Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)
David Kurniadi Angdinata and Junyan Xu. An Elementary Formal Proof of the Group Law on Weierstrass Elliptic Curves in Any Characteristic. In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 6:1-6:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)
@InProceedings{angdinata_et_al:LIPIcs.ITP.2023.6, author = {Angdinata, David Kurniadi and Xu, Junyan}, title = {{An Elementary Formal Proof of the Group Law on Weierstrass Elliptic Curves in Any Characteristic}}, booktitle = {14th International Conference on Interactive Theorem Proving (ITP 2023)}, pages = {6:1--6:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-284-6}, ISSN = {1868-8969}, year = {2023}, volume = {268}, editor = {Naumowicz, Adam and Thiemann, Ren\'{e}}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.6}, URN = {urn:nbn:de:0030-drops-183817}, doi = {10.4230/LIPIcs.ITP.2023.6}, annote = {Keywords: formal math, algebraic geometry, elliptic curve, group law, Lean, mathlib} }
Published in: LIPIcs, Volume 237, 13th International Conference on Interactive Theorem Proving (ITP 2022)
Anne Baanen. Use and Abuse of Instance Parameters in the Lean Mathematical Library. In 13th International Conference on Interactive Theorem Proving (ITP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 237, pp. 4:1-4:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{baanen:LIPIcs.ITP.2022.4, author = {Baanen, Anne}, title = {{Use and Abuse of Instance Parameters in the Lean Mathematical Library}}, booktitle = {13th International Conference on Interactive Theorem Proving (ITP 2022)}, pages = {4:1--4:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-252-5}, ISSN = {1868-8969}, year = {2022}, volume = {237}, editor = {Andronick, June and de Moura, Leonardo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2022.4}, URN = {urn:nbn:de:0030-drops-167131}, doi = {10.4230/LIPIcs.ITP.2022.4}, annote = {Keywords: formalization of mathematics, dependent type theory, typeclasses, algebraic hierarchy, Lean prover} }
Published in: LIPIcs, Volume 237, 13th International Conference on Interactive Theorem Proving (ITP 2022)
Yaël Dillies and Bhavik Mehta. Formalising Szemerédi’s Regularity Lemma in Lean. In 13th International Conference on Interactive Theorem Proving (ITP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 237, pp. 9:1-9:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{dillies_et_al:LIPIcs.ITP.2022.9, author = {Dillies, Ya\"{e}l and Mehta, Bhavik}, title = {{Formalising Szemer\'{e}di’s Regularity Lemma in Lean}}, booktitle = {13th International Conference on Interactive Theorem Proving (ITP 2022)}, pages = {9:1--9:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-252-5}, ISSN = {1868-8969}, year = {2022}, volume = {237}, editor = {Andronick, June and de Moura, Leonardo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2022.9}, URN = {urn:nbn:de:0030-drops-167185}, doi = {10.4230/LIPIcs.ITP.2022.9}, annote = {Keywords: Lean, formalisation, formal proof, graph theory, combinatorics, additive combinatorics, Szemer\'{e}di’s Regularity Lemma, Roth’s Theorem} }
Published in: LIPIcs, Volume 237, 13th International Conference on Interactive Theorem Proving (ITP 2022)
Yury Kudryashov. Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean. In 13th International Conference on Interactive Theorem Proving (ITP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 237, pp. 23:1-23:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{kudryashov:LIPIcs.ITP.2022.23, author = {Kudryashov, Yury}, title = {{Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean}}, booktitle = {13th International Conference on Interactive Theorem Proving (ITP 2022)}, pages = {23:1--23:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-252-5}, ISSN = {1868-8969}, year = {2022}, volume = {237}, editor = {Andronick, June and de Moura, Leonardo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2022.23}, URN = {urn:nbn:de:0030-drops-167326}, doi = {10.4230/LIPIcs.ITP.2022.23}, annote = {Keywords: divergence theorem, Green’s theorem, Gauge integral, Cauchy integral formula, Cauchy-Goursat theorem, complex analysis} }
Published in: LIPIcs, Volume 237, 13th International Conference on Interactive Theorem Proving (ITP 2022)
Kazuhiko Sakaguchi. Reflexive Tactics for Algebra, Revisited. In 13th International Conference on Interactive Theorem Proving (ITP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 237, pp. 29:1-29:22, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{sakaguchi:LIPIcs.ITP.2022.29, author = {Sakaguchi, Kazuhiko}, title = {{Reflexive Tactics for Algebra, Revisited}}, booktitle = {13th International Conference on Interactive Theorem Proving (ITP 2022)}, pages = {29:1--29:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-252-5}, ISSN = {1868-8969}, year = {2022}, volume = {237}, editor = {Andronick, June and de Moura, Leonardo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2022.29}, URN = {urn:nbn:de:0030-drops-167385}, doi = {10.4230/LIPIcs.ITP.2022.29}, annote = {Keywords: Coq, Elpi, \lambdaProlog, Mathematical Components, algebraic structures, packed classes, canonical structures, proof by reflection} }
Published in: LIPIcs, Volume 193, 12th International Conference on Interactive Theorem Proving (ITP 2021)
Anne Baanen, Sander R. Dahmen, Ashvni Narayanan, and Filippo A. E. Nuccio Mortarino Majno di Capriglio. A Formalization of Dedekind Domains and Class Groups of Global Fields. In 12th International Conference on Interactive Theorem Proving (ITP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 193, pp. 5:1-5:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{baanen_et_al:LIPIcs.ITP.2021.5, author = {Baanen, Anne and Dahmen, Sander R. and Narayanan, Ashvni and Nuccio Mortarino Majno di Capriglio, Filippo A. E.}, title = {{A Formalization of Dedekind Domains and Class Groups of Global Fields}}, booktitle = {12th International Conference on Interactive Theorem Proving (ITP 2021)}, pages = {5:1--5:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-188-7}, ISSN = {1868-8969}, year = {2021}, volume = {193}, editor = {Cohen, Liron and Kaliszyk, Cezary}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2021.5}, URN = {urn:nbn:de:0030-drops-139004}, doi = {10.4230/LIPIcs.ITP.2021.5}, annote = {Keywords: formal math, algebraic number theory, commutative algebra, Lean, mathlib} }
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