Refined Bitcoin Security-Latency Under Network Delay (2212.01372v4)
Abstract: We study security-latency bounds for Nakamoto consensus, i.e., how secure a block is after it becomes $k$-deep in the chain. We improve the state-of-the-art bounds by analyzing the race between adversarial and honest chains in three different phases. We find the probability distribution of the growth of the adversarial chains under models similar to those in [Guo, Ren; AFT 2022] when a target block becomes $k$-deep in the chain. We analyze certain properties of this race to model each phase with random walks that provide tighter bounds than the existing results. Combining all three phases provides novel upper and lower bounds for blockchains with small $\lambda\Delta$.
- D. Guo and L. Ren, “Bitcoin’s latency–security analysis made simple,” in ACM AFT 2022, September 2023.
- S. Nakamoto, “Bitcoin: A peer-to-peer electronic cash system.” https://bitcoin.org/bitcoin.pdf, March 2008.
- J. Garay, A. Kiayias, and N. Leonardos, “The bitcoin backbone protocol: Analysis and applications,” in EUROCRYPT 2015, April 2015.
- R. Pass and E. Shi, “Rethinking large-scale consensus,” in IEEE CSF 2017, August 2017.
- J. Li, D. Guo, and L. Ren, “Close latency-security trade-off for the nakamoto consensus,” in ACM AFT 2021, November 2021.
- P. Gazi, L. Ren, and A. Russell, “Practical settlement bounds for proof-of-work blockchains,” in ACM CCS 2022, November 2022.
- A. Dembo, S. Kannan, E. Tas, D. Tse, P. Viswanath, X. Wang, and O. Zeitouni, “Everything is a race and nakamoto always wins,” in ACM CCS 2020, November 2020.
- V. Ramaswami, “A stable recursion for the steady state vector in markov chains of m/g/1 type,” Communications in Statistics. Stochastic Models, vol. 4, no. 1, pp. 183–188, 1988.
- S. Ross, Stochastic processes. John Wiley & Sons, Inc., second ed., 1996.
- “DSN Bitcoin Monitoring.” https://dsn.tm.kit.edu/bitcoin/. Accessed: 2021-07-30.
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