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Timed Uniform Consensus Protocol Tolerating Crash and Timing Faults

机译:定时一致共识协议容忍崩溃和定时错误

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Δ-timed uniform consensus is a stronger variant of the traditional consensus and it satisfies the following additional property: The correct process terminates its execution within a constant time Δ(Δ-timeliness), and no two processes decide differently (Uniformity). In this paper, we consider the A-timed uniform consensus problem in presence of f{sub}t crash processes and f{sub}c timing-faulty processes. This paper proposes a Δ-timed uniform consensus algorithms. The proposed algorithm is adaptive in the following sense: It solves the Δ-timed uniform consensus when at least f{sub}t + 1 correct processes exist in the system. If the system has less than f{sub}t + 1 correct processes, the algorithm cannot solve the Δ-timed uniform consensus. However, as long as f{sub}t +1 processes are alive, the algorithm solves (non-timed) uniform consensus. We also investigate the maximum number of faulty processes that can be tolerated. We show that any Δ-timed uniform consensus algorithm tolerating up to f{sub}t timing-faulty processes requires that the system has at least f{sub}t + 1 correct processes. This impossibility result implies that the proposed algorithm attains the maximal resilience about the number of faulty processes. We also show that any Δ-timed uniform consensus algorithm tolerating up to f{sub}t timing-faulty processes cannot solve the (non-timed) uniform consensus when the system has less than f{sub}t + 1 non-crashed processes. This impossibility result implies that our algorithm attains the maximum adaptiveness.
机译:Δ定时统一共识是传统共识的更强变体,它满足以下附加属性:正确的过程在恒定的时间Δ(Δ时效性)内终止其执行,并且没有两个过程做出不同的决定(统一性)。在本文中,我们考虑存在f {sub} t崩溃过程和f {sub} c时序错误过程的A定时一致共识问题。本文提出了一种Δ定时统一共识算法。所提出的算法在以下意义上是自适应的:当系统中至少存在f {sub} t + 1个正确过程时,它解决了Δ定时统一共识。如果系统具有少于f {sub} t +1个正确的过程,则该算法将无法求解Δ定时统一共识。但是,只要有f {sub} t +1个进程存在,该算法就可以解决(非定时)统一共识。我们还将调查可容忍的最大错误进程数。我们证明了,任何能够耐受f {sub} t个定时故障过程的Δ定时统一共识算法都要求系统至少具有f {sub} t +1个正确的过程。这种不可能的结果表明,所提出的算法获得了关于故障过程数量的最大弹性。我们还表明,当系统具有少于f {sub} t +1个非崩溃进程时,任何容忍f {sub} t个定时故障过程的Δ定时统一共识算法都无法解决(非定时)一致共识。 。这种不可能的结果暗示我们的算法获得了最大的适应性。

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