Accountable Byzantine Agreement Sample Clauses

Accountable Byzantine Agreement. ‌ We now present the algorithm in more detail. The general algorithm has three phases. • First, in lines 1–8, each process uses reliable broadcast to transmit its value to all the others. Then, whenever a process receives a reliable broadcast message from a process 𝑝𝑘 , it proposes ‘1’ in binary consensus in- stance 𝑘. The first phase ends when there is at least one decision of ‘1’. • Second, in lines 10–12, each process proposes ‘0’ in every remaining binary consensus instance for which it has not yet proposed a value. The second phase ends when every consensus instance decides. • Third, in lines 14–16, each process identifies the small- est consensus instance 𝑗 that has decided ‘1’. (If there is no such consensus instance, then it does not decide at all.) It then waits until it has received the reliable broadcast message from 𝑝 𝑗 and outputs that value. First, we argue that it solves the consensus problem as long as 𝑡 ≤ 𝑡0: ≤ Lemma C.1 ( Agreement). If 𝑡 𝑡0, then every honest process eventually decides the same value. If all processes are honest and propose the same value, that is the only possible decision. ≤
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Accountable Byzantine Agreement. The problem of Byzan- tine Agreement, first introduced by Xxxxx, Xxxxxxx, and Xxx- port [23], assumes that each process begins with a binary input, i.e., either a 0 or a 1, outputs a decision, and requires three properties: agreement, validity, and termination. We define the Accountable Byzantine Agreement problem in a similar way, with the additional requirement that there exists a verification algorithm that can identify at least 𝑡0 + 1 Byzantine users whenever there is disagreement. (Recall that 𝑡0 = ⌈𝑛 ⌉ − 1.) More precisely: • Agreement: If 𝑡 ≤ 𝑡0, then every honest process that decides outputs the same decision value.
Accountable Byzantine Agreement. The problem of Byzantine Agreement, first introduced by Pease, Shostak, and Lamport [21], assumes that each process begins with a binary input, i.e., either a 0 or a 1, outputs a decision, and requires three properties: agreement, validity, and termination.
Accountable Byzantine Agreement. ‌ We now present the algorithm in more detail. The general algorithm has three phases. • First, in lines 1–8, each process uses reliable broadcast to transmit its value to all the others. Then, whenever a process receives a reliable broadcast message from a process pk, it proposes ‘1’ in binary consensus instance

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