Brief History of the Consensus Problem Sample Clauses

Brief History of the Consensus Problem. One of the earliest publications associated directly with the consensus problem was presented in the beginning of the 1980s by Xxxxx et al. on the topic of interactive consis- tency [PSL80]. Shortly thereafter, the same set of authors went on to publish their seminal work on the Byzantine generals problem [LSP82], which is closely related to interactive con- sistency. Both works deal with the question of how a (fixed) group of participants can reach agreement upon a value or set of values, if participants are allowed to deviate arbitrarily from the prescribed protocol. Under the assumption of a relatively strong system model, they were able to show that strictly less than a third of the participants are allowed to exhibit such arbitrary behavior, if the defined properties of the problem specification are to hold. These works played a key role in stepping loose an entirely new field of research, centered around formalizing and characterizing various consensus prob- lems [Fis83]. Another seminal work on the topic of consensus is Xxxxxxx et al. [FLP85], which is referred to as the FLP impossibility result. It shows that deterministic consensus becomes impossi- ble in a completely asynchronous system, even if only a single process is allowed to fail in the crash-stop model and commu- nication between processes is reliable. The FLP impossibility result inspired research on the minimal synchrony assump- tions necessary to be able to reach consensus, leading to the definition of different models of partial synchrony [DDS87], [DLS88]. Instead of strengthening the system model and its as- sumptions, the impossibility result can also be circumvented by relaxing the problem definition, such as only requiring probabilistic guarantees for aspects, such as correctness or termination of the algorithm. In particular, the class of so called randomized consensus algorithms, pioneered by Xxx- Xx [BO83] and Xxxxx [Rab83], has received particular atten- tion. Nevertheless, at the time, the take-away from these results was that systems for reaching consensus in the presence of arbitrary, or so called Byzantine failures, while in principle fea- sible, were largely impractical for real-world scenarios [CL02] due to the overhead incurred in additional communication and computation complexity. It would take over a decade until publications such as “Practical Byzantine Fault Tolerance“ (PBFT) from Xxxxxx and Liskov [CL+99] showed that so called Byzantine fault tolerant (BFT) consens...
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