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Lógica matemática/ xyVy¬zV¬yz

Expresión xyVy¬zV¬yz

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    (x∧y)∨(y∧(¬z))∨(z∧(¬y))
    (x∧y)∨(y∧¬z)∨(z∧¬y)\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)
    Simplificación [src]
    (x∧y)∨(y∧¬z)∨(z∧¬y)\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right) 
    (x∧y)∨(y∧(¬z))∨(z∧(¬y))
    Tabla de verdad 
    +---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 1      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 0      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNC [src]
    (y∨z)∧(y∨¬y)∧(x∨y∨z)∧(x∨y∨¬y)∧(x∨z∨¬z)∧(x∨¬y∨¬z)∧(y∨z∨¬z)∧(y∨¬y∨¬z)\left(y \vee z\right) \wedge \left(y \vee \neg y\right) \wedge \left(x \vee y \vee z\right) \wedge \left(x \vee y \vee \neg y\right) \wedge \left(x \vee z \vee \neg z\right) \wedge \left(x \vee \neg y \vee \neg z\right) \wedge \left(y \vee z \vee \neg z\right) \wedge \left(y \vee \neg y \vee \neg z\right) 
    (y∨z)∧(y∨(¬y))∧(x∨y∨z)∧(x∨y∨(¬y))∧(x∨z∨(¬z))∧(y∨z∨(¬z))∧(x∨(¬y)∨(¬z))∧(y∨(¬y)∨(¬z))
    FNCD [src]
    (y∨z)∧(x∨¬y∨¬z)\left(y \vee z\right) \wedge \left(x \vee \neg y \vee \neg z\right) 
    (y∨z)∧(x∨(¬y)∨(¬z))
    FNDP [src]
    (x∧y)∨(y∧¬z)∨(z∧¬y)\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right) 
    (x∧y)∨(y∧(¬z))∨(z∧(¬y))
    FND [src]
    Ya está reducido a FND
    (x∧y)∨(y∧¬z)∨(z∧¬y)\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right) 
    (x∧y)∨(y∧(¬z))∨(z∧(¬y))
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