Consistency across epochs Sample Clauses

Consistency across epochs. Consistency across epochs is ensured with the help of proposal evidence. If a so-far honest node outputs b in epoch r, this node must have observed at least one commit message from a forever honest node. Since this forever honest node would have multicast the same commit message to everyone and moreover, no epoch-r commit message can contradict b, we may conclude that all forever honest nodes (at least f + 1 of them) will send an epoch-r report vouching for b. This means that in the next epoch r + 1, any valid evidence must vouch for b. Thus, a valid proposal for epoch r + 1 must propose b. In our formal proofs later, we will show that by induction, in fact, in all subsequent epochs greater than r, any valid proposal can only propose b. Note that this induction as well as the formal definition of valid evidence are arguably the most subtle part of the simplified protocol (without random eligibility election).
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