Abstract
We analyze the complexity of optimization problems expressed using valued constraints. This very general framework includes a number of well-known optimization problems such as MAX-SAT, and Weighted MAX-SAT, as well as properly generalizing the classical CSP framework by allowing the expression of preferences. We focus on valued constraints over Boolean variables, and we establish a dichotomy theorem which characterizes the complexity of any problem involving a fixed set of constraints of this kind.
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Cohen, D., Cooper, M., Jeavons, P. (2004). A Complete Characterization of Complexity for Boolean Constraint Optimization Problems. In: Wallace, M. (eds) Principles and Practice of Constraint Programming – CP 2004. CP 2004. Lecture Notes in Computer Science, vol 3258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30201-8_18
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DOI: https://doi.org/10.1007/978-3-540-30201-8_18
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