\begin{document}$ \alpha' $\end{document} corrections based on Hohm-Zwiebach action. We then use the simple phenomenological map between the \begin{document}$ \alpha^{\prime} $\end{document} and loop corrected theories in string cosmology to construct a non-perturbative loop corrected non-singular solution. Both solutions are non-singular everywhere. Therefore, the pre- and post-big-bangs are smoothly connected by these solutions."> Two non-perturbative <i>α</i>' or loop corrected string cosmological solutions -
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