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Fusions of Description Logics and Abstract Description Systems

机译:描述逻辑与抽象描述系统的融合

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Fusions are a simple way of combining logics. For normal modal logics, fusions have been investigated in detail. In particular, it is known that, under certain conditions, decidability transfers from the component logics to their fusion. Though description logics are closely related to modal logics, they are not necessarily normal. In addition, ABox reasoning in description logics is not covered by the results from modal logics. In this paper, we extend the decidability transfer results from normal modal logics to a large class of description logics. To cover different description logics in a uniform way, we introduce abstract description systems, which can be seen as a common generalization of description and modal logics, and show the transfer results in this general setting.
机译:融合是组合逻辑的一种简单方法。对于常规模态逻辑,已经对融合进行了详细研究。特别地,已知在某些条件下,可判定性从组件逻辑转移到它们的融合。尽管描述逻辑与模态逻辑密切相关,但它们不一定是正常的。此外,模态逻辑的结果未涵盖描述逻辑中的ABox推理。在本文中,我们将可判定性转移结果从普通模态逻辑扩展到一大类描述逻辑。为了以统一的方式涵盖不同的描述逻辑,我们介绍了抽象描述系统,可以将其视为描述和模态逻辑的通用概括,并在此常规设置下显示传输结果。

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