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.
Minimal models for rational closure in SHIQ
GLIOZZI, Valentina;POZZATO, GIAN LUCA
2014-01-01
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.
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