/media/sda-magnetic/david/Extern-Magnetic-2022-06-29/Extern01/Dokumente-11-2021-07-05/informatik-math/2021-11-20-learn/synthese0001.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   0 1 0
3       0 1 1   1 1 1
4       1 0 0   1 0 0
5       1 0 1   0 0 0
6       1 1 0   1 1 0
7       1 1 1   1 0 0


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

        b a x   a
0       0 0 0   1
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   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   0
5       1 0 1   0
6       1 1 0   0
7       1 1 1   0





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

        b a x   y
1       0 0 1   1
3       0 1 1   1



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

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


        b a x   b
Gruppe 1:
1       0 0 1   1
4       1 0 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
4;6     1 - 0
3;7     - 1 1
6;7     1 1 -

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

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

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



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


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

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

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


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

            0   1   2   3   6   7
0;2;1;3     *   *   *   *
0;1;2;6     *   *   *       *
6;7                         *   *
3;7                     *       *

            0   1   2   3   6   7
0;2;1;3     *   *   *   *
6;7                         *   *

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


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

1;3     0 - 1

y := (not b and x)


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