Ejercicios de logica resueltos

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EJERCICIOS DE LOGICA MATEMATICA

A ) Usando tablas demostrar:

1 ) ( p’ )’ ( p

|p |p’ |( p’ )’ |
|V |F |V |
|F |V |F |

2 ) p ( p’ ( F

|p |p’ |p ( p’ |
|V |F |F |
|F|V |F |

3 ) p ( p’ ( V

|p |p’ |p ( p’ |
|V |F |V |
|F |V |V |

4 ) p ( V ( V

|p |V |p ( V |
|V |V |V |
|F |V |V|

5 ) p ( V ( p

|p |V |p ( V |
|V |V |V |
|F |V |F |

6 ) p ( F ( p

|p |F |p ( F |
|V |F |V |
|F |F |F |

7 )p ( F ( F

|p |F |p ( F |
|V |F |F |
|F |F |F |

8 ) p ( ( p ( q ) ( p

|p |q |p ( q |p ( ( p ( q ) |
|V |V |V |V |
|V |F |V |V|
|F |V |V |F |
|F |F |F |F |

9 ) p ( ( p ( q ) ( p

|p |q |p ( q |p ( ( p ( q ) |
|V |V |V |V |
|V |F |F |V|
|F |V |F |F |
|F |F |F |F |

10 ) ( p ( q )’ ( p’ ( q’

|p |q |p’ |q’ |p ( q |( p ( q )’ |p’ ( q’ |
|V |V |F |F |V|F |F |
|V |F |F |V |F |V |V |
|F |V |V |F |F |V |V |
|F |F |V |V |F |V|V |

11 ) ( p ( q )’ ( p’ ( q’

|p |q |p’ |q’ |p ( q |( p ( q )’ |p’ ( q’ |
|V |V |F |F |V |F |F |
|V |F |F |V|V |F |F |
|F |V |V |F |V |F |F |
|F |F |V |V |F |V |V |

12 ) ( p ( q ) ( r ( p ( ( q ( r )

|p|q |r |p ( q |q ( r |( p ( q ) ( r |p ( ( q ( r ) |
|V |V |V |V |V |V |V |
|V |V |F |V |F |F |F |
|V...
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