Abstract
We define new encodings from Max-CSP into Partial Max-SAT which are obtained by modelling the at-most-one condition with the sequential SAT encoding of the cardinality constraint ≤ 1 (x 1, ...,x n ). They have fewer clauses than the existing encodings, and the experimental results indicate that they have a better performance profile.
Research funded by European project Mancoosi (FP7-ICT-214898), FCT projects Bsolo (PTDC/EIA/76572/2006) and SHIPs (PTDC/EIA/64164/2006), and the Ministerio de Ciencia e Innovación projects CONSOLIDER CSD2007-0022, INGENIO 2010, TIN2006-15662-C02-02, and TIN2007-68005-C04-04.
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References
Ansótegui, C., Manyà, F.: Mapping Problems with Finite-Domain Variables to Problems with Boolean Variables. In: Hoos, H.H., Mitchell, D.G. (eds.) SAT 2004. LNCS, vol. 3542, pp. 1–15. Springer, Heidelberg (2005)
Argelich, J., Cabiscol, A., Lynce, I., Manyà, F.: Encoding Max-CSP into Partial Max-SAT. In: ISMVL 2008 (2008)
Argelich, J., Cabiscol, A., Lynce, I., Manyà, F.: Modelling Max-CSP as Partial Max-SAT. In: Kleine Büning, H., Zhao, X. (eds.) SAT 2008. LNCS, vol. 4996, pp. 1–14. Springer, Heidelberg (2008)
Argelich, J., Cabiscol, A., Lynce, I., Manyà, F.: Regular encodings from Max-CSP into Partial Max-SAT. In: ISMVL 2009 (2009)
Argelich, J., Li, C.M., Manyà, F.: An improved exact solver for Partial Max-SAT. In: NCP-2007, pp. 230–231 (2007)
Sinz, C.: Towards an optimal CNF encoding of Boolean cardinality constraints. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 827–831. Springer, Heidelberg (2005)
Walsh, T.: SAT v CSP. In: Dechter, R. (ed.) CP 2000. LNCS, vol. 1894, pp. 441–456. Springer, Heidelberg (2000)
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Argelich, J., Cabiscol, A., Lynce, I., Manyà, F. (2009). Sequential Encodings from Max-CSP into Partial Max-SAT. In: Kullmann, O. (eds) Theory and Applications of Satisfiability Testing - SAT 2009. SAT 2009. Lecture Notes in Computer Science, vol 5584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02777-2_17
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DOI: https://doi.org/10.1007/978-3-642-02777-2_17
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