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Reference : Counting the maximal partial clones on a finite set
Document type :
Scientific journals : Article
Discipline(s) :
Physical, chemical, mathematical & earth Sciences : Mathematics
To cite this reference:
http://hdl.handle.net/10993/11405
Title :
Counting the maximal partial clones on a finite set
Language :
English
Author, co-author :
Schölzel, Karsten
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :
2012
Journal title :
Journal of Multiple-Valued Logic and Soft Computing
Volume :
18
Issue/season :
2
Pages :
153-165
Peer reviewed :
Yes (verified by ORBi
lu
)
Audience :
International
ISSN :
1542-3980
Keywords :
[en]
Completeness theorem ; Maximal partial clones ; Partial functions ; Completeness theorems ; Computer program ; Finite set ; Partial clones ; Formal logic ; Software engineering ; Cloning
Abstract :
[en]
We show that different coherent relations specify different maximal partial clones. Then we describe a computer program to find all coherent relations and thus all maximal partial clones on 4-element, 5-element, and 6-element sets.
Permalink :
http://hdl.handle.net/10993/11405
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