DocumentCode
3628024
Title
On Maximal Hyperclones on {0, 1} A New Approach
Author
Hajime Machida;Jovanka Pantovic
Author_Institution
Hitotsubashi Univ., Tokyo
fYear
2008
Firstpage
32
Lastpage
37
Abstract
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.
Keywords
"Cloning","Hydrogen","Lattices","Multivalued logic","Power generation"
Publisher
ieee
Conference_Titel
Multiple Valued Logic, 2008. ISMVL 2008. 38th International Symposium on
ISSN
0195-623X
Print_ISBN
978-0-7695-3155-7
Type
conf
DOI
10.1109/ISMVL.2008.44
Filename
4539398
Link To Document