Is the correspondence principle valid for quantum systems whose classical counterparts are chaotic? This question has been at the center of a debate that has taken place in recent years within the community of scientists interested in quantum chaos [4,17–20,33]. In this paper we will argue that the apparent failure of the correspondence principle is cured by decoherence, which is an essential ingredient to properly define a classical limit. We shall begin by schematically presenting the problem. Subsequently, we shall sketch the solution provided by decoherence.