Singular

LIB "polybori.lib";
ring r=0,x(1..5),Dp;
poly f=(x(1)+1)*(x(2)+1)*(x(3)+1)*x(4)*x(5);
zdd2poly(poly2zdd(f));
==> x(1)*x(2)*x(3)*x(4)*x(5)+x(1)*x(2)*x(4)*x(5)+x(1)*x(3)*x(4)*x(5)+x(2)*x(3\
   )*x(4)*x(5)+x(1)*x(4)*x(5)+x(2)*x(4)*x(5)+x(3)*x(4)*x(5)+x(4)*x(5)
poly g=x(3);
zdd2poly(poly2zdd(g));
==> x(3)
poly g=0;
==> // ** redefining g (poly g=0;)
zdd2poly(poly2zdd(0));
==> 0
poly g=1;
==> // ** redefining g (poly g=1;)
zdd2poly(poly2zdd(01));
==> 1