Advances in Proof Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kahle, Reinhard (Editor), Strahm, Thomas (Editor), Studer, Thomas (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Progress in Computer Science and Applied Logic, 28
• Subjects: Mathematics.; Logic.; Mathematical logic.; Mathematical Logic and Foundations.

The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas. Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and typ...

Table of Contents:

• 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.