Algorithms for Weighted Boolean Optimization

  • Vasco Manquinho
  • Joao Marques-Silva
  • Jordi Planes
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5584)


The Pseudo-Boolean Optimization (PBO) and Maximum Satisfiability (MaxSAT) problems are natural optimization extensions of Boolean Satisfiability (SAT). In the recent past, different algorithms have been proposed for PBO and for MaxSAT, despite the existence of straightforward mappings from PBO to MaxSAT, and vice-versa. This papers proposes Weighted Boolean Optimization (WBO), a new unified framework that aggregates and extends PBO and MaxSAT. In addition, the paper proposes a new unsatisfiability-based algorithm for WBO, based on recent unsatisfiability-based algorithms for MaxSAT. Besides standard MaxSAT, the new algorithm can also be used to solve weighted MaxSAT and PBO, handling pseudo-Boolean constraints either natively or by translation to clausal form. Experimental results illustrate that unsatisfiability-based algorithms for MaxSAT can be orders of magnitude more efficient than existing dedicated algorithms. Finally, the paper illustrates how other algorithms for either PBO or MaxSAT can be extended to WBO.


Soft Constraint Relaxation Variable Soft Clause Weighted MaxSAT Partial MaxSAT 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Vasco Manquinho
    • 1
  • Joao Marques-Silva
    • 2
  • Jordi Planes
    • 3
  1. 1.IST/UTL - INESC-IDPortugal
  2. 2.University College DublinIreland
  3. 3.Universitat de LleidaSpain

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