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By Reinhard Kahle,Thomas Strahm,Thomas Studer

ISBN-10: 3319291963

ISBN-13: 9783319291963

The goal of this quantity is to assemble unique contributions via the simplest experts from the realm of facts thought, constructivity, and computation and talk about fresh tendencies and ends up in those parts. a few emphasis might be wear ordinal research, reductive facts concept, particular 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 contains contributions from the symposium “Advances in facts Theory”, which used to be held in Bern in December 2013.

​Proof thought got here into being within the twenties of the final century, whilst it used to be inaugurated by way of David Hilbert with a purpose to safe the rules of arithmetic. It used to be considerably prompted by way of Gödel's recognized incompleteness theorems of 1930 and Gentzen's new consistency evidence for the axiom approach of first order quantity idea in 1936. this day, evidence thought is a well-established department of mathematical and philosophical good judgment and one of many pillars of the principles of arithmetic. evidence conception explores positive and computational elements of mathematical reasoning; it really is relatively compatible for facing a variety of questions in computing device 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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