/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0021.txt

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


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

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

        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   1
6       1 1 0   0
7       1 1 1   1



        b a x   b
1       0 0 1   1
4       1 0 0   1

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



        b a x   b
Gruppe 1:
1       0 0 1   1
4       1 0 0   1

        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   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
5       1 0 1   1
Gruppe 3:
7       1 1 1   1


        b a x   b
Gruppe 1:
1       0 0 1   1
4       1 0 0   1

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

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

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

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

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


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

Gruppe 0:
0;1     0 0 -
Gruppe 1:
4;5     1 0 -

0;1;4;5     - 0 -

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

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

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

1;3;5;7     - - 1

            0   1   3   4   5   7
0;1;4;5     *   *       *   *
0;4         *           *
3;7                 *           *
1;3;5;7         *   *       *   *



            0   1   3   4   5   7
0;1;4;5     *   *       *   *
1;3;5;7         *   *       *   *

y <- (not a) or (x)


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