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Quantum corrections of certain types and relevant in certain regimes can besummarised in terms of an effective action calculable, in principle, from theunderlying theory. The demands of symmetries, local form of terms anddimensional considerations limit the form of the effective action to a greatextent leaving only the numerical coefficients to distinguish differentunderlying theories. The effective action can be restricted to particularsymmetry sectors to obtain the corresponding, {\em reduced effective action}.Alternatively, one can also quantize a classically (symmetry) reduced theoryand obtain the corresponding effective action. These two effective actions canbe compared. As an example, we compare the effective action(s) known inisotropic loop quantum cosmology with the Lovelock actions, as well as withmore general actions, specialized to homogeneous isotropic space-times and findthat the $\bar{\mu}$-scheme is singled out.

Effective Actions from Loop Quantum Cosmology: Correspondence with Higher Curvature Gravity