// Insertion sort
isort(ret) >< [] => ret~[];
isort(ret) >< x:xs => I(ret, x)~cnt, isort(cnt)~xs;

I(ret, int x) >< [] => ret~[x];
I(ret, int x) >< (int y):ys
| x<=y => ret~(x:y:ys)
| _    => ret~(y:cnt), I(cnt, x)~ys;


// creates a random list
make_RandList(ret) >< (int n)
| n>0 => ret~(rd:cnt), make_RandList(cnt)~(n-1) 
  where rd=rand(10000)
| _ => ret~[];


// validation checks
valid(ret) >< [] => ret~False;
valid(ret) >< x:xs => valid_Cons(ret,x)~xs;

valid_Cons(ret, int x) >< [] => ret~True;
valid_Cons(ret, int x) >< (int y):ys
| x<=y => valid_Cons(ret,y)~ys
| _ => ret~False, Eraser~ys;

// The `Eraser' is a built-in agent defined for any agents as follows:
//Eraser >< Alpha(a1, ..., a5) => Eraser~a1, ..., Eraser~a5;


// Main
const LIST_ELEM=40000;

make_RandList(rndlist)~(LIST_ELEM),
isort(sorted)~rndlist,
valid(ret)~sorted;

ret;