The concept of distributed consensus gained widespread attention following the publication of "Byzantine Generals Problem" by Leslie Lamport in the 1980s. This research topic has been active and extensively studied over the last four decades, particularly since the advent of blockchain technology in 2009. Blockchain technology employs Proof-of-X (PoX) or Byzantine-fault-tolerant (BFT) systems, where all participants follow a protocol to achieve a common state (i.e., consistency) eventually. However, because PoX consensus such as Proof-of-Work is is resource-intensive with high power consumption, most permissioned blockchains employ BFT to achieve consistency. In this article, we provide an introduction to the fundamental principles and history of distributed consensus. We then explore the well-known fault-tolerant state machine replication (SMR) in partially synchronous networks, as well as consensus protocols in asynchronous models and recently proposed DAG-based consensus. Additionally, we examine the relationship between BFT consensus and blockchain technology and discuss the following questions: What is the history and evolution of BFT? Why are BFT protocols designed in the way they are and what core components do they use? What is the connection between BFT and blockchain technology, and what are the driving needs for future BFT research?

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