Title :
On Maximal Hyperclones on {0, 1} A New Approach
Author :
Hajime Machida;Jovanka Pantovic
Author_Institution :
Hitotsubashi Univ., Tokyo
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"
Conference_Titel :
Multiple Valued Logic, 2008. ISMVL 2008. 38th International Symposium on
Print_ISBN :
978-0-7695-3155-7
DOI :
10.1109/ISMVL.2008.44
