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arXiv · 1102.4946

An Equivariance Theorem with Applications to Renaming (Preliminary Version)

Armando Castañeda·Maurice Herlihy·Sergio Rajsbaum
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Abstract

In the renaming problem, each process in a distributed system is issued a unique name from a large name space, and the processes must coordinate with one another to choose unique names from a much smaller name space. We show that lower bounds on the solvability of renaming in an asynchronous distributed system can be formulated as a purely topological question about the existence of an equivariant chain map from a topological disk to a topological annulus. Proving the non-existence of such a map implies the non-existence of a distributed renaming algorithm in several related models of computation.

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Armando Castañeda, Maurice Herlihy, Sergio Rajsbaum. 2011-02-24. An Equivariance Theorem with Applications to Renaming (Preliminary Version). https://arxiv.org/abs/1102.4946

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