On the Relation between Interpreted Systems and Kripke Models

We compare Kripke models and hypercube systems, a simplified notion of Interpreted Systems, as semantic structures for reasoning about knowledge. Our method is to define a map from the class of hypercube systems to the class of Kripke frames, another in the opposite direction, and study their properties and compositions. We show that it is possible to characterise semantically the frames that are images of the hypercube systems.