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Lógica matemática/ (a∨b∨c)∧(¬a∨b∨c)∧(¬a∨¬b∨c)

Expresión (a∨b∨c)∧(¬a∨b∨c)∧(¬a∨¬b∨c)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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