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  3. Formalized Mathematics
  4. Formalized Mathematics, 2025, Volume 33, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/19595
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    Pole DCWartośćJęzyk
    dc.contributor.authorKoch, Sebastian-
    dc.date.accessioned2026-01-09T12:01:30Z-
    dc.date.available2026-01-09T12:01:30Z-
    dc.date.issued2025-
    dc.identifier.citationFormalized Mathematics, Volume 33, Issue 1, Pages 43-55pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/19595-
    dc.description.abstractIn this article the free product of groups is formalized in the Mizar system.pl
    dc.language.isoenpl
    dc.publisherUniversity of Białystokpl
    dc.rightsAttribution-ShareAlike 4.0 International (CC BY-SA 4.0)pl
    dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/pl
    dc.subjectfree grouppl
    dc.subjectfree-abelian grouppl
    dc.subjectfree productpl
    dc.titleFree Product of Groupspl
    dc.typeArticlepl
    dc.rights.holder© 2025 The Author(s)pl
    dc.rights.holderCC BY-SA 4.0 licensepl
    dc.identifier.doi10.2478/forma-2025-0004-
    dc.description.AffiliationMainz, Germanypl
    dc.description.referencesMark Anthony Armstrong. Groups and Symmetry. Undergraduate Texts in Mathematics. Springer New York, 1988. Available at https://link.springer.com/book/10.1007/-978-1-4757-4034-9.pl
    dc.description.referencesGrzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.pl
    dc.description.referencesHenning Basold, Peter Bruin, and Dominique Lawson. The Directed Van Kampen Theorem in Lean. In Yves Bertot, Temur Kutsia, and Michael Norrish, editors, 15th International Conference on Interactive Theorem Proving, ITP 2024, September 9–14, 2024, Tbilisi, Georgia, volume 309 of LIPIcs, pages 8:1–8:18. Schloss Dagstuhl – Leibniz-Zentrum fur Informatik, 2024. doi:10.4230/LIPICS.ITP.2024.8.pl
    dc.description.referencesAdam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.pl
    dc.description.referencesAdam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. On algebraic hierarchies in mathematical repository of Mizar. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, Proceedings of the 2016 Federated Conference on Computer Science and Information Systems (FedCSIS), volume 8 of Annals of Computer Science and Information Systems, pages 363–371, 2016. doi:10.15439/2016F520.pl
    dc.description.referencesAllen Hatcher. Algebraic Topology. Cambridge University Press, 2001. Available at https://pi.math.cornell.edu/~hatcher/AT/AT+.pdf.pl
    dc.description.referencesMikhail Ivanovich Kargapolov and Yurii Ivanovich Merzljakov. Fundamentals of the Theory of Groups. Graduate Texts in Mathematics. Springer New York, 1979. https://link.springer.com/book/9781461299660.pl
    dc.description.referencesAabid Seeyal Abdul Kharim, T. V. H. Prathamesh, Shweta Rajiv, and Rishi Vyas. Formalizing free groups in Isabelle/HOL: The Nielsen-Schreier theorem and the conjugacy problem. In Catherine Dubois and Manfred Kerber, editors, Intelligent Computer Mathematics, pages 158–173, Cham, 2023. Springer Nature Switzerland. ISBN 978-3-031-42753-4. doi:10.1007/978-3-031-42753-4_11.pl
    dc.description.referencesArtur Korniłowicz, Yasunari Shidama, and Adam Grabowski. The fundamental group. Formalized Mathematics, 12(3):261–268, 2004.pl
    dc.description.referencesAmelia Livingston. Group cohomology in the Lean community library. In Adam Naumowicz and Ren´e Thiemann, editors, 14th International Conference on Interactive Theorem Proving (ITP 2023), volume 268 of Leibniz International Proceedings in Informatics (LIPIcs), pages 22:1–22:17, Dagstuhl, Germany, 2023. Schloss Dagstuhl – Leibniz-Zentrum fur Informatik. ISBN 978-3-95977-284-6. doi:10.4230/LIPIcs.ITP.2023.22.pl
    dc.description.referencesAlexander M. Nelson. Internal direct products and the universal property of direct product groups. Formalized Mathematics, 31(1):101–120, 2023. doi:10.2478/forma-2023-0010.pl
    dc.description.referencesDerek J.S. Robinson. A Course in the Theory of Groups. Graduate Texts in Mathematics.Springer New York, 1996. Available at https://link.springer.com/book/10.1007/-978-1-4419-8594-1.pl
    dc.identifier.eissn1898-9934-
    dc.description.volume33pl
    dc.description.issue1pl
    dc.description.firstpage43pl
    dc.description.lastpage55pl
    dc.identifier.citation2Formalized Mathematicspl
    dc.identifier.orcid0000-0002-9628-177X-
    Występuje w kolekcji(ach):Formalized Mathematics, 2025, Volume 33, Issue 1

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