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Lógica matemática/ avy&¬(xvy)

Expresión avy&¬(xvy)

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    Solución

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