Good morning Bastien,


> * it's impossible for a node to prove that it did *not* receive a message: 
> you can prove knowledge,
>   but proving lack of knowledge is much harder (impossible?)

Yes, it is impossible.

If there could exist a proof-of-lack-of-knowledge, then even if I personally 
knew some fact, I could simply run a virtual machine that knows everything I 
know *except* for that piece of knowledge, and generate the 
proof-of-lack-of-knowledge there.
This leads to a contradiction, as I myself *actually* know the fact, but I can 
present the proof-of-lack-of-knowledge by pretending to be somebody ignorant.

Regards,
ZmnSCPxj (I definitely do not know that I am an AI)
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