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# validity: all processes decide on a value that was some process's input value;
=== Assumptions ===▼
Before arguing that the
▲=== Assumptions ===
Furthermore, note that this algorithm assumes the existence of ''eventually strong failure detector'' (which are accessible and can be used to detect the crash of a node). An eventually strong failure detector is one that ''never'' identifies ''some'' specific non-faulty (or correct) process as having failed, after some initial period of confusion, and, at the same time, eventually identifies ''all'' faulty processes as failed.
=== Proof of correctness ===
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