Description Logic TBoxes: Model-theoretic Characterizations and Rewritability

Carsten Lutz; Robert Piro; Frank Wolter

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arXiv · 1104.2844

Description Logic TBoxes: Model-theoretic Characterizations and Rewritability

Carsten Lutz·Robert Piro·Frank Wolter

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Abstract

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.

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Carsten Lutz, Robert Piro, Frank Wolter. 2011-04-14. Description Logic TBoxes: Model-theoretic Characterizations and Rewritability. https://arxiv.org/abs/1104.2844

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