human
I wrote the below code

    def reduction(P):
        '\n                                The    actual    reduction    algorithm.\n                                '
        Q = []
        for (i, p) in enumerate(P):
            h = p.rem((P[:i] + P[(i + 1):]))
            if h:
                Q.append(h)
        return [p.monic() for p in Q]
    F = G
    H = []
    while F:
        f0 = F.pop()
        if (not any((monomial_divides(f.LM, f0.LM) for f in (F + H)))):
            H.append(f0)
    return reduction(H)

What's a good function header?
 Here's a good function header?
assistant
#Here's a good function header.

def red_groebner(G, ring):