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Conway Numbers – Formal Introduction Cover
By: Karol Pąk  
Open Access
|Dec 2023

References

  1. John Horton Conway. On Numbers and Games. A K Peters Ltd., Natick, MA, second edition, 2001. ISBN 1-56881-127-6.
  2. Peter Dybjer. A general formulation of simultaneous inductive-recursive definitions in type theory. The Journal of Symbolic Logic, 65(2):525–549, 2000. doi:10.2307/2586554.
  3. Philip Ehrlich. Conway names, the simplicity hierarchy and the surreal number tree. Journal of Logic and Analysis, 3(1):1–26, 2011. doi:10.4115/jla.2011.3.1.
  4. Philip Ehrlich. The absolute arithmetic continuum and the unification of all numbers great and small. The Bulletin of Symbolic Logic, 18(1):1–45, 2012. doi:10.2178/bsl/1327328438.
  5. Philp Ehrlich. Number systems with simplicity hierarchies: A generalization of Conway’s theory of surreal numbers. Journal of Symbolic Logic, 66(3):1231–1258, 2001. doi:10.2307/2695104.
  6. Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Mizar in a nutshell. Journal of Formalized Reasoning, 3(2):153–245, 2010.
  7. Lionel Elie Mamane. Surreal numbers in Coq. In Jean-Christophe Filliâtre, Christine Paulin-Mohring, and Benjamin Werner, editors, Types for Proofs and Programs, TYPES 2004, volume 3839 of LNCS, pages 170–185. Springer, 2004. doi:10.1007/11617990_11.
  8. Robin Nittka. Conway’s games and some of their basic properties. Formalized Mathematics, 19(2):73–81, 2011. doi:10.2478/v10037-011-0013-6.
  9. Steven Obua. Partizan games in Isabelle/HOLZF. In Kamel Barkaoui, Ana Cavalcanti, and Antonio Cerone, editors, Theoretical Aspects of Computing – ICTAC 2006, volume 4281 of LNCS, pages 272–286. Springer, 2006.
  10. Karol Pąk. Prime representing polynomial. Formalized Mathematics, 29(4):221–228, 2021. doi:10.2478/forma-2021-0020.
  11. Karol Pąk. Prime representing polynomial with 10 unknowns. Formalized Mathematics, 30(4):255–279, 2022. doi:10.2478/forma-2022-0021.
DOI: https://doi.org/10.2478/forma-2023-0018 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 193 - 203
Accepted on: Dec 12, 2023
Published on: Dec 31, 2023
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Karol Pąk, published by University of Białystok
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