  We investigate the possibility of a dark energy universe emerging from an
action with higher-order string loop corrections to Einstein gravity in the
presence of a massless dilaton. These curvature corrections (up to $R^4$ order)
are different depending upon the type of (super)string model which is
considered. We find in fact that Type II, heterotic, and bosonic strings
respond differently to dark energy. A dark energy solution is shown to exist in
the case of the bosonic string, while the other two theories do not lead to
realistic dark energy universes. Detailed analysis of the dynamical stability
of the de-Sitter solution is presented for the case of a bosonic string. A
general prescription for the construction of a de-Sitter solution for the
low-energy (super)string effective action is also indicated. Beyond the
low-energy (super)string effective action, when the higher-curvature correction
coefficients depend on the dilaton, the reconstruction of the theory from the
universe expansion history is done with a corresponding prescription for the
scalar potentials.
