Question: a. Prove that modus ponens is sound for propositional calculus. Hint: use truth tables to enumerate all possible interpretations. b. Abduction is an inference rule

a. Prove that modus ponens is sound for propositional calculus. Hint: use truth tables to enumerate all possible interpretations.

b. Abduction is an inference rule that infers P from P→Q and Q. Show that abduction is not sound (see Chapter 7).

c. Show modus tollens ((P→Q) ∧ ¬ Q) →¬ P is sound.

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