Question: Please help (a) You are on a spaceship filled with crewmates and imposters. Imposters will always lie, and crewmates will always tell the truth. The

Please help

(a) You are on a spaceship filled with crewmates and imposters. Imposters will always lie, and crewmates will always tell the truth. The following statements are made: . Red says: Either myself and Blue are both crew, or we are both imposters. . Orange says: At least one of Red and Green is an imposter. . Green says: Red is an imposter. . Blue says: Red is an imposter. (i) Formulate this as a problem in propositional logic, defining the proposi- tional variables and what they represent; any formulas that are relevant; and the logical problem you are solving. (6 marks) (ii) Use your answer from (i) to determine what possible combinations of crew- mate/imposters there are that are consistent with this system. (6 marks)

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