<p>Proof and Computation</p>

Autumn school "Proof and Computation", 15th to 21st September 2025

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. Previous autumn schools in this series were PC24, PC23, PC22, PC21, PC19, PC18, PC17, PC16.

Scope

Predicative Foundations
Constructive Mathematics and Type Theory
Computation in Higher Types
Extraction of Programs from Proofs

Courses

Ulrich Berger (Swansea): Program extraction in higher-order logic
Roberto Giuntini (Cagliari): From Sharp to Unsharp: Exploring the Frontiers of Quantum Logic
Hajime Ishihara (Toho-University, Ota City): Uniform Spaces and Integration Theory.
Klaus Mainzer (Munich): From Proof and Computation to AI
Dirk Pattinson (Canberra): Proof Systems for non-monotone Modal Logics
Hideki Tsuiki (Kyoto): Extracting nondeterministic programs from proofs (slot 1) Fractals and coinduction (slots 2 and 3)
Richard Zach (Calgary): Introduction to the Epsilon-Calculus

Schedule

             Monday     Tuesday   Wednesday  Thursday  Friday
09:00-09:50  Mainzer    Tsuiki    Tsuiki     Ishihara  Pattinson
09:50-10:30  *Coffee*   *Coffee*  *Coffee*   *Coffee*  *Coffee*
10:30-11:20  Berger     Giuntini  Pattinson  Berger    Ishihara
11:30-12:20  Ishihara   Mainzer              Groups    Groups    

15:00-15:50  Tsuiki     Zach                 Giuntini  Mainzer  
15:50-16:30  *Coffee*   *Coffee*             *Coffee*  *Coffee*
16:30-17:20  Pattinson  Berger               Zach      Giuntini   
17:30-18:20  Zach       Groups               Groups    Groups

Working groups

There will be an opportunity to form ad-hoc groups working on specific projects, but also to discuss in more general terms the vision of constructing correct programs from proofs.

How to get there

The default arrival time is Sunday afternoon, and departure time Saturday after breakfast. There are frequent suburban trains (line S8) from the airport and downtown Munich to Herrsching. From the train station in Herrsching one can walk to the school site; see its website for directions. There is also a bus connection.

Applications

Graduate or PhD students and young postdoctoral researches are invited to apply. Applications (e.g. a self-introduction including research interests and motivation) should be sent to Valentin Herrmann (valentin.herrmann[at]math.lmu.de). Students are required to provide a letter of recommendation, preferably from the thesis adviser. Deadline for applications: June 16, 2025. Applicants will be notified by July 4, 2025.

Financial support

The workshop is supported by the Udo Keller Stiftung* (Hamburg). Successful applicants with funding problems may apply for financial support covering accommodation including meals for the days of the autumn school (ca. 145 Euro per day).

Klaus Mainzer

Peter Schuster

Helmut Schwichtenberg