Abstract:
The following problem is considered here: is a subclone of a clone maximal or not? To solve the problem, $\wedge$-descriptions and extended $\wedge$-descriptions being sets of predicates are proposed for characterizing subclones. Necessary and sufficient conditions are stated for extended $\wedge$-descriptions to characterize the maximal subclone.
Keywords:clon, subclon, precompletely subclon, maximum subclon, completeness problem.