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Computability by Klaus Weihrauch (English) Paperback Book

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ISBN-13
9783642699672
Book Title
Computability
ISBN
9783642699672
Publication Name
Computability
Item Length
9.6in
Publisher
Springer Berlin / Heidelberg
Publication Year
2011
Series
Monographs in Theoretical Computer Science. an Eatcs Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.4in
Author
Klaus Weihrauch
Item Width
6.7in
Item Weight
32 Oz
Number of Pages
X, 517 Pages

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Product Information

Intends to lay a common basis for the different branches ofrecursion theory. Leads from the very basic theory to modernconcepts of computability. Consists of three consecutiveparts: 1. Basic Concepts of Computability. 2. TraditionalRecursion Theory. 3. Unified Type 2 theory of constructivityand computability on Baire's space including a general the-ory of representations.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3642699677
ISBN-13
9783642699672
eBay Product ID (ePID)
143765701

Product Key Features

Author
Klaus Weihrauch
Publication Name
Computability
Format
Trade Paperback
Language
English
Publication Year
2011
Series
Monographs in Theoretical Computer Science. an Eatcs Ser.
Type
Textbook
Number of Pages
X, 517 Pages

Dimensions

Item Length
9.6in
Item Height
0.4in
Item Width
6.7in
Item Weight
32 Oz

Additional Product Features

Series Volume Number
9
Number of Volumes
1 Vol.
Lc Classification Number
Qa75.5-76.95
Table of Content
Prerequisites and Notation.- 1: Basic Concepts of Computability.- 1.1 Flowcharts and Machines.- 1.2 Register Machines and Register Computability.- 1.3 Primitive Recursive and ?-Recursive Functions.- 1.4 WHILE-Programs and WHILE-Computability.- 1.5 Tape Machines.- 1.6 Stack Machines.- 1.7 Comparison of Number and Word Functions, Church's Thesis.- 1.8 Recursive and Recursively Enumerable Sets.- 1.9 The Standard Numbering ? of P(1).- 1.10 Some Unsolvable Problems.- 2: Type 1 Recursion Theory.- 2.1 The Basic Concepts of Computability Theory.- 2.2 Numberings.- 2.3 Recursive and Recursively Enumerable Sets (Continued).- 2.4 Many-one and One-one Reducibility.- 2.5 The Recursion Theorem.- 2.6 Creative, Productive, Complete Sets.- 2.7 Effective Numberings.- 2.8 Ordinal Trees and Computable Ordinals.- 2.9 Some Applications to Logic.- 2.10 Oracle Machines and Relativized Recursion Theory.- 2.11 Turing Reducibility and the Kleene Hierarchy.- 2.12 Computational Complexity.- 3: Type 2 Theory of Constructivity and Computability.- 3.1 Type 2 Computability Models.- 3.2 Recursion Theory on Baire's Space.- 3.3 Representations.- 3.4 Effective Representations.- 3.5 Complete Partial Orders.- 3.6 Type 1 Computability and Type 2 Computability.- 3.7 Solving Domain Equations.- 3.8 Applications to Analysis.- Index of Notations.
Copyright Date
1987
Topic
Programming / Algorithms, Computer Science, Logic
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Computers, Mathematics

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