Causal - one thing causing another. Initial conditions cause final conditions.
I think you need to learn what superposition in QM is. Its got nothing to do, except perhaps very indirectly, with causality or determinism, it simply expresses the vector space structure of pure states.
That's not what a formula is nor is it how math works, or rather it would be a very unusual view of logic - most would not classify consequences from the rules of logic as constraints. You might like to become acquainted with, for example, Topos theory.
Thanks
Bill