Can you help me understand how one might use a SAT solver to find ways in which cryptographic primitives (or their components) deviate from ideal pseudorandomne

Can you help me understand how one might use a SAT solver to find ways in which cryptographic primitives (or their components) deviate from ideal pseudorandomness? I know what all of these things are, my intuition just isn't jumping to a way to formulate statistical correlations as a SAT problem.