7) ¬¬(¬p ˄¬q)v(p ˄¬q)
p | q | ¬p | ¬q | (¬p˄¬q) | (p˄¬q) | (¬p˄¬q)v(p˄¬q) | ¬(¬p˄¬q)v(p˄¬q) | ¬¬(¬p ˄¬q)v(p ˄¬q) |
0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 |
0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
8) P v q ˄r
p | q | P v q | r | P vq˄r |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 0 |
1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 0 | 0 |
1 | 1 | 1 | 1 | 1 |
9) ¬(¬p˄¬q)˄(¬p˄¬q)
p | q | ¬p | ¬q | (¬p˄¬q) | ¬(¬p˄¬q) | ¬(¬p˄¬q)˄(¬p˄¬q) |
0 | 0 | 1 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 0 | 0 | 1 | 0 |
1 | 0 | 0 | 1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 | 0 | 1 | 0 |
10) P v q ˄ ¬r
p | q | r | P v q | ¬r | Pvq˄¬r |
0 | 0 | 0 | 0 | 1 | 0 |
0 | 0 | 1 | 0 | 0 | 0 |
0 | 1 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 1 | 1 |
1 | 0 | 1 | 1 | 0 | 0 |
1 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 0 | 0 |
11) P ˄ qàr
p | q | P˄q | r | P˄qàr |
0 | 0 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 1 |
1 | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 0 | 0 |
1 | 1 | 1 | 1 | 1 |
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