Alternate Affirmation Necessities

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What does the minimal confirmations required for a deposit imply for the safety of exchanges? For instance, Coinbase requires 3 confirmations for Bitcoin deposits. Suppose an adversary deposits 10 bitcoins into an change and has his account credited.

What stops an adversary from mining a non-public chain with a transaction that conflicts along with his earlier deposit transaction. What would this imply for the change? Would the consumer have the flexibility to promote the Bitcoins credited to his account and defraud the change?



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