Advances in proof theory

Abstract

The volume is dedicated to the 60th birthday of Professor Gerhard Jäger, who has been instrumental in shaping and promoting logic in Switzerland for the last 25 years. It comprises contributions from the symposium Advances in Proof Theory, which was held in Bern in December 2013. W. Buchholz: A survey on ordinal notations around the Bachmann-Howard ordinal -- A. Cantini: About truth and types -- R. Dyckhoff: Intuitionistic decision procedures since Gentzen -- S. Feferman: The operational perspective -- R. Gore: Formally verified proof-theory using Isabelle/HOL -- P. Minari: Analytic equational proof systems for combinatory logic and lambda calculus -- W. Pohlers: From subsystems of classical analysis to subsystems of set theory -- a personal account -- M. Rathjen: Ordinal analysis and witness extraction -- P. Schuster: Logic completeness via open induction -- H. Schwichtenberg: On the computational content of Higman's lemma -- P. Schroeder-Heister: TBA -- A. Setzer: TBA -- S. Wainer: On weak "pointwise" induction, and a miniaturized predicativity.