12. Given the truth table for an arbitrary n-ary function f(p, .., Pn) (from n atomic propositions pi,.., Pn to fT, F]), describe how one can build a proposition, using only P1,.., Pn and the connectives A, v, and -, that has the same truth table as f. (Hint: first consider each line of the truth table separately, and then how to combine them.) 12. Given the truth table for an arbitrary n-ary function f(p, .., Pn) (from n atomic propositions pi,.., Pn to fT, F]), describe how one can build a proposition, using only P1,.., Pn and the connectives A, v, and -, that has the same truth table as f. (Hint: first consider each line of the truth table separately, and then how to combine them.)