Published in: LIPIcs, Volume 270, 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)
Jiří Adámek, Matěj Dostál, and Jiří Velebil. Strongly Finitary Monads for Varieties of Quantitative Algebras. In 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 270, pp. 10:1-10:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2023.10, author = {Ad\'{a}mek, Ji\v{r}{\'\i} and Dost\'{a}l, Mat\v{e}j and Velebil, Ji\v{r}{\'\i}}, title = {{Strongly Finitary Monads for Varieties of Quantitative Algebras}}, booktitle = {10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)}, pages = {10:1--10:14}, 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.2023.10}, URN = {urn:nbn:de:0030-drops-188078}, doi = {10.4230/LIPIcs.CALCO.2023.10}, annote = {Keywords: quantitative algebras, ultra-quantitative algebras, strongly finitary monads, varieties} }
Published in: LIPIcs, Volume 270, 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)
Jiří Adámek, Stefan Milius, and Lawrence S. Moss. On Kripke, Vietoris and Hausdorff Polynomial Functors ((Co)algebraic pearls). In 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 270, pp. 21:1-21:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2023.21, author = {Ad\'{a}mek, Ji\v{r}{\'\i} and Milius, Stefan and Moss, Lawrence S.}, title = {{On Kripke, Vietoris and Hausdorff Polynomial Functors}}, booktitle = {10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)}, pages = {21:1--21:20}, 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.2023.21}, URN = {urn:nbn:de:0030-drops-188189}, doi = {10.4230/LIPIcs.CALCO.2023.21}, annote = {Keywords: Hausdorff functor, Vietoris functor, initial algebra, terminal coalgebra} }
Published in: LIPIcs, Volume 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)
Jiří Adámek, Stefan Milius, and Lawrence S. Moss. Initial Algebras Without Iteration ((Co)algebraic pearls). In 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 211, pp. 5:1-5:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2021.5, author = {Ad\'{a}mek, Ji\v{r}{\'\i} and Milius, Stefan and Moss, Lawrence S.}, title = {{Initial Algebras Without Iteration}}, booktitle = {9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)}, pages = {5:1--5:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-212-9}, ISSN = {1868-8969}, year = {2021}, volume = {211}, editor = {Gadducci, Fabio and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.5}, URN = {urn:nbn:de:0030-drops-153606}, doi = {10.4230/LIPIcs.CALCO.2021.5}, annote = {Keywords: Initial algebra, Pataraia’s theorem, recursive coalgebra, initial-algebra chain} }
Published in: LIPIcs, Volume 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)
Jiří Adámek and Jiří Rosický. Which Categories Are Varieties? ((Co)algebraic pearls). In 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 211, pp. 6:1-6:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2021.6, author = {Ad\'{a}mek, Ji\v{r}{\'\i} and Rosick\'{y}, Ji\v{r}{\'\i}}, title = {{Which Categories Are Varieties?}}, booktitle = {9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)}, pages = {6:1--6:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-212-9}, ISSN = {1868-8969}, year = {2021}, volume = {211}, editor = {Gadducci, Fabio and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.6}, URN = {urn:nbn:de:0030-drops-153610}, doi = {10.4230/LIPIcs.CALCO.2021.6}, annote = {Keywords: variety, many-sorted algebra, abstractly finite object, effective object, strong generator} }
Published in: LIPIcs, Volume 152, 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Jiří Adámek. On Free Completely Iterative Algebras. In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 7:1-7:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{adamek:LIPIcs.CSL.2020.7, author = {Ad\'{a}mek, Ji\v{r}{\'\i}}, title = {{On Free Completely Iterative Algebras}}, booktitle = {28th EACSL Annual Conference on Computer Science Logic (CSL 2020)}, pages = {7:1--7:21}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2020.7}, URN = {urn:nbn:de:0030-drops-116503}, doi = {10.4230/LIPIcs.CSL.2020.7}, annote = {Keywords: free algebra, completely iterative algebra, terminal coalgebra, initial algebra, finitary functor} }
Published in: LIPIcs, Volume 139, 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)
Jiří Adámek. On Terminal Coalgebras Derived from Initial Algebras. In 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 139, pp. 12:1-12:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{adamek:LIPIcs.CALCO.2019.12, author = {Ad\'{a}mek, Ji\v{r}{\'\i}}, title = {{On Terminal Coalgebras Derived from Initial Algebras}}, booktitle = {8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)}, pages = {12:1--12:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-120-7}, ISSN = {1868-8969}, year = {2019}, volume = {139}, editor = {Roggenbach, Markus and Sokolova, Ana}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2019.12}, URN = {urn:nbn:de:0030-drops-114403}, doi = {10.4230/LIPIcs.CALCO.2019.12}, annote = {Keywords: terminal coalgebras, initial algebras, algebraically complete category, finitary functor, fixed points of functors} }
Published in: LIPIcs, Volume 83, 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)
Henning Urbat, Jiri Adámek, Liang-Ting Chen, and Stefan Milius. Eilenberg Theorems for Free. In 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 83, pp. 43:1-43:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{urbat_et_al:LIPIcs.MFCS.2017.43, author = {Urbat, Henning and Ad\'{a}mek, Jiri and Chen, Liang-Ting and Milius, Stefan}, title = {{Eilenberg Theorems for Free}}, booktitle = {42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)}, pages = {43:1--43:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-046-0}, ISSN = {1868-8969}, year = {2017}, volume = {83}, editor = {Larsen, Kim G. and Bodlaender, Hans L. and Raskin, Jean-Francois}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2017.43}, URN = {urn:nbn:de:0030-drops-81032}, doi = {10.4230/LIPIcs.MFCS.2017.43}, annote = {Keywords: Eilenberg's theorem, variety of languages, pseudovariety, monad, duality} }
Published in: LIPIcs, Volume 72, 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)
Jiri Adámek and Stefan Milius. On Corecursive Algebras for Functors Preserving Coproducts. In 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 72, pp. 3:1-3:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2017.3, author = {Ad\'{a}mek, Jiri and Milius, Stefan}, title = {{On Corecursive Algebras for Functors Preserving Coproducts}}, booktitle = {7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)}, pages = {3:1--3:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-033-0}, ISSN = {1868-8969}, year = {2017}, volume = {72}, editor = {Bonchi, Filippo and K\"{o}nig, Barbara}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2017.3}, URN = {urn:nbn:de:0030-drops-80298}, doi = {10.4230/LIPIcs.CALCO.2017.3}, annote = {Keywords: terminal coalgebra, free algebra, corecursive algebra, hyper-extensive category} }
Published in: LIPIcs, Volume 35, 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)
Jiri Adamek, Stefan Milius, and Henning Urbat. Syntactic Monoids in a Category. In 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 35, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{adamek_et_al:LIPIcs.CALCO.2015.1, author = {Adamek, Jiri and Milius, Stefan and Urbat, Henning}, title = {{Syntactic Monoids in a Category}}, booktitle = {6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)}, pages = {1--16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-84-2}, ISSN = {1868-8969}, year = {2015}, volume = {35}, editor = {Moss, Lawrence S. and Sobocinski, Pawel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2015.1}, URN = {urn:nbn:de:0030-drops-55235}, doi = {10.4230/LIPIcs.CALCO.2015.1}, annote = {Keywords: Syntactic monoid, transition monoid, algebraic automata theory, duality, coalgebra, algebra, symmetric monoidal closed category, commutative variety} }
Published in: LIPIcs, Volume 12, Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL (2011)
Jiri Adamek, Stefan Milius, Lawrence S. Moss, and Lurdes Sousa. Power-Set Functors and Saturated Trees. In Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 12, pp. 5-19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)
@InProceedings{adamek_et_al:LIPIcs.CSL.2011.5, author = {Adamek, Jiri and Milius, Stefan and Moss, Lawrence S. and Sousa, Lurdes}, title = {{Power-Set Functors and Saturated Trees}}, booktitle = {Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL}, pages = {5--19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-32-3}, ISSN = {1868-8969}, year = {2011}, volume = {12}, editor = {Bezem, Marc}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2011.5}, URN = {urn:nbn:de:0030-drops-32194}, doi = {10.4230/LIPIcs.CSL.2011.5}, annote = {Keywords: saturated tree, extensional tree, final coalgebra, power-set functor, modal logic} }
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