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Lógica matemática/ (avbvc)&(avbv¬c)&(av¬bvc)&(av¬bv¬c)&(¬avbvc)

Expresión (avbvc)&(avbv¬c)&(av¬bvc)&(av¬bv¬c)&(¬avbvc)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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