A necessary and sufficient condition for multiple-valued logical functions representable by AND, OR, NOT, constants, variables and determination of their logical formulae

A necessary and sufficient condition is derived for p-valued logical functions representable by logical formulas built from variables, constants 0,1....p-1, and the logical operations AND, OR, and NOT (p-valued LR-functions). A method for determining a logical formula for p-valued LR-functions is presented. since the method deals only with 3/sup n/ input vectors, it gives the logical formulas easily.<<ETX>>