5. We will define a new operator Ao as follows. A state s satisfies A(41 0 42) if and only if for all paths starting from s at least one of the following holds there exists a state where 42 is satisfied and before that 41 holds in all states in the path all states in the path satisfy 41 and not 42 Prove or disprove that (a) A(p o false) can be expressed in CTL. (b) A(false o p) can be expressed in CTL. 5. We will define a new operator Ao as follows. A state s satisfies A(41 0 42) if and only if for all paths starting from s at least one of the following holds there exists a state where 42 is satisfied and before that 41 holds in all states in the path all states in the path satisfy 41 and not 42 Prove or disprove that (a) A(p o false) can be expressed in CTL. (b) A(false o p) can be expressed in CTL