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Lógica matemática/ not(not(borc)ora)

Expresión not(not(borc)ora)

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    Solución

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