£79.58

Princeton University Press A Hierarchy of Turing Degrees - Computability Theory Book

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Description

A Hierarchy of Turing Degrees presents a groundbreaking unifying framework for computability theory, a fundamental branch of mathematical logic and computer science. Written by Rod Downey and Noam Greenberg, this volume introduces a new hierarchy that classifies the combinatorics of constructions across multiple areas of computability theory, including algorithmic randomness, Turing degrees, effectively closed sets, and effective structure theory. The book demonstrates how computability theory connects to diverse mathematical fields such as topology and group theory, making it essential reading for researchers and advanced students seeking to understand the interconnections between lowness notions in the computably enumerable degrees. Part of the prestigious Annals of Mathematics Studies series, this work unifies previously disparate concepts and reveals natural definability patterns that advance the field's theoretical foundations.

Key Features

Introduces a new unifying hierarchy for classifying constructions in computability theory and algorithmic randomness.

Covers Turing degrees, effectively closed sets, and effective structure theory with comprehensive mathematical rigor.

Demonstrates connections between computability theory and other mathematical disciplines including topology and group theory.

Published by Princeton University Press as volume 206 in the Annals of Mathematics Studies series.

Authored by Rod Downey and Noam Greenberg, leading experts in computability theory and mathematical logic.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
16 June 2020
Listed Since
22 October 2019

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