Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 50-54
Citer cet article
T. I. Krasnova. The conjunction complexity asymptotic of self-correcting circuits for monotone symmetric functions with threshold $2$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 50-54. http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a7/
@article{VMUMM_2014_3_a7,
author = {T. I. Krasnova},
title = {The conjunction complexity asymptotic of self-correcting circuits for monotone symmetric functions with threshold~$2$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {50--54},
year = {2014},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a7/}
}
TY - JOUR
AU - T. I. Krasnova
TI - The conjunction complexity asymptotic of self-correcting circuits for monotone symmetric functions with threshold $2$
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2014
SP - 50
EP - 54
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a7/
LA - ru
ID - VMUMM_2014_3_a7
ER -
%0 Journal Article
%A T. I. Krasnova
%T The conjunction complexity asymptotic of self-correcting circuits for monotone symmetric functions with threshold $2$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2014
%P 50-54
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a7/
%G ru
%F VMUMM_2014_3_a7
It is stated that the conjunction complexity $L_k^{\&}(f^n_2)$ of monotone symmetric Boolean functions $f_2^n(x_1,\ldots,x_n)=\bigvee \limits_{1\leq i realized by $k$-self-correcting circuits in the basis $B=\{\&,-\}$ asymptotically equals $(k+2)n$ for growing $n$ when the price of a reliable conjunctor is $\geq k+2$.