/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0007.txt

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


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



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



        b a x   b
Gruppe 1:
4       1 0 0   1
Gruppe 2:
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
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1


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

4;5     1 0 -
5;7     1 - 1
6;7     1 1 -

        4   5   6   7
4;5     *   *
5;7         *       *
6;7             *   *

        4   5   6   7
4;5     *   *
6;7             *   *

4;5;6;7  1 - -

b <- b

        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
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1


1;3     0 - 1
1;2     - 0 1
2;3     0 - 1
2;6     - 1 0
4;5     1 0 -
4;6     1 - 0


1;3     0 - 1
4;6     1 - 0
1;2     - 0 1
2;6     - 1 0
2;3     0 1 -
4;5     1 0 -

        1   2   3   4   5   6
1;3     *       *
4;6                 *       *
1;2     *   *
2;6         *               *
2;3         *   *
4;5                 *   *


        1   2   3   4   5   6
1;3     *       *
4;6                 *       *
2;3         *   *
4;5                 *   *

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


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