Introduction to Logic

Truth-Tables VI

Please fill in the missing truth-values in each of the following truth tables:

1.
J
K
L
(K L)
J (K L)
 
T
T
T
T
T
T
F
F
F
 
T
T
T
T
T
F
F
T
T
 
F
T
T
T
F
 
F
T
F
F
F
F
T
T
F
 
F
F
F
T
F
 

2.
S
T
U
~S
~U
(T v ~ U)
~S (T v ~ U)  
T
T
F
F
T
T
T
F
F
T
T
T
T
F
T
F
F
F
T
 
T
F
F
F
T
T
T
 
T
T
T
F
T
T
F
T
F
T
T
T
T
 
F
T
T
F
F
F
F
F
F
T
T
T
T
 

3.
A
B
 A B
~(A B)
 
T
T
  F
F
F
T

T
F
T
F
T
F

4.

J
K
L
(K L)
J (K L)
 
T
T
T
T
T
T
F
F
F
   
T
F
T
T
T
 
T
F
T
T
 
F
T
T
T
F
 
T
F
F
F
F
F
T
T
F
 
F
F
F
T
F
 


5.
S
T
U
~S
~U
(T v ~ U)
~S (T v ~ U)  
T
T
T
F
T
T
T
T
F
T
T
T
T
F
T
F
F
F
T
 
T
F
F
F
T
T
T
 
F
T
T
T
F
T
T
 
F
T
F
T
T
T
F
F
T
T
F
F
F
 
F
F
F
T
T
T
T
 

6.
A
B
 A B
~(A B)
 
T
T
  F
T
F
T

F
F
T
F
T
F

7.

J
K
L
(K L)
J (K L)
 
T
T
T
T
T
T
F
F
T
F
T
T
T
F
F
T
T
 
F
T
T
T
F
 
F
T
F
F
F
 
F
F
T
T
F
 
F
F
F
T
F
 

8.
S
T
U
~S
~U
(T v ~ U)
~S (T v ~ U)  
T
T
T
F
F
T
T
 
T
T
F
F
T
T
T
 
T
F
T
F
F
T
T
F
F
F
T
T
T
 
F
T
T
T
T
T
F
T
F
T
T
T
T
 
F
F
T
T
F
F
F
 
F
F
F
T
T
T
T
 

9.
A
B
 A B
~(A B)
 
T
T
  F
T
F
T

F
T
F
T
 
F
F
T
F
 

10.
J
K
L
(K L)
J (K L)
  
T
T
T
T
T
 
T
T
F
F
F
  
T
F
T
T
T
 
T
F
F
T
T
   
F
T
T
T
F
 
F
T
F
F
F
F
T
F
F
F
F
F

11.
S
T
U
~S
~U
(T v ~ U)
~S (T v ~ U)  
T
T
T
F
F
T
T
T
F
F
T
T
T
   
T
F
T
F
F
F
T
 
T
F
F
F
T
T
F
T
T
T
F
T
T
 
F
T
F
T
T
T
T
 
F
F
T
T
F
F
F
F
F
T
T
T
T
 

12.
A
B
 A B
~(A B)
 
T
T
T
  F
 
T
F
F
T

 

F
T
T
F
F
F

13.
J
K
L
(K L)
J (K L)
 
T
T
T
T
T
T
F
F
T
F
T
T
T
F
F
T
F
T
T
T
F
T
F
F
F
 
F
F
T
T
F
 
F
F
F
T
F
 

14.
S
T
U
~S
~U
(T v ~ U)
~S (T v ~ U)  
T
T
T
F
F
T
T
T
F
F
T
T
 
T
F
T
F
F
F
T
 
T
F
F
F
T
T
T
 
F
T
T
T
F
T
T
 
F
T
F
T
T
T
F
F
T
T
F
F
F
F
F
T
T
T
T
 

15.
A
B
 A B
~(A B)
 
T
T
T
 
T
F
F

F
T
F
F
F
T