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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 is a choice between two alternatives, for instance between taking some specific action or not taking it. [1] Binary decisions are basic to many fields. Examples include: Truth values in mathematical logic, and the corresponding Boolean data type in computer science, representing a value which may be chosen to be either true or ...
An algebraic decision diagram (ADD) or a multi-terminal binary decision diagram (MTBDD), is a data structure that is used to symbolically represent a Boolean function whose codomain is an arbitrary finite set 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 ...
Marquand diagram: truth table values arranged in a two-dimensional grid (used in a Karnaugh map) Binary decision diagram, listing the truth table values at the bottom of a binary tree; Venn diagram, depicting the truth table values as a colouring of regions of the plane; Algebraically, as a propositional formula using rudimentary Boolean functions:
ordered binary decision diagram (OBDD) ordered linked list; ordered tree; order preserving hash; order preserving minimal perfect hashing; oriented acyclic graph; oriented graph; oriented tree; orthogonal drawing; orthogonal lists; orthogonally convex rectilinear polygon; oscillating merge sort; out-branching; out-degree; overlapping subproblems
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 ]
In a binary decision diagram, each non-sink vertex is labeled by the name of a binary variable, and each sink and each edge is labeled by a 0 or 1. The function value for any truth assignment to the variables is the value at the sink found by following a path, starting from the single source vertex, that at each non-sink vertex follows the ...