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Lógica matemática/ AvA&(CvB)&(AvB)vB&C

Expresión AvA&(CvB)&(AvB)vB&C

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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