015-01-09 math.MG cs.LO

Thomas Hales , Mark Adams , Gertrud Bauer , Dat Tat Dang , John Harrison , Truong Le Hoang , Cezary Kaliszyk , Victor Magron
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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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classification math.MGcs.LO
keywords proofconjectureformalkepleraccountarticleassistantscombination
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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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  1. Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases

    cs.AI 2026-07 conditional novelty 5.0 of 10

    Autoformalization should target complete theories—axioms, definitions, lemmas, proofs—as unified formal libraries, not isolated statements.

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