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Solving Over-Constrained Problems with SAT Technology

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Issue date
2005
Author
Argelich Romà, Josep
Manyà Serres, Felip
Suggested citation
Argelich Romà, Josep; Manyà Serres, Felip; . (2005) . Solving Over-Constrained Problems with SAT Technology. Lecture Notes in Computer Science, 2005, vol. 3569, p. 1-15. https://doi.org/10.1007/11499107_1.
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Abstract
We present a new generic problem solving approach for overconstrained problems based on Max-SAT. We first define a clausal form formalism that deals with blocks of clauses instead of individual clauses, and that allows one to declare each block either as hard (i.e., must be satisfied by any solution) or soft (i.e., can be violated by some solution). We then present two Max-SAT solvers that find a truth assignment that satisfies all the hard blocks of clauses and the maximum number of soft blocks of clauses. Our solvers are branch and bound algorithms equipped with original lazy data structures; the first one incorporates static variable selection heuristics while the second one incorporates dynamic variable selection heuristics. Finally, we present an experimental investigation to assess the performance of our approach on a representative sample of instances (random 2-SAT, Max-CSP, and graph coloring).
URI
http://hdl.handle.net/10459.1/57269
DOI
https://doi.org/10.1007/11499107_1
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Lecture Notes in Computer Science, 2005, vol. 3569, p. 1-15
European research projects
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  • Grup de Recerca en Energia i Intel·ligència Artificial (GREiA) (INSPIRES) [376]
  • Articles publicats (Informàtica i Enginyeria Industrial) [755]
  • Publicacions de projectes de recerca del Plan Nacional [2172]

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  • Modelling Max-CSP as Partial Max-SAT 

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    We define a number of original encodings that map MaxCSP instances into partial Max-SAT instances. Our encodings rely on the well-known direct and support encodings from CSP into SAT. Then, we report on an experimental ...
  • The first and second Max-SAT evaluations 

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    We describe the organization and report on the results of the First and Second Max-SAT Evaluations, which were organized as affiliated events of the 2006 and 2007 editions of the International Conference on Theory and ...
  • Analyzing the instances of the MaxSAT evaluation 

    Argelich Romà, Josep; Li, Chu-Min; Manyà Serres, Felip; Planes Cid, Jordi (Springer Verlag, 2011)
    The MaxSAT Evaluation [1] is an affiliated event of the SAT Conference that is held every year since 2006, and is devoted to empirically evaluate exact MaxSAT algorithms solving any of the following problems: MaxSAT, ...

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