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Mathematical Problems in Engineering
Volume 2013, Article ID 165927, 6 pages
Research Article

Message Passing Algorithm for Solving QBF Using More Reasoning

School of Computer Science and Information Technology, Northeast Normal University, Changchun 130117, China

Received 26 June 2013; Accepted 24 July 2013

Academic Editor: William Guo

Copyright © 2013 Su Weihua et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a novel solver for solving Quantified Boolean Formulae problem (QBF). In order to improve the performance, we introduce some reasoning rules into the message passing algorithm for solving QBF. When preprocessing the formulae, the solver incorporates the equality reduction and the hyperbinary resolution. Further, the solver employs the message passing method to obtain more information when selecting branches. By using the unit propagation, conflict driven learning, and satisfiability directed implication and learning, the solver handles the branches. The experimental results also show that the solver can solve QBF problem efficiently.