Sr Examen

Expresión avb⇒¬bvc

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (a∨b)⇒(c∨(¬b))
    (ab)(c¬b)\left(a \vee b\right) \Rightarrow \left(c \vee \neg b\right)
    Solución detallada
    (ab)(c¬b)=c¬b\left(a \vee b\right) \Rightarrow \left(c \vee \neg b\right) = c \vee \neg b
    Simplificación [src]
    c¬bc \vee \neg b
    c∨(¬b)
    Tabla de verdad
    +---+---+---+--------+
    | a | b | c | result |
    +===+===+===+========+
    | 0 | 0 | 0 | 1      |
    +---+---+---+--------+
    | 0 | 0 | 1 | 1      |
    +---+---+---+--------+
    | 0 | 1 | 0 | 0      |
    +---+---+---+--------+
    | 0 | 1 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 0 | 0      |
    +---+---+---+--------+
    | 1 | 1 | 1 | 1      |
    +---+---+---+--------+
    FNDP [src]
    c¬bc \vee \neg b
    c∨(¬b)
    FND [src]
    Ya está reducido a FND
    c¬bc \vee \neg b
    c∨(¬b)
    FNCD [src]
    c¬bc \vee \neg b
    c∨(¬b)
    FNC [src]
    Ya está reducido a FNC
    c¬bc \vee \neg b
    c∨(¬b)