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http://hdl.handle.net/11320/15424Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Korniłowicz, Artur | - |
| dc.date.accessioned | 2023-10-30T13:04:09Z | - |
| dc.date.available | 2023-10-30T13:04:09Z | - |
| dc.date.issued | 2023 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 31, Issue 1, Pages 87-100 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/15424 | - |
| dc.description.abstract | In this paper problems 25, 86, 88, 105, 111, 137–142, and 184–185 from [12] are formalized, using the Mizar formalism [3], [1], [4]. This is a continuation of the work from [5], [6], and [2] as suggested in [8]. The auto matization of selected lemmas from [11] proven in this paper as proposed in [9] could be an interesting future work. | 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 | divisibility | pl |
| dc.subject | primes | pl |
| dc.subject | factorization | pl |
| dc.title | Elementary Number Theory Problems. Part VIII | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2023 The Author(s) | pl |
| dc.rights.holder | CC BY-SA 3.0 license | pl |
| dc.identifier.doi | 10.2478/forma-2023-0009 | - |
| dc.description.Affiliation | Faculty of Computer Science, University of Białystok, Poland | 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. Elementary number theory problems. Part VI. Formalized Mathematics, 30(3):235–244, 2022. doi:10.2478/forma-2022-0019. | pl |
| dc.description.references | Adam 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.references | Artur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Struc tures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002. | pl |
| dc.description.references | Artur Korniłowicz. Elementary number theory problems. Part IV. Formalized Mathema tics, 30(3):223–228, 2022. doi:10.2478/forma-2022-0017. | pl |
| dc.description.references | Artur Korniłowicz and Adam Naumowicz. Elementary number theory problems. Part V. Formalized Mathematics, 30(3):229–234, 2022. doi:10.2478/forma-2022-0018. | pl |
| dc.description.references | Artur Korniłowicz and Piotr Rudnicki. Fundamental Theorem of Arithmetic. Formalized Mathematics, 12(2):179–186, 2004. | pl |
| dc.description.references | Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzm¨uller 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 | Adam Naumowicz. Extending numeric automation for number theory formalizations in Mizar. In Catherine Dubois and Manfred Kerber, editors, Intelligent Computer Mathematics– 16th International Conference, CICM 2023, Cambridge, UK, September 5–8, 2023, Proceedings, volume 14101 of Lecture Notes in Computer Science, pages 309–314. Springer, 2023. doi:10.1007/978-3-031-42753-4_23. | pl |
| dc.description.references | Marco Riccardi. Solution of cubic and quartic equations. Formalized Mathematics, 17(2): 117–122, 2009. doi:10.2478/v10037-009-0012-z. | pl |
| dc.description.references | Wacław Sierpiński. Elementary Theory of Numbers. PWN, Warsaw, 1964. | pl |
| dc.description.references | Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 31 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 87 | pl |
| dc.description.lastpage | 100 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| dc.identifier.orcid | 0000-0002-4565-9082 | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2023, Volume 31, Issue 1 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| 10.2478_forma-2023-0009.pdf | 292,67 kB | Adobe PDF | Otwórz |
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