/media/sda-magnetic/david/Dokumente-15/fernuni-hagen/cs-i-ii/old-cs-2-01/2021-exrs-synthese-fsm/synthese0001.txt

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

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




        b a x   b
1       0 0 1   1
3       0 1 1   1
7       1 1 1   1

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




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

        b a x   a
Gruppe 1
1       0 0 1   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

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




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

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

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

        b a x   a
Gruppe 1
1       0 0 1   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

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

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

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


1;5     1 0 -
1;3     0 - 1
4;5     - 0 0
5;7     1 - 1
3;7     - 1 1


1;5     1 0 -
1;3     0 - 1
5;7     1 - 1
3;7     - 1 1
4;5     - 0 0

1;3;5;7 - - 1

            1   3   4   5   7
1;5         *           *
1;3         *   *
5;7                     *   *
3;7             *           *
4;6                 *   *


            1   3   4   5   7
1;5         *           *
3;7             *           *
4;6                 *   *

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