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Consider the following arguments. If an argument is valid, then present a proof sequence; otherwise, prove that the argument is invalid. You are forbidden to

Consider the following arguments. If an argument is valid, then present a proof sequence; otherwise, prove that the argument is invalid. You are forbidden to use truth tables to justify your answers (but, you may use them otherwise).

((p r) (q r)) ((p q) r)

((q r) (p (q r))) (p r)

((p (q r)) (s r) (s t)) (t p)

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