# Topic

General proof theory studies how proofs are structured, and not primarily what can be proved in particular formal systems. It has been developed within the framework of Gentzen-style proof theory, as well as in categorial proof theory.

As Dag Prawitz's monograph "Natural Deduction" (1965) paved the way for this development – he also proposed the term "General Proof Theory" – it is most appropriate to use this topic to celebrate 50 years of this work.

# Invited speakers

- Kosta Došen (University of Belgrade and SANU):
*Adjunction and Normalization in Categories of Logic* - Per Martin-Löf (Stockholm University):
*The two interpretations of natural deduction: how do they fit together?* - Luiz Carlos Pereira (PUC Rio de Janeiro):
*The Russell-Prawitz translation and schematic rules: a view from proof-theory* - Dag Prawitz (Stockholm University):
*Gentzen's justification of inferences* - Helmut Schwichtenberg (Universität München):
*Decorating natural deduction* - Heinrich Wansing (Ruhr-Universität Bochum):
*A more general general proof theory*

# Contributing speakers

- Miloš Adžić (University of Belgrade):
*Gödel on the absolute proof and the logic of concepts*[unable to attend] - Federico Aschieri (Vienna University of Technology):
*On Classical Natural Deduction: Reduction Rules, Strong Normalization, Herbrand's Theorem* - Roy Dyckhoff (University of St Andrews) & Sara Negri (University of Helsinki):
*Idempotent coherentisation for first-order logic* - Nissim Francez (The Technion, Haifa):
*On distinguishing proof-theoretic consequence from derivability* - Lew Gordeew & E. Hermann Haeusler: NP = PSPACE [unable to attend]
- Norbert Gratzl (Universität München) & Eugenio Orlandelli (University of Bologna):
*Harmony, Logicality, and Double-line Rules* - Giulio Guerrieri (Université Paris Diderot - Paris 7) & Alberto Naibo (Université Paris 1 Panthéon-Sorbonne):
*Postponement of RAA and Glivenko's theorem, revisited* - Danko Ilik (Inria Saclay - Île de France):
*High-school sequent calculus and an intuitionistic formula hierarchy preserving identity of proofs* - Reinhard Kahle (Universidade Nova de Lisboa):
*Is there a "Hilbert thesis"?* - Angeliki Koutsoukou-Argyraki (TU Darmstadt):
*New Applications of Proof Mining to Nonlinear Analysis* - Mario Piazza (University of Chieti-Pescara) & Gabriele Pulcini (State University of Campinas):
*On the maximality of classical logic* - Clayton Peterson (Universität München):
*Monoidal logics: De Morgan negations and classical systems* - Zoran Petrić (Mathematical Institute, SANU):
*The natural deduction normal form and coherence*

# Participants

If you would like to attend the conference, then please send an email to Marine Gaudefroy-Bergmann by 31 October.

Organisers: Thomas Piecha and Peter Schroeder-Heister