Problem 1 - Representation in Propositional Logic Represent each of the following sentences in propositional logic. Use reasonable propositions. For example, the proposition spot_is_sleeping_dog is not a good answer for the first question. Since we are using propositional logic and not predicate logic in this question, it is ok to use dogSpot and sleepingSpot here, which in predicate logic would be dog( spot ) and sleeping(spot). i. Spot is a dog who is sleeping. ii. Felix is a cat who is not sleeping. iii. If the TV is on, neither Spot nor Felix are sleeping. iv. One of Spot and Felix is awake. v. Whenever Spot is sleeping Felix isn't and whenever Felix is sleeping Spot isn't