Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Mohammad Abdulaziz and Thomas Ammer. A Formal Analysis of Capacity Scaling Algorithms for Minimum Cost Flows. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 3:1-3:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{abdulaziz_et_al:LIPIcs.ITP.2024.3, author = {Abdulaziz, Mohammad and Ammer, Thomas}, title = {{A Formal Analysis of Capacity Scaling Algorithms for Minimum Cost Flows}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {3:1--3:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.3}, URN = {urn:nbn:de:0030-drops-207316}, doi = {10.4230/LIPIcs.ITP.2024.3}, annote = {Keywords: Network Flows, Formal Verification, Combinatorial Optimisation} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Dagur Asgeirsson. Towards Solid Abelian Groups: A Formal Proof of Nöbeling’s Theorem. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 6:1-6:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{asgeirsson:LIPIcs.ITP.2024.6, author = {Asgeirsson, Dagur}, title = {{Towards Solid Abelian Groups: A Formal Proof of N\"{o}beling’s Theorem}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {6:1--6:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.6}, URN = {urn:nbn:de:0030-drops-207347}, doi = {10.4230/LIPIcs.ITP.2024.6}, annote = {Keywords: Condensed mathematics, N\"{o}beling’s theorem, Lean, Mathlib, Interactive theorem proving} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Henning Basold, Peter Bruin, and Dominique Lawson. The Directed Van Kampen Theorem in Lean. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 8:1-8:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{basold_et_al:LIPIcs.ITP.2024.8, author = {Basold, Henning and Bruin, Peter and Lawson, Dominique}, title = {{The Directed Van Kampen Theorem in Lean}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {8:1--8:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.8}, URN = {urn:nbn:de:0030-drops-207368}, doi = {10.4230/LIPIcs.ITP.2024.8}, annote = {Keywords: Lean, Directed Topology, Van Kampen Theorem, Directed Homotopy Theory, Formalised Mathematics} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Fabian Huch and Makarius Wenzel. Distributed Parallel Build for the Isabelle Archive of Formal Proofs. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 22:1-22:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{huch_et_al:LIPIcs.ITP.2024.22, author = {Huch, Fabian and Wenzel, Makarius}, title = {{Distributed Parallel Build for the Isabelle Archive of Formal Proofs}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {22:1--22:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.22}, URN = {urn:nbn:de:0030-drops-207505}, doi = {10.4230/LIPIcs.ITP.2024.22}, annote = {Keywords: Interactive theorem proving, Isabelle, Archive of Formal Proofs, Theorem prover technology, Distributed computing, Schedule optimization} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Kai Obendrauf, Anne Baanen, Patrick Koopmann, and Vera Stebletsova. Lean Formalization of Completeness Proof for Coalition Logic with Common Knowledge. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 28:1-28:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{obendrauf_et_al:LIPIcs.ITP.2024.28, author = {Obendrauf, Kai and Baanen, Anne and Koopmann, Patrick and Stebletsova, Vera}, title = {{Lean Formalization of Completeness Proof for Coalition Logic with Common Knowledge}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {28:1--28:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.28}, URN = {urn:nbn:de:0030-drops-207560}, doi = {10.4230/LIPIcs.ITP.2024.28}, annote = {Keywords: Multi-agent systems, Coalition Logic, Epistemic Logic, common knowledge, completeness, formal methods, Lean prover} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Bernardo Subercaseaux, Wojciech Nawrocki, James Gallicchio, Cayden Codel, Mario Carneiro, and Marijn J. H. Heule. Formal Verification of the Empty Hexagon Number. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 35:1-35:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{subercaseaux_et_al:LIPIcs.ITP.2024.35, author = {Subercaseaux, Bernardo and Nawrocki, Wojciech and Gallicchio, James and Codel, Cayden and Carneiro, Mario and Heule, Marijn J. H.}, title = {{Formal Verification of the Empty Hexagon Number}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {35:1--35:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.35}, URN = {urn:nbn:de:0030-drops-207633}, doi = {10.4230/LIPIcs.ITP.2024.35}, annote = {Keywords: Empty Hexagon Number, Discrete Computational Geometry, Erd\H{o}s-Szekeres} }
Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Floris van Doorn and Heather Macbeth. Integrals Within Integrals: A Formalization of the Gagliardo-Nirenberg-Sobolev Inequality. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 37:1-37:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{vandoorn_et_al:LIPIcs.ITP.2024.37, author = {van Doorn, Floris and Macbeth, Heather}, title = {{Integrals Within Integrals: A Formalization of the Gagliardo-Nirenberg-Sobolev Inequality}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {37:1--37:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-337-9}, ISSN = {1868-8969}, year = {2024}, volume = {309}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2024.37}, URN = {urn:nbn:de:0030-drops-207657}, doi = {10.4230/LIPIcs.ITP.2024.37}, annote = {Keywords: Sobolev inequality, measure theory, Lean, formalized mathematics} }
Published in: LIPIcs, Volume 303, 29th International Conference on Types for Proofs and Programs (TYPES 2023)
Jelle Wemmenhove, Cosmin Manea, and Jim Portegies. Classification of Covering Spaces and Canonical Change of Basepoint. In 29th International Conference on Types for Proofs and Programs (TYPES 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 303, pp. 1:1-1:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{wemmenhove_et_al:LIPIcs.TYPES.2023.1, author = {Wemmenhove, Jelle and Manea, Cosmin and Portegies, Jim}, title = {{Classification of Covering Spaces and Canonical Change of Basepoint}}, booktitle = {29th International Conference on Types for Proofs and Programs (TYPES 2023)}, pages = {1:1--1:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-332-4}, ISSN = {1868-8969}, year = {2024}, volume = {303}, editor = {Kesner, Delia and Reyes, Eduardo Hermo and van den Berg, Benno}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2023.1}, URN = {urn:nbn:de:0030-drops-204795}, doi = {10.4230/LIPIcs.TYPES.2023.1}, annote = {Keywords: Synthetic Homotopy Theory, Homotopy Type Theory, Covering Spaces, Change-of-Basepoint Isomorphism} }
Published in: LIPIcs, Volume 299, 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)
Sebastian Ullrich. Lean: Past, Present, and Future (Invited Talk). In 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 299, pp. 3:1-3:2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{ullrich:LIPIcs.FSCD.2024.3, author = {Ullrich, Sebastian}, title = {{Lean: Past, Present, and Future}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {3:1--3:2}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.3}, URN = {urn:nbn:de:0030-drops-203328}, doi = {10.4230/LIPIcs.FSCD.2024.3}, annote = {Keywords: Lean, interactive theorem proving, focused research organization, history} }
Published in: LIPIcs, Volume 299, 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)
Maximilian Doré, Evan Cavallo, and Anders Mörtberg. Automating Boundary Filling in Cubical Agda. In 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 299, pp. 22:1-22:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{dore_et_al:LIPIcs.FSCD.2024.22, author = {Dor\'{e}, Maximilian and Cavallo, Evan and M\"{o}rtberg, Anders}, title = {{Automating Boundary Filling in Cubical Agda}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {22:1--22:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.22}, URN = {urn:nbn:de:0030-drops-203514}, doi = {10.4230/LIPIcs.FSCD.2024.22}, annote = {Keywords: Cubical Agda, Automated Reasoning, Constraint Satisfaction Programming} }
Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)
Martin Dvorak and Jasmin Blanchette. Closure Properties of General Grammars – Formally Verified. In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 15:1-15:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{dvorak_et_al:LIPIcs.ITP.2023.15, author = {Dvorak, Martin and Blanchette, Jasmin}, title = {{Closure Properties of General Grammars – Formally Verified}}, booktitle = {14th International Conference on Interactive Theorem Proving (ITP 2023)}, pages = {15:1--15:16}, 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.2023.15}, URN = {urn:nbn:de:0030-drops-183906}, doi = {10.4230/LIPIcs.ITP.2023.15}, annote = {Keywords: Lean, type-0 grammars, recursively enumerable languages, Kleene star} }
Published in: LIPIcs, Volume 193, 12th International Conference on Interactive Theorem Proving (ITP 2021)
Floris van Doorn. Formalized Haar Measure. In 12th International Conference on Interactive Theorem Proving (ITP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 193, pp. 18:1-18:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{vandoorn:LIPIcs.ITP.2021.18, author = {van Doorn, Floris}, title = {{Formalized Haar Measure}}, booktitle = {12th International Conference on Interactive Theorem Proving (ITP 2021)}, pages = {18:1--18:17}, 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.2021.18}, URN = {urn:nbn:de:0030-drops-139139}, doi = {10.4230/LIPIcs.ITP.2021.18}, annote = {Keywords: Haar measure, measure theory, Bochner integral, Lean, interactive theorem proving, formalized mathematics} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Stefano Piceghello. Coherence for Monoidal Groupoids in HoTT. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 8:1-8:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{piceghello:LIPIcs.TYPES.2019.8, author = {Piceghello, Stefano}, title = {{Coherence for Monoidal Groupoids in HoTT}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {8:1--8:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-158-0}, ISSN = {1868-8969}, year = {2020}, volume = {175}, editor = {Bezem, Marc and Mahboubi, Assia}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.8}, URN = {urn:nbn:de:0030-drops-130722}, doi = {10.4230/LIPIcs.TYPES.2019.8}, annote = {Keywords: homotopy type theory, coherence, monoidal categories, groupoids, higher inductive types, formalisation, Coq} }
Published in: LIPIcs, Volume 141, 10th International Conference on Interactive Theorem Proving (ITP 2019)
Jesse Michael Han and Floris van Doorn. A Formalization of Forcing and the Unprovability of the Continuum Hypothesis. In 10th International Conference on Interactive Theorem Proving (ITP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 141, pp. 19:1-19:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{han_et_al:LIPIcs.ITP.2019.19, author = {Han, Jesse Michael and van Doorn, Floris}, title = {{A Formalization of Forcing and the Unprovability of the Continuum Hypothesis}}, booktitle = {10th International Conference on Interactive Theorem Proving (ITP 2019)}, pages = {19:1--19:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-122-1}, ISSN = {1868-8969}, year = {2019}, volume = {141}, editor = {Harrison, John and O'Leary, John and Tolmach, Andrew}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2019.19}, URN = {urn:nbn:de:0030-drops-110742}, doi = {10.4230/LIPIcs.ITP.2019.19}, annote = {Keywords: Interactive theorem proving, formal verification, set theory, forcing, independence proofs, continuum hypothesis, Boolean-valued models, Lean} }
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