/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0013.txt

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


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

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



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

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

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



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

3;7     - 1 1
0;2     0 - 0
5;7     1 - 1
2;3     0 1 -

        0   2   3   5   7
3;7             *       *
0;2     *   *
5;7                 *   *
2;3         *   *

        0   2   3   5   7
3;7             *       *
0;2     *   *
5;7                 *   *

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

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

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

        1   2   5   7
1;5     *       *
2           *
5;7             *   *

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

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

0;1     0 0 -
0;2     0 - 1
0;4     - 0 0
1;3     0 - 1
2;3     0 1 -
3;7     - 1 1


0;1     0 0 -
2;3     0 1 -
0;2     0 - 0
1;3     0 - 1
0;4     - 0 0
3;7     - 1 1

0;1;2;3     0 - -
0;2;1;3     0 - -
0;4         - 0 0
3;7         - 1 1

0;1;2;3     0 - -
0;4         - 0 0
3;7         - 1 1

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


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