What about the cumulative stake rule, how does that combine?
That rule should still work if there are no suspicious chains. With a very small probabitlity, the bootsraping notes will be attacked and become the victim of a fake fork, unless they concern about fork announcements or something like that.
I'm trying to minimize the major defects of PoS including the harm of NaS, theoritically or pratically.
As I've said before:
The main purpose of the study is to make PoS protocol more suitable for the use of cryptocurrency and become the mainstream protocol in the future.
PoS consensus mechanism is the closest protocol to replace the classic proof of work which is, seems to me, dying. I'll be sad if there is no protocol strong enough to do that.