P. and V. κυροῦν, ἐπικυροῦν, ἐμπεδοῦν (Plato also Ar.), V. ἐχέγγυον ποιεῖν.
ratify with a nod: P. and V. ἐπινεύειν.
ratify by voting: P. ἐπιχειροτονεῖν.