Properties of Pre A*-Functions

Year 2015, Volume: 28 Issue: 2, 239 - 244, 22.06.2015

J. Rao Tesfamariam Tadesse Habtu Alemayehu

Abstract

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.

Keywords

Pre A*-algebra, Pre A*-function, Pre A*-variables, Pre A*-expressions, duality, Sum-of-Products expansion, Product-of-Sums expansion and implicants.