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The 7th International School and Workshop on Proof Theory will be organized by Ghent University under the auspices of The Proof Society.

Following the format of previous editions, the event begins with a three-day Summer School (September 1–3) offering five tutorials on a variety of topics related to proof theory. This will be followed by a two-day Workshop (September 4–5) featuring invited lectures and contributed talks. Guided by The Proof Manifesto, this event embraces the notion of proofs in its broadest sense, welcoming participation and contributions from logic, computer science, mathematics, and beyond.

Mathematische Logik, Grundlagen der Mathematik,    Kurse und Veranstaltungen für Studenten der Mathematik

An international autumn school "Proof and Computation" will be held from 14th to 20th September 2025 at Haus der bayerischen Landwirtschaft in Herrsching near Munich. Its aim is to bring together young researchers in the fields of Foundations of Mathematics, Computer Science and Philosophy.

Kurse und Veranstaltungen für Studenten der Mathematik,    Informationstheorie und Grundlagen der Informatik

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

How hard is it to figure out if there is a way to make a set of logical statements true at the same time by choosing appropriate truth values for their variables? This satisfiability problem is of immense importance both theoretically and practically, and lies right at the heart of mathematics and computer science. On the one hand, today so-called Boolean satisfiability (SAT) solvers are routinely and successfully used to solve large-scale real-world formulas in a wide range of application areas (such as hardware and software verification, electronic design automation, artificial intelligence research, cryptography, bioinformatics, operations research, and sometimes even pure mathematics). On the other hand, this problem is believed to be intractable in general --- though proving that this is so is so is one of the famous million dollar Clay Millennium Problems (the P vs. NP problem) --- and there are tiny formulas for which even the very best SAT solvers today fail miserably.

Boolean satisfiability (SAT)

Schloss Dagstuhl – Leibniz-Zentrum für Informatik GmbH

This Dagstuhl Seminar seeks to extend and deepen the convergence across disciplinary boundaries by fostering exchange and collaboration among the relevant experts and practitioners, uniting expertise in proof theory with proof complexity, categorical semantics, constructive mathematics, proof mining, program extraction, and automated theorem proving. By bridging these domains, we seek to empower the next generation of researchers to frame and connect their work within this converging landscape, ultimately advancing the computational applications of proof systems in both theoretical and practical contexts.

The International Centre for Mathematical Sciences (ICMS)

Validated numerics, rooted in Moore’s interval analysis, uses the arithmetic of real intervals to rigorously bound nonlinear functions and control floating-point errors in computations. These methods extend naturally to higher-dimensional and function spaces, forming the basis of rigorous numerical functional analysis. Combined with set-oriented techniques, validated numerics has enabled computer-assisted proofs to address a variety of problems in dynamical systems. Recent advances in computing, and wider availability of platforms that provide support, have led to a resurgence of research activity in the field of validated numerics (and application to computer-assisted proofs).