Zapiski Nauchnykh Seminarov POMI, Theoretical application of methods of mathematical logic. Part II, Tome 68 (1977), pp. 19-25
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D. Yu. Grigor'ev. A lower bound for the computational complexity of a set of disjunctives in a monotone basis. Zapiski Nauchnykh Seminarov POMI, Theoretical application of methods of mathematical logic. Part II, Tome 68 (1977), pp. 19-25. http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a1/
@article{ZNSL_1977_68_a1,
author = {D. Yu. Grigor'ev},
title = {A lower bound for the computational complexity of a set of disjunctives in a monotone basis},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {19--25},
year = {1977},
volume = {68},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a1/}
}
TY - JOUR
AU - D. Yu. Grigor'ev
TI - A lower bound for the computational complexity of a set of disjunctives in a monotone basis
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 19
EP - 25
VL - 68
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a1/
LA - ru
ID - ZNSL_1977_68_a1
ER -
%0 Journal Article
%A D. Yu. Grigor'ev
%T A lower bound for the computational complexity of a set of disjunctives in a monotone basis
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 19-25
%V 68
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a1/
%G ru
%F ZNSL_1977_68_a1
A set of disjunctions of some variables is constructed and a nonlinear lower bound is proved for the circuit complexity of this set in systems of functional elements (s.f.e.) in a fixed monotone basis. The proposed method for proving the lower bound of circuit complexity in the s.f.e. differs from previously known methods (in a monotone basis).