On Maximal Hyperclones on A New Approach

On Maximal Hyperclones on A New Approach

The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations be...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Machida, H., Pantovic, J.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
clones
Cloning
Hydrogen
hyperoperations
Lattices
maximal clones
Multivalued logic
Power generation
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Beschreibung
Zusammenfassung:The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B 5 and another submaximal clone of B 2 , we investigate hypercores. The interval of hyperclones on {0,1} generated by unary hyperoperations is also completely determined.
ISSN:0195-623X
2378-2226
DOI:10.1109/ISMVL.2008.44