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C k }, a subset M ? S is a minimal unsatisfiable subset (MUS) of S w.r.t. H if M [ H is unsatisfiable, and M 0 [ H is satisfiable for every M 0 ( M . A minimal correction subset (MCS) of S w.r.t. H is a subset M ? S such that (S\M ) [ H is satisfiable and (S\M 0 ) [ H is unsatisfiable for every M 0 ( M . The sets of MUSes and MCSes are hitting set duals of one another: the MUSes are the minimal hitting sets of the MCSes and vice versa, The maximal satisfiable subsets (MSSes) are the complements of the MCSes in S ,