Author :
Romov, B.A. ; Scholzel, K.
Author_Institution :
Bayard Rustin Ed. Complex, New York, NY, USA
Abstract :
In [11] the first author introduced a type of partial clones as the intersection of some special infinite descending chains similar to I. Rosenberg [12] in the case of total clones. We provide a characterization of these clones in terms of their invariants, and propose a generalization of such clones, which we call partial R-clones. We show that there are only finitely many partial R-clones. Furthermore, we investigate some properties related to their position in the lattice of partial clones.
Keywords :
multivalued logic; generalization; infinite descending chains; k-valued logic; lattice; partial R-clones; Algebra; Calculus; Cloning; Educational institutions; Electronic mail; Indexes; Lattices; Galois connection; invariant relation; partial clone;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2014 IEEE 44th International Symposium on
Conference_Location :
Bremen
DOI :
10.1109/ISMVL.2014.24
