Iterative belief revision in extended logic programming

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Abstract

Extended logic programming augments conventional logic programming with both default and explicit negation. Several semantics for extended logic programs have been proposed that extend the well-founded semantics for logic programs with default negation (called normal programs). We show that two of these extended semantics are intractable; both Dung's grounded argumentation semantics and the well-founded semantics of Alferes et al. are NP-hard. Nevertheless, we also show that these two semantics have a common core, a more restricted form of the grounded semantics, which is tractable and can be computed iteratively in quadratic time. Moreover, this semantics is a representative of a rich class of tractable semantics based on a notion of iterative belief revision.

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You, J. H., Cartwright, R., & Li, M. (1996). Iterative belief revision in extended logic programming. Theoretical Computer Science, 170(1–2), 383–406. https://doi.org/10.1016/S0304-3975(96)80712-2

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