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In dealing with the field of inconsistency, measuring and resolving conflicts are two interesting concepts allowing to make a better reasoning. In this paper, we address these two essential questions. Firstly, we propose a new framework for inconsistency handling based on independent sets of MUSes. In fact, we propose to rank the knowledge bases using a sequence of number that represents independent sets of MUSes. Such sequence is able to catch more finely the structure of MUSes. Moreover, an inconsistency measure is instantiated based on such sequence. Secondly, we address the question of inconsistency resolving through hitting set deletion. In this case we show the interesting points of our new approach which selects hitting sets covering minimum subset of MUSes. Indeed, a framework is defined for the computation of such hitting sets. Furthermore, a derived underlying decision problem is defined. A special case of such decision problem is known to be defined in the literature as SIM-UNSAT and its complexity is still open.
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