/media/sda-magnetic/david/Dokumente-15/fernuni-hagen/cs-i-ii/old-cs-2-01/2021-11-20-learn/synthese0005.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   1 1 0
3       0 1 1   0 1 0
4       1 0 0   1 1 0
5       1 0 1   0 0 1
6       1 1 0   1 0 0
7       1 1 1   1 1 1


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

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



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

2;4     - 1 0
4;6     1 - 0
6;7     1 1 -

        2   4   6   7
2;4     *   *
4;6         *   *
6;7             *   *


        2   4   6   7
2;4     *   *
6;7             *   *

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

        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 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;2     0 - 0
0;4     - 0 0
3;7     - 1 1
2;3     0 1 -

        0   2   3   4   7
0;2     *   *
0;4     *           *
3;7             *       *
2;3         *   *

        0   2   3   4   7
0;2     *   *
0;4     *           *
3;7             *       *

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


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

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

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


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