Abstract
We investigate the interpolation and extrapolation properties of partial clones of infinite-valued logic functions. A maximal local partial clone on an infinite set E is characterized by conditions on its intersections with the full partial clone on every finite subset A/spl sub/E, 2/spl les//A /</spl infin/. Next, the criterion is given for a finite domain partial operation of a local partial clone to be extendable to the everywhere defined operation from the same clone. A similar criterion is also given for a local partial clone to be extendable. Finally, extendibility conditions for partial orders are obtained so that the clones of their partial n-endomorphisms become extendable.
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