Theory of Recursive Functions and Effective Computability
Author: Hartley Rogers (Jr.)
Publisher:
Published: 1967
Total Pages: 482
ISBN-13:
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Author: Hartley Rogers (Jr.)
Publisher:
Published: 1967
Total Pages: 482
ISBN-13:
DOWNLOAD EBOOKAuthor: Rózsa Péter
Publisher:
Published: 1981
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: Nigel Cutland
Publisher: Cambridge University Press
Published: 1980-06-19
Total Pages: 268
ISBN-13: 9780521294652
DOWNLOAD EBOOKWhat 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: Ann Yasuhara
Publisher:
Published: 1971
Total Pages: 370
ISBN-13:
DOWNLOAD EBOOKAuthor: Hartley Rogers
Publisher:
Published: 1967
Total Pages: 526
ISBN-13:
DOWNLOAD EBOOKAuthor: Carl Smith
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 155
ISBN-13: 1441985018
DOWNLOAD EBOOKThe aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and manipulating algorithms. From there the book considers the complexity of computations and the notion of a complexity measure is introduced. Finally, the book culminates in considering time and space measures and in classifying computable functions as being either feasible or not. The author assumes only a basic familiarity with discrete mathematics and computing, making this textbook ideal for a graduate-level introductory course. It is based on many such courses presented by the author and so numerous exercises are included. In addition, the solutions to most of these exercises are provided.
Author: Herbert B. Enderton
Publisher: Academic Press
Published: 2010-12-30
Total Pages: 193
ISBN-13: 0123849594
DOWNLOAD EBOOKComputability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. Frequent historical information presented throughout More extensive motivation for each of the topics than other texts currently available Connects with topics not included in other textbooks, such as complexity theory
Author: Luis E. Sanchis
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 243
ISBN-13: 1461238781
DOWNLOAD EBOOKReflexive 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:
Published: 1999
Total Pages: 668
ISBN-13: 9780444589439
DOWNLOAD EBOOKAuthor: Mark Burgin
Publisher: Springer Science & Business Media
Published: 2006-12-21
Total Pages: 314
ISBN-13: 0387268065
DOWNLOAD EBOOK* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory and its ramifications * Demonstrates how these algorithms are more appropriate as mathematical models for modern computers and how they present a better framework for computing methods * Develops a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole