Reference : Minimal coverings of maximal partial clones
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11413
Minimal coverings of maximal partial clones
English
Schölzel, Karsten mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Proceedings of The International Symposium on Multiple-Valued Logic
114-119
Yes
International
0195623X
39th International Symposium on Multiple-Valued Logic, ISMVL 2009
21 May 2009 through 23 May 2009
Naha, Okinawa
[en] Partial clones ; Partial functions ; Sheffer function ; Cloning ; Many valued logics
[en] A partial function f on a κ-element set Eκ is a partial Sheffer function if every partial function on Eκ is definable in terms of f. Since this holds if and only if f belongs to no maximal partial clone on Eκ, a characterization of partial Sheffer functions reduces to finding families of minimal coverings of maximal partial clones on Eκ. We show that for each κ ≥ 3 there exists a unique minimal covering.
Graduate School of Information Sciences of Tohoku University;IEEE Computer Society;Japan MVL Research Group
http://hdl.handle.net/10993/11413
10.1109/ISMVL.2009.32

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