Martin Dvorak

8 Publications

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[8]
2026 | Submitted | Preprint | IST-REx-ID: 21400 | OA
Sergeev I, Dvorak M, Rampell C, Sandey M, Monticone P. A blueprint for the formalization of Seymour’s matroid decomposition theorem. arXiv. doi:10.48550/arXiv.2601.01255
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Thesis | PhD | IST-REx-ID: 21393 | OA
Dvorak M. Pursuit of truth and beauty in Lean 4 : Formally verified theory of grammars, optimization, matroids. 2026. doi:10.15479/AT-ISTA-21393
[Published Version] View | Files available | DOI
 
[6]
2025 | Published | Journal Article | IST-REx-ID: 10045 | OA
Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. 2025;209:279-322. doi:10.1007/s10107-024-02064-5
[Published Version] View | Files available | DOI | WoS | arXiv
 
[5]
2025 | Submitted | Preprint | IST-REx-ID: 21399 | OA
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2025 | Draft | Preprint | IST-REx-ID: 21398 | OA
Dvorak M, Figueroa-Reid T, Hamadani R, et al. Composition direction of Seymour’s theorem for regular matroids — Formally verified. arXiv. doi:10.48550/arXiv.2509.20539
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Draft | Preprint | IST-REx-ID: 20071 | OA
Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. arXiv. doi:10.48550/arXiv.2409.08119
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[2]
2023 | Published | Conference Paper | IST-REx-ID: 13120 | OA
Dvorak M, Blanchette J. Closure properties of general grammars - formally verified. In: 14th International Conference on Interactive Theorem Proving. Vol 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:10.4230/LIPIcs.ITP.2023.15
[Published Version] View | Files available | DOI | WoS | arXiv
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9592 | OA
Dvorak M, Nicholson S. Massively winning configurations in the convex grabbing game on the plane. In: Proceedings of the 33rd Canadian Conference on Computational Geometry. Canadian Conference on Computational Geometry; 2021.
[Published Version] View | Files available | arXiv
 
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8 Publications

Mark all

[8]
2026 | Submitted | Preprint | IST-REx-ID: 21400 | OA
Sergeev I, Dvorak M, Rampell C, Sandey M, Monticone P. A blueprint for the formalization of Seymour’s matroid decomposition theorem. arXiv. doi:10.48550/arXiv.2601.01255
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Thesis | PhD | IST-REx-ID: 21393 | OA
Dvorak M. Pursuit of truth and beauty in Lean 4 : Formally verified theory of grammars, optimization, matroids. 2026. doi:10.15479/AT-ISTA-21393
[Published Version] View | Files available | DOI
 
[6]
2025 | Published | Journal Article | IST-REx-ID: 10045 | OA
Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. 2025;209:279-322. doi:10.1007/s10107-024-02064-5
[Published Version] View | Files available | DOI | WoS | arXiv
 
[5]
2025 | Submitted | Preprint | IST-REx-ID: 21399 | OA
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2025 | Draft | Preprint | IST-REx-ID: 21398 | OA
Dvorak M, Figueroa-Reid T, Hamadani R, et al. Composition direction of Seymour’s theorem for regular matroids — Formally verified. arXiv. doi:10.48550/arXiv.2509.20539
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Draft | Preprint | IST-REx-ID: 20071 | OA
Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. arXiv. doi:10.48550/arXiv.2409.08119
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[2]
2023 | Published | Conference Paper | IST-REx-ID: 13120 | OA
Dvorak M, Blanchette J. Closure properties of general grammars - formally verified. In: 14th International Conference on Interactive Theorem Proving. Vol 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:10.4230/LIPIcs.ITP.2023.15
[Published Version] View | Files available | DOI | WoS | arXiv
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9592 | OA
Dvorak M, Nicholson S. Massively winning configurations in the convex grabbing game on the plane. In: Proceedings of the 33rd Canadian Conference on Computational Geometry. Canadian Conference on Computational Geometry; 2021.
[Published Version] View | Files available | arXiv
 
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