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Lógica matemática/ не((неx^неy)->(xv(z^неt)))

Expresión не((неx^неy)->(xv(z^неt)))

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    ¬(((¬x)∧(¬y))⇒(x∨(z∧(¬t))))
    (¬x∧¬y)⇏(x∨(z∧¬t))\left(\neg x \wedge \neg y\right) \not\Rightarrow \left(x \vee \left(z \wedge \neg t\right)\right)
    Solución detallada
    (¬x∧¬y)⇒(x∨(z∧¬t))=x∨y∨(z∧¬t)\left(\neg x \wedge \neg y\right) \Rightarrow \left(x \vee \left(z \wedge \neg t\right)\right) = x \vee y \vee \left(z \wedge \neg t\right)
    (¬x∧¬y)⇏(x∨(z∧¬t))=¬x∧¬y∧(t∨¬z)\left(\neg x \wedge \neg y\right) \not\Rightarrow \left(x \vee \left(z \wedge \neg t\right)\right) = \neg x \wedge \neg y \wedge \left(t \vee \neg z\right)
    Simplificación [src]
    ¬x∧¬y∧(t∨¬z)\neg x \wedge \neg y \wedge \left(t \vee \neg z\right) 
    (¬x)∧(¬y)∧(t∨(¬z))
    Tabla de verdad 
    +---+---+---+---+--------+
| t | x | y | z | result |
+===+===+===+===+========+
| 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0      |
+---+---+---+---+--------+
    FNDP [src]
    (t∧¬x∧¬y)∨(¬x∧¬y∧¬z)\left(t \wedge \neg x \wedge \neg y\right) \vee \left(\neg x \wedge \neg y \wedge \neg z\right) 
    (t∧(¬x)∧(¬y))∨((¬x)∧(¬y)∧(¬z))
    FND [src]
    (t∧¬x∧¬y)∨(¬x∧¬y∧¬z)\left(t \wedge \neg x \wedge \neg y\right) \vee \left(\neg x \wedge \neg y \wedge \neg z\right) 
    (t∧(¬x)∧(¬y))∨((¬x)∧(¬y)∧(¬z))
    FNCD [src]
    ¬x∧¬y∧(t∨¬z)\neg x \wedge \neg y \wedge \left(t \vee \neg z\right) 
    (¬x)∧(¬y)∧(t∨(¬z))
    FNC [src]
    Ya está reducido a FNC
    ¬x∧¬y∧(t∨¬z)\neg x \wedge \neg y \wedge \left(t \vee \neg z\right) 
    (¬x)∧(¬y)∧(t∨(¬z))
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