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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...
Autores principales: | , |
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Lenguaje: | eng |
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Springer
2015
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-319-10103-3 http://cds.cern.ch/record/2112883 |
_version_ | 1780948974374486016 |
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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. |
id | cern-2112883 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2015 |
publisher | Springer |
record_format | invenio |
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 AT rathjenmichael gentzenscentenarythequestforconsistency |