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Lógica matemática/ BvA&C&D&¬(AvB)

Expresión BvA&C&D&¬(AvB)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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