On Dedekind’s problem: The number of monotone Boolean functions
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- by Daniel Kleitman
- Proc. Amer. Math. Soc. 21 (1969), 677-682
- DOI: https://doi.org/10.1090/S0002-9939-1969-0241334-6
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References
- R. Dedekind, Ueber Zerlegungen von Zahlen durch ihre grössten gemeinsamen Teiler, Festschrift Hoch. Braunschweig u. ges. Werke, II (1897), 103-148.
- Randolph Church, Numerical analysis of certain free distributive structures, Duke Math. J. 6 (1940), 732–734. MR 2842 M. Ward, Note on the order of free distributive lattices, Abstract 135, Bull. Amer. Math. Soc. 52 (1946), 423.
- E. N. Gilbert, Lattice theoretic properties of frontal switching functions, J. Math. Physics 33 (1954), 57–67. MR 62650 B. K. Korobkov, Problemy Kibernet 13 (1965), 5-28.
- Georges Hansel, Sur le nombre des fonctions booléennes monotones de $n$ variables, C. R. Acad. Sci. Paris Sér. A-B 262 (1966), A1088–A1090 (French). MR 224395
- Koichi Yamamoto, Logarithmic order of free distributive lattice, J. Math. Soc. Japan 6 (1954), 343–353. MR 67086, DOI 10.2969/jmsj/00630343
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 677-682
- MSC: Primary 06.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0241334-6
- MathSciNet review: 0241334