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The partial Hamiltonian analysis of the Ho\v{r}ava-type action presented inthe paper by M. Chaichian, S. Nojiri, S. D. Odintsov, M. Oksanen, A. Tureanu(Class. Quant. Grav. 27 (2011) 185021) is incorrect; for the authors' choice ofvariables, a covariant shift, instead of a contravariant shift which is the oneusually used in General Relativity (GR) in ADM variables, the true algebra ofconstraints differs from what they presented. The algebra of constraints fortheir choice of variables is explicitly given for GR and compared with thestandard algebra.

Comment on "Modified F(R) Ho\v{r}ava-Lifshitz gravity: a way to  accelerating FRW cosmology" by M. Chaichian, S. Nojiri, S. D. Odintsov, M.  Oksanen, A. Tureanu