  Using the semi-classical approximation to the Wheeler-DeWitt equation
obtained via Arnowitt-Deser-Misner (ADM) formalism in the
Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar field and
positive cosmological constant, and in the Kantowski-Sachs (KS) Universe, we
introduced a deformation on the commutation relation for the minisuperspace
variables and find an explicit semiclassical expression equivalent, in an
adequate limit, to the solution with the aid of asymptotically equal functions
and the theory of Ultrafilters, offering a suggestive alternative to sketch the
behavior of the dynamical system involved without the need to solve it
numerically.
