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With the paper “Criteria of structural supplementation in the restoration of the monuments of the Athenian Acropolis. Methodological problems and design choices” there will be a discussion of the criteria on the basis of which the procedure of supplementing the architectural members is decided. After a brief historical presentation of the previous restoration projects and a brief examination of the restoration principles followed today, these criteria are grouped in five main categories taking as an example the Propylaia restoration. These categories are illustrated with characteristic examples from the interventions at the Propylaia in the last ten years, through which both the methodological problems and the design choices emerge.