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  1.  33
    A Toothful of Concepts: Towards a Theory of Weighted Concept Combination.Daniele Porello, Oliver Kutz, Guendalina Righetti, Nicolas Troquard, Pietro Galliani & Claudio Masolo - 2019 - In Mantas Simkus & Grant E. Weddell (eds.), Proceedings of the 32nd International Workshop on Description Logics, Oslo, Norway, June 18-21, 2019.
    We introduce a family of operators to combine Description Logic concepts. They aim to characterise complex concepts that apply to instances that satisfy \enough" of the concept descriptions given. For instance, an individual might not have any tusks, but still be considered an elephant. To formalise the meaning of "enough", the operators take a list of weighted concepts as arguments, and a certain threshold to be met. We commence a study of the formal properties of these operators, and study some (...)
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  2. A Resource-Sensitive Logic of Agency.Daniele Porello & Nicolas Troquard - 2014 - In Ios Press (ed.), Proceedings of the 21st European Conference on Artificial Intelligence (ECAI'14), Prague, Czech Republic. 2014. pp. 723-728.
    We study a fragment of Intuitionistic Linear Logic combined with non-normal modal operators. Focusing on the minimal modal logic, we provide a Gentzen-style sequent calculus as well as a semantics in terms of Kripke resource models. We show that the proof theory is sound and complete with respect to the class of minimal Kripke resource models. We also show that the sequent calculus allows cut elimination. We put the logical framework to use by instantiating it as a logic of agency. (...)
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  3.  29
    Logical Operators for Ontological Modeling.Stefano Borgo, Daniele Porello & Nicolas Troquard - 2014 - In Pawel Garbacz & Oliver Kutz (eds.), Formal Ontology in Information Systems - Proceedings of the Eighth International Conference, {FOIS} 2014, September, 22-25, 2014, Rio de Janeiro, Brazil}. pp. 23--36.
    We show that logic has more to offer to ontologists than standard first order and modal operators. We first describe some operators of linear logic which we believe are particularly suitable for ontological modeling, and suggest how to interpret them within an ontological framework. After showing how they can coexist with those of classical logic, we analyze three notions of artifact from the literature to conclude that these linear operators allow for reducing the ontological commitment needed for their formalization, and (...)
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