| Title:
|
On the number of monotonic functions from two-valued logic to $k$-valued logic (English) |
| Author:
|
Hromkovič, Juraj |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
21 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
228-234 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03B50 |
| MSC:
|
03G10 |
| MSC:
|
05A99 |
| MSC:
|
06B05 |
| MSC:
|
06B25 |
| MSC:
|
94C10 |
| idZBL:
|
Zbl 0574.94023 |
| idMR:
|
MR806727 |
| . |
| Date available:
|
2009-09-24T17:47:30Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125538 |
| . |
| Reference:
|
[1] V. B. Alexejev: O cisle monotonnych k-znacznych funkcij.Problemy kibernetiky 28 (1974), 5-24. |
| Reference:
|
[2] R. Church: Numerical analysis of certain free distributive structures.Duke Math. J. 6 (1940), 732-734. Zbl 0023.29102, MR 0002842 |
| Reference:
|
[3] R. Dedekind: Über Zerlegungen von Zahlen durch ihre grössten gemeinsammen Teiler.Festschrift Hoch. Braunschweig u. ges. Werke II (1897), 103-148. |
| Reference:
|
[4] E. N. Gilbert: Lattice theoretic properties of frontal switching functions.J. Math. Phys. 33 (1954), 57-67. Zbl 0055.20109, MR 0062650 |
| Reference:
|
[5] G. Hansel: Sur le nombre des fonctions booleennes monotones de n variables.C. R. Acad. Sci. Paris 262 (1966), 1088-1090. Zbl 0191.29202, MR 0224395 |
| Reference:
|
[6] J. Hromkovič: On the number of monotonic Boolean functions.Computers and Artificial Intelligence J (1984), 4, 319-329. |
| Reference:
|
[7] D. Kleitman: On Dedekind's problem: the number of monotone Boolean functions.Proc. Amer. Math. Soc. 21 (1969), 3, 677-682. Zbl 0186.30702, MR 0241334 |
| Reference:
|
[8] V. K. Korobkov: O monotonnych funkciach algebri logiki.Problemy kibernetiki 13 (1965), 5-28. MR 0209077 |
| Reference:
|
[9] V. K. Korobkov: K voprosu o čisle monotonnych funkcij algebri logiki.Diskretnyj analiz 1 (1963). MR 0177923 |
| Reference:
|
[10] V. K. Korobkov: Ocenka čisla monotonnych funkcij algebri logiki i složnosti algoritma otyskania razrašajuščevo množestva dla proizvolnoj monotonnoj funkcii algebri logiki.Dokl. Akad. Nauk SSSR 150 (1963), 4, 744-747. |
| Reference:
|
[11] A. D. Korshunov: O čisle monotonnych Bulevych funkcij.Problemy kibernetiki 38 (1981), 5-109. |
| Reference:
|
[12] M. Ward: Note on the order of free distributive lattices.Abstract 135. Bull. Amer. Math. Soc. 52 (1946), 423. |
| . |
