Condition-Based Protocols for Set Agreement Problems
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Hundreds of impossibility results for distributed computing
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Asynchronous exclusive selection
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New combinatorial topology bounds for renaming: The upper bound
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Subconsensus tasks: renaming is weaker than set agreement
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An equivariance theorem with applications to renaming
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Theoretical Computer Science
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This paper presents a self-contained study of wait-free solvable tasks. A new necessary condition for wait-free solvability, based on a restricted set of executions, is proved. This set of executions induces a very simple-to-understand structure, which is used to prove tight bounds for k-set consensus and renaming. The framework is based on topology, but uses only elementary combinatorics, and, in contrast to previous works, does not rely on algebraic or geometric arguments.