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Author : Aaron Arnold
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (487 download)
Download or read book On Some Points of the Theory of Recursive Functions written by Aaron Arnold and published by . This book was released on 1934 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John West Addison
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (89 download)
Download or read book On Some Points of the Theory of Recursive Functions written by John West Addison and published by . This book was released on 1954 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nigel Cutland
Publisher : Cambridge University Press
ISBN 13 : 9780521294652
Total Pages : 268 pages
Book Rating : 4.2/5 (946 download)
Download or read book Computability written by Nigel Cutland and published by Cambridge University Press. This book was released on 1980-06-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Author : John West Addison
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (536 download)
Download or read book On Some Points of the Theory of Recursive Fonctions written by John West Addison and published by . This book was released on 1954 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hartley Rogers
Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theory of Recursive Functions and Effective Computability written by Hartley Rogers and published by . This book was released on 1967 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rózsa Péter
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.F/5 ( download)
Download or read book Recursive Functions in Computer Theory written by Rózsa Péter and published by . This book was released on 1981 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Hermes
Publisher : Springer
ISBN 13 : 3662116863
Total Pages : 255 pages
Book Rating : 4.6/5 (621 download)
Download or read book Enumerability, Decidability, Computability written by Hans Hermes and published by Springer. This book was released on 2013-03-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Chi Tat Chong
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311038129X
Total Pages : 409 pages
Book Rating : 4.1/5 (13 download)
Download or read book Recursion Theory written by Chi Tat Chong and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Luis E. Sanchis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238781
Total Pages : 243 pages
Book Rating : 4.4/5 (612 download)
Download or read book Reflexive Structures written by Luis E. Sanchis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Piergiorgio Odifreddi
Publisher :
ISBN 13 : 9780444589439
Total Pages : 668 pages
Book Rating : 4.5/5 (894 download)
Download or read book Classical recursion theory : the theory of functions and sets of natural numbers written by Piergiorgio Odifreddi and published by . This book was released on 1999 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Cole Kleene
Publisher : American Mathematical Soc.
ISBN 13 : 0821812890
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)
Download or read book Formalized Recursive Functionals and Formalized Realizability written by Stephen Cole Kleene and published by American Mathematical Soc.. This book was released on 1969 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Rózsa Péter
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)
Download or read book Recursive Functions written by Rózsa Péter and published by . This book was released on 1967 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.F/5 ( download)
Download or read book Recursive Function Theory written by and published by . This book was released on 1962 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Piergiorgio Odifreddi
Publisher : Elsevier Health Sciences
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.3/5 (91 download)
Download or read book Classical Recursion Theory written by Piergiorgio Odifreddi and published by Elsevier Health Sciences. This book was released on 1989 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Samuel Eilenberg
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (91 download)
Download or read book Recursiveness written by Samuel Eilenberg and published by . This book was released on 1970 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph R. Shoenfield
Publisher : CRC Press
ISBN 13 : 1351419420
Total Pages : 96 pages
Book Rating : 4.3/5 (514 download)
Download or read book Recursion Theory written by Joseph R. Shoenfield and published by CRC Press. This book was released on 2018-04-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.
Author : Adam Chlipala
Publisher : MIT Press
ISBN 13 : 0262317885
Total Pages : 437 pages
Book Rating : 4.2/5 (623 download)
Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2013-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
