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arXiv · 1406.2023

Rational Closure in SHIQ

Laura Giordano·Valentina Gliozzi·Nicola Olivetti·Gian Luca Pozzato
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Abstract

We define a notion of rational closure for the logic SHIQ, which does not enjoys the finite model property, building on the notion of rational closure introduced by Lehmann and Magidor in [23]. We provide a semantic characterization of rational closure in SHIQ in terms of a preferential semantics, based on a finite rank characterization of minimal models. We show that the rational closure of a TBox can be computed in EXPTIME using entailment in SHIQ.

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Laura Giordano, Valentina Gliozzi, Nicola Olivetti, Gian Luca Pozzato. 2014-06-08. Rational Closure in SHIQ. https://arxiv.org/abs/1406.2023

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