Testing different approaches to quantum gravity with cosmology: An
  overview
  Among the available quantum gravity proposals, string theory, loop quantum
gravity, non-commutative geometry, group field theory, causal sets, asymptotic
safety, causal dynamical triangulation, emergent gravity are among the best
motivated models. As an introductory summary to this special issue of Comptes
Rendus Physique, I explain how those different theories can be tested or
constrained by cosmological observations.
