Geodesic
On cardinality of some subclasses of monotone functions
Diskretnaya Matematika, Tome 17 (2005) no. 4, pp. 81-97.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the classes of functions of $n$ variables which are intersections of the class $M$ of monotone functions and other precomplete classes in three-valued logic. We find the asymptotic behaviour of the logarithm of cardinality of such classes as $n\to\infty$. 
@article{DM_2005_17_4_a7,
     author = {D. V. Khovratovich},
     title = {On cardinality of some subclasses of monotone functions},
     journal = {Diskretnaya Matematika},
     pages = {81--97},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2005_17_4_a7/}
}
TY  - JOUR
AU  - D. V. Khovratovich
TI  - On cardinality of some subclasses of monotone functions
JO  - Diskretnaya Matematika
PY  - 2005
SP  - 81
EP  - 97
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2005_17_4_a7/
LA  - ru
ID  - DM_2005_17_4_a7
ER  - 
%0 Journal Article
%A D. V. Khovratovich
%T On cardinality of some subclasses of monotone functions
%J Diskretnaya Matematika
%D 2005
%P 81-97
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2005_17_4_a7/
%G ru
%F DM_2005_17_4_a7
D. V. Khovratovich. On cardinality of some subclasses of monotone functions. Diskretnaya Matematika, Tome 17 (2005) no. 4, pp. 81-97. http://geodesic.mathdoc.fr/item/DM_2005_17_4_a7/

[1] Yablonskii S. V., “Funktsionalnye postroeniya v $k$-znachnoi logike”, Tr. MIAN, 51, 1958, 5–142 | Zbl

[2] Alekseev V. B., “O chisle monotonnykh $k$-znachnykh funktsii”, Problemy kibernetiki, 28 (1974), 5–24 | MR | Zbl

[3] Kleitmen D., “O probleme Dedekinda: chislo monotonnykh bulevykh funktsii”, Kibern. sb., 7 (1970), 43–52