/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-03-04-uebungen/synthese0002.txt

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

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

        b a x   y
0       0 0 0   0
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   1



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

        b a x   a
1       0 0 1   1
5       1 0 1   1

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

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

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

        b a x   a
Gruppe 1:
1       0 0 1   1
Gruppe 2:
5       1 0 1   1

1;5     - 0 1

a <- (not a and x)

        b a x   y
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   1

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


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

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

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


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