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Lógica matemática/ notc+a->a*notb*c+nota*b+b*c

Expresión notc+a->a*notb*c+nota*b+b*c

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    Solución

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