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From above and from below: Approximating stable models

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Innovationen bei Rechen- und Kommunikationssystemen

Part of the book series: Informatik aktuell ((INFORMAT))

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Abstract

The well-founded semantics for normal logic programs is regarded as a constructive approximation of stable models. The construction is based on the consequence operator for definite programs in cooperation with the Gelfond-Lifschitz transformation. It is first shown that a well-founded approximation for disjunctive programs can be defined in quite the same way. It is then demonstrated that knowledge compilation — originally introduced as an approximative evaluation procedure for classical propositional logic — can be naturally combined with the well-founded construction. It is thereby possible to evaluate queries on a disjunctive program by a reduction to the more efficient well-founded semantics of normal programs.

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© 1994 Springer-Verlag Berlin Heidelberg

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Kalinski, J. (1994). From above and from below: Approximating stable models. In: Wolfinger, B. (eds) Innovationen bei Rechen- und Kommunikationssystemen. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51136-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-51136-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58313-4

  • Online ISBN: 978-3-642-51136-3

  • eBook Packages: Springer Book Archive

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