Issue No.02 - February (1987 vol.36)
A.H. Chan , MITRE Corporation, Bedford, MA 01730, and the College of Computer Science, Northeastern University
An algorithm to minimize decision trees of Boolean functions with multiple-valued inputs is presented. The recursive algorithm is used to obtain a complement of a sum-of-products expression for a binary function with multiple-valued inputs. In the case where each input is p-valued, the algorithm produces at most pn-l products for n-variable functions, whereas Sasao's algorithm produces pn/2 products. This upper bound on the number of products is the best possible.
products, Complement of logical expression, decision trees, disjunctive normal form, minimization of logical expressions, multiplevalued logic
A.H. Chan, "Using Decision Trees to Derive the Complement of a Binary Function with Multiple-Valued Inputs", IEEE Transactions on Computers, vol.36, no. 2, pp. 212-214, February 1987, doi:10.1109/TC.1987.1676883