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							Fri  9 Aug, 2013 04:35 pm
						
						
					
					
					
						I need some help with the following two predicate logic problems:
Complete the following predicate logic proof (2 points):
1. x (Px  → Rx)                      Given
2. x (Rx  → Sx)                      Given
3. x (Tx  ↔  Sx)                     Given
4. ~xTx                                   Given.
5. SHOW: ~xPx 
Complete the following predicate logic proof. 
x (Ax    Bx)
~x (Cx    Bx)
SHOW: x (Cx  & ~Ax)
You can use the predicate-logic version of any propositional logic rule.
Some special predicate logic rules you might want to use: 
Quantifier Obversion, Quantifier Instantiation and Generalization.