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Lógica matemática/ avbvcvb(a^bvc^avbvc)va^b

Expresión avbvcvb(a^bvc^avbvc)va^b

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    a∨b∨c∨(a∧b)∨(b∧(b∨c∨(a∧b)∨(a∧c)))
    a∨b∨c∨(a∧b)∨(b∧(b∨c∨(a∧b)∨(a∧c)))a \vee b \vee c \vee \left(a \wedge b\right) \vee \left(b \wedge \left(b \vee c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right)\right)
    Solución detallada
    b∨c∨(a∧b)∨(a∧c)=b∨cb \vee c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right) = b \vee c
    b∧(b∨c∨(a∧b)∨(a∧c))=bb \wedge \left(b \vee c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right) = b
    a∨b∨c∨(a∧b)∨(b∧(b∨c∨(a∧b)∨(a∧c)))=a∨b∨ca \vee b \vee c \vee \left(a \wedge b\right) \vee \left(b \wedge \left(b \vee c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right)\right) = a \vee b \vee c
    Simplificación [src]
    a∨b∨ca \vee b \vee c 
    a∨b∨c
    Tabla de verdad 
    +---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 1      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNCD [src]
    a∨b∨ca \vee b \vee c 
    a∨b∨c
    FND [src]
    Ya está reducido a FND
    a∨b∨ca \vee b \vee c 
    a∨b∨c
    FNC [src]
    Ya está reducido a FNC
    a∨b∨ca \vee b \vee c 
    a∨b∨c
    FNDP [src]
    a∨b∨ca \vee b \vee c 
    a∨b∨c
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