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http://hdl.handle.net/11320/7629
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Ziobro, Rafał | - |
dc.date.accessioned | 2019-03-04T10:34:23Z | - |
dc.date.available | 2019-03-04T10:34:23Z | - |
dc.date.issued | 2018/10/01 | - |
dc.identifier.citation | Formalized Mathematics, Volume 26, Issue 3, Pages 199-208 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.uri | http://hdl.handle.net/11320/7629 | - |
dc.description.abstract | In contrast to other proving systems Mizar Mathematical Library, considered as one of the largest formal mathematical libraries [4], is maintained as a single base of theorems, which allows the users to benefit from earlier formalized items [3], [2]. This eventually leads to a development of certain branches of articles using common notation and ideas. Such formalism for finite sequences has been developed since 1989 [1] and further developed despite of the controversy over indexing which excludes zero [6], also for some advanced and new mathematics [5].The article aims to add some new machinery for dealing with finite sequences, especially those of short length. | - |
dc.language.iso | en | - |
dc.publisher | DeGruyter Open | - |
dc.subject | finite sequences | - |
dc.subject | functions | - |
dc.subject | relations | - |
dc.title | Arithmetic Operations on Short Finite Sequences | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2018-0018 | - |
dc.description.Affiliation | Department of Carbohydrate Technology, University of Agriculture, Krakow, Poland | - |
dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics,1(1):107–114, 1990. | - |
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. | - |
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. | - |
dc.description.references | Alexander Elizarov, Alexander Kirillovich, Evgeny Lipachev, and Olga Nevzorova. Digital ecosystem OntoMath: Mathematical knowledge analytics and management. In Leonid Kalinichenko, Sergei O. Kuznetsov, and Yannis Manolopoulos, editors, Data Analytics and Management in Data Intensive Domains, pages 33–46. Springer International Publishing, 2017. | - |
dc.description.references | Adam Naumowicz and Artur Korniłowicz. A brief overview of Mizar. In International Conference on Theorem Proving in Higher Order Logics, pages 67–72. Springer, 2009. doi:10.1007/978-3-642-03359-9_5. | - |
dc.description.references | Piotr Rudnicki and Andrzej Trybulec. On the integrity of a repository of formalized mathematics. Mathematical Knowledge Management, 2003. doi:10.1007/3-540-36469-2_13. | - |
dc.identifier.eissn | 1898-9934 | - |
dc.description.volume | 26 | - |
dc.description.issue | 3 | - |
dc.description.firstpage | 199 | - |
dc.description.lastpage | 208 | - |
dc.identifier.citation2 | Formalized Mathematics | - |
dc.identifier.orcid | 0000-0001-9681-4380 | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2018, Volume 26, Issue 3 |
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forma_2018_26_3_001.pdf | 222,11 kB | Adobe PDF | Otwórz |
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