By Reinhard Kahle,Thomas Strahm,Thomas Studer

ISBN-10: 3319291963

ISBN-13: 9783319291963

The goal of this quantity is to gather unique contributions through the simplest experts from the world of evidence concept, constructivity, and computation and talk about contemporary tendencies and leads to those components. a few emphasis can be wear ordinal research, reductive evidence idea, specific arithmetic and type-theoretic formalisms, and summary computations. the amount is devoted to the sixtieth birthday of Professor Gerhard Jäger, who has been instrumental in shaping and selling common sense in Switzerland for the final 25 years. It includes contributions from the symposium “Advances in facts Theory”, which used to be held in Bern in December 2013.

​Proof concept got here into being within the twenties of the final century, while it was once inaugurated by way of David Hilbert which will safe the principles of arithmetic. It used to be considerably inspired through Gödel's recognized incompleteness theorems of 1930 and Gentzen's new consistency evidence for the axiom method of first order quantity concept in 1936. this day, evidence concept is a well-established department of mathematical and philosophical common sense and one of many pillars of the rules of arithmetic. evidence concept explores positive and computational facets of mathematical reasoning; it really is fairly appropriate for facing a variety of questions in desktop science. 

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Advances in Proof Theory (Progress in Computer Science and Applied Logic) by Reinhard Kahle,Thomas Strahm,Thomas Studer

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