2013 IEEE 43rd International Symposium on Multiple-Valued Logic (ISMVL 2013)
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Abstract

By establishing the relational theory of extendable partial clones on a finite set we describe infinite descending chains of partial clones whose intersection cannot be determined by a finite set of relations (we call them not finitely definable). A special type of such chains introduced in case of clones by I. Rosenberg (1972) as a generalization of two Post clones is investigated.
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