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Gentzen's centenary: the quest for consistency

Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re...

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Detalles Bibliográficos
Autores principales: Kahle, Reinhard, Rathjen, Michael
Lenguaje:eng
Publicado: Springer 2015
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-10103-3
http://cds.cern.ch/record/2112883
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author Kahle, Reinhard
Rathjen, Michael
author_facet Kahle, Reinhard
Rathjen, Michael
author_sort Kahle, Reinhard
collection CERN
description Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.
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spelling cern-21128832021-04-21T20:00:43Zdoi:10.1007/978-3-319-10103-3http://cds.cern.ch/record/2112883engKahle, ReinhardRathjen, MichaelGentzen's centenary: the quest for consistencyMathematical Physics and MathematicsGerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.Springeroai:cds.cern.ch:21128832015
spellingShingle Mathematical Physics and Mathematics
Kahle, Reinhard
Rathjen, Michael
Gentzen's centenary: the quest for consistency
title Gentzen's centenary: the quest for consistency
title_full Gentzen's centenary: the quest for consistency
title_fullStr Gentzen's centenary: the quest for consistency
title_full_unstemmed Gentzen's centenary: the quest for consistency
title_short Gentzen's centenary: the quest for consistency
title_sort gentzen's centenary: the quest for consistency
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-10103-3
http://cds.cern.ch/record/2112883
work_keys_str_mv AT kahlereinhard gentzenscentenarythequestforconsistency
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