Symbolic Boolean manipulation with ordered binary-decision diagrams

Author:

Bryant Randal E.1

Affiliation:

1. School of Computer Science, Carnegie-Mellon University, Pittsburgh, Pennsylvania

Abstract

Ordered Binary-Decision Diagrams (OBDDs) represent Boolean functions as directed acyclic graphs. They form a canonical representation, making testing of functional properties such as satisfiability and equivalence straightforward. A number of operations on Boolean functions can be implemented as graph algorithms on OBDD data structures. Using OBDDs, a wide variety of problems can be solved through symbolic analysis . First, the possible variations in system parameters and operating conditions are encoded with Boolean variables. Then the system is evaluated for all variations by a sequence of OBDD operations. Researchers have thus solved a number of problems in digital-system design, finite-state system analysis, artificial intelligence, and mathematical logic. This paper describes the OBDD data structure and surveys a number of applications that have been solved by OBDD-based symbolic analysis.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science,Theoretical Computer Science

Reference47 articles.

1. Binary decision diagrams;B.;IEEE Trans. Comput. C-27,1978

2. Equivalence of free Boolean graphs can be decided probabilistically in polynomial time;CHANDRA A.K.;Inf. Process. Lett.,1980

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