Singer Island, FL
Oct. 24, 1984 to Oct. 26, 1984
R. Fagin , IBM Research Laboratory
Understanding knowledge is a fundamental issue in many disciplines. In computer science, knowledge arises not only in the obvious contexts (such as knowledge-based systems), but also in distributed systems (where the goal is to have each processor "know" something, as in Byzantine agreement). A general semantic model of knowledge is introduced, to allow reasoning about statements such as "He knows that I know whether or not she knows whether or not it is raining." This approach more naturally models a state of knowledge than previous proposals (including Kripke structures). Using this notion of model, a model theory for knowledge is developed. This theory enables one to interpret such notions as a "finite amount of information" and "common knowledge" in different contexts.
R. Fagin, J.Y. Halpern, M.Y. Vardi, "A Model-Theoretic Analysis Of Knowledge: Preliminary Report", FOCS, 1984, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science 1984, pp. 268-278, doi:10.1109/SFCS.1984.715925