Part II: Proving logical equivalence using laws of propositional logic (50 pt.) 4. (30 pt.) Use the laws of propositional logic to prove that the following compound propositions are logically equivalent. a. (5 pt.) (p V)-(p A -and q b. (5 pt.)-p (qv r) and (q p) ^ (r p) c. (10 pt.)-Gov (q^ (-p -r))) and-p (q d. (10 pt.) p ++ (p q) and-pv q r)