So there is impact, even if small. Just trying to guage the severity.

If part of the validation process is to index over side-chains, then it becomes unacceptable IMO.

If validation stays 100% on the Bitcoin blockchain, and increases validation complexity (and time) with a small and predictable amount, OK.

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They don't have to know what's going on on the sidechain, the impact is similar to verify a proof of work, just make sure that during the N last blocks, most miners accepted the transaction.

But that's what creates most of the ongoing debates, are the incentives correctly aligned to trust most miners?