Weakly Fair Validity Sample Clauses

Weakly Fair Validity. Theorem 19 (weakly fair validity). Suppose the network is synchronous. Then, HBA achieves weakly fair validity under the assumption of static adversary.
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Weakly Fair Validity. In this work, however, we show that if a BA protocol only executes once, it is impossible to achieve both responsiveness and strongly fair validity. Hence, we define a weaker notion of fairness, called weakly fair valid- ity, which captures the decided values when the BA protocol is executed many times. When applying to blockchains, BA is usually executed once for each block. Thus, weak fair validity is a reasonable metric if we examine the distribution of the proposers for a series of blocks. We will formally introduce and justify the definition in Section III.
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