This paper studies various properties of Pre A*-functions. The concept of equivalent Pre A*-functions has been introduced. It is show that a Pre A*-expression in n variables is a Pre A*-expression on and every Pre A*-expression represents a unique Pre A*-function. The concepts of dual Pre A*-function, sum-of-products expansion and implicants of the Pre A*-function have been initiated and established that a min term of a Pre A*-variables is a product of n literals, which one literal for each variable.