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Reduction of sizes of decision diagrams by autocorrelation functions

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3 Author(s)
Karpovsky, M.G. ; Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA ; Stankovic, R.S. ; Astola, J.T.

This paper discusses optimization of decisions diagrams (DDs) by total autocorrelation functions. We present an efficient algorithm for construction of linearly transformed binary decision diagrams (LT-BDDs) and Linearly transformed multiterminal BDDs (LT-MTBDDs) for systems of Boolean functions, based on linearization of these functions by the corresponding autocorrelation functions. Then, we present a method for reduction of sizes of DDs by a level-by-level reduction of the width of DDs using the total autocorrelation functions. The approach provides for a simple procedure for minimization of LT-BDDs and LT-MTBDDs and upper bounds on their sizes. Experimental results for benchmarks illustrate that the proposed method on average is very efficient.

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Computers, IEEE Transactions on  (Volume:52 ,  Issue: 5 )