Take p.q & q. When you write p.q in the a–b notation, it is impossible to see from the symbol alone that q follows from it; for if you were to || interpret the true-pole as the false, the same symbol would stand for p ⌵ q, from which q doesn't follow. But the moment you say which symbols are tautologies, it at once becomes possible to see from the fact, that they are & the original symbol that q does follow.