Title :
Essentially minimal TC-clones on three-element base set
Author :
Demetrovics, J. ; Malcev, I.A.
Author_Institution :
Comput. & Atom. Inst., Hungarian Acad. of Sci., Budapest, Hungary
Abstract :
The authors determine the lattice of the clone consisting of the projections and those members of Burle´s clone that take on the values 0 and 1 only. Even this lattice is considerably more complicated than the well-known Post´s lattice of all clones on the two-element set. On the basis of this result the authors can determine all minimal and essentially minimal TC-clones on the three-element set
Keywords :
many-valued logics; essentially minimal TC-clones; lattice; projections; three-element base set; Algebra; Automation; Cloning; Lattices; Vectors;
Conference_Titel :
Multiple-Valued Logic, 1989. Proceedings., Nineteenth International Symposium on
Conference_Location :
Guangzhou
Print_ISBN :
0-8186-1947-3
DOI :
10.1109/ISMVL.1989.37786
