Provide a derivation for the following entailment PP Q Z SZ
Provide a derivation for the following entailment:
P,(P Q) (Z S),(Z P) W,(W W) (L M), L O, M O, ¬(O P) l- U
Solution
Suppose we have this question,
P Q
P (Q ¬P)
¬P
So, we can do this by below method :
So, By referring the above one we can solve this also.
| 1. P Q | Premise |
| 2. P (Q ¬P) | Premise |
| 3. P | Assumption |
| 4. Q | 1,3 MP |
| 5. Q ¬P | 2,3 MP |
| 6. ¬P | 4,5 MP |
| 7. P & ¬P | 3,6 Conj |
| 8. ¬P | 3-7 IP |
