Reference : Countable intervals of partial clones
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Physical, chemical, mathematical & earth Sciences : Mathematics
Countable intervals of partial clones
Haddad, Lucien [Royal Military College of Canada]
Schölzel, Karsten mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on
ISMVL 2014 IEEE International Symposium on Multiple-Valued Logic
19-05-2014 to 21-05-2014
[en] Partial clones ; Unrefinable chains of partial clones ; Countable intervals
[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.

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