Proof Theoretic Studies Of Systems Of Iterated Inductive Definitions And Subsystems Of Analysis
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Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies
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Author : W. Buchholz
language : en
Publisher: Springer
Release Date : 2006-11-14
Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies written by W. Buchholz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Proof Theoretic Studies Of Systems Of Iterated Inductive Definitions And Subsystems Of Analysis
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Author : Jeffery I. Zucker
language : en
Publisher:
Release Date : 1971
Proof Theoretic Studies Of Systems Of Iterated Inductive Definitions And Subsystems Of Analysis written by Jeffery I. Zucker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Induction (Mathematics) categories.
Iterated Inductive Definitions And Subsystems Of Analysis
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Author :
language : en
Publisher:
Release Date : 1982
Iterated Inductive Definitions And Subsystems Of Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Ordinal Analysis With An Introduction To Proof Theory
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Author : Toshiyasu Arai
language : en
Publisher: Springer Nature
Release Date : 2020-08-11
Ordinal Analysis With An Introduction To Proof Theory written by Toshiyasu Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Philosophy categories.
This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.
Extensions Of System F By Iteration And Primitive Recursion On Monotone Inductive Types
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Author : Ralph Matthes
language : en
Publisher: Herbert Utz Verlag
Release Date : 1999
Extensions Of System F By Iteration And Primitive Recursion On Monotone Inductive Types written by Ralph Matthes and has been published by Herbert Utz Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Induction (Logic) categories.
Concepts Of Proof In Mathematics Philosophy And Computer Science
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Author : Dieter Probst
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-07-25
Concepts Of Proof In Mathematics Philosophy And Computer Science written by Dieter Probst and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Philosophy categories.
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.
Proof Theory
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Author : Gaisi Takeuti
language : en
Publisher: Courier Corporation
Release Date : 2013-10-10
Proof Theory written by Gaisi Takeuti and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.
This comprehensive monograph presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition.
Handbook Of Proof Theory
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Author : S.R. Buss
language : en
Publisher: Elsevier
Release Date : 1998-07-09
Handbook Of Proof Theory written by S.R. Buss and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-09 with Mathematics categories.
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Harvey Friedman S Research On The Foundations Of Mathematics
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Author : L.A. Harrington
language : en
Publisher: Elsevier
Release Date : 1985-11-01
Harvey Friedman S Research On The Foundations Of Mathematics written by L.A. Harrington and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-01 with Mathematics categories.
This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.
Ways Of Proof Theory
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Author : Ralf Schindler
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Ways Of Proof Theory written by Ralf Schindler and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
On the occasion of the retirement of Wolfram Pohlers the Institut für Mathematische Logik und Grundlagenforschung of the University of Münster organized a colloquium and a workshop which took place July 17 – 19, 2008. This event brought together proof theorists from many parts of the world who have been acting as teachers, students and collaborators of Wolfram Pohlers and who have been shaping the field of proof theory over the years. The present volume collects papers by the speakers of the colloquium and workshop; and they produce a documentation of the state of the art of contemporary proof theory.