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From Answer Set Logic Programming to Circumscription via Logic of GK

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Proceedings of the Twentieth International Joint Conference on Artificial Intelligence. Pages 441-445.

Abstract

We first provide a mapping from Pearce's equilibrium logic and Ferraris and Lifschitz's general logic programs to Lin and Shoham's logic of knowledge and justified assumptions, a nonmonotonic modal logic that has been shown to include as special cases both Reiter's default logic in the propositional case and Moore's autoepistemic logic. From this mapping, we obtain a mapping from general logic programs to circumscription, both in the propositional and first-order case. Furthermore, we show that this mapping can be used to check the strong equivalence between two propositional logic programs in classical logic.

Fangzhen Lin, and Yi Zhou. 2007. From Answer Set Logic Programming to Circumscription via Logic of GK. In Proceedings of the Twentieth International Joint Conference on Artificial Intelligence, IJCAI-07. IJCAI, 441–445. https://ijcai.org/proceedings/2007/69
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