Abstract
We first define a mapping from CSP to many-valued SAT which allows to solve CSP instances with many-valued SAT solvers. Second, we define a new many-valued resolution rule and prove that it is refutation complete for many-valued CNF formulas and, moreover, enforces CSP (i,j)-consistency when applied to a many-valued SAT encoding of a CSP. Instances of our rule enforce well-known local consistency properties such as arc consistency and path consistency.
Research partially supported by projects iDEAS (TIN2004-04343), Mulog (TIN2004-07933-C03-01/03) and IEA (TIN2006-15662-C02-02) funded by the MEC.
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Ansótegui, C., Bonet, M.L., Levy, J., Manyà, F. (2007). Mapping CSP into Many-Valued SAT. In: Marques-Silva, J., Sakallah, K.A. (eds) Theory and Applications of Satisfiability Testing – SAT 2007. SAT 2007. Lecture Notes in Computer Science, vol 4501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72788-0_4
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