**5. Conclusions and Future Work**

We have defined a representation of 3/2-institutions as stratified institutions in which the set of the reducts of a model with respect to a fixed signature morphism is assimilated to the set of its states. This representation is subject to some conditions on the signature morphisms. Then, we have explored three consequences of this general representation: a further representation to ordinary institutions, (stratified) semantic connectives in 3/2 institutions, and stratified model amalgamation in 3/2-institutions.

The results of our work also raise a series of issues to be addressed in the future. We mention a couple of them:


As stratified institution theory continues to develop, our representation result may provide new enhancements of the theory of 3/2-institutions with concepts and results that come from stratified institutions.

**Funding:** This work was supported by a grant of the Romanian Ministry of Education and Research, CNCS—UEFISCDI, project number PN-III-P4-ID-PCE-2020-0446, within PNCDI III.

**Acknowledgments:** The comments of the reviewers helped improve the presentation of the results in the paper.

**Conflicts of Interest:** The author declares no conflict of interest.
