Article (Scientific journals)
Counting the maximal partial clones on a finite set
Schölzel, Karsten
2012In Journal of Multiple-Valued Logic and Soft Computing, 18 (2), p. 153-165
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Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
Schölzel, Karsten ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Counting the maximal partial clones on a finite set
Publication date :
2012
Journal title :
Journal of Multiple-Valued Logic and Soft Computing
ISSN :
1542-3980
Publisher :
Old City Publishing, United States - Pennsylvania
Volume :
18
Issue :
2
Pages :
153-165
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 19 November 2013

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