Sr Examen
Expresión (A→B)∧B→A
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Solución
Ha introducido
[src]
(b∧(a⇒b))⇒a
$$\left(b \wedge \left(a \Rightarrow b\right)\right) \Rightarrow a$$
Solución detallada
$$a \Rightarrow b = b \vee \neg a$$
$$b \wedge \left(a \Rightarrow b\right) = b$$
$$\left(b \wedge \left(a \Rightarrow b\right)\right) \Rightarrow a = a \vee \neg b$$
$$b \wedge \left(a \Rightarrow b\right) = b$$
$$\left(b \wedge \left(a \Rightarrow b\right)\right) \Rightarrow a = a \vee \neg b$$
Tabla de verdad
+---+---+--------+ | a | b | result | +===+===+========+ | 0 | 0 | 1 | +---+---+--------+ | 0 | 1 | 0 | +---+---+--------+ | 1 | 0 | 1 | +---+---+--------+ | 1 | 1 | 1 | +---+---+--------+