[en] In [Romov, ISMVL 2013] the first author introduced a type of partial clones as the intersection of some special infinite descending chains similar to I. Rosenberg
(1972) 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 will 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
SCHÖLZEL, Karsten ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Romov, Boris; Bayard Rustin Ed. Complex, New York, USA
Langue du document :
Anglais
Titre :
Partial R-clones
Date de publication/diffusion :
2014
Nom de la manifestation :
ISMVL 2014 IEEE International Symposium on Multiple-Valued Logic
Date de la manifestation :
19-05-2014 to 21-05-2014
Manifestation à portée :
International
Titre du périodique :
Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on