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On Maximal Hyperclones on {0, 1} ? A New Approach
May 22-May 24
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.4438th International Symposium on Multi ...
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Hajime Machida, Jovanka Pantovic, "On Maximal Hyperclones on {0, 1} ? A New Approach," Multiple-Valued Logic, IEEE International Symposium on, pp. 32-37, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008.
 
 
BibTex
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@article{ 10.1109/ISMVL.2008.44,
author = {Hajime Machida and Jovanka Pantovic},
title = {On Maximal Hyperclones on {0, 1} ? A New Approach},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2008},
issn = {0195-623X},
pages = {32-37},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.44},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Multiple-Valued Logic, IEEE International Symposium on
TI - On Maximal Hyperclones on {0, 1} ? A New Approach
SN - 0195-623X
SP32
EP37
A1 - Hajime Machida,
A1 - Jovanka Pantovic,
PY - 2008
KW - maximal clones
KW - clones
KW - hyperoperations
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
The set of clones of operations on {0, 1} forms a countable lattice which was classified by Post. The cardinality ofthe lattice of hyperclones on {0, 1} was proved by Machidato be of the continuum. The hypercore of a clone C is δ-closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B5 and another submaximal clone of B2, we investigate hypercores. The interval of herclones on {0, 1} generated by unary hyperoperations is also completely determined.
Index Terms:
maximal clones, clones, hyperoperations
Citation:
Hajime Machida, Jovanka Pantovic, "On Maximal Hyperclones on {0, 1} ? A New Approach," ismvl, pp.32-37, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008
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