Reference : Galois theory for partial clones and some relational clones
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11408
Galois theory for partial clones and some relational clones
English
Schölzel, Karsten mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2011
Proceedings - 41st IEEE International Symposium on Multiple-Valued Logic, ISMVL 2011
187-192
Yes
International
41st IEEE International Symposium on Multiple-Valued Logic, ISMVL 2011
23 May 2011 through 25 May 2011
Tuusula
[en] Elementary operations ; Galois connection ; Galois theory ; Partial clones ; Relation algebras ; Many valued logics ; Number theory
[en] A Galois connection between partial clones and a new variant of relation algebras is established. We introduce a new elementary operation on relations which captures the difference between total and partial clones and allows us to adapt the proof of the Galois connection from the total case to the partial case. This Galois connection is able to capture all partial clones and is not restricted to strong partial clones as in previous work.
http://hdl.handle.net/10993/11408
10.1109/ISMVL.2011.14

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