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EJERCICIOS

1.- P P |
0 |
1 |
|   |
  |   |
  |   |
2.- (P)
(P) |
0 |
1 |

3. -(P v ¬Q)
P | Q | ¬Q | (P v ¬Q) |
0 | 0 | 1 | 1 |
0 | 1 |0 | 0 |
1 | 0 | 1 | 1 |
1 | 1 | 0 | 1 |

4.- P v ¬Q
P | Q | ¬Q | P v ¬Q |
0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 |
1 | 0 | 1 | 1 |
v1 | 1 | 0 | 1 |

5.- ¬(Pv P)
P | (P v P) | ¬(P v P) |
0 | 0 | 1 |
1 | 1 | 0 |

6. -[(P→Q) v (Q→P)]
P | Q | (P→Q) | (Q→P) | [(P→Q) v (Q→P)] |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 0| 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 1 | 1 |

7.- (PᴧvQ)
P | Q | (PᴧvQ) |
0 | 0 | 0 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 1 |

8. -(P→Q) v (Q→P)
P |Q | (P→Q) | (Q→P) | (P→Q) v (Q→P) |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 0 | 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 1 | 1 |

9.- (P→Q) ᴧ ¬(P→Q)
P | Q | (P→Q) |¬(P→Q) | (P→Q) ᴧ ¬(P→Q) |
0 | 0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 0 |

10.- P→Q
P | Q | P→Q |
0 | 0 | 1 |
0 | 1 | 1 |1 | 0 | 0 |
1 | 1 | 1 |

11. -P v ¬P
P | ¬P | P v ¬P |
0 | 1 | 1 |
1 | 0 | 1 |

12.- P ᴧ ¬P
P | ¬P | P ᴧ ¬P |
0 | 1 | 0 |
1 | 0 | 0 |

13.-(P→Q) v (Q→P)
P | Q | (P→Q) | (Q→P) | (P→Q) v (Q→P) |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 0 | 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 1 | 1 |

14.- (P↔Q) v (Q↔P)
P |Q | (P↔Q) | (Q↔P) | (P↔Q) v (Q↔P) |
| | | | |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 1 |

P or Not Q |   |  |   |   |
Not P or P |   |   |
  |   |   |
If P then Q or If Q then P |
  |   |   |
If P then Q and Not If P then Q |
  |   |   |
P or Not P |   |