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Sumario Preposiciones - Lógica Matemática
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Proposiciones matemáticas: Oraciones que pueden ser verdad o falso. Se combinan con operadores lógicos (AND, OR, NOT, XOR, condicional, bicondicional) para formar proposiciones compuestas. Se usan en lógica, álgebra booleana, computación y teoría de conjuntos.

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  • March 5, 2024
  • 2
  • 2023/2024
  • Summary

Subjects

  • preposiciones
  • informatica
  • matematica para informatica

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  • Ingenieria
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harrisonrodrguez

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Proposiciones
Se conoce como prosiciones a oraciones, frases o expresiones matemáticas
que pueden ser falsas o verdaderas pero no ambas a la vez.

Proposiciones compuestas

Existen conectores u operadores lógicos que permiten formar proposiocnes
“compuestas”. Se dice que una proposición es compuesta cuando está
formada por dos o más proposiciones simples conectadas por medio de
operadores lógicos.

1. Operador AND (∧) / Conjunción

Se utiliza para conectar dos proposiciones que se deben cumplir para que se
pueda obtener un resultado verdadero.

Se le considera multiplicación lógica.

q r p≡ q∧
r
1 1 1
1 0 0
0 1 0
0 0 0


2. Operador OR (∨) / Disyunción

Se utiliza cuando se obtiene dos resultados falsos, de lo contratrario el
resultado es positivo.

Se considera suma lógica.

q r p ≡ (q v r)
1 1 1
1 0 1
0 1 1
0 0 0


3. Operador NOT (¬)

El operador lógico not tiene la duncion de negar la proposición.

p ¬p
1 0

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