An epistemic operator for description logics
Artificial Intelligence
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Justification logics are epistemic logics that include explicit justifications for an agent's knowledge. In the present paper, we introduce a justification logic $\mathcal{JALC}$ over the description logic $\mathcal{ALC}$ . We provide a deductive system and a semantics for our logic and we establish soundness and completeness results. Moreover, we show that our logic satisfies the so-called internalization property stating that it internalizes its own notion of proof. We then sketch two applications of $\mathcal{JALC}$ : (i) the justification terms can be used to generate natural language explanations why an $\mathcal{ALC}$ statement holds and (ii) the terms can be used to study data privacy issues for description logic knowledge bases.