Countable intervals of partial clones

Reference : Countable intervals of partial clones


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a journal
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/11345

Title :	Countable intervals of partial clones
Language :	English
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 >]
Publication date :	2014
Journal title :	Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on
Peer reviewed :	Yes
Audience :	International
Event name :	ISMVL 2014 IEEE International Symposium on Multiple-Valued Logic
Event date :	19-05-2014 to 21-05-2014
Keywords :	[en] 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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/11345

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