QED Reloaded: Towards a Pluralistic Formal Library of Mathematical Knowledge

Proposed in 1994, the “QED project” was one of the seminally influential initiatives in automated reasoning: It envisioned the formalization of “all of mathematics” and the assembly of these formalizations in a single coherent database. Even though it never led to the concrete system, communal resource, or even joint research envisioned in the QED manifesto, the idea lives on and shapes the research agendas of a significant part of the community This paper surveys a decade of work on representation languages and knowledge management tools for mathematical knowledge conducted in the KWARC research group at Jacobs University Bremen. It assembles the various research strands into a coherent agenda for realizing the QED dream with modern insights and technologies.