Title :
Countable Intervals of Partial Clones
Author :
Haddad, Lobna ; Scholzel, K.
Author_Institution :
Dept. of Math. & Comput. Sci., R. Mil. Coll., Kingston, ON, Canada
Abstract :
Let k ≥ 2 and A be a k-element set. We construct countably infinite unrefinable chains of strong partial clones on A. This provides the first known examples of countably infinite intervals of strong partial clones on a finite set with at least two elements.
Keywords :
multivalued logic; set theory; countable infinite intervals; finite set; infinite unrefinable chains; partial clones; partial multivalued logic; Cloning; Computer science; Educational institutions; Electronic mail; Equations; Lattices;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2014 IEEE 44th International Symposium on
Conference_Location :
Bremen
DOI :
10.1109/ISMVL.2014.35
