Diophantine Sets. Part II

[1] Marcin Acewicz and Karol Pąk. Basic Diophantine relations. Formalized Mathematics, 26(2):175–181, 2018. doi:10.2478/forma-2018-0015.10.2478/forma-2018-0015Open DOISearch in Google Scholar

[2] Zofia Adamowicz and Paweł Zbierski. Logic of Mathematics: A Modern Course of Classical Logic. Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Wiley-Interscience, 1997.10.1002/9781118032541Search in Google Scholar

[3] 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_17.10.1007/978-3-319-20615-8_17Open DOISearch in Google Scholar

[4] 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/s10817-017-9440-6.10.1007/s10817-017-9440-6604425130069070Open DOISearch in Google Scholar

[5] Martin Davis. Hilbert’s tenth problem is unsolvable. The American Mathematical Monthly, Mathematical Association of America, 80(3):233–269, 1973. doi:10.2307/2318447.10.2307/2318447Open DOISearch in Google Scholar

[6] Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.10.1007/s10817-015-9345-1Open DOISearch in Google Scholar

[7] Artur Korniłowicz and Karol Pąk. Basel problem – preliminaries. Formalized Mathematics, 25(2):141–147, 2017. doi:10.1515/forma-2017-0013.10.1515/forma-2017-0013Open DOISearch in Google Scholar

[8] Xiquan Liang, Li Yan, and Junjie Zhao. Linear congruence relation and complete residue systems. Formalized Mathematics, 15(4):181–187, 2007. doi:10.2478/v10037-007-0022-7.10.2478/v10037-007-0022-7Search in Google Scholar

[9] Karol Pąk. Diophantine sets. Preliminaries. Formalized Mathematics, 26(1):81–90, 2018. doi:10.2478/forma-2018-0007.10.2478/forma-2018-0007Open DOISearch in Google Scholar

[10] Craig Alan Smorynski. Logical Number Theory I, An Introduction. Universitext. Springer-Verlag Berlin Heidelberg, 1991. ISBN 978-3-642-75462-3.Search in Google Scholar

[11] Tetsuya Tsunetou, Grzegorz Bancerek, and Yatsuka Nakamura. Zero-based finite sequences. Formalized Mathematics, 9(4):825–829, 2001.Search in Google Scholar

[12] Rafał Ziobro. On subnomials. Formalized Mathematics, 24(4):261–273, 2016. doi:10.1515/forma-2016-0022.10.1515/forma-2016-0022Open DOISearch in Google Scholar