Question: 2) Answer full question (a-e) , correctly showing detailed work for thumbs up. If unable to answer allow others to get credit. For each of

2) Answer full question (a-e), correctly showing detailed work for thumbs up. If unable to answer allow others to get credit.

For each of the following formulas, state briefly if it is a correct representation in propositional calculus of the sentence "If the dog sleeps and the house is warm, then the night is quiet." or not and explain why. The propositions used in the sentences should have an obvious interpretation.

a. DogSleeps HouseWarm NightQuiet

b. (DogSleeps HouseWarm) NightQuiet

c. (DogSleeps HouseWarm) NightQuiet

d. NightQuiet (DogSleeps HouseWarm)

e. DogSleeps ( NightQuiet HouseWarm)

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