Geodesic
Conditions for the $\alpha$-completeness of systems of many-valued logic functions
Diskretnaya Matematika, Tome 4 (1992) no. 4, pp. 117-130.

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

Conditions of $\alpha$-completeness are presented for systems of functions of $k$-valued logic consisting of functions whose one-place subfunctions obtained by arbitrarily fixing all variables except one, are substitutions. For $k\ne2,3,4$, $\alpha$-complete systems of two binary operations with right cancellation are constructed, and for $k=2$, the nonexistence of finite $\alpha$-complete systems is proved. 
@article{DM_1992_4_4_a10,
     author = {A. L. Chernyshov},
     title = {Conditions for the $\alpha$-completeness of systems of many-valued logic functions},
     journal = {Diskretnaya Matematika},
     pages = {117--130},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1992_4_4_a10/}
}
TY  - JOUR
AU  - A. L. Chernyshov
TI  - Conditions for the $\alpha$-completeness of systems of many-valued logic functions
JO  - Diskretnaya Matematika
PY  - 1992
SP  - 117
EP  - 130
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_1992_4_4_a10/
LA  - ru
ID  - DM_1992_4_4_a10
ER  - 
%0 Journal Article
%A A. L. Chernyshov
%T Conditions for the $\alpha$-completeness of systems of many-valued logic functions
%J Diskretnaya Matematika
%D 1992
%P 117-130
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_1992_4_4_a10/
%G ru
%F DM_1992_4_4_a10
A. L. Chernyshov. Conditions for the $\alpha$-completeness of systems of many-valued logic functions. Diskretnaya Matematika, Tome 4 (1992) no. 4, pp. 117-130. http://geodesic.mathdoc.fr/item/DM_1992_4_4_a10/