I have read that in order for some distributed systems to counter the FLP impossibility result, they change from a deterministic consensus protocol to a randomised consensus protocol, which gives a probabilistic approach to the system. Can anyone clarify this and the definitions for each
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You can find the answer to your question in the following papers:
- Another Advantage of Free Choice: Completely Asynchronous Agreement Protocols, PODC 1983
- The correctness proof of Ben-Or’s randomized consensus algorithm, Distributed Computing 2012

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