Complete operator base logic

Question

Show that $F={0,\to}$ is a complete operator basis by giving equivalent formulas for negation,conjunction and disjunction over F.

Answer 1

I use Polish notation.

Np is equivalent to Cp0.

Kpq is equivalent to NCpNq, which by the above is equivalent to CCpCq00.

Apq is equivalent to CNpq, which by the above is equivalent to CCp0q.