Geodesic
Special Expansions of Underdetermined Partial Boolean Functions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 114-119

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper views special expansion of functions determined on two-element set and taking four meanings. In particular, it is shown that there are expansions for such functions, which are analogous to known expansion of Boolean functions, i.e. disjunctive normal form and conjunctive normal form. As a sequence of received expansion, some complete and maximal sets are described.
Keywords: partial Boolean functions, hyperoperation, complete sets, special representations.
Mots-clés : composition 
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     author = {V. I. Panteleyev},
     title = {Special {Expansions} of {Underdetermined} {Partial} {Boolean} {Functions}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {151},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a13/}
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V. I. Panteleyev. Special Expansions of Underdetermined Partial Boolean Functions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 114-119. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a13/