Answer the following questions: (a) Show that the following is atautology by using truth table and using list of equivalences.(This problem should be solved using 2 different methods mentionedabove). ((¬p ?? q) ? (¬p ?? ¬q)) ?? p (b) Show that the compoundpropositions are logically equivalent, by using truth table andusing list of equivalences. ¬p ? (r ?? ¬q) and (¬p ? ¬q) ? ¬r (c)Show that the propositions ¬p ? (¬r ? q) and r ?? (p ?? q) arelogically equivalent using the method of your choice.
