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I. Usar tabelas de verdade para caracterizar as seguintes formas de enunciado como TAUTOLÓGICAS , CONTRADITÓRIAS ou CONTIN...
contingente tautológica
7) * p ↄ ( q ↄ r) + ↄ * ( p ↄ q) ↄ ( p ↄ r ) +
p q r ( q ↄ r) ( p ↄ q) ( p ↄ r )
V V V V V V
V V F...
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Exercicios de lógica para o dia 22112010 parte ll

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Exercicios de lógica para o dia 22112010 parte ll

  1. 1. I. Usar tabelas de verdade para caracterizar as seguintes formas de enunciado como TAUTOLÓGICAS , CONTRADITÓRIAS ou CONTINGENTES : V ↄ ≡ V V V V V V V F V F F F F V V F V F F F F F V V 1) p q (p ↄ q) *p ↄ ( p ↄ q)+ *p ↄ ( p ↄ q)+ ↄ q V V V V V V F F F V F V V V V F F V V F 2) p q ( p ↄ q) * ( p ↄ q) ↄ q+ p ↄ * ( p ↄ q) ↄ q+ V V V V V F F V F V V V F F V F tautológica 3) p q ~q (p ↄ ~q ) (p . q) (p . q) . (p ↄ ~q ) V V F F V V F V V F F V F V F F F V V F contraditória 4) p ↄ * ~ p ↄ ( q v ~q) + p q ~p ~q ( q v ~q) * ~ p ↄ ( q v ~q) + V V F F V F F V F V V F F F V V 5) p ↄ * p ↄ ( q . ~q ) + p q ~q ( q . ~q ) * p ↄ ( q . ~q ) + p ↄ * p ↄ ( q . ~q ) + V V F F F V F V F F F V F V V F F V V V contingente contraditória 6) p q ~q (p ↄ p) (q . ~q ) (p ↄ p) ↄ (q . ~q ) V V F V F V F V F F F V *p ↄ ( p ↄ q)+ ↄ q p ↄ * ( p ↄ q) ↄ q+ (p . q) . (p ↄ ~q ) p ↄ * ~ p ↄ ( q v ~q) + V V F V V Exercicios (p ↄ p) ↄ (q . ~q ) F FV F contingente contingente tautológica contingente contingente contingente
  2. 2. contingente tautológica 7) * p ↄ ( q ↄ r) + ↄ * ( p ↄ q) ↄ ( p ↄ r ) + p q r ( q ↄ r) ( p ↄ q) ( p ↄ r ) V V V V V V V V F F V F V F V V F V V F F V F F F V V V V V F V F F V V F F V V V V F F F V V V 8) * p ↄ (q ↄ p ) + ↄ * ( q ↄ q ) ↄ ~ ( r ↄ r ) + p q r (q ↄ p ) ( q ↄ q ) ( r ↄ r ) ~ ( r ↄ r ) V V V V V V F V V F V V V F F V F V V F F V F F F F V V F F F V contingente 9) P Q R S ( p ↄ q ) ( r ↄ s ) ( q v s ) ( p v r ) V V V V V V V V V V V F V F V V V V F V V V V V V V F F V V V V V F V V F V V V V F V F F F F V V F F V F V V V V F F F F V F V F V V V V V V V F V V F V F V V F V F V V V V V F V F F V V V F F V V V V V V V F V V F V F V V F V F V V V V F F V F F V V V F 10) , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - ↄ ( p v r ) P Q R S ( p ↄ q ) ( r ↄ s ) ( q v s ) ( p v r ) V V V V V V V V V V V F V F V V V V F V V V V V V V F F V V V V V F V V F V V V V F V F F F F V V F F V F V V V V F F F F V F V F V V V V V V V F V V F V F V V F V F V V V V V F V F F V V V F F V V V V V V V F V V F V F V V F V F V V V V F F V F F V V V F V V F F contingente V V V V V F V F V V V V V V V V F F V F V V V F V V V F V V F F F F V F V V V F V V F F F F contingente * ( p ↄ q ) . ( r ↄ s ) + , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - ↄ ( p v r ) V V V F V V V V V V V V V V V V V F V V V F V F V V F F tautológica contraditória , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - ↄ ( p v r ) * ( p ↄ q ) . ( r ↄ s ) + , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - , * ( p ↄ q ) . ( r ↄ s ) + . ( q v s ) - ↄ ( p v r ) V V F V F F tautológica F F V F V V * p ↄ (q ↄ p ) + ↄ * ( q ↄ q ) ↄ ~ ( r ↄ r ) + V F V V V F V V * p ↄ ( q ↄ r) + * p ↄ ( q ↄ r) + ↄ * ( p ↄ q) ↄ ( p ↄ r ) +* ( p ↄ q) ↄ ( p ↄ r ) + V F V V F V F V V V V V V V V V V * p ↄ (q ↄ p ) + * ( q ↄ q ) ↄ ~ ( r ↄ r ) + F F F tautológicacontingente contraditória F

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