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Two Axiomatizations of Nelson Algebras Cover

Two Axiomatizations of Nelson Algebras

Formalized Mathematics
Volume 23 (2015): Issue 2 (June 2015)
By: Adam Grabowski  
Open Access
|Aug 2015

References

  1. [1] Andrzej Białynicki-Birula and Helena Rasiowa. On the representation of quasi-Boolean algebras. Bulletin de l’Academie Polonaise des Sciences, 5:259-261, 1957.
    Search in Google Scholar
  2. [2] Diana Brignole. Equational characterization of Nelson algebra. Notre Dame Journal of Formal Logic, (3):285-297, 1969.10.1305/ndjfl/1093893718
    Search in Google Scholar
  3. [3] Diana Brignole and Antonio Monteiro. Caracterisation des algèbres de Nelson par des egalités, I. Proceedings of the Japan Academy, 43(4):279-283, 1967. doi:10.3792/pja/1195521624.10.3792/pja/1195521624
    Search in Google Scholar
  4. [4] Diana Brignole and Antonio Monteiro. Caracterisation des algèbres de Nelson par des egalités, II. Proceedings of the Japan Academy, 43(4):284-285, 1967. doi:10.3792/pja/1195521625.10.3792/pja/1195521625
    Search in Google Scholar
  5. [5] Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.
    Search in Google Scholar
  7. [7] Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
    Search in Google Scholar
  8. [8] Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
    Search in Google Scholar
  9. [9] Adam Grabowski. Automated discovery of properties of rough sets. Fundamenta Informaticae, 128:65-79, 2013. doi:10.3233/FI-2013-933.10.3233/FI-2013-933
    Search in Google Scholar
  10. [10] Adam Grabowski. Mechanizing complemented lattices within Mizar system. Journal of Automated Reasoning, 2015. doi:10.1007/s10817-015-9333-5.10.1007/s10817-015-9333-5
    Search in Google Scholar
  11. [11] Adam Grabowski. Robbins algebras vs. Boolean algebras. Formalized Mathematics, 9(4): 681-690, 2001.
    Search in Google Scholar
  12. [12] Adam Grabowski and Markus Moschner. Managing heterogeneous theories within a mathematical knowledge repository. In Andrea Asperti, Grzegorz Bancerek, and Andrzej Trybulec, editors, Mathematical Knowledge Management Proceedings, volume 3119 of Lecture Notes in Computer Science, pages 116-129. Springer, 2004. doi:10.1007/978-3-540-27818-4 9. 3rd International Conference on Mathematical Knowledge Management, Bialowieza, Poland, Sep. 19-21, 2004.
    Search in Google Scholar
  13. [13] Adam Grabowski and Markus Moschner. Formalization of ortholattices via orthoposets. Formalized Mathematics, 13(1):189-197, 2005.
    Search in Google Scholar
  14. [14] David Nelson. Constructible falsity. Journal of Symbolic Logic, 14:16-26, 1949.10.2307/2268973
    Search in Google Scholar
  15. [15] Helena Rasiowa. Algebraic Models of Logics. Warsaw University, 2001.
    Search in Google Scholar
  16. [16] Helena Rasiowa. An Algebraic Approach to Non-Classical Logics. North Holland, 1974.
    Search in Google Scholar
  17. [17] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
    Search in Google Scholar
  18. [18] Stanisław Zukowski. Introduction to lattice theory. Formalized Mathematics, 1(1):215-222, 1990.
    Search in Google Scholar
DOI: https://doi.org/10.1515/forma-2015-0012 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 115 - 125
Submitted on: Apr 19, 2015
|
Published on: Aug 13, 2015
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
06D30,
08A05,
03B35
Related subjects:
Mathematics,
General mathematics,
Computer sciences,
Computer sciences, other

© 2015 Adam Grabowski, published by University of Białystok
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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