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But, if you don't have proofs that match the amount, you would need to go online and swap for the needed proofs at the mint.
This also applies to offline receives.
The sender needs to not only know the recipient in advance, but also what denominations they will use. The recipient can’t give you change back.
Still useful, but that’s another important limitation.
For the case of vending machines that's fine. The problem to solve is that the machine can operate without internet, not the customer. So as a customer you can easily get the exact denomination and sign it for the machine online and then the machine does not need internet to verify it.
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