Formalized Recursive Functionals And Formalized Realizability

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Formalized Recursive Functionals And Formalized Realizability
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Author : Stephen Cole Kleene
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Formalized Recursive Functionals And Formalized Realizability written by Stephen Cole Kleene and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Intuitionistic mathematics categories.
This monograph carries out the program which the author formulated in earlier work, the formalization of the theory of recursive functions of type 0 and 1 and of the theory of realizability.
Classical Recursion Theory
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Author : P. Odifreddi
language : en
Publisher: Elsevier
Release Date : 1992-02-04
Classical Recursion Theory written by P. Odifreddi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-04 with Computers categories.
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis
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Author : Anne S. Troelstra
language : en
Publisher: Springer
Release Date : 2006-11-15
Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis written by Anne S. Troelstra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Handbook Of Mathematical Logic
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Author : J. Barwise
language : en
Publisher: Elsevier
Release Date : 1982-03-01
Handbook Of Mathematical Logic written by J. Barwise and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03-01 with Computers categories.
The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Cambridge Summer School In Mathematical Logic
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Author : A. R. D. Mathias
language : en
Publisher: Springer
Release Date : 2006-11-15
Cambridge Summer School In Mathematical Logic written by A. R. D. Mathias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Mathematical Intuitionism Introduction To Proof Theory
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Author : Al'bert Grigor'evi_ Dragalin
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Mathematical Intuitionism Introduction To Proof Theory written by Al'bert Grigor'evi_ Dragalin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with Mathematics categories.
In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. This book intends to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic.
New Computational Paradigms
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Author : S.B. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-28
New Computational Paradigms written by S.B. Cooper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-28 with Computers categories.
This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.
Logics Of Programs
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Author : Rohit Parikh
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-06
Logics Of Programs written by Rohit Parikh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-06 with Computers categories.