Abstract
A failure detector is a device (object) that provides the processes with information on failures. Failure detectors were introduced to enrich asynchronous systems so that it becomes possible to solve problems (or implement concurrent objects) that are otherwise impossible to solve in pure asynchronous systems where processes are prone to crash failures. The most famous failure detector (which is called “eventual leader” and denoted \(\varOmega \)) is the weakest failure detector which allows consensus to be solved in n-process asynchronous systems where up to \(t=n-1\) processes may crash in the read/write communication model, and up to \(t<n/2\) processes may crash in the message-passing communication model. In these models, all correct processes are supposed to participate in a consensus instance and in particular the eventual leader.
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