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Uniqueness of minimal coverings of maximal partial clones
<span title="">2011</span>
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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3g7sk2fqarhcrmieipwvp62bfe" style="color: black;">Algebra Universalis</a>
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A partial function f on an k-element set E k is a partial Sheffer function if every partial function on E k is definable in terms of f . Since this holds if and only if f belongs to no maximal partial clone on E k , a characterization of partial Sheffer functions reduces to finding families of minimal coverings of maximal partial clones on E k . We show that for each k ≥ 2 there exists a unique minimal covering.
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