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Titlebook: Advances in Proof Theory; Reinhard Kahle,Thomas Strahm,Thomas Studer Book 2016 Springer International Publishing Switzerland 2016 construc

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发表于 2025-3-21 18:28:05 | 显示全部楼层 |阅读模式
期刊全称Advances in Proof Theory
影响因子2023Reinhard Kahle,Thomas Strahm,Thomas Studer
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发行地址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
学科分类Progress in Computer Science and Applied Logic
图书封面Titlebook: Advances in Proof Theory;  Reinhard Kahle,Thomas Strahm,Thomas Studer Book 2016 Springer International Publishing Switzerland 2016 construc
影响因子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 type-theoretic formalisms, and abstract computations. 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..​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 reason
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发表于 2025-3-21 20:20:51 | 显示全部楼层
Reinhard Kahle,Thomas Strahm,Thomas StuderThis 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
发表于 2025-3-22 04:15:09 | 显示全部楼层
发表于 2025-3-22 05:47:52 | 显示全部楼层
https://doi.org/10.1007/978-3-319-29198-7constructive mathematics; ordinal analysis; proof search; proof theory; type theory
发表于 2025-3-22 10:45:30 | 显示全部楼层
978-3-319-80513-9Springer International Publishing Switzerland 2016
发表于 2025-3-22 14:21:23 | 显示全部楼层
Optimal Fiber Diffusion Model RestorationVarious ordinal functions which in the past have been used to describe ordinals not much larger than the Bachmann-Howard ordinal are set into relation.
发表于 2025-3-22 19:15:43 | 显示全部楼层
Elisenda Bonet-Carne,Jana Hutter,Fan ZhangWe investigate a weakening of the classical theory of Frege structures and extensions thereof which naturally interpret (predicative) theories of explicit types and names à la Jäger.
发表于 2025-3-22 22:43:46 | 显示全部楼层
Lecture Notes in Computer ScienceLet me begin with a few personal words of appreciation, since Gerhard Jäger is one of my most valued friends and long time collaborators.
发表于 2025-3-23 03:37:59 | 显示全部楼层
发表于 2025-3-23 08:44:06 | 显示全部楼层
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