22) ¬qv¬p
p | q | ¬q | ¬p | ¬qv¬p |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 0 | 1 | 1 |
1 | 0 | 1 | 0 | 1 |
1 | 1 | 0 | 0 | 0 |
23) (pàq˄r)↔¬(¬qvr)v¬r
p | q | r | ¬q | ¬r | (pàq) | (pàq˄r) | (¬qvr) | ¬(¬qvr) | ¬(¬qvr)v¬r | (pàq˄r)↔¬(¬qvr)v¬r |
0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 |
0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 |
0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 |
1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |
24) (¬q˄r)à¬(¬qvr)v¬r
q | r | ¬q | (¬q˄r) | (¬qvr) | ¬(¬qvr) | ¬r | ¬(¬qvr)v¬r | (¬q˄r)à¬(¬qvr)v¬r |
0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
25) (pàq)˄rà¬(pvr)v¬r
p | q | (pàq) | r | (pàq)˄r | (p v r) | ¬(pv r) | ¬r | ¬(pvr)v¬r | (pàq)˄rà¬(pvr)v¬r |
0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 |
1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
26) (pàq)˄(qàr)à(p˄¬r)
P | q | r | ¬r | (pàq) | (qàr) | (pàq)˄(qàr) | (p˄¬r) | (pàq)˄(qàr)à(p˄¬r) |
0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 |
0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 |
1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
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