AAAI Publications, Fourteenth International Conference on the Principles of Knowledge Representation and Reasoning

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Axioms .2 and .4 as Interaction Axioms
Guillaume Aucher

Last modified: 2014-05-04

Abstract


In epistemic logic, some axioms dealing with the notion of knowledge are rather convoluted and it is difficult to give them an intuitive interpretation, even if some of them, like .2 and .4, are considered by some epistemic logicians to be key axioms. We show that they can be characterized in terms of understandable interaction axioms relating knowledge and belief. In order to show it, we first present a theory dealing with the characterization of axioms in terms of interaction axioms in modal logic. We then apply the main results and methods of this theory to obtain our results related to epistemic logic.

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