We research the probability change of successful double spend attack on Proof-of-Work consensus protocol depending on network parameters in the model with continuous time. We analyze influence of block generation rate in networks with delayed message delivery on probability of double spend attack success, and provide strict analytical expressions for network security threshold and for the upper bound of block generation rate.

中文翻译：

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降低同步速度较慢的网络中针对双重支出攻击的安全阈值

我们根据连续时间模型中的网络参数，研究对工作量证明共识协议成功进行双花攻击的概率变化。我们分析了具有延迟消息传递的网络中块生成速率对双花攻击成功率的影响，并为网络安全阈值和块生成速率的上限提供了严格的解析表达式。