Computer Science – Distributed – Parallel – and Cluster Computing
Scientific paper
2011-02-24
Computer Science
Distributed, Parallel, and Cluster Computing
20 pages, 2 figures
Scientific paper
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.
Castañeda Armando
Herlihy Maurice
Rajsbaum Sergio
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