Theory of Recursive Functions and Effective Computability

Theory of Recursive Functions and Effective Computability PDF Author: Hartley Rogers (Jr.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 482

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Theory of Recursive Functions and Effective Computability

Theory of Recursive Functions and Effective Computability PDF Author: Hartley Rogers (Jr.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 482

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Recursive Functions in Computer Theory

Recursive Functions in Computer Theory PDF Author: Rózsa Péter
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 192

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Computability

Computability PDF Author: Nigel Cutland
Publisher: Cambridge University Press
ISBN: 9780521294652
Category : Computers
Languages : en
Pages : 268

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Book Description
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.

Recursive Function Theory and Logic

Recursive Function Theory and Logic PDF Author: Ann Yasuhara
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 370

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Theory of Recursive Functions and Effective Computability

Theory of Recursive Functions and Effective Computability PDF Author: Hartley Rogers
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 526

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A Recursive Introduction to the Theory of Computation

A Recursive Introduction to the Theory of Computation PDF Author: Carl Smith
Publisher: Springer Science & Business Media
ISBN: 1441985018
Category : Computers
Languages : en
Pages : 155

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Book Description
The 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.

Computability Theory

Computability Theory PDF Author: Herbert B. Enderton
Publisher: Academic Press
ISBN: 0123849594
Category : Mathematics
Languages : en
Pages : 193

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Book Description
Computability 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

Super-Recursive Algorithms

Super-Recursive Algorithms PDF Author: Mark Burgin
Publisher: Springer Science & Business Media
ISBN: 0387268065
Category : Mathematics
Languages : en
Pages : 314

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Book Description
* 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

Higher Recursion Theory

Higher Recursion Theory PDF Author: Gerald E. Sacks
Publisher: Cambridge University Press
ISBN: 1107168430
Category : Computers
Languages : en
Pages : 361

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Book Description
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

Classical recursion theory : the theory of functions and sets of natural numbers

Classical recursion theory : the theory of functions and sets of natural numbers PDF Author: Piergiorgio Odifreddi
Publisher:
ISBN: 9780444589439
Category : Recursion theory
Languages : en
Pages : 668

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Book Description