The way I’m defining it, my shared state is the data we store in a crdt. And CRDTs have strong eventual consistency. That’s what makes them great. So we can have a data structure which shows all users an identical view of the world.

Normally we do that by storing something totally different under the hood. Eg, git actually stores a commit graph. But the system makes a determinism guarantee: we promise that all users who have the same version checked out will see exactly the same thing. At one level, we’re storing “a list of facts” (the commit graph). But at another level of abstraction, we’re just storing application data. It’s just also replicated between many peers. And editable locally without network access.

> So we can have a data structure which shows all users an identical view of the world.

This is never true. You can prove that at some time now()-T where T > 0 you had the same view of the universe, but you cannot prove that you currently have the exact same view because even with the attempt of checking, T becomes greater than 0. Sometimes, this doesn't matter (T can be arbitrarily large and still effectively be zero -- like asking your friend if he is still married to that person. They can answer you days later, and it'll still be true), but sometimes even very small values of T cannot be assumed to be zero.