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http://hdl.handle.net/11320/14679Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Grabowski, Adam | - |
| dc.date.accessioned | 2023-02-16T08:43:57Z | - |
| dc.date.available | 2023-02-16T08:43:57Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 30, Issue 3, Pages 235-244 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/14679 | - |
| dc.description.abstract | This paper reports on the formalization in Mizar system [1], [2]of ten selected problems from W. Sierpinski’s book “250 Problems in Elementary Number Theory” [7] (see [6] for details of this concrete dataset). This article is devoted mainly to arithmetic progressions: problems 52, 54, 55, 56, 60, 64, 70,71, and 73 belong to the chapter “Arithmetic Progressions”, and problem 50 is from “Relatively Prime Numbers”. | pl |
| dc.language.iso | en | pl |
| dc.publisher | DeGruyter Open | pl |
| dc.rights | Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) | pl |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/3.0/ | pl |
| dc.subject | number theory | pl |
| dc.subject | arithmetic progression | pl |
| dc.subject | prime number | pl |
| dc.title | Elementary Number Theory Problems. Part VI | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2022 The Author(s) | pl |
| dc.rights.holder | CC BY-SA 3.0 license | pl |
| dc.identifier.doi | 10.2478/forma-2022-0019 | - |
| dc.description.Affiliation | Institute of Computer Science, University of Białystok, Poland | pl |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art andbeyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors,Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17. | pl |
| dc.description.references | Grzegorz 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.references | Adam Grabowski. On square-free numbers. Formalized Mathematics, 21(2):153–162, 2013.doi:10.2478/forma-2013-0017. | pl |
| dc.description.references | Adam Grabowski. Polygonal numbers. Formalized Mathematics, 21(2):103–113, 2013.doi:10.2478/forma-2013-0012. | pl |
| dc.description.references | Magdalena Jastrzębska and Adam Grabowski. Some properties of Fibonacci numbers. Formalized Mathematics, 12(3):307–313, 2004. | pl |
| dc.description.references | Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020,Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer,2020. doi:10.1007/978-3-030-53518-6_22. | pl |
| dc.description.references | Wacław Sierpiński.250 Problems in Elementary Number Theory. Elsevier, 1970. | pl |
| dc.description.references | Robert M. Solovay. Fibonacci numbers. Formalized Mathematics, 10(2):81–83, 2002. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 30 | pl |
| dc.description.issue | 3 | pl |
| dc.description.firstpage | 235 | pl |
| dc.description.lastpage | 244 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2022, Volume 30, Issue 3 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| 10.2478_forma-2022-0019.pdf | 245,98 kB | Adobe PDF | Otwórz |
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