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In computer science, a binary decision diagram (BDD) or branching program is a data structure that is used to represent a Boolean function.On a more abstract level, BDDs can be considered as a compressed representation of sets or relations.
A binary decision diagram (BDD) is a way to visually represent a boolean function. One application of BDDs is in CAD software and digital circuit analysis where they are an efficient way to represent and manipulate boolean functions. [6] Reduced Ordered Binary Decision Diagram for the boolean function
An ADD is an extension of a reduced ordered binary decision diagram, or commonly named binary decision diagram (BDD) in the literature, which terminal nodes are not restricted to the Boolean values 0 (FALSE) and 1 (TRUE). [1] [2] The terminal nodes may take any value from a set of constants S.
A zero-suppressed decision diagram (ZSDD or ZDD) is a particular kind of binary decision diagram (BDD) with fixed variable ordering. This data structure provides a canonically compact representation of sets, particularly suitable for certain combinatorial problems. Recall the Ordered Binary Decision Diagram (OBDD) reduction strategy, i.e. a ...
His most well-known publication [6] in 1986 was "Graph-Based Algorithms for Boolean Function Manipulation", in which binary decision diagram (BDDs) was presented as a novel data structure for representing Boolean functions and manipulation algorithms. BDDs has been used extensively in fields such as digital circuit testing and synthesis and ...
succinct versions of many graph problems, with graphs represented as Boolean circuits, [43] ordered binary decision diagrams [44] or other related representations: s-t reachability problem for succinct graphs. This is essentially the same as the simplest plan existence problem in automated planning and scheduling. planarity of succinct graphs
A binary moment diagram (BMD) is a generalization of the binary decision diagram (BDD) to linear functions over domains such as booleans (like BDDs), but also to integers or to real numbers. [ 1 ] [ 2 ]
Similar to binary decision diagrams (BDDs), where nodes represent Shannon expansion with respect to the according variable, we can define a decision diagram based on the Reed–Muller expansion. These decision diagrams are called functional BDDs (FBDDs).