Notice of RetractionOn the categorizing of preserving ternary and quaternary fully symmetric relations in partial four-valued logic

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

In the structure theory of many-valued logic function, the decision for Sheffer functions is an very important problem, which is interrelated to the decision for completeness of functions set, and the solution can be reduced to determining the minimal coverings of precomplete categories. It´s well known that each precomplete set is a function set, T(G_m), preserving the relation G_m, therefore, the categorizing of this relation has provided the determination of precomplete set´s minimal covering with more convenient ways. In this paper, preserving ternary and quaternary fully symmetric relations in partial four-valued logic are categorized by similar relation.