As a general comment, I dislike deliberately obtuse writing in papers. In my current work, I came across a very in-depth survey of our industry (sex work). Excellent study, very helpful. But some of the sentences seemed to over-complicate the math. Example: "Consider the set P {p1, p2, ... pN} representing providers and the set C {c1, c2, ... cN} representing customers". I am pretty sure this kind of stuff is filler or pretends to make things look more rigorous than they are.

On the other hand, maybe spending more than a line explaining what the birthday paradox is should be cut out and put in a backgrounder paper or appendix so that the paper can focus on the actual novel ideas.