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A FORMAL PROOF OF THE KEPLER CONJECTURE

A formal proof of the Kepler conjecture
Authors: Hales, T; Adams, M; Bauer, G; Dang, DT; Harrison, J; Hoang, TL; Kaliszyk, C; +15 Authors

A FORMAL PROOF OF THE KEPLER CONJECTURE

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.

Countries
United Kingdom, Austria, Netherlands, Netherlands
Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, HOL Light proof assistant, cs.LO, Mathematics - Metric Geometry, formal proof, QA1-939, FOS: Mathematics, HOL, Packing and covering in \(n\) dimensions (aspects of discrete geometry), math.MG, Data Science, Metric Geometry (math.MG), Isabelle proof assistant, 004, Logic in Computer Science (cs.LO), ball packing, Kepler conjecture, 52C17, Flyspeck project, Mathematics, Theorem proving (deduction, resolution, etc.)

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    215
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 1%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
215
Top 1%
Top 1%
Top 1%
Green
Published in a Diamond OA journal