So lets say we have channels between (A,B) (B,C) (C,D).
A <------> B <------> C <------> D
And lets say B wants to send their "beads" to D.
How does D know those beads weren't spent already spent with A ??
The introduction of the LN whitepaper talks about how bitcoin is a "gossip" network - that everyone must know about every other transaction. And this is true.
So if D does not have the full history of all transactions, then how does it trust that B didn't spend with A already ??
And lets add the caveat that A,B, and C all want to defraud D.
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