Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)
Yiming Xu and Michael Norrish. Dependently Sorted Theorem Proving for Mathematical Foundations. In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 33:1-33:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{xu_et_al:LIPIcs.ITP.2023.33, author = {Xu, Yiming and Norrish, Michael}, title = {{Dependently Sorted Theorem Proving for Mathematical Foundations}}, booktitle = {14th International Conference on Interactive Theorem Proving (ITP 2023)}, pages = {33:1--33:18}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.33}, URN = {urn:nbn:de:0030-drops-184085}, doi = {10.4230/LIPIcs.ITP.2023.33}, annote = {Keywords: first order logic, sorts, structural set theory, mechanised mathematics, foundation of mathematics, category theory} }
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 97, 22nd International Conference on Types for Proofs and Programs (TYPES 2016)
Auke B. Booij, Martín H. Escardó, Peter LeFanu Lumsdaine, and Michael Shulman. Parametricity, Automorphisms of the Universe, and Excluded Middle. In 22nd International Conference on Types for Proofs and Programs (TYPES 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 97, pp. 7:1-7:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)
@InProceedings{booij_et_al:LIPIcs.TYPES.2016.7, author = {Booij, Auke B. and Escard\'{o}, Mart{\'\i}n H. and Lumsdaine, Peter LeFanu and Shulman, Michael}, title = {{Parametricity, Automorphisms of the Universe, and Excluded Middle}}, booktitle = {22nd International Conference on Types for Proofs and Programs (TYPES 2016)}, pages = {7:1--7:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-065-1}, ISSN = {1868-8969}, year = {2018}, volume = {97}, editor = {Ghilezan, Silvia and Geuvers, Herman and Ivetic, Jelena}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2016.7}, URN = {urn:nbn:de:0030-drops-98554}, doi = {10.4230/LIPIcs.TYPES.2016.7}, annote = {Keywords: relational parametricity, dependent type theory, univalent foundations, homotopy type theory, excluded middle, classical mathematics, constructive mat} }
Published in: LIPIcs, Volume 84, 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)
Daniel R. Licata, Michael Shulman, and Mitchell Riley. A Fibrational Framework for Substructural and Modal Logics. In 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 84, pp. 25:1-25:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{licata_et_al:LIPIcs.FSCD.2017.25, author = {Licata, Daniel R. and Shulman, Michael and Riley, Mitchell}, title = {{A Fibrational Framework for Substructural and Modal Logics}}, booktitle = {2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)}, pages = {25:1--25:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-047-7}, ISSN = {1868-8969}, year = {2017}, volume = {84}, editor = {Miller, Dale}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2017.25}, URN = {urn:nbn:de:0030-drops-77400}, doi = {10.4230/LIPIcs.FSCD.2017.25}, annote = {Keywords: type theory, modal logic, substructural logic, homotopy type theory} }
Published in: LIPIcs, Volume 62, 25th EACSL Annual Conference on Computer Science Logic (CSL 2016)
Kuen-Bang Hou (Favonia) and Michael Shulman. The Seifert-van Kampen Theorem in Homotopy Type Theory. In 25th EACSL Annual Conference on Computer Science Logic (CSL 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 62, pp. 22:1-22:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
@InProceedings{hou(favonia)_et_al:LIPIcs.CSL.2016.22, author = {Hou (Favonia), Kuen-Bang and Shulman, Michael}, title = {{The Seifert-van Kampen Theorem in Homotopy Type Theory}}, booktitle = {25th EACSL Annual Conference on Computer Science Logic (CSL 2016)}, pages = {22:1--22:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-022-4}, ISSN = {1868-8969}, year = {2016}, volume = {62}, editor = {Talbot, Jean-Marc and Regnier, Laurent}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2016.22}, URN = {urn:nbn:de:0030-drops-65626}, doi = {10.4230/LIPIcs.CSL.2016.22}, annote = {Keywords: homotopy type theory, fundamental group, homotopy pushout, mechanized reasoning} }
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