Relevant Failure Detectors Sample Clauses

Relevant Failure Detectors. E We further enhance the environment, denoted , by assuming that each process has access to (one or more) failure detector(s) [4]. A failure detector is a module that provides each process with possibly inaccurate information about the occurrence of failures in the system. Below, we list three known types of failure detectors that enable solving Consensus and NBAC in an otherwise asynchronous distributed system. The class quorum failure detector Σ: Specifically, Σ outputs at each process a set of processes such that any two sets intersect, and eventually every set output at correct processes consists only of correct processes. It was shown in [8] that Σ is the weakest failure detector to implement atomic registers. The class leader failure detector Ω: The failure detector Ω outputs the id of some process at each process. There is a time after which it outputs the id of the same correct process at all correct processes [3]. It was shown in [8] that (Ω, Σ) is the weakest failure detector to solve Consensus for all environments4. P P The class ? : A failure detector that belongs to the class ? provides a boolean value to each process while maintaining the following property [13]: • Anonymous Accuracy: The failure detector eventually returns true if and only if some process in the system has crashed. P P P The class Ψ: For an initial period of time, the output of Ψ at each process is false. Eventually Ψ behaves either like the failure detector (Ω, Σ) at all processes, or, in case a failure previously occurred, it may behave like the failure detector ? at all processes. The switch from false to ? is allowable only if a failure previously occurred. In [8] it is proved that (Ψ, ? ) is the weakest failure detector to solve NBAC, while Ψ is the weakest failure detector to solve Quitable Consensus. 4Let us state for completeness that the class known as Pf [7] has been shown to be equivalent to Σ [11]. Also, each of the classes known as W and S have been shown to be equivalent to Ω [4, 6].
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