/media/sda-magnetic/david/Extern-Magnetic-2022-06-29/Extern01/Dokumente-11-2021-07-05/informatik-math/2021-11-29-exercize/synthese0003.txt

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


        b a x   b
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   1

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




        b a x   b
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
7       1 1 1   1

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




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

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



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

0;1     0 0 -
0;4     - 0 0
1;3     0 - 1
4;6     1 - 0
3;7     - 1 1
6;7     1 1 -


0;1     0 0 -
6;7     1 1 -
0;4     - 0 0
3;7     - 1 1
1;3     0 - 1
4;6     1 - 0

        0   1   3   4   6   7
0;1     *   *
6;7                     *   *
0;4     *           *
3;7             *           *
1;3         *   *
4;6                 *   *


        0   1   3   4   6   7
0;1     *   *
6;7                     *   *
1;3         *   *
4;6                 *   *

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

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


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

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


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

a := (not a and not x) or (b and 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:
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

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

0;1     0 0 -
4;5     1 0 -

0;1;4;5     - 0 -

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

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


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

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


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