optsat: A Tool for Solving SAT Related Optimization Problems

  • Enrico Giunchiglia
  • Marco Maratea
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4160)


Propositional satisfiability (SAT) is one of the most important and central problems in Artificial Intelligence and Computer Science. Basically, most SAT solvers are based on the well-known Davis-Logemann-Loveland (DLL) procedure. DLL is a decision procedure: given a SAT formula φ, it can decide if φ is satisfiable (and it can return a satisfying assignment μ), or not. Often, this is not suffi- cient, in that we would like μ to be also “optimal”, i.e., that has also to minimize/ maximize a given objective function. max-sat, min-one, distance-sat and their weighted versions are popular optimization problems. (In the following, φ is the input formula expressed as a set of clauses). Almost all the systems that can deal with these problems follow a classical branch&bound schema: whenever a satisfying assignment μ for φ with a cost c μ is found, the search goes on looking for another satisfying assignment with a lower (or higher, depending on the problem) cost.


Propositional Variable Boolean Modeling Satisfying Assignment Input Formula Clause Selector 
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 2006

Authors and Affiliations

  • Enrico Giunchiglia
    • 1
  • Marco Maratea
    • 1
  1. 1.STAR-Lab, DISTUniversity of GenovaGenovaItaly

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