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Lógica matemática/ АΛBΛĀ

Expresión АΛBΛĀ

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    Solución

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