Just question B:
Exercise 8.5.2: Proving generalized laws by induction for logical expressions. Prove each of...
Exercise 8.5.2: Proving generalized laws by induction for logical expressions. Prove each of the following statements using mathematical induction. (a) Prove the following generalized version of DeMorgan's law for logical expressions: For any integer n 22, +(21 A 22A...Axn) = -01 V-32V... Un You can use DeMorgan's law for two variables in your proof: -(21 A32) = -21 V-22 (b) Prove the following generalization of the Distributive law for logical expressions. For any integer n 22 y V(1A 22A... Adn) = (y V21) A(Y V 32)A...Ay VXn) You can use the Distributive law for two variables in your proof. y V (21 A 22) = (y V 21) A(YV 12)