Shared binary decision diagram with attributed edges for efficient Boolean function manipulation

Abstract

The efficiency of Boolean function manipulation depends on the form of representation of Boolean functions. Binary decision diagrams (BDDs) are graph representations proposed by S.B. Akers (1978) and R.E. Bryant (1985). BDDs have some properties which can be used to enable efficient Boolean function manipulation. The authors describe a technique of more efficient Boolean function manipulation that uses shared binary decision diagrams (SBDDs) with attributed edges. The implements include an ordering algorithm of input variables and a method of handling 'don't care'. A Boolean function manipulator using the above methods is developed and it is shown that the manipulator is very efficient in terms of speed and storage.<>