Editors:
- This book contains state-of-the-art contributions to various topics in Proof Theory
- The papers range from traditional mathematical proof theory via constructive mathematics to applications in computer science
- This 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Computer Science and Applied Logic (PCS, volume 28)
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Table of contents (13 chapters)
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Front Matter
About this book
Proof theory came into being in the twenties of the last century, when it was inaugurated by David Hilbert in order to secure the foundations of mathematics. It was substantially influenced by Gödel's famous incompleteness theorems of 1930 and Gentzen's new consistency proof for the axiom system of first order number theory in 1936. Today, proof theory is a well-established branch of mathematical and philosophical logic and one of the pillars of the foundations of mathematics. Proof theory explores constructive and computational aspects of mathematical reasoning; it is particularly suitable for dealing with various questions in computer science.
Editors and Affiliations
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Campus de Caparica DM FCT, Univ Nova de Lisboa, Caparica, Portugal
Reinhard Kahle
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Inst.of Computer Sci. applied math., University of Bern, Bern, Switzerland
Thomas Strahm
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Institute of Computer Science and A, University of Berne, Berne, Switzerland
Thomas Studer
Bibliographic Information
Book Title: Advances in Proof Theory
Editors: Reinhard Kahle, Thomas Strahm, Thomas Studer
Series Title: Progress in Computer Science and Applied Logic
DOI: https://doi.org/10.1007/978-3-319-29198-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-29196-3Published: 12 May 2016
Softcover ISBN: 978-3-319-80513-9Published: 27 May 2018
eBook ISBN: 978-3-319-29198-7Published: 04 May 2016
Series ISSN: 2297-0576
Series E-ISSN: 2297-0584
Edition Number: 1
Number of Pages: XII, 425
Number of Illustrations: 10 b/w illustrations
Topics: Mathematical Logic and Foundations, Logic