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Lógica matemática/ (¬av¬b)∧(b∧(avc)va∧c)∧(av(b∧¬c)v(c∧¬b))

Expresión (¬av¬b)∧(b∧(avc)va∧c)∧(av(b∧¬c)v(c∧¬b))

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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