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Using Decision Trees to Derive the Complement of a Binary Function with Multiple-Valued Inputs

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1 Author(s)
Chan, A.H. ; 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.

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Computers, IEEE Transactions on  (Volume:C-36 ,  Issue: 2 )