Abstract: Reasoning about knowledge seems to play a fundamental role in distributed systems. Indeed, such reasoning is a central part of the informal intuitive arguments used in the design of distributed protocols. Communication in a distributed system can be viewed as the act of transforming the system's state of knowledge. This paper presents a general framework for formalizing and reasoning about knowledge in distributed systems. We argue that states of knowledge of groups of processors are useful concepts for the design and analysis of distributed protocols. In particular, distributed knowledge corresponds to knowledge that is ``distributed'' among the members of the group, while common knowledge corresponds to a fact being ``publicly known''. The relationship between common knowledge and a variety of desirable actions in a distributed system is illustrated. Furthermore, it is shown that, formally speaking, in practical systems common knowledge cannot be attained. A number of weaker variants of common knowledge that are attainable in many cases of interest are introduced and investigated.
| Comments: | This paper is copyrighted by ACM and appears in the ACM Digital Library |
| Subjects: | Distributed, Parallel, and Cluster Computing (cs.DC); Artificial Intelligence (cs.AI) |
| ACM classes: | C.2.2, C.2.4, D.2.4, I.2.4, F.3.1, F.3.1 |
| Cite as: | arXiv:cs/0006009 [cs.DC] |
| (or arXiv:cs/0006009v1 [cs.DC] for this version) | |
| https://doi.org/10.48550/arXiv.cs/0006009 arXiv-issued DOI via DataCite |
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| Journal reference: | Journal of the ACM 37:3, 1990, pp. 549--587 |
Submission history
From: Joseph Y. Halpern [view email]
[v1]
Fri, 2 Jun 2000 18:43:33 UTC (56 KB)