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Tremendous research e↵ort has been dedicated over the years to thoroughly investigate non-monotonic reasoning. With the abundance of non-monotonic logical formalisms, a unified theory that enables comparing the di↵erent approaches is much called for. In this paper, we present an algebraic graded logic we refer to as LogAG capable of encompassing various non-monotonic logics. One of the most widely studied logics of uncertainty is possibilistic logic tailored for non-monotonic reasoning underdblp:conf/ki/EhabI18 fatcat:qfja2fwrz5dendwikcm3z7u3je