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Can we say that Proof-of-work is a type of Byzantine fault tolerance (BFT) ? In other words, is PoW a subset of BFT ? Or they are two different categories?

Please note that there is a similar question here (Can Proof of Work be Considered as a Byzantine Fault Tolerance (BFT) consensus algorithm since it addresses the Byzantine Generals Problem as well?) but without any answer.

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Byzantine Fault Tolerance

Byzantine Fault Tolerance is the characteristic which defines a system that tolerates the class of failures that belong to the Byzantine Generals’ Problem.

Proof Of Work

The big breakthrough when Bitcoin was invented, was the use of Proof-of-Work as a probabilistic solution to the Byzantine Generals Problem as described in depth by Satoshi Nakamoto in this e-mail.

Refer the following post for more details:

https://medium.com/loom-network/understanding-blockchain-fundamentals-part-1-byzantine-fault-tolerance-245f46fe8419

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