A combinatorial characterization of the distributed 1-solvable tasks
Journal of Algorithms
Unreliable failure detectors for reliable distributed systems
Journal of the ACM (JACM)
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This paper defines the basic notions of local and non-local tasks, and determines the minimum information about failures that is necessary to solve any non-local task in message-passing systems. It also introduces a natural weakening of the well-known set agreement task, and show that, in some precise sense, it is the weakest non-local task in message-passing systems.