Acta mathematica Universitatis Comenianae, Tome 65 (1996) no. 1
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H. Langer; M. Maczynski. MINIMAL AND MAXIMAL SETS OF BELL-TYPE INEQUALITIES HOLDING IN A LOGIC. Acta mathematica Universitatis Comenianae, Tome 65 (1996) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1996_65_1_a9/
@article{AMUC_1996_65_1_a9,
author = {H. Langer and M. Maczynski},
title = {MINIMAL {AND} {MAXIMAL} {SETS} {OF} {BELL-TYPE} {INEQUALITIES} {HOLDING} {IN} {A} {LOGIC}},
journal = {Acta mathematica Universitatis Comenianae},
year = {1996},
volume = {65},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_1996_65_1_a9/}
}
TY - JOUR
AU - H. Langer
AU - M. Maczynski
TI - MINIMAL AND MAXIMAL SETS OF BELL-TYPE INEQUALITIES HOLDING IN A LOGIC
JO - Acta mathematica Universitatis Comenianae
PY - 1996
VL - 65
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_1996_65_1_a9/
ID - AMUC_1996_65_1_a9
ER -
%0 Journal Article
%A H. Langer
%A M. Maczynski
%T MINIMAL AND MAXIMAL SETS OF BELL-TYPE INEQUALITIES HOLDING IN A LOGIC
%J Acta mathematica Universitatis Comenianae
%D 1996
%V 65
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_1996_65_1_a9/
%F AMUC_1996_65_1_a9
It is shown that for every integer $n>1$ the poset $(\\f\:2^\1,\ldots,n \to Z\,| \sum_I\subseteq\1,\ldots,n\f(I)p(\bigwedge_i\in Ia_i)\in [0,1]$ for all states $p$ on $L$ and all $a_1,\ldots,a_n\in L \,|\,L\;:$ ortholattice$\\,,\,\subseteq)$ possesses a smallest and a greatest element. The functions in this poset are interpreted as Bell-type inequalities holding in $L$.
