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25th Annual Symposium on Foundations of Computer Science (FOCS 1984)
Singer Island, FL
October 24-October 26
ISBN: 0-8186-0591-X
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, pp.268-278, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984
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