Closed classes of the three-valued logic generated by systems containing symmetric functions |
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Authors: | A. V. Mikhailovich |
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Affiliation: | 1.Faculty of Electronics and System Engineering,Moscow State Forest University,Mytischi, Moscow region,Russia |
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Abstract: | Closed classes of functions of the three-valued logic whose generating systems include nonmonotone symmetric functions taking values in the set {0, 1} are studied. It is shown that in some cases the problems of existence of a basis and existence of a finite basis can be reduced to similar problem for reduced generating systems. |
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