Sr Examen
Expresión AV(A|B)|¬(AVB)|B
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
(a∨(a|b))|(¬(a∨b))|b
$$\left(a \vee \left(a | b\right)\right) | \neg \left(a \vee b\right) | b$$
Solución detallada
$$a | b = \neg a \vee \neg b$$
$$a \vee \left(a | b\right) = 1$$
$$\neg \left(a \vee b\right) = \neg a \wedge \neg b$$
$$\left(a \vee \left(a | b\right)\right) | \neg \left(a \vee b\right) | b = 1$$
$$a \vee \left(a | b\right) = 1$$
$$\neg \left(a \vee b\right) = \neg a \wedge \neg b$$
$$\left(a \vee \left(a | b\right)\right) | \neg \left(a \vee b\right) | b = 1$$
Tabla de verdad
+---+---+--------+ | a | b | result | +===+===+========+ | 0 | 0 | 1 | +---+---+--------+ | 0 | 1 | 1 | +---+---+--------+ | 1 | 0 | 1 | +---+---+--------+ | 1 | 1 | 1 | +---+---+--------+