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arXiv 1104.2844cs.LOmath.LO
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描述逻辑TBox:模型论刻画与可重写性

Description Logic TBoxes: Model-theoretic Characterizations and Rewritability

Carsten Lutz, Robert Piro, Frank Wolter

摘要:

我们描述的描述逻辑(DL)TBox的表达能力,无论是表达DL,如ALC和ALCQIO和轻量级DL,如DL-Lite和EL。我们的刻画是相对于一阶逻辑,基于广泛的语义概念,如互模拟,等模拟,不相交的工会,和直接产品。我们首先研究了以下一类新的决策问题:给定一个在DL L中表示的TBox T,决定T是否可以等价地重写为L的片段L'中的TBox。

英文摘要:

We characterize the expressive power of description logic (DL) TBoxes, both for expressive DLs such as ALC and ALCQIO and lightweight DLs such as DL-Lite and EL. Our characterizations are relative to first-order logic, based on a wide range of semantic notions such as bisimulation, equisimulation, disjoint union, and direct product. We exemplify the use of the characterizations by a first study of the following novel family of decision problems: given a TBox T formulated in a DL L, decide whether T can be equivalently rewritten as a TBox in the fragment L' of L.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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