Abstract
The presence of uncertainty in the real world makes robustness a desirable property of solutions to Constraint Satisfaction Problems (CSP). A solution is said to be robust if it can be easily repaired when unexpected events happen. This has already been addressed in the frameworks of Boolean satisfiability (SAT) and Constraint Programming (CP). In this paper we consider the unaddressed problem of robustness in weighted MaxSAT, by showing how robust solutions to weighted MaxSAT instances can be effectively obtained via reformulation into pseudo-Boolean formulae. Our encoding provides a reasonable balance between increase in size and performance. We also consider flexible robustness for problems having some unrepairable breakage, in other words, problems for which there does not exist a robust solution.
This is a summary of the paper: Miquel Bofill, Dídac Busquets, Víctor Muñoz, Mateu Villaret, “Reformulation based MaxSAT robustness”, Constraints, April 2013, Volume 18, Issue 2, pp 202-235, doi link: http://dx.doi.org/10.1007/s10601-012-9130-2 . A preliminary version of this work was published in: Miquel Bofill, Dídac Busquets, Mateu Villaret, “A declarative approach to robust weighted Max-SAT”, Proceedings of the 12th international ACM SIGPLAN symposium on Principles and practice of declarative programming (PPDP 2010).
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Bofill, M., Busquets, D., Villaret, M. (2014). Reformulation Based MaxSAT Robustness. In: O’Sullivan, B. (eds) Principles and Practice of Constraint Programming. CP 2014. Lecture Notes in Computer Science, vol 8656. Springer, Cham. https://doi.org/10.1007/978-3-319-10428-7_65
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DOI: https://doi.org/10.1007/978-3-319-10428-7_65
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