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Renaming in an asynchronous environment Export

J. ACM, Vol. 37, No. 3. (1990), pp. 524-548.

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1990 asynchronous renaming

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This paper is concerned with the solvability of the problem of processor renaming in unreliable, completely asynchronous distributed systems. Fischer et al. prove in [8] that “nontrivial consensus” cannot be attained in such systems, even when only a single, benign processor failure is possible. In contrast, this paper shows that problems of processor renaming can be solved even in the presence of up to t < n /2 faulty processors, contradicting the widely held belief that no nontrivial problem can be solved in such a system. The problems deal with renaming processors so as to reduce the size of the initial name space. When only uniqueness of the new names is required, we present a lower bound of n + 1 on the size of the new name space, and a renaming algorithm that establishes an upper bound on n + t . If the new names are required also to preserve the original order, a tight bound of 2′( n - t + 1) - 1 is obtained.


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