Reference : Intersections of Finitely Generated Maximal Partial Clones
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26397
Intersections of Finitely Generated Maximal Partial Clones
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Haddad, Lucien []
Jan-2012
Journal of Multiple-Valued Logic & Soft Computing
Old City Publishing, Inc.
19
1-3
85-94
Yes (verified by ORBilu)
1542-3980
Philadelphia
PA
[en] Generating sets ; Partial clones
[en] Let A be a finite non-singleton set. For A ={0, 1} we show that the set of all self-dual monotonic partial functions is a not finitely generated partial clone on {0, 1} and that it contains a family of partial subclones of continuum cardinality. Moreover, for |A| ≥ 3, we show that there are pairs of finitely generated maximal partial clones whose intersection is a not finitely generated partial clone on A.
http://hdl.handle.net/10993/26397

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