Giovanni Casini and Umberto Straccia.
A Defeasible Reasoning in RDFS.

In Proceedings of the 20th International Workshop on Non-Monotonic Reasoning (NMR 2022), Part of the Federated Logic Conference (FLoC 2022), CEUR Workshop Proceedings 3197, pages 155-158, 2022.

Abstract:
For non-monotonic logics, the notion of Rational Closure (RC) is acknowledged as one of the main approaches. In this work we present an integration of RC within the triple language RDFS (Resource Description Framework Schema), which together with OWL 2 is a major standard semantic web ontology language. To do so, we start from 𝜌df, an RDFS fragment that covers the essential features of RDFS, and extend it to 𝜌𝑑𝑓⊥, allowing to state that two entities are incompatible/disjoint with each other. Eventually, we propose defeasible 𝜌𝑑𝑓⊥ via a typical RC construction allowing to state default class/property inclusions.