As can be evinced from this abstract, my contribution has a twofold purpose: on the one hand giving a short, but hopefully convincing introduction to the theoretical aspects justifying the scholarly value of a computational approach to editing and, on the other, presenting some meaningful results obtained in the praxis. In particular, the focus will mainly be on the success and challenges of the normalisation pipelines developed in collaboration with Gioele Barabucci, showing what it actually meant to translate into code the usually very analogue task of normalising medieval texts, what problems we encountered and how we solved them. Finally, as an outlook for the possible applications of the computational principle, I will briefly illustrate the work I am doing for my next project, the edition of the <hi xmlns="http://www.tei-c.org/ns/1.0" rend="italic">Prenostica Socratis Basilei</hi>, which was conceived from the start as a computational one. In my talk, I will show some prototypical examples concerning specific aspects of the computational workflow.