Abstract
We propose a logical analysis of the concept of typicality, central in human cognition (Rosch 1978). We start from a previously proposed extension of the basic Description Logic \(\mathcal {ALC}\) with a typicality operator \(\mathbf{T}\) that allows to consistently represent the attribution to classes of individuals of properties with exceptions (as in the classic example (i) typical birds fly, (ii) penguins are birds but (iii) typical penguins don’t fly). We then strengthen this extension in order to separately reason about the typicality with respect to different aspects (e.g., flying, having nice feather: in the previous example, penguins may not inherit the property of flying, for which they are exceptional, but can nonetheless inherit other properties, such as having nice feather).
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This research is partially supported by INDAM-GNCS Project 2016 “Ragionamento Defeasible nelle Logiche Descrittive”.
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Gliozzi, V. (2016). Reasoning about Multiple Aspects in Rational Closure for DLs. In: Adorni, G., Cagnoni, S., Gori, M., Maratea, M. (eds) AI*IA 2016 Advances in Artificial Intelligence. AI*IA 2016. Lecture Notes in Computer Science(), vol 10037. Springer, Cham. https://doi.org/10.1007/978-3-319-49130-1_29
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