/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/aufgaben-2022-03-07/synthese0002.txt

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


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

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




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

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

        b a x   y
1       0 0 1   1
3       0 1 1   1
7       1 1 1   1



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1
Gruppe 3:
7       1 1 1   1

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

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



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1
Gruppe 3:
7       1 1 1   1

0;1     0 0 -
1;3     0 - 1
1;5     - 0 1
3;7     - 1 1
5;7     1 - 1
6;7     1 1 -


0;1     0 0 -
6;7     1 1 -
1;3     0 - 1
5;7     1 - 1
1;5     - 0 1
3;7     - 1 1

0;1         0 0 -
6;7         1 1 -
1;3;5;7     - - 1
1;5;3;7     - - 1

        0   1   3   5   6   7
0;1     *   *
6;7                     *   *
1;5;3;7     *   *   *       *

b <- (not b and not a) or (b and a) or x


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

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

a <- (not b and not x) or (b and x)

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

1;3     0 - 1
3;7     - 1 1

y <- (not b and x) or (a and x)


b <- (not b and not a) or (b and a) or x
a <- (not b and not x) or (b and x)
y <- (not b and x) or (a and x)