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Query Evaluation and Progression in AOL Knowledge Bases

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Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence. Automated Reasoning. Pages 124-130.

Abstract

Recently Lakemeyer and Levesque proposed the logic AO £, which amalgamates both the situation calculus and Levesque's logic of only knowing. While very expressive the practical relevance of the formalism is unclear because it heavily relies on second-order logic. In this paper we demonstrate that the picture is not as bleak as it may seem. In particular, we show that for large classes of AO £ knowledge bases and queries, including epistemic ones, query evaluation requires first-order reasoning only. We also provide a simple semantic definition of progressing a knowledge base. For a particular class of knowledge bases, adapted from earlier results by Lin and Reiter, we show that progression is first-order representable and easy to compute.

Gerhard Lakemeyer, and Hector J. Levesque. 1999. Query Evaluation and Progression in AOL Knowledge Bases. In Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence, IJCAI-99. IJCAI, 124–130. https://ijcai.org/proceedings/1999/19
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