The Four Colour Theorem: Engineering of a Formal Proof
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Formal verification tools have enabled significant achievements, including the formal verification of the four-colour theorem and the CompCert C compiler.
“These tools have enabled significant achievements, including the formal verification of the four-colour theorem32 and critical software such as the CompCert C compiler33.”
From Olympiad-level formal mathematical reasoning with reinforcement learning (2026) · cites this paper as [32]
Cited by
Sorted by citations
Olympiad-level formal mathematical reasoning with reinforcement learning
Hubert, T., Mehta, R., Sartran, L., Horváth, M. Z., Žužić, G., Wieser, E., Huang, A., Schrittwieser, J., Schroecker, Y., Masoom, H., et al. (2026) · Nature · doi:10.1038/s41586-025-09833-y · Cited by 19 · see citing works
- Authors
- Gonthier, G.
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer Berlin Heidelberg
- Published
- 2008
- Pages
- 333-333
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W1503170941
- Cited by
- 117
- References
- 0
- Citations by year
- 2026: 1 · 2025: 6 · 2024: 4 · 2023: 8 · 2022: 2 · 2021: 4 · 2020: 7 · 2019: 7 · 2018: 13 · 2017: 7 · 2016: 9 · 2015: 10 · 2014: 7 · 2013: 11 · 2012: 4
- FWCI
- 4.21
- Type
- conference paper
- Language
- en
- Open access
- closed
- Licence
- Locations
- Lecture notes in computer science (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Logic, programming, and type systems
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Formal Methods in Verification
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Advanced Graph Theory Research
- Keywords
- four-color theorem, machine-checked proofs, Coq, formal verification, planarity, hypermaps, Jordan curve theorem, graph coloring
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
