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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 : 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 : 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 : 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 : 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 : University of Michigan. Office of Research Administration
Publisher :
ISBN 13 :
Total Pages : 1464 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bibliography of Publications by Members of the Several Faculties of the University of Michigan written by University of Michigan. Office of Research Administration and published by . This book was released on 1923 with total page 1464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chi Tat Chong
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311038129X
Total Pages : 320 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 320 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 : 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 : Hans Hermes
Publisher : Springer Science & Business Media
ISBN 13 : 3642461786
Total Pages : 260 pages
Book Rating : 4.6/5 (424 download)
Download or read book Enumerability · Decidability Computability written by Hans Hermes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once we have accepted a precise replacement of the concept of algo rithm, it becomes possible to attempt the problem whether there exist well-defined collections of problems which cannot be handled by algo rithms, and if that is the case, to give concrete cases of this kind. Many such investigations were carried out during the last few decades. The undecidability of arithmetic and other mathematical theories was shown, further the unsolvability of the word problem of group theory. Many mathematicians consider these results and the theory on which they are based to be the most characteristic achievements of mathe matics in the first half of the twentieth century. If we grant the legitimacy of the suggested precise replacements of the concept of algorithm and related concepts, then we can say that the mathematicians have shown by strictly mathematical methods that there exist mathematical problems which cannot be dealt with by the methods of calculating mathematics. In view of the important role which mathematics plays today in our conception of the world this fact is of great philosophical interest. Post speaks of a natural law about the "limitations of the mathematicizing power of Homo Sapiens". Here we also find a starting point for the discussion of the question, what the actual creative activity of the mathematician consists in. In this book we shall give an introduction to the theory of algorithms.
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 : Dirk Draheim
Publisher : Springer
ISBN 13 : 364255198X
Total Pages : 218 pages
Book Rating : 4.6/5 (425 download)
Download or read book Semantics of the Probabilistic Typed Lambda Calculus written by Dirk Draheim and published by Springer. This book was released on 2017-02-28 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a foundational approach to the semantics of probabilistic programming. It elaborates a rigorous Markov chain semantics for the probabilistic typed lambda calculus, which is the typed lambda calculus with recursion plus probabilistic choice. The book starts with a recapitulation of the basic mathematical tools needed throughout the book, in particular Markov chains, graph theory and domain theory, and also explores the topic of inductive definitions. It then defines the syntax and establishes the Markov chain semantics of the probabilistic lambda calculus and, furthermore, both a graph and a tree semantics. Based on that, it investigates the termination behavior of probabilistic programs. It introduces the notions of termination degree, bounded termination and path stoppability and investigates their mutual relationships. Lastly, it defines a denotational semantics of the probabilistic lambda calculus, based on continuous functions over probability distributions as domains. The work mostly appeals to researchers in theoretical computer science focusing on probabilistic programming, randomized algorithms, or programming language theory.
Author : Peter G. Hinman
Publisher : Cambridge University Press
ISBN 13 : 1107168244
Total Pages : 493 pages
Book Rating : 4.1/5 (71 download)
Download or read book Recursion-Theoretic Hierarchies written by Peter G. Hinman and published by Cambridge University Press. This book was released on 2017-03-02 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory set out in this book results from the meeting of descriptive set theory and recursion theory.
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 : Erich Grädel
Publisher : Springer Science & Business Media
ISBN 13 : 3642040268
Total Pages : 577 pages
Book Rating : 4.6/5 (42 download)
Download or read book Computer Science Logic written by Erich Grädel and published by Springer Science & Business Media. This book was released on 2009-08-28 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 23rd International Workshop on Computer Science Logic, CSL 2009, held in Coimbra, Portugal, in September 2009. The 34 papers presented together with 5 invited talks were carefully reviewed and selected from 89 full paper submissions. All current aspects of logic in computer science are addressed, ranging from foundational and methodological issues to application issues of practical relevance. The book concludes with a presentation of this year's Ackermann award, the EACSL Outstanding Dissertation Award for Logic in Computer Science.
Author : Nigel Cutland
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (959 download)
Download or read book Computability written by Nigel Cutland and published by . This book was released on 2000 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
