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Lógica matemática/ ACv¬ABCv¬A¬B

Expresión ACv¬ABCv¬A¬B

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    Solución

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