Truth Tables
Exercise
Answers
- Invalid
- Valid
- Invalid
- Valid
| A |
B |
C |
(A v B) · (A v C)
|
~A
|
B v C
|
| T |
T |
T |
T T T
|
F |
T |
| T |
T |
F |
T T T
|
F |
T |
| T |
F |
T |
T T T |
F |
T |
| T |
F |
F |
T T T |
F |
F |
| F |
T |
T |
T T T |
T |
T |
| F |
T |
F |
T F F |
T |
T |
| F |
F |
T |
F F T |
T |
T |
| F |
F |
F |
F F F |
T |
F |
- Invalid
| R |
T |
S |
R · (T v S)
|
T
|
~S
|
| T |
T |
T |
T T
|
T |
F |
| T |
T |
F |
T T
|
T |
T |
| T |
F |
T |
T T
|
F |
F |
| T |
F |
F |
F F
|
F |
T |
| F |
T |
T |
F T
|
T |
F |
| F |
T |
F |
F T
|
T |
T |
| F |
F |
T |
F T |
F |
F |
| F |
F |
F |
F F |
F |
T |
- Invalid
- Valid
- Valid
| A |
B |
~(A v B)
|
~A v ~B
|
| T |
T |
F T
|
F F F
|
| T |
F |
F T
|
F T T |
| F |
T |
F T
|
T T F
|
| F |
F |
T F
|
T T T
|
- Valid
| D |
R |
S |
(R v S) · ~ D
|
~ R
|
S · ~ D
|
| T |
T |
T |
T F F
|
F |
F |
| T |
T |
F |
T F F
|
F |
F |
| T |
F |
T |
T F F
|
T |
F |
| T |
F |
F |
F F F
|
T |
F |
| F |
T |
T |
T T T
|
F |
T |
| F |
T |
F |
T T T
|
F |
F |
| F |
F |
T |
T T T |
T |
T |
| F |
F |
F |
F F T
|
F |
F |