Nonmonotonic Logic II: Nonmonotonic Modal Theories
Journal of the ACM (JACM)
Proceedings of the 6th Colloquium, on Automata, Languages and Programming
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CRYPTO '89 Proceedings on Advances in cryptology
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CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
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Knowledge and common knowledge in a distributed environment
PODC '84 Proceedings of the third annual ACM symposium on Principles of distributed computing
Knowledge, common knowledge and related puzzles (Extended Summary)
PODC '84 Proceedings of the third annual ACM symposium on Principles of distributed computing
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TARK '86 Proceedings of the 1986 conference on Theoretical aspects of reasoning about knowledge
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Proceedings of the 2nd ACM international workshop on Wireless multimedia networking and performance modeling
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We present a logic LL which uses a modal operator L to help capture the notion of likely. Despite the fact that no use is made of numbers, LL can capture many of the properties of likelihood in an intuitively appealing way. Using standard techniques of modal logic, we give a complete axiomatization for LL and show that satisfiability of LL formulas can be decided in exponential time. We discuss how the logic might be used in areas where decision making is crucial, such as management and medical diagnosis, and conclude by using LL to give a formal proof of correctness of a protocol for exchanging secrets.