Cardinality of generating sets for operations from the Post lattice classes

References

[1] Anseľ Zh., “On the number of monotone Boolean functions of n variables”, Kibern. sb. Nov. ser., 5, 1968, 53–63 (in Russian).Suche in Google Scholar

[2] Blokhina G. N., “On the predicate description of Post classes”, Diskretniy analiz, 1970, №16, 16–29 (in Russian).Suche in Google Scholar

[3] Zhuk D. N., “The predicate method to construct the Post lattice”, Discrete Math. Appl., 21:3 (2011), 329–344.10.1515/dma.2011.022Suche in Google Scholar

[4] Kudryavtsev V. B., Gasanov E. E., Podkolzin A. S., Foundations of the theory of intelligent systems, MAKS Press, Moscow, 2016 (in Russian), 612 pp.Suche in Google Scholar

[5] Nikoľskiy S. M., Course of mathematical analysis, Textbook for universities, 6, FIZMATLIT, Moscow, 2001 (in Russian), 592 pp.Suche in Google Scholar

[6] Katona G., “A theorem of finite sets”, Theory of Graphs, Proc. colloq. (Hungary September 1966), Acad. Press, New York and London, 1968, 187–207.Suche in Google Scholar

[7] Kruskal J. B., “The number of simplices in a complex”, Math. optimiz. techn., 10 (1963), 251–278.10.1525/9780520319875-014Suche in Google Scholar

[8] Post E., Two-valued iterative systems of mathematical logic, Ann. Math. Stud., 5, PrincetonUniv. Press, Princeton, 1941, 122 pp.10.1515/9781400882366Suche in Google Scholar

[9] Sperner E., “Ein Satz über Untermengen einer endlichen Menge”, Math. Zeitschrift, 27:1 (1928), 544–548.10.1007/BF01171114Suche in Google Scholar

[10] Zhuk D., “The size of generating sets of powers”, 2015, arXiv: abs/1504.02121.Suche in Google Scholar