Cosmology of the de Sitter Horndeski models
  Horndeski models with a de Sitter critical point for any kind of material
content may provide a mechanism to alleviate the cosmological constant problem.
We study the cosmological evolution of two classes of families - the linear
models and the non-linear models with shift symmetry. We conclude that the
latter models can deliver a background dynamics compatible with the latest
observational data.
