12) p˄qà¬r
p | q | r | P˄q | ¬r | p˄qà¬r |
0 | 0 | 0 | 0 | 1 | 1 |
0 | 0 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 1 |
1 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 0 | 0 |
13) p↔¬p
p | ¬p | P↔¬p |
0 | 1 | 0 |
1 | 0 | 0 |
14) ¬(p˄¬q)˄(p˄¬q)
p | q | ¬q | (p˄¬q) | ¬(p˄¬q) | ¬(p˄¬q)˄(p˄¬q) |
0 | 0 | 1 | 0 | 1 | 0 |
0 | 1 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 1 | 0 | 0 |
1 | 1 | 0 | 0 | 1 | 0 |
15) ¬¬p v¬¬q
p | q | ¬p | ¬q | ¬¬p | ¬¬q | ¬¬pv¬¬q |
0 | 0 | 1 | 1 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 0 | 1 | 1 |
1 | 0 | 0 | 1 | 1 | 0 | 1 |
1 | 1 | 0 | 0 | 1 | 1 | 1 |
16) P v q
p | q | Pvq |
0 | 0 | 0 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 1 |
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