A Description Logic Framework for Commonsense Conceptual Combination Integrating Typicality, Probabilities and Cognitive Heuristics

Journal of Experimental and Theoretical Artificial Intelligence:1-39 (2019)
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Abstract

We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of the combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC + TR, whose semantics is based on the notion of rational closure, as well as on the distributed semantics of probabilistic Description Logics, and is equipped with a cognitive heuristic used by humans for concept composition. We first extend the logic of typicality ALC + TR by typicality inclusions of the form p :: T(C) v D, whose intuitive meaning is that “we believe with degree p about the fact that typical Cs are Ds”. As in the distributed semantics, we define different scenarios containing only some typicality inclusions, each one having a suitable probability. We then exploit such scenarios in order to ascribe typical properties to a concept C obtained as the combination of two prototypical concepts. We also show that reasoning in the proposed Description Logic is EXPTIME-complete as for the underlying standard Description Logic ALC.

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Antonio Lieto
University of Turin

Citations of this work

Book: Cognitive Design for Artificial Minds.Antonio Lieto - 2021 - London, UK: Routledge, Taylor & Francis Ltd.
Concept Combination in Weighted Logic.Guendalina Righetti, Claudio Masolo, Nicolas Toquard, Oliver Kutz & Daniele Porello - 2021 - In Proceedings of the Joint Ontology Workshops 2021 Episode {VII:} The Bolzano Summer of Knowledge co-located with the 12th International Conference on Formal Ontology in Information Systems {(FOIS} 2021), and the 12th Internati.
A System for Automatic Emotion Attribution based on a Commonsense Reasoning Framework.Antonio Lieto - 2021 - In Proceedings of AISC Graduate Conference. Roma RM, Italia: pp. 1-8.

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