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Journal of Logic and Computation 1995 5(5):553-577; doi:10.1093/logcom/5.5.553
© 1995 by Oxford University Press
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Original Articles

Representing Incomplete Knowledge in Abductive Logic Programming

MARC DENECKER and DANNY de SCHREYE

Department of Computing, K.U. Leuven K. U.Leuven, Celestijnelaan 200A, B-3001 Leuven, Belgium. E-mail: marcddannyd{at}cs.kuleuven.ac.be

Recently, Gelfond and Lifschitz presented a formal language for representing incomplete knowledge on actions and states, and a sound translation from this language to extended logic programming. We present an alternative translation to abductive logic programming with integrity constraints and prove the soundness and completeness. In addition, we show how an abductive procedure can be used, not only for explanation, but also for deduction and proving satisfiability under uncertainty. From a more general perspective, this work can be viewed as a—successful—experiment in the declarative representation of and automated reasoning on incomplete knowledge using abductive logic programming.

Keywords: Uncertainty; abductive logic programming; situtation calculus


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