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Mathematical intuitionism
This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by in...
Autores principales: | , |
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Lenguaje: | eng |
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American Mathematical Society
1988
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Acceso en línea: | http://cds.cern.ch/record/2318054 |
_version_ | 1780958360088084480 |
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author | Dragalin, A G Mendelson, E |
author_facet | Dragalin, A G Mendelson, E |
author_sort | Dragalin, A G |
collection | CERN |
description | This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule. |
id | cern-2318054 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1988 |
publisher | American Mathematical Society |
record_format | invenio |
spelling | cern-23180542021-04-21T18:49:18Zhttp://cds.cern.ch/record/2318054engDragalin, A GMendelson, EMathematical intuitionismMathematical Physics and MathematicsThis monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.American Mathematical Societyoai:cds.cern.ch:23180541988 |
spellingShingle | Mathematical Physics and Mathematics Dragalin, A G Mendelson, E Mathematical intuitionism |
title | Mathematical intuitionism |
title_full | Mathematical intuitionism |
title_fullStr | Mathematical intuitionism |
title_full_unstemmed | Mathematical intuitionism |
title_short | Mathematical intuitionism |
title_sort | mathematical intuitionism |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2318054 |
work_keys_str_mv | AT dragalinag mathematicalintuitionism AT mendelsone mathematicalintuitionism |