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Problem statement: In peer-to-peer networks, Byzantine fault tolerance refers to the capability of a system to tolerate Byzantine faults. It can be achieved by replicating the server and by ensuring all server replicas reach an agreement on the input despite Byzantine faulty replicas and clients. Since malicious attacks and software errors can cause faulty nodes to exhibit Byzantine behavior, Byzantine-fault-tolerant algorithms are increasingly important. Approach: In the study, we wish todoi:10.3844/jcssp.2011.159.166 fatcat:vfb342jbnnczjaqewupeciqks4