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http://hdl.handle.net/11320/14677Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Korniłowicz, Artur | - |
| dc.contributor.author | Naumowicz, Adam | - |
| dc.date.accessioned | 2023-02-16T08:35:13Z | - |
| dc.date.available | 2023-02-16T08:35:13Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 30, Issue 3, Pages 229-234 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/14677 | - |
| dc.description.abstract | This paper reports on the formalization of ten selected problems from W. Sierpinski’s book “250 Problems in Elementary Number Theory”[5] using the Mizar system [4], [1], [2]. Problems 12, 13, 31, 32, 33, 35 and 40 belong to the chapter devoted to the divisibility of numbers, problem 47 concerns relatively prime numbers, whereas problems 76 and 79 are taken from the chapter on prime and composite numbers. | pl |
| dc.language.iso | pl | 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 | divisibility | pl |
| dc.subject | primes | pl |
| dc.title | Elementary Number Theory Problems. Part V | 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-2022-0018 | - |
| dc.description.Affiliation | Artur Korniłowicz - Institute of Computer Science, University of Białystok, Poland | pl |
| dc.description.Affiliation | Adam Naumowicz - 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 and beyond. 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 | Robert Milewski. Natural numbers. Formalized Mathematics, 7(1):19–22, 1998. | 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:10.1007/978-3-030-53518-622. | pl |
| dc.description.references | Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970. | pl |
| dc.description.references | Rafał Ziobro. Prime factorization of sums and differences of two like powers. Formalized Mathematics, 24(3):187–198, 2016. doi:10.1515/forma-2016-0015. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 30 | pl |
| dc.description.issue | 3 | pl |
| dc.description.firstpage | 229 | pl |
| dc.description.lastpage | 234 | 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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|---|---|---|---|---|
| 10.2478_forma-2022-0018.pdf | 239,62 kB | Adobe PDF | Otwórz |
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