基于网格的描述逻辑中的查询回答

Krishna Manoorkar, Ruoding Wang
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引用次数: 0

摘要

最近,我们引入了描述逻辑LE-$mathcal{ALC}$,用于在丰富形式语境的语义环境中进行推理,并开发了一种算法(ableaux algorithm)用于检查该逻辑中ABoxes的一致性(cite{van2023non})。本文研究了 LE-$\mathcal{ALC}$ 中以本体为中介的查询应答。特别是,我们证明了对于具有非循环 TBox 的 LE-$\mathcal{ALC}$ 知识库,可以直接使用我们的 tableaux 算法或通过使用一些附加规则对其进行扩展来高效地回答几种不同类型的查询。
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Query answering in lattice-based description logic
Recently, the description logic LE-$\mathcal{ALC}$ was introduced for reasoning in the semantic environment of the enriched formal contexts, and a tableaux algorithm was developed for checking the consistency of ABoxes in this logic \cite{van2023non}. In this paper, we study the ontology-mediated query answering in LE-$\mathcal{ALC}$. In particular, we show that several different types of queries can be answered efficiently for LE-$\mathcal{ALC}$ knowledge bases with acyclic TBoxes using our tableaux algorithm directly or by extending it with some additional rules.
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