/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0014.txt

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


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

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

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

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




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

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

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

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

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

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

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


0;2     0 - 0
4;6     1 - 0
2;3     0 1 -
6;7     1 1 -
3;7     - 1 1
0;4     - 0 0

0;2;4;6     - - 0
2;3;6;7     - 1 -
3;7         - 1 1
0;4         - 0 0

            0   2   3   4   6   7
0;2;4;6     *   *       *   *
2;3;6;7         *   *       *   *

y <- (not x) or (a)


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