/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-03-04-uebungen/synthese0004.txt

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


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

        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   0
5       1 0 1   0
6       1 1 0   1
7       1 1 1   1



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

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

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

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

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



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

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

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

        0   2   4   5   7
0;2     *   *
5;7                 *   *
0;4     *       *
4;5             *   *

        0   2   4   5   7
0;2     *   *
5;7                 *   *
0;4     *       *

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

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

4;6     1 - 0
3       0 1 1

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

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

1;3     0 - 1
2;3     0 1 -
2;6     - 1 0
3;3     - 1 1 
6;7     1 1 -


1;3     0 - 1
2;3     0 1 -
6;7     1 1 -
2;6     - 1 0
3;3     - 1 1

1;3         0 - 1
2;3;6;7     - 1 -

y <- (not b and x) or a



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