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Justification Awareness Models, JAMs, were proposed by S.~Artemov as a toolfor modelling epistemic scenarios like Russel's Prime Minister example. It wasdemonstrated that the sharpness and the injective property of a model playessential role in the epistemic usage of JAMs. The problem to axiomatize theseproperties using the propositional justification language was left opened. Wepropose the solution and define a decidable justification logic Jref that issound and complete with respect to the class of all sharp injectivejustification models.

On the sharpness and the injective property of basic justification models