Open Access

Two Axiomatizations of Nelson Algebras

   | Aug 13, 2015

Cite

[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] Diana Brignole. Equational characterization of Nelson algebra. Notre Dame Journal of Formal Logic, (3):285-297, 1969.10.1305/ndjfl/1093893718Search in Google Scholar

[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/1195521624Search in Google Scholar

[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/1195521625Search in Google Scholar

[5] Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.Search in Google Scholar

[6] Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.Search in Google Scholar

[7] Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.Search in Google Scholar

[8] Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.Search in Google Scholar

[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-2013-933Search in Google Scholar

[10] Adam Grabowski. Mechanizing complemented lattices within Mizar system. Journal of Automated Reasoning, 2015. doi:10.1007/s10817-015-9333-5.10.1007/s10817-015-9333-5Search in Google Scholar

[11] Adam Grabowski. Robbins algebras vs. Boolean algebras. Formalized Mathematics, 9(4): 681-690, 2001.Search in Google Scholar

[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] Adam Grabowski and Markus Moschner. Formalization of ortholattices via orthoposets. Formalized Mathematics, 13(1):189-197, 2005.Search in Google Scholar

[14] David Nelson. Constructible falsity. Journal of Symbolic Logic, 14:16-26, 1949.10.2307/2268973Search in Google Scholar

[15] Helena Rasiowa. Algebraic Models of Logics. Warsaw University, 2001.Search in Google Scholar

[16] Helena Rasiowa. An Algebraic Approach to Non-Classical Logics. North Holland, 1974.Search in Google Scholar

[17] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.Search in Google Scholar

[18] Stanisław Zukowski. Introduction to lattice theory. Formalized Mathematics, 1(1):215-222, 1990. Search in Google Scholar

eISSN:
1898-9934
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, other, Mathematics, General Mathematics