2. Using the method of full or partial truth tables, say whether the following sentences of L1 are tautologies or not. If not, give a counterexample. (a) ¬(P → Q) → (P → ¬P) (b) (PAQ→ R) → (P → ¬Q V R) (c) (P → (Q → R)) → ((P → Q) → R)

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What is a counterexample for A and C?

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2. Using the method of full or partial truth tables, say whether the following sentences of L1 are tautologies or not. If not, give a counterexample. (a) ¬(P → Q) → (P → ¬P) (b) (PAQ→ R) → (P → ¬Q V R) (c) (P → (Q → R)) → ((P → Q) → R)

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