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Lógica matemática/ c∧a∧¬b∨a∧¬b∧(¬a∨b)∨a∧c

Expresión c∧a∧¬b∨a∧¬b∧(¬a∨b)∨a∧c

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    Solución

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