The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The lean mathematical library
Open accessAbstract
This paper describes mathlib, a community-driven effort to build a unified library of mathematics formalized in the Lean proof assistant. Among proof assistant libraries, it is distinguished by its dependently typed foundations, focus on classical mathematics, extensive hierarchy of structures, use of large- and small-scale automation, and distributed organization. We explain the architecture and design decisions of the library and the social organization that has led to its development.
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Cites
On large subsets of $\mathbb{F}_q^n$ with no three-term arithmetic progression
Ellenberg, J., & Gijswijt, D. (2017) · Annals of Mathematics · doi:10.4007/annals.2017.185.1.8 · Cited by 146
Cited by
The Lean 4 Theorem Prover and Programming Language
Moura, L. D., & Ullrich, S. (2021) · Lecture Notes in Computer Science · doi:10.1007/978-3-030-79876-5_37 · Cited by 258
StarCoder 2 and The Stack v2: The Next Generation
Lozhkov, A., Li, R., Allal, L. B., Cassano, F., Lamy-Poirier, J., Tazi, N., Tang, A., Pykhtar, D., Liu, J., Wei, Y., et al. (2024) · arXiv · doi:10.48550/arxiv.2402.19173 · Cited by 74
HyperTree Proof Search for Neural Theorem Proving
Lample, G., Lacroix, T., Lachaux, M.-A., Rodriguez, A., Hayat, A., Lavril, T., Ebner, G., & Martinet, X. (2022) · Advances in Neural Information Processing Systems 35 · doi:10.52202/068431-1910 · Cited by 45
HyperTree Proof Search for Neural Theorem Proving
Lample, G., Lachaux, M.-A., Lavril, T., Martinet, X., Hayat, A., Ebner, G., Rodriguez, A., & Lacroix, T. (2022) · arXiv · doi:10.48550/arxiv.2205.11491 · Cited by 45
Maintaining a Library of Formal Mathematics
van Doorn, F., Ebner, G., & Lewis, R. Y. (2020) · Lecture Notes in Computer Science · doi:10.1007/978-3-030-53518-6_16 · Cited by 29
Metadata
- Authors
- Community, T. M.
- Venue
- Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs
- Publisher
- ACM
- Published
- 2020-01-20
- Pages
- 367-381
- OpenAlex
- W2981188613
- Cited by
- 161
- References
- 1
- FWCI
- 5.44
- Type
- conference paper
- Language
- en
- Open access
- green
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- Community, T. M. (2020). The lean mathematical library. Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs. https://doi.org/10.1145/3372885.3373824
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
