Sr Examen
Expresión ABCvAB¬CvA¬BCg¬ABCv¬AB¬C
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(a∧b∧c)∨(a∧b∧(¬c))∨(b∧(¬a)∧(¬c))∨(a∧b∧c∧g∧(¬a)∧(¬b))
$$\left(a \wedge b \wedge c\right) \vee \left(a \wedge b \wedge \neg c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge g \wedge \neg a \wedge \neg b\right)$$
Solución detallada
$$a \wedge b \wedge c \wedge g \wedge \neg a \wedge \neg b = \text{False}$$
$$\left(a \wedge b \wedge c\right) \vee \left(a \wedge b \wedge \neg c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge g \wedge \neg a \wedge \neg b\right) = b \wedge \left(a \vee \neg c\right)$$
$$\left(a \wedge b \wedge c\right) \vee \left(a \wedge b \wedge \neg c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge g \wedge \neg a \wedge \neg b\right) = b \wedge \left(a \vee \neg c\right)$$
Tabla de verdad
+---+---+---+---+--------+ | a | b | c | g | result | +===+===+===+===+========+ | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+--------+ | 0 | 0 | 0 | 1 | 0 | +---+---+---+---+--------+ | 0 | 0 | 1 | 0 | 0 | +---+---+---+---+--------+ | 0 | 0 | 1 | 1 | 0 | +---+---+---+---+--------+ | 0 | 1 | 0 | 0 | 1 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 0 | +---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 0 | +---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 0 | +---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 0 | +---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+