/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2021-11-29-exercize/synthese0005.txt

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


        b a x   b
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   0
6       1 1 0   0
7       1 1 1   1

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



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

        b a x   a
0       0 0 0   1
1       0 0 1   1
4       1 0 0   1
6       1 1 0   1
7       1 1 1   1

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



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

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



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

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

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

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

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

        0   1   4   6   7
0;1     *   *
6;7                 *   *
4;5             *   *
0;4     *       *


        0   1   4   6   7
0;1     *   *
6;7                 *   *
4;5             *   *

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


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

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



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