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Lógica matemática/ avbv((avc)^(avb))

Expresión avbv((avc)^(avb))

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    Solución

    Ha introducido [src] 
    a∨b∨((a∨b)∧(a∨c))
    a∨b∨((a∨b)∧(a∨c))a \vee b \vee \left(\left(a \vee b\right) \wedge \left(a \vee c\right)\right)
    Solución detallada
    (a∨b)∧(a∨c)=a∨(b∧c)\left(a \vee b\right) \wedge \left(a \vee c\right) = a \vee \left(b \wedge c\right)
    a∨b∨((a∨b)∧(a∨c))=a∨ba \vee b \vee \left(\left(a \vee b\right) \wedge \left(a \vee c\right)\right) = a \vee b
    Simplificación [src]
    a∨ba \vee b 
    a∨b
    Tabla de verdad 
    +---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNDP [src]
    a∨ba \vee b 
    a∨b
    FNCD [src]
    a∨ba \vee b 
    a∨b
    FNC [src]
    Ya está reducido a FNC
    a∨ba \vee b 
    a∨b
    FND [src]
    Ya está reducido a FND
    a∨ba \vee b 
    a∨b
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