1. [6 marks] Given the following definitions: M: the domain of all people who love watching movies S: the domain of all movie stars H(x): x is happy. Tx,y): person x has talked to movie star y. Determine whether or not the following two predicate logic statements are logically equivalent: Va 6 M,du S, T(x, y) + H (c) Vx M, (EYES,T(x,y) H(2) (1) (2) If the two propositions are logically equivalent, explain why. If they are not logically equivalent, then give an example where their truth values differ, and explain why they differ. 1. [6 marks] Given the following definitions: M: the domain of all people who love watching movies S: the domain of all movie stars H(x): x is happy. Tx,y): person x has talked to movie star y. Determine whether or not the following two predicate logic statements are logically equivalent: Va 6 M,du S, T(x, y) + H (c) Vx M, (EYES,T(x,y) H(2) (1) (2) If the two propositions are logically equivalent, explain why. If they are not logically equivalent, then give an example where their truth values differ, and explain why they differ