Sr Examen
Expresión ¬(A⇒(B⇒C))
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Solución
Solución detallada
$$b \Rightarrow c = c \vee \neg b$$
$$a \Rightarrow \left(b \Rightarrow c\right) = c \vee \neg a \vee \neg b$$
$$a \not\Rightarrow \left(b \Rightarrow c\right) = a \wedge b \wedge \neg c$$
$$a \Rightarrow \left(b \Rightarrow c\right) = c \vee \neg a \vee \neg b$$
$$a \not\Rightarrow \left(b \Rightarrow c\right) = a \wedge b \wedge \neg c$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+