Overview of the MBA protocol Sample Clauses

Overview of the MBA protocol. ⊥ Our construction is primarily founded on the following: If all honest nodes input the same value 𝑣, then all honest nodes output 𝑣. There- fore, we initially perform a “filter” procedure to retain only the “good cases”, where the good case implies that at least the majority of nodes have the same input. Following the filtering process, all honest nodes invoke ABA to determine whether to output a non- value based on the output of ABA. If ABA outputs 1, it indicates the existence of a good case. To achieve agreement, we need to ensure that all honest nodes output the same value under the good case. To maintain weak validity, we also need to guarantee that the output value aligns with the input of the majority of nodes. ⊥ It is crucial to ensure that when all honest nodes have the same input, they can collectively identify the occurrence of a good case. This leads to all honest nodes inputting 1 when invoking ABA. Following the validity property of ABA, this ensures that ABA must output 1. Consequently, all honest nodes output the same non- value, i.e., they output the input value. In our MBA, if all honest ( ) nodes input the same value 𝑣, where vc ≠ 0, it is evident that they will multicast Echo, 𝑣 . As a result, all honest nodes can receive
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