Geodesic
Conditions for realization of a~function on a~semilattice over real bases of switching elements
Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 3, pp. 40-61

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The functions are considered on finite upper semilattices that realize their switching networks. Some necessary condition is given for realization of a function on a semilattice over a base of switching elements as well as necessary and sufficient conditions for realization of a function on a semilattice of states by single-stage and many-stage circuits over bases of real switching elements (transistors and resistors). 
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     author = {I. A. Pankratova},
     title = {Conditions for realization of a~function on a~semilattice over real bases of switching elements},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {40--61},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2006_13_3_a3/}
}
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I. A. Pankratova. Conditions for realization of a~function on a~semilattice over real bases of switching elements. Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 3, pp. 40-61. http://geodesic.mathdoc.fr/item/DA_2006_13_3_a3/