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arXiv · 2405.00912

Solving unification in the description logic $\mathcal{FL}_\bot$

Barbara Morawska·Dariusz Marzec
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Abstract

We present an algorithm for solving the unification problem in the description logic $\mathcal{FL}_\bot$. This logic extends $\mathcal{FL}_0$ with the bottom constructor, and thus supports conjunction, value restrictions, top and bottom constructors. Unification of concepts can be a useful tool for ontology maintenance; however, little is known about unification even in small, restricted description logics. The unification problem has been solved only for $\mathcal{FL}_0$ and $\mathcal{EL}$. This paper contributes to the ongoing effort to extend these results to richer logics. Our algorithm runs in exponential time with respect to the size of the problem.

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Barbara Morawska, Dariusz Marzec. 2024-05-01. Solving unification in the description logic $\mathcal{FL}_\bot$. https://arxiv.org/abs/2405.00912

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