Byzantine Consensus Algorithm Sample Contracts

Accountable Byzantine Agreement
Byzantine Consensus Algorithm β€’ April 28th, 2024

In this paper, we introduce Polygraph, the first accountable Byzantine consensus algorithm. If among 𝑛 users 𝑑 < 𝑛/3 are malicious then it ensures consensus; otherwise (if 𝑑 β‰₯ 𝑛/3), it eventually detects malicious users that cause disagree- ment. Polygraph is appealing for blockchain applications as it allows them to totally order blocks in a chain whenever possible, hence avoiding forks and double spending and, oth- erwise, to punish (e.g., via slashing) at least 𝑛/3 malicious users when a fork occurs. This problem is more difficult than perhaps it first appears. One could try identifying ma- licious senders by extending classic Byzantine consensus algorithms to piggyback signed messages. We show how- ever that to achieve accountability the resulting algorithms would then need to exchange Ξ©(πœ… Β· 𝑛2) more bits, where πœ… is the security parameter of the signature scheme. By con- trast, Polygraph has communication complexity 𝑂(πœ… Β· 𝑛4). Finally, we implement Polygraph in a blockchain commit

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Polygraph: Accountable Byzantine Agreement
Byzantine Consensus Algorithm β€’ June 10th, 2020

In this paper, we introduce Polygraph, the first accountable Byzantine consensus algorithm. If among n users t < n/3 are malicious then it ensures consensus, otherwise ( f n/3) it eventually detects malicious users that cause disagreement. Polygraph is appealing for blockchain applications as it al- lows them to totally order blocks in a chain whenever possible, hence avoiding forks and double spending and, otherwise, to punish (e.g., via slashing) at least n/3 malicious users when a fork occurs. This problem is more difficult than perhaps it first appears. We show that a commonly used state-of-the- art Byzantine fault tolerance consensus algorithm cannot be

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