/media/sda-magnetic/david/Extern-Magnetic-2022-06-29/Extern01/Dokumente-11-2021-07-05/informatik-math/2021-11-29-exercize/synthese00010.txt


        b a x   b a y
0       0 0 0   0 0 0
1       0 0 1   1 0 1
2       0 1 0   0 1 0
3       0 1 1   0 0 0
4       1 0 0   1 1 1
5       1 0 1   0 1 1
6       1 1 0   0 0 0
7       1 1 1   0 1 1


        b a x   b
0       0 0 0   0
1       0 0 1   1
2       0 1 0   0
3       0 1 1   0
4       1 0 0   1
5       1 0 1   0
6       1 1 0   0
7       1 1 1   0

        b a x   a
0       0 0 0   0
1       0 0 1   0
2       0 1 0   1
3       0 1 1   0
4       1 0 0   1
5       1 0 1   1
6       1 1 0   0
7       1 1 1   1

        b a x   y
0       0 0 0   0
1       0 0 1   1
2       0 1 0   0
3       0 1 1   0
4       1 0 0   1
5       1 0 1   1
6       1 1 0   0
7       1 1 1   1




        b a x   b
1       0 0 1   1
4       1 0 0   1

        b a x   a
2       0 1 0   1
4       1 0 0   1
5       1 0 1   1
7       1 1 1   1

        b a x   y
1       0 0 1   1
4       1 0 0   1
5       1 0 1   1
7       1 1 1   1



        b a x   b
Gruppe 1:
1       0 0 1   1
4       1 0 0   1

b := (not b and not a and x) or (b and not a and not x)

        b a x   a
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

2       0 1 0
4;5     1 0 -
5;7     1 - 1

a := (not b and a and not x) or (b and not a) or (b and x)


        b a x   y
Gruppe 1:
1       0 0 1   1
4       1 0 0   1
Gruppe 2:
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

1;5     - 0 1
4;5     1 0 -
5;7     1 - 1

y := (not a and x) or (b and not a) or (b and x)


b := (not b and not a and x) or (b and not a and not x)
a := (not b and a and not x) or (b and not a) or (b and x)
y := (not a and x) or (b and not a) or (b and x)