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A classification of partial Boolean clones
Lau, Dietlinde; Schölzel, Karsten
2010 • In Proceedings of The International Symposium on Multiple-Valued Logic, p. 189-194
Peer reviewed
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https://hdl.handle.net/10993/11410
DOI
10.1109/ISMVL.2010.43
 

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Keywords :
Complete classification; Finite intervals; Partial clones; Cloning; Many valued logics; Boolean functions
Abstract :
[en] We study intervals I(A) of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals (according to whether the interval is finite or infinite), and determine the size of each finite interval I(A).
Disciplines :
Mathematics
Author, co-author :
Lau, Dietlinde;  Institut für Mathematik, Universität Rostock, Ulmenstraße 69, 18057 Rostock, Germany
Schölzel, Karsten ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
A classification of partial Boolean clones
Publication date :
2010
Event name :
40th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2010
Event date :
26 May 2010 through 28 May 2010
Audience :
International
Journal title :
Proceedings of The International Symposium on Multiple-Valued Logic
ISSN :
0195-623X
Pages :
189-194
Peer reviewed :
Peer reviewed
Funders :
Generalitat de Catalunya;Universitat de Lleida;CSIC;Universitat de Barcelona (UB);IIIA-CSIC
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since 19 November 2013

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