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Lógica matemática/ ¬(a∨b)∨¬(b∧c)

Expresión ¬(a∨b)∨¬(b∧c)

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    Solución

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