Categories and Subject Descriptors: F.4.1 [Mathematical Logic and Formal Languages]: Mathematical Logic -- model theory; I.2.4 [Artificial Intelligence]: Knowledge Representation Formalisms and Methods -- representation languages
General Terms: Theory
Additional Key Words and Phrases: Common knowledge, distributed systems, epistemology, knowledge, knowledge structures, Kripke structure, modal logic, possible worlds, reasoning about knowledge
Selected papers that cite this one
- Andrew Dabrowski, Lawrence S. Moss, and Rohit Parikh. Topological reasoning and the logic of knowledge. Annals of Pure and Applied Logic, 78(1-3):73-110, 4 April 1996.
- Ronald Fagin. A quantitative analysis of modal logic. The Journal of Symbolic Logic, 59(1):209-252, March 1994.
- Joseph Y. Halpern. A theory of knowledge and ignorance for many agents. Journal of Logic and Computation, 7(1):79-108, February 1997.
- Ron van der Meyden. Common knowledge and update in finite environments. Information and Computation, 140(2):115-157, 1 February 1998.
- Gil Neiger and Sam Toueg. Simulating synchronized clocks and common knowledge in distributed systems. Journal of the ACM, 40(2):334-367, April 1993.
Selected references
- Cynthia Dwork and Yoram Moses. Knowledge and common knowledge in a Byzantine environment: Crash failures. Information and Computation, 88(2):156-186, October 1990.
- Ronald Fagin and Moshe Y. Vardi. An internal semantics for modal logic: Preliminary report. In Proceedings of the Seventeenth Annual ACM Symposium on Theory of Computing, pages 305-315, Providence, Rhode Island, 6-8 May 1985.
- Joseph Y. Halpern and Yoram Moses. Knowledge and common knowledge in a distributed environment. Journal of the ACM, 37(3):549-587, July 1990.
- Joseph Y. Halpern and Moshe Y. Vardi. The complexity of reasoning about knowledge and time: Extended abstract. In Proceedings of the Eighteenth Annual ACM Symposium on Theory of Computing, pages 304-315, Berkeley, California, 28-30 May 1986.
- Yoram Moses and Mark R. Tuttle. Programming simultaneous actions using common knowledge: Preliminary version. In 27th Annual Symposium on Foundations of Computer Science, pages 208-221, Toronto, Ontario, Canada, 27-29 October 1986. IEEE.
- M. Pease, R. Shostak, and L. Lamport. Reaching agreement in the presence of faults. Journal of the ACM, 27(2):228-234, April 1980.
- Moshe Y. Vardi. On the complexity of epistemic reasoning. In Proceedings, Fourth Annual Symposium on Logic in Computer Science, pages 243-252, Asilomar Conference Center, Pacific Grove, California, 5-8 June 1989. IEEE Computer Society Press.