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Lecture Notes in Computer Science
Default logic is one of the most popular and successful formalisms for non-monotonic reasoning. In 2002, Bonatti and Olivetti introduced several sequent calculi for credulous and skeptical reasoning in propositional default logic. In this paper we examine these calculi from a proof-complexity perspective. In particular, we show that the calculus for credulous reasoning obeys almost the same bounds on the proof size as Gentzen's system LK . Hence proving lower bounds for credulous reasoning willdoi:10.1007/978-3-642-14186-7_5 fatcat:m3j2j4evynb33ljd25w4ot234e