Abstract
In this paper we present a Partial MaxSAT solver based on successive calls to a SAT solver. At the kth iteration the SAT solver tries to certify that there exist an assignment that satisfies all but k clauses. The key idea is to add an additional variable to each soft clause and to introduce, at each iteration, at-least and at-most cardinality constraints restricting the possible values of these variables. We prove the correctness of our algorithm and compare it with other (Partial) MaxSAT solvers.
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