Published in: LIPIcs, Volume 202, 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)
Nicolai Kraus, Fredrik Nordvall Forsberg, and Chuangjie Xu. Connecting Constructive Notions of Ordinals in Homotopy Type Theory. In 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 202, pp. 70:1-70:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{kraus_et_al:LIPIcs.MFCS.2021.70, author = {Kraus, Nicolai and Nordvall Forsberg, Fredrik and Xu, Chuangjie}, title = {{Connecting Constructive Notions of Ordinals in Homotopy Type Theory}}, booktitle = {46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)}, pages = {70:1--70:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-201-3}, ISSN = {1868-8969}, year = {2021}, volume = {202}, editor = {Bonchi, Filippo and Puglisi, Simon J.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2021.70}, URN = {urn:nbn:de:0030-drops-145100}, doi = {10.4230/LIPIcs.MFCS.2021.70}, annote = {Keywords: Constructive ordinals, Cantor normal forms, Brouwer trees} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Gun Pinyo and Nicolai Kraus. From Cubes to Twisted Cubes via Graph Morphisms in Type Theory. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 5:1-5:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{pinyo_et_al:LIPIcs.TYPES.2019.5, author = {Pinyo, Gun and Kraus, Nicolai}, title = {{From Cubes to Twisted Cubes via Graph Morphisms in Type Theory}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {5:1--5:18}, 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.2019.5}, URN = {urn:nbn:de:0030-drops-130694}, doi = {10.4230/LIPIcs.TYPES.2019.5}, annote = {Keywords: homotopy type theory, cubical sets, directed equality, graph morphisms} }
Published in: LIPIcs, Volume 62, 25th EACSL Annual Conference on Computer Science Logic (CSL 2016)
Thorsten Altenkirch, Paolo Capriotti, and Nicolai Kraus. Extending Homotopy Type Theory with Strict Equality. In 25th EACSL Annual Conference on Computer Science Logic (CSL 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 62, pp. 21:1-21:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
@InProceedings{altenkirch_et_al:LIPIcs.CSL.2016.21, author = {Altenkirch, Thorsten and Capriotti, Paolo and Kraus, Nicolai}, title = {{Extending Homotopy Type Theory with Strict Equality}}, booktitle = {25th EACSL Annual Conference on Computer Science Logic (CSL 2016)}, pages = {21:1--21:17}, 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.2016.21}, URN = {urn:nbn:de:0030-drops-65612}, doi = {10.4230/LIPIcs.CSL.2016.21}, annote = {Keywords: homotopy type theory, coherences, strict equality, homotopy type system} }
Published in: LIPIcs, Volume 39, 20th International Conference on Types for Proofs and Programs (TYPES 2014)
Nicolai Kraus. The General Universal Property of the Propositional Truncation. In 20th International Conference on Types for Proofs and Programs (TYPES 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 39, pp. 111-145, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{kraus:LIPIcs.TYPES.2014.111, author = {Kraus, Nicolai}, title = {{The General Universal Property of the Propositional Truncation}}, booktitle = {20th International Conference on Types for Proofs and Programs (TYPES 2014)}, pages = {111--145}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-88-0}, ISSN = {1868-8969}, year = {2015}, volume = {39}, editor = {Herbelin, Hugo and Letouzey, Pierre and Sozeau, Matthieu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2014.111}, URN = {urn:nbn:de:0030-drops-54944}, doi = {10.4230/LIPIcs.TYPES.2014.111}, annote = {Keywords: coherence conditions, propositional truncation, Reedy limits, universal property, well-behaved constancy} }
Published in: LIPIcs, Volume 41, 24th EACSL Annual Conference on Computer Science Logic (CSL 2015)
Paolo Capriotti, Nicolai Kraus, and Andrea Vezzosi. Functions out of Higher Truncations. In 24th EACSL Annual Conference on Computer Science Logic (CSL 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 41, pp. 359-373, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{capriotti_et_al:LIPIcs.CSL.2015.359, author = {Capriotti, Paolo and Kraus, Nicolai and Vezzosi, Andrea}, title = {{Functions out of Higher Truncations}}, booktitle = {24th EACSL Annual Conference on Computer Science Logic (CSL 2015)}, pages = {359--373}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-90-3}, ISSN = {1868-8969}, year = {2015}, volume = {41}, editor = {Kreutzer, Stephan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2015.359}, URN = {urn:nbn:de:0030-drops-54257}, doi = {10.4230/LIPIcs.CSL.2015.359}, annote = {Keywords: homotopy type theory, truncation elimination, constancy on loop spaces} }
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