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What is asynchronous byzantine fault tolerance?

Hashgraph is asynchronous Byzantine Fault Tolerant (ABFT) - the highest degree of security a consensus algorithm can provide. ABFT means that a) finality of consensus will be reached with probability 1, if b) attackers control less than 1/3 of the participants and c) we assume only that messages from an honest node will eventually get through, but make no assumptions about how long that takes. Specifically, the attacker must control less than 1/3 of the stake in a proof-of-stake system, or less than 1/3 of the nodes in a system without proof-of-stake. The attacker can control the entire communication network in the sense that the attacker can delete messages, or delay messages for arbitrary amounts of time, with the only limitation being that if honest node Alice repeatedly tries to send messages to honest node Bob, eventually one will get through. The system is resilient to attacks on both network nodes and the communication network itself, as long as both types of attacks are within the limits above. Finality of consensus can be contrasted with the probabilistic confidence of proof-of-work systems, where there is always a chance (even if small) of a transaction being retroactively rolled back.

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