Geodesic
The criteria of completeness for redefining boolean function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 95-114

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Boolean function with two kinds of indeterminateness are considered. Appropriat definition of superposition, closed classes is introduced and the criteria of completeness is proved. 
@article{VNGU_2009_9_3_a6,
     author = {V. I. Panteleyev},
     title = {The criteria of completeness for redefining boolean  function},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {95--114},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_3_a6/}
}
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V. I. Panteleyev. The criteria of completeness for redefining boolean  function. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 95-114. http://geodesic.mathdoc.fr/item/VNGU_2009_9_3_a6/