Abstract
The operator of positive closure is considered on the set Pk of functions of k-valued logic. Some positive complete systems of functions are defined. It is proved that every positive complete class of functions from Pk is positive generated by the set of all functions depending on at most k variables. For each k ⩾ 3, the three families of positive precomplete classes are defined. It is shown that, for k = 3, the 10 classes of these families constitute a criterion system.
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