For example when the author says:
P(Q ⊆ X | ∀ x ∈ Q (x = 1))
This is equivalent to P(Q ⊆ X | Q = {1}), which further simplifies to P(1∈X).
This seems to be a type error (isn't X supposed to be a set of binary variables?), and also an awfully cumbersome way to write P(1∈X).
Anyone have some idea what the article is trying to say?
esafak•2h ago
js8•2h ago
I agree that DS is computationally prohibitive, but another way out (aside from probability, which I don't like either) is with various systems of fuzzy logic (or you can just go with the most expressive one under the lovely name \L\Pi 1/2).
(BTW I am also exploring approach to uncertainty based on untyped lambda calculus, where each term is interpreted as a kind of "model of the world". Uncertainty degree is given by whether the term has a normal form or not. If it has not, then it is certain, while if it has a normal form, it means that additional assumptions/arguments need to be supplied to specify the model further.)
usgroup•2h ago
In the worst case scenario there are efficient approximation methods which can be used.