Expansion of logical function in the OR-coincidence system and the transform between it and maxterm expansion

Based on the features of coincidence operation, a canonical OR coincidence (COC) expansion of logical functions in the OR-coincidence algebraic system is proposed, and its mapping expression (d_j-map) is given. Then two new operations are introduced and the matrix form of COC expansion is discussed. This paper also introduces the mapping transform between COC expansion and maxterm expansion.