On Some Points Of The Theory Of Recursive Functions
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On Some Points Of The Theory Of Recursive Functions
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Author : John West Addison
language : en
Publisher:
Release Date : 1954
On Some Points Of The Theory Of Recursive Functions written by John West Addison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Recursive functions categories.
On Some Points Of The Theory Of Recursive Functions
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Author : Aaron Arnold
language : en
Publisher:
Release Date : 1934
On Some Points Of The Theory Of Recursive Functions written by Aaron Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1934 with Arginine categories.
Reflexive Structures
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Author : Luis E. Sanchis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Reflexive Structures written by Luis E. Sanchis 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 2012-12-06 with Mathematics categories.
Reflexive Structures: An Introduction to Computability Theory is concerned with the foundations of the theory of recursive functions. The approach taken presents the fundamental structures in a fairly general setting, but avoiding the introduction of abstract axiomatic domains. Natural numbers and numerical functions are considered exclusively, which results in a concrete theory conceptually organized around Church's thesis. The book develops the important structures in recursive function theory: closure properties, reflexivity, enumeration, and hyperenumeration. Of particular interest is the treatment of recursion, which is considered from two different points of view: via the minimal fixed point theory of continuous transformations, and via the well known stack algorithm. Reflexive Structures is intended as an introduction to the general theory of computability. It can be used as a text or reference in senior undergraduate and first year graduate level classes in computer science or mathematics.
Theory Of Recursive Functions And Effective Computability
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Author : Hartley Rogers
language : en
Publisher:
Release Date : 1967
Theory Of Recursive Functions And Effective Computability written by Hartley Rogers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Recursion Theory
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Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17
Recursion Theory written by Chi Tat Chong 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 2015-08-17 with Mathematics categories.
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Recursive Functions In Computer Theory
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Author : Rózsa Péter
language : en
Publisher:
Release Date : 1981
Recursive Functions In Computer Theory written by Rózsa Péter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Computers categories.
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.
Enumerability Decidability Computability
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Author : Hans Hermes
language : en
Publisher: Springer
Release Date : 2013-03-14
Enumerability Decidability Computability written by Hans Hermes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The task of developing algorithms to solve problems has always been considered by mathematicians to be an especially interesting and im portant one. Normally an algorithm is applicable only to a narrowly limited group of problems. Such is for instance the Euclidean algorithm, which determines the greatest common divisor of two numbers, or the well-known procedure which is used to obtain the square root of a natural number in decimal notation. The more important these special algorithms are, all the more desirable it seems to have algorithms of a greater range of applicability at one's disposal. Throughout the centuries, attempts to provide algorithms applicable as widely as possible were rather unsuc cessful. It was only in the second half of the last century that the first appreciable advance took place. Namely, an important group of the inferences of the logic of predicates was given in the form of a calculus. (Here the Boolean algebra played an essential pioneer role. ) One could now perhaps have conjectured that all mathematical problems are solvable by algorithms. However, well-known, yet unsolved problems (problems like the word problem of group theory or Hilbert's tenth problem, which considers the question of solvability of Diophantine equations) were warnings to be careful. Nevertheless, the impulse had been given to search for the essence of algorithms. Leibniz already had inquired into this problem, but without success.
Recursive Functions
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Author : Rózsa Péter
language : en
Publisher:
Release Date : 1967
Recursive Functions written by Rózsa Péter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Recursive functions categories.
Fundamentals Of Generalized Recursion Theory
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Author : M. Fitting
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Fundamentals Of Generalized Recursion Theory written by M. Fitting and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
Fundamentals of Generalized Recursion Theory