LIPIcs, Volume 175
TYPES 2019, June 11-14, 2019, Oslo, Norway
Editors: Marc Bezem and Assia Mahboubi
Published in: LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)
Yannick Forster, Dominik Kirst, and Niklas Mück. The Kleene-Post and Post’s Theorem in the Calculus of Inductive Constructions. In 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 288, pp. 29:1-29:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{forster_et_al:LIPIcs.CSL.2024.29, author = {Forster, Yannick and Kirst, Dominik and M\"{u}ck, Niklas}, title = {{The Kleene-Post and Post’s Theorem in the Calculus of Inductive Constructions}}, booktitle = {32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)}, pages = {29:1--29:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-310-2}, ISSN = {1868-8969}, year = {2024}, volume = {288}, editor = {Murano, Aniello and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.29}, URN = {urn:nbn:de:0030-drops-196728}, doi = {10.4230/LIPIcs.CSL.2024.29}, annote = {Keywords: Constructive mathematics, Computability theory, Logical foundations, Constructive type theory, Interactive theorem proving, Coq proof assistant} }
Published in: LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)
Assia Mahboubi and Matthieu Piquerez. A First Order Theory of Diagram Chasing. In 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 288, pp. 38:1-38:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{mahboubi_et_al:LIPIcs.CSL.2024.38, author = {Mahboubi, Assia and Piquerez, Matthieu}, title = {{A First Order Theory of Diagram Chasing}}, booktitle = {32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)}, pages = {38:1--38:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-310-2}, ISSN = {1868-8969}, year = {2024}, volume = {288}, editor = {Murano, Aniello and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.38}, URN = {urn:nbn:de:0030-drops-196817}, doi = {10.4230/LIPIcs.CSL.2024.38}, annote = {Keywords: Diagram chasing, formal proofs, abelian categories, decidability} }
Published in: LIPIcs, Volume 270, 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)
Assia Mahboubi. Machine-Checked Computational Mathematics (Invited Talk). In 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 270, p. 5:1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{mahboubi:LIPIcs.CALCO.2023.5, author = {Mahboubi, Assia}, title = {{Machine-Checked Computational Mathematics}}, booktitle = {10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)}, pages = {5:1--5:1}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-287-7}, ISSN = {1868-8969}, year = {2023}, volume = {270}, editor = {Baldan, Paolo and de Paiva, Valeria}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2023.5}, URN = {urn:nbn:de:0030-drops-188024}, doi = {10.4230/LIPIcs.CALCO.2023.5}, annote = {Keywords: Type theory, computer algebra, interactive theorem proving} }
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-dev.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)
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-dev.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 216, 30th EACSL Annual Conference on Computer Science Logic (CSL 2022)
Martin Baillon, Assia Mahboubi, and Pierre-Marie Pédrot. Gardening with the Pythia A Model of Continuity in a Dependent Setting. In 30th EACSL Annual Conference on Computer Science Logic (CSL 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 216, pp. 5:1-5:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{baillon_et_al:LIPIcs.CSL.2022.5, author = {Baillon, Martin and Mahboubi, Assia and P\'{e}drot, Pierre-Marie}, title = {{Gardening with the Pythia A Model of Continuity in a Dependent Setting}}, booktitle = {30th EACSL Annual Conference on Computer Science Logic (CSL 2022)}, pages = {5:1--5:18}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2022.5}, URN = {urn:nbn:de:0030-drops-157256}, doi = {10.4230/LIPIcs.CSL.2022.5}, annote = {Keywords: Type theory, continuity, syntactic model} }
Published in: LIPIcs, Volume 193, 12th International Conference on Interactive Theorem Proving (ITP 2021)
Sophie Bernard, Cyril Cohen, Assia Mahboubi, and Pierre-Yves Strub. Unsolvability of the Quintic Formalized in Dependent Type Theory. In 12th International Conference on Interactive Theorem Proving (ITP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 193, pp. 8:1-8:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{bernard_et_al:LIPIcs.ITP.2021.8, author = {Bernard, Sophie and Cohen, Cyril and Mahboubi, Assia and Strub, Pierre-Yves}, title = {{Unsolvability of the Quintic Formalized in Dependent Type Theory}}, booktitle = {12th International Conference on Interactive Theorem Proving (ITP 2021)}, pages = {8:1--8:18}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2021.8}, URN = {urn:nbn:de:0030-drops-139038}, doi = {10.4230/LIPIcs.ITP.2021.8}, annote = {Keywords: Galois theory, Coq, Mathematical Components, Dependent Type Theory, Abel-Ruffini, General quintic} }
Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)
Assia Mahboubi. Mathematical Structures in Dependent Type Theory (Invited Talk). In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 2:1-2:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{mahboubi:LIPIcs.CSL.2021.2, author = {Mahboubi, Assia}, title = {{Mathematical Structures in Dependent Type Theory}}, booktitle = {29th EACSL Annual Conference on Computer Science Logic (CSL 2021)}, pages = {2:1--2:3}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-175-7}, ISSN = {1868-8969}, year = {2021}, volume = {183}, editor = {Baier, Christel and Goubault-Larrecq, Jean}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.2}, URN = {urn:nbn:de:0030-drops-134361}, doi = {10.4230/LIPIcs.CSL.2021.2}, annote = {Keywords: Mathematical structures, formalized mathematics, dependent type theory} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 1-256, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@Proceedings{bezem_et_al:LIPIcs.TYPES.2019, title = {{LIPIcs, Volume 175, TYPES 2019, Complete Volume}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {1--256}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019}, URN = {urn:nbn:de:0030-drops-130639}, doi = {10.4230/LIPIcs.TYPES.2019}, annote = {Keywords: LIPIcs, Volume 175, TYPES 2019, Complete Volume} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 0:i-0:x, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{bezem_et_al:LIPIcs.TYPES.2019.0, author = {Bezem, Marc and Mahboubi, Assia}, title = {{Front Matter, Table of Contents, Preface, Conference Organization}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {0:i--0:x}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.0}, URN = {urn:nbn:de:0030-drops-130640}, doi = {10.4230/LIPIcs.TYPES.2019.0}, annote = {Keywords: Front Matter, Table of Contents, Preface, Conference Organization} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Michael Kohlhase, Florian Rabe, and Makarius Wenzel. Making Isabelle Content Accessible in Knowledge Representation Formats. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 1:1-1:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{kohlhase_et_al:LIPIcs.TYPES.2019.1, author = {Kohlhase, Michael and Rabe, Florian and Wenzel, Makarius}, title = {{Making Isabelle Content Accessible in Knowledge Representation Formats}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {1:1--1:24}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.1}, URN = {urn:nbn:de:0030-drops-130651}, doi = {10.4230/LIPIcs.TYPES.2019.1}, annote = {Keywords: Isabelle, PIDE, OMDoc, MMT, library, export} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Jesper Cockx. Type Theory Unchained: Extending Agda with User-Defined Rewrite Rules. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 2:1-2:27, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{cockx:LIPIcs.TYPES.2019.2, author = {Cockx, Jesper}, title = {{Type Theory Unchained: Extending Agda with User-Defined Rewrite Rules}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {2:1--2:27}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.2}, URN = {urn:nbn:de:0030-drops-130666}, doi = {10.4230/LIPIcs.TYPES.2019.2}, annote = {Keywords: Dependent types, Proof assistants, Rewrite rules, Higher-order rewriting, Agda} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Sandra Alves, Delia Kesner, and Daniel Ventura. A Quantitative Understanding of Pattern Matching. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 3:1-3:36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{alves_et_al:LIPIcs.TYPES.2019.3, author = {Alves, Sandra and Kesner, Delia and Ventura, Daniel}, title = {{A Quantitative Understanding of Pattern Matching}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {3:1--3:36}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.3}, URN = {urn:nbn:de:0030-drops-130672}, doi = {10.4230/LIPIcs.TYPES.2019.3}, annote = {Keywords: Intersection Types, Pattern Matching, Exact Bounds} }
Published in: LIPIcs, Volume 175, 25th International Conference on Types for Proofs and Programs (TYPES 2019)
Thorsten Altenkirch and Colin Geniet. Big Step Normalisation for Type Theory. In 25th International Conference on Types for Proofs and Programs (TYPES 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 175, pp. 4:1-4:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{altenkirch_et_al:LIPIcs.TYPES.2019.4, author = {Altenkirch, Thorsten and Geniet, Colin}, title = {{Big Step Normalisation for Type Theory}}, booktitle = {25th International Conference on Types for Proofs and Programs (TYPES 2019)}, pages = {4:1--4:20}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2019.4}, URN = {urn:nbn:de:0030-drops-130682}, doi = {10.4230/LIPIcs.TYPES.2019.4}, annote = {Keywords: Normalisation, big step normalisation, type theory, dependent types, Agda} }
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