Computability Theory (Chapman Hall/CRC Mathematics Series)
Computability theory originated with the seminal work of GAdel, Church, Turing, Kleene and Post in the 1930s. Get and download textbook Computability Theory (Chapman Hall/CRC Mathematics Series) for free
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.
This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences.
Written by a leading researcher, Computability 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 Computability Theory new edition
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Computability theory: S. Barry Cooper
Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts
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author maribel fernandez format paperback language english publication year 21 04 2009 series undergraduate topics in computer science subject computing it subject 2 computing professional programming title models of computation an introduction to computability theory author fernandez maribel publisher springer verlag new york inc publication date may 01 2009 pages 184 binding paperback edition 1 st dimensions 7 01 wx 9 21 hx 0 55 d isbn 1848824335 subject computers computer science descriptio
Computability Theory Textbook
The basic concepts and techniques of computability theory are placed in their
