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Almost Everywhere Agreement

Definition

Almost Everywhere Agreement refers to a state where a vast majority of participants in a distributed system reach consensus, even if a small, negligible fraction does not. This concept acknowledges that perfect, unanimous agreement can be impractical or impossible in large-scale, asynchronous networks. It allows for minor discrepancies without compromising the overall operational integrity of the system. This approach is particularly relevant in the context of probabilistic finality in some blockchain designs.