/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/aufgaben-2022-03-07/synthese0004.txt


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


        b a x   b
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   0

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

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



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

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

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



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

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

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

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

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

1;3;5;7 - - 1

a <- x

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

0;1     0 0 -
0;4     - 0 0 
1;3     0 - 1
4;6     1 - 0

        0   1   3   4   6
0;1     *   *
0;4     *           *
1;3         *   *
4;6                 *   *


        0   1   3   4   6
0;4     *           *
1;3         *   *
4;6                 *   *

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


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