Geodesic
The criteria of completeness for redefining boolean function
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 60-79

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Boolean functions, determined not to all sets are considered in this work. At the same time vagueness is appreciated as decision-making in the model with three possible answers: “for”, “against” and “indifferently or not determined” and decision “for” is taken in the situation “absence of against”. Appropriate definition of superposition, closed classes is introduced and the criteria of completeness is proved.
Keywords: boolean functions, partial boolean functions, closed classes, clone, hyperclone.
Mots-clés : maximal classes 
@article{VSGU_2009_2_a5,
     author = {V. I. Panteleev},
     title = {The criteria of completeness for redefining boolean function},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {60--79},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_2_a5/}
}
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V. I. Panteleev. The criteria of completeness for redefining boolean function. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 60-79. http://geodesic.mathdoc.fr/item/VSGU_2009_2_a5/