Minimal models for rational closure in SHIQ

Laura Giordano, Valentina Gliozzi, Nicola Olivetti, Gian Luca Pozzato · 2014

Abstract. We introduce a notion of rational closure for the logic SHIQ based on the well-known rational closure by Lehmann and Magidor [21]. 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. 1

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