Partial clones; Unrefinable chains of partial clones; Countable intervals
Abstract :
[en] Let $k \ge 2$ 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.
Disciplines :
Mathematics
Author, co-author :
Haddad, Lucien; Royal Military College of Canada
Schölzel, Karsten ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Countable intervals of partial clones
Publication date :
2014
Event name :
ISMVL 2014 IEEE International Symposium on Multiple-Valued Logic
Event date :
19-05-2014 to 21-05-2014
Audience :
International
Journal title :
Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on
