Some results on the decision and construction for Sheffer functions in partial k-valued logic

Decisions and construction for Sheffer functions in P/sub k/ and P/sub k/* in partial k-valued logic are considered. The solution of these problems depends on the solution of the decision problem of completeness in P/sub k/ and P/sub k/* and is reduced to determining the minimal coverings of precomplete classes in P/sub k/ and P/sub k/*, respectively. The pseudo-linear function set denoted by L/sub p/ is proved here to be the component part of the minimal covering of precomplete classes in P/sub k/*.< >