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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Deductive Inference for the Interiors and Exteriors of Horn Theories
verfasst von : Kazuhisa Makino, Hirotaka Ono
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
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In this paper, we investigate the deductive inference for the interiors and exteriors of Horn knowledge bases, where the interiors and exteriors were introduced by Makino and Ibaraki [11] to study stability properties of knowledge bases. We present a linear time algorithm for the deduction for the interiors and show that it is co-NP-complete for the deduction for the exteriors. Under model-based representation, we show that the deduction problem for interiors is NP-complete while the one for exteriors is co-NP-complete. As for Horn envelopes of the exteriors, we show that it is linearly solvable under model-based representation, while it is co-NP-complete under formula-based representation. We also discuss the polynomially solvable cases for all the intractable problems.