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Hausdorff Research Institute for Mathematics (HIM)

The goal of this program is to bring together experts of Formal Mathematics, exploit their interactions, foster future collaborations, and interface them better with the mathematical mainstream. At the same time the goal is to provide a platform for junior researchers to enter Formal Mathematics. A central, unifying theme is to break down adoption barriers of formal methods in Mathematics.

Cours et évènements pour étudiants en mathématiques,    Logique mathématique et fondements

Hausdorff Research Institute for Mathematics (HIM)

This workshop focusses on the man / machine interaction in Formal Mathematics. Presently, most formal proofs are practically unreadable by average mathematicians, as they appear like specialized computer code. Can this be improved by making proof languages "readable", or by automatic translation from formalizations into a natural language-like format?

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

Proof theory is the study of formal proofs as mathematical objects in their own right. The subject has enjoyed continued attention among computer scientists in particular due to its significance for formalization, metalogic, and automation. In recent decades there has been a surge of interest on the representations of formal proofs themselves. The outcomes of these investigations have been remarkable, in particular extending the scope of structural proof theory to novel and richer settings. The point of this Dagstuhl Seminar is twofold. First and foremost, we want to bring together theorists and practitioners exploiting proof representations to identify new directions of application and, simultaneously, distill new theoretical directions from problems “in the wild”. At the same time, this seminar will expose the interface between the proof-normalization and proof-search traditions by probing proof representations from both directions.

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

The problem of deciding whether a propositional formula is satisfiable (SAT) is one of the most fundamental problems in computer science, both theoretically and practically. Due to its practical implications, intensive research has been performed on how to solve SAT problems in an automated fashion, and SAT solving is now a ubiquitous tool to solve many hard problems, both from industry and mathematics. SAT is also increasingly being applied in logics that are not decidable, particularly in the context of first-order theorem proving. Here, fast SAT solvers are used for reasoning sub-tasks and for guiding the theorem provers. The main aim of this Dagstuhl Seminar is to bring together researchers from different areas of activity on SAT and researchers that work in the field of first-order theorem proving so that they can communicate state-of-the-art advances and embark on a systematic interaction that will enhance the synergy between the different areas.