Sistema de boole

A partir de las siguientes proposiciones:
p | q | r |
V | V | V |
V | V | F |
V | F | V |
V | F | F |
F | V | V |
F | V | F |
F | F | V |
F | F | F |

Construye lascorrespondientes tablas de verdad para las siguientes expresiones (desarrollar como los ejercicios vistos en clase):
a) P ( q r q )
p | q | r | q | r q | q r q | P ( q r q ) |
V | V | V | F | V| F | F |
V | V | F | F | V | F | F |
V | F | V | V | V | V | V |
V | F | F | V | F | F | F |
F | V | V | F | V | F | V |
F | V | F | F | V | F | V |
F | F | V | V | V | V | V |
F | F| F | V | F | F | v |

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

c) ( (p q) (p q) ((p r) q) )
p | q | r | r | p r | (p r) | (p r) q) | ((p r) q) ) | p |(p q) | q | p q | (p q) (p q) | (p q) (p q) ((p r) q) | ( (p q) (p q) ((p r) q) ) |
V | V | V | F | V | F | F | V | F | V | F | F | F | F | V |
V | V | F | V | V | F | F | V | F |V | F | F | F | F | V |
V | F | V | F | V | F | F | V | F | F | V | V | F | F | V |
V | F | F | V | V | F | F | V | F | F | V | V | F | F | V |
F | V | V | F | F | V | V | F | V | V | F | F | F| F | V |
F | V | F | V | V | F | F | V | V | V | F | F | F | F | V |
F | F | V | F | F | V | F | V | V | V | V | F | F | F | V |
F | F | F | V | V | F | F | V | V | V | V | F | F | F | V |d) (p q ) (p q)
p | q | p | q | p q | p q | (p q ) (p q) |
V | V | f | f | v | v | v |
V | V | f | f | v | v | v |
V | F | f | v | f | v | f |
V | F | f | v | f | v | f |
F | V| v | f | v | v | v |
F | V | v | f | v | v | v |
F | F | v | v | v | v | v |
F | F | v | v | v | v | v |

a) P q (p q r) p q r
p | q | r | p | q | (p q r) | P q (p q r) |...