Expresión А(a∨ab¬c)∨¬a¬b¬c
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
$$a \vee \left(a \wedge b \wedge \neg c\right) = a$$
$$a \wedge \left(a \vee \left(a \wedge b \wedge \neg c\right)\right) = a$$
$$\left(a \wedge \left(a \vee \left(a \wedge b \wedge \neg c\right)\right)\right) \vee \left(\neg a \wedge \neg b \wedge \neg c\right) = a \vee \left(\neg b \wedge \neg c\right)$$
$$a \vee \left(\neg b \wedge \neg c\right)$$
Tabla de verdad
+---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 1 |
+---+---+---+--------+
| 0 | 0 | 1 | 0 |
+---+---+---+--------+
| 0 | 1 | 0 | 0 |
+---+---+---+--------+
| 0 | 1 | 1 | 0 |
+---+---+---+--------+
| 1 | 0 | 0 | 1 |
+---+---+---+--------+
| 1 | 0 | 1 | 1 |
+---+---+---+--------+
| 1 | 1 | 0 | 1 |
+---+---+---+--------+
| 1 | 1 | 1 | 1 |
+---+---+---+--------+
$$\left(a \vee \neg b\right) \wedge \left(a \vee \neg c\right)$$
Ya está reducido a FND
$$a \vee \left(\neg b \wedge \neg c\right)$$
$$\left(a \vee \neg b\right) \wedge \left(a \vee \neg c\right)$$
$$a \vee \left(\neg b \wedge \neg c\right)$$