Geodesic
On the functional decomposability of Boolean threshold functions
Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 59-73.

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Necessary and sufficient conditions for the functional separability of Boolean threshold functions are obtained. Some classes of separable and nonseparable functions are described. 
@article{DM_1997_9_2_a5,
     author = {A. N. Shurupov},
     title = {On the functional decomposability of {Boolean} threshold functions},
     journal = {Diskretnaya Matematika},
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     volume = {9},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_2_a5/}
}
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A. N. Shurupov. On the functional decomposability of Boolean threshold functions. Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 59-73. http://geodesic.mathdoc.fr/item/DM_1997_9_2_a5/