I. For the following derivations, state which rules were used to
derive each line, and which lines they were derived from.
A. Derive S from
1. P v Q Premiss
2. P -> S Premiss
3. Q -> T Premiss
4. ~T Premiss
5. ~Q
6. P
7. S
B. Derive (~Q v ~T) from
1. P Premiss
2. P -> (~Z v ~F) Premiss
3. Q -> Z Premiss
4. G -> F Premiss
5. T -> G Premiss
6. ~Z v ~F
7. T -> F
8. (Q -> Z) & (T -> F)
9. ~Q v ~T
II. Write formal derivations for the following arguments:
A. Derive P from
1. P v Q Premiss
2. Q -> R Premiss
3. ~R & S Premiss
B. Derive (Q v S) from
1. P -> R Premiss
2. R -> Q Premiss
3. P v T Premiss
4. (P v T) -> (T -> S) Premiss