In: Statistics and Probability
1. Show that the following wff is a contingency. (A → B) ∧ (B → ¬A) → A.
2. Show that the following wff is a tautology. (A → (B → C)) → ((A → B) → (A → C)).
3. Determine if the following wff is a tautology, contradiction, or a contingency. (A ∨ B) → (C ∨ A) ∧ (¬C ∨ B).
4. Write down the full DNF or full CNF of the following wff (P → ¬Q) → P ∨ R.
5. Write down the full DNF or full CNF of the following wff (¬P → P ∧ R) → (P → Q).