Published in: LIPIcs, Volume 309, 15th International Conference on Interactive Theorem Proving (ITP 2024)
Max Zeuner and Matthias Hutzler. The Functor of Points Approach to Schemes in Cubical Agda. In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 38:1-38:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{zeuner_et_al:LIPIcs.ITP.2024.38, author = {Zeuner, Max and Hutzler, Matthias}, title = {{The Functor of Points Approach to Schemes in Cubical Agda}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, pages = {38:1--38:18}, 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.2024.38}, URN = {urn:nbn:de:0030-drops-207667}, doi = {10.4230/LIPIcs.ITP.2024.38}, annote = {Keywords: Schemes, Algebraic Geometry, Category Theory, Cubical Agda, Homotopy Type Theory and Univalent Foundations, Constructive 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)
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 299, 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)
Camil Champin, Samuel Mimram, and Émile Oleon. Delooping Generated Groups in Homotopy Type Theory. In 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 299, pp. 6:1-6:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{champin_et_al:LIPIcs.FSCD.2024.6, author = {Champin, Camil and Mimram, Samuel and Oleon, \'{E}mile}, title = {{Delooping Generated Groups in Homotopy Type Theory}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {6:1--6:20}, 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.2024.6}, URN = {urn:nbn:de:0030-drops-203356}, doi = {10.4230/LIPIcs.FSCD.2024.6}, annote = {Keywords: homotopy type theory, delooping, group, generator, Cayley graph} }
Published in: OASIcs, Volume 118, 5th International Workshop on Formal Methods for Blockchains (FMBC 2024)
Derek Sorensen. Towards Formally Specifying and Verifying Smart Contract Upgrades in Coq. In 5th International Workshop on Formal Methods for Blockchains (FMBC 2024). Open Access Series in Informatics (OASIcs), Volume 118, pp. 7:1-7:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{sorensen:OASIcs.FMBC.2024.7, author = {Sorensen, Derek}, title = {{Towards Formally Specifying and Verifying Smart Contract Upgrades in Coq}}, booktitle = {5th International Workshop on Formal Methods for Blockchains (FMBC 2024)}, pages = {7:1--7:14}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-95977-317-1}, ISSN = {2190-6807}, year = {2024}, volume = {118}, editor = {Bernardo, Bruno and Marmsoler, Diego}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.FMBC.2024.7}, URN = {urn:nbn:de:0030-drops-198728}, doi = {10.4230/OASIcs.FMBC.2024.7}, annote = {Keywords: smart contract verification, formal methods, interactive theorem prover, smart contract upgrades} }
Published in: LIPIcs, Volume 269, 28th International Conference on Types for Proofs and Programs (TYPES 2022)
Max Zeuner and Anders Mörtberg. A Univalent Formalization of Constructive Affine Schemes. In 28th International Conference on Types for Proofs and Programs (TYPES 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 269, pp. 14:1-14:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{zeuner_et_al:LIPIcs.TYPES.2022.14, author = {Zeuner, Max and M\"{o}rtberg, Anders}, title = {{A Univalent Formalization of Constructive Affine Schemes}}, booktitle = {28th International Conference on Types for Proofs and Programs (TYPES 2022)}, pages = {14:1--14:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-285-3}, ISSN = {1868-8969}, year = {2023}, volume = {269}, editor = {Kesner, Delia and P\'{e}drot, Pierre-Marie}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2022.14}, URN = {urn:nbn:de:0030-drops-184574}, doi = {10.4230/LIPIcs.TYPES.2022.14}, annote = {Keywords: Affine Schemes, Homotopy Type Theory and Univalent Foundations, Cubical Agda, Constructive Mathematics} }
Published in: LIPIcs, Volume 216, 30th EACSL Annual Conference on Computer Science Logic (CSL 2022)
Guillaume Brunerie, Axel Ljungström, and Anders Mörtberg. Synthetic Integral Cohomology in Cubical Agda. In 30th EACSL Annual Conference on Computer Science Logic (CSL 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 216, pp. 11:1-11:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{brunerie_et_al:LIPIcs.CSL.2022.11, author = {Brunerie, Guillaume and Ljungstr\"{o}m, Axel and M\"{o}rtberg, Anders}, title = {{Synthetic Integral Cohomology in Cubical Agda}}, booktitle = {30th EACSL Annual Conference on Computer Science Logic (CSL 2022)}, pages = {11:1--11:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-218-1}, ISSN = {1868-8969}, year = {2022}, volume = {216}, editor = {Manea, Florin and Simpson, Alex}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2022.11}, URN = {urn:nbn:de:0030-drops-157310}, doi = {10.4230/LIPIcs.CSL.2022.11}, annote = {Keywords: Synthetic Homotopy Theory, Cohomology Theory, Cubical Agda} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Nils Anders Danielsson. Higher Inductive Type Eliminators Without Paths. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 10:1-10:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{danielsson:LIPIcs.TYPES.2019.10, author = {Danielsson, Nils Anders}, title = {{Higher Inductive Type Eliminators Without Paths}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {10:1--10:18}, 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.2019.10}, URN = {urn:nbn:de:0030-drops-130749}, doi = {10.4230/LIPIcs.TYPES.2019.10}, annote = {Keywords: Cubical Agda, higher inductive types} }
Published in: LIPIcs, Volume 152, 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Evan Cavallo and Robert Harper. Internal Parametricity for Cubical Type Theory. In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 13:1-13:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{cavallo_et_al:LIPIcs.CSL.2020.13, author = {Cavallo, Evan and Harper, Robert}, title = {{Internal Parametricity for Cubical Type Theory}}, booktitle = {28th EACSL Annual Conference on Computer Science Logic (CSL 2020)}, pages = {13:1--13:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-132-0}, ISSN = {1868-8969}, year = {2020}, volume = {152}, editor = {Fern\'{a}ndez, Maribel and Muscholl, Anca}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2020.13}, URN = {urn:nbn:de:0030-drops-116564}, doi = {10.4230/LIPIcs.CSL.2020.13}, annote = {Keywords: parametricity, cubical type theory, higher inductive types} }
Published in: LIPIcs, Volume 152, 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Evan Cavallo, Anders Mörtberg, and Andrew W Swan. Unifying Cubical Models of Univalent Type Theory. In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 14:1-14:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{cavallo_et_al:LIPIcs.CSL.2020.14, author = {Cavallo, Evan and M\"{o}rtberg, Anders and Swan, Andrew W}, title = {{Unifying Cubical Models of Univalent Type Theory}}, booktitle = {28th EACSL Annual Conference on Computer Science Logic (CSL 2020)}, pages = {14:1--14:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-132-0}, ISSN = {1868-8969}, year = {2020}, volume = {152}, editor = {Fern\'{a}ndez, Maribel and Muscholl, Anca}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2020.14}, URN = {urn:nbn:de:0030-drops-116578}, doi = {10.4230/LIPIcs.CSL.2020.14}, annote = {Keywords: Cubical Set Models, Cubical Type Theory, Homotopy Type Theory, Univalent Foundations} }
Published in: LIPIcs, Volume 131, 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)
Jonathan Sterling, Carlo Angiuli, and Daniel Gratzer. Cubical Syntax for Reflection-Free Extensional Equality. In 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 131, pp. 31:1-31:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{sterling_et_al:LIPIcs.FSCD.2019.31, author = {Sterling, Jonathan and Angiuli, Carlo and Gratzer, Daniel}, title = {{Cubical Syntax for Reflection-Free Extensional Equality}}, booktitle = {4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)}, pages = {31:1--31:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-107-8}, ISSN = {1868-8969}, year = {2019}, volume = {131}, editor = {Geuvers, Herman}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2019.31}, URN = {urn:nbn:de:0030-drops-105387}, doi = {10.4230/LIPIcs.FSCD.2019.31}, annote = {Keywords: Dependent type theory, extensional equality, cubical type theory, categorical gluing, canonicity} }
Published in: LIPIcs, Volume 69, 21st International Conference on Types for Proofs and Programs (TYPES 2015) (2018)
Cyril Cohen, Thierry Coquand, Simon Huber, and Anders Mörtberg. Cubical Type Theory: A Constructive Interpretation of the Univalence Axiom. In 21st International Conference on Types for Proofs and Programs (TYPES 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 69, pp. 5:1-5:34, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)
@InProceedings{cohen_et_al:LIPIcs.TYPES.2015.5, author = {Cohen, Cyril and Coquand, Thierry and Huber, Simon and M\"{o}rtberg, Anders}, title = {{Cubical Type Theory: A Constructive Interpretation of the Univalence Axiom}}, booktitle = {21st International Conference on Types for Proofs and Programs (TYPES 2015)}, pages = {5:1--5:34}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-030-9}, ISSN = {1868-8969}, year = {2018}, volume = {69}, editor = {Uustalu, Tarmo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2015.5}, URN = {urn:nbn:de:0030-drops-84754}, doi = {10.4230/LIPIcs.TYPES.2015.5}, annote = {Keywords: univalence axiom, dependent type theory, cubical sets} }
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