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