Sympathy: fast exact minimization of fixed polarity Reed-Muller expressions for symmetric functions

In this paper, a polynomial time algorithm for the minimization of fixed polarity Reed-Muller expressions (FPRMs) for totally symmetric functions based on ordered functional decision diagrams (OFDDs) is presented. A generalization to partially symmetric functions is investigated. The algorithm has been implemented as the program Sympathy. Experimental results in comparison to previously published methods are given to show the efficiency of the approach.