Question

For what values of n is the proposition (p1 ∧ p2 ∧ . . . ∧ pn) → (p1 ⊕ p2 ⊕ . . . ⊕ pn) a tautology? Provide an explanation for your answer.

Hint: Recall that ⊕ satisfies associativity and so the order in which you evaluate doesn’t matter! Also try writing down the truth table for (p1 ⊕ p2 ⊕ . . . ⊕ pn) for small values of n and see if you can observe a pattern!

Answer 1

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