Ordinal Definability and Recursion Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Ordinal Definability and Recursion Theory PDF full book. Access full book title Ordinal Definability and Recursion Theory by Alexander S. Kechris. Download full books in PDF and EPUB format.
Author: Alexander S. Kechris
Publisher: Cambridge University Press
ISBN: 1107033403
Category : Mathematics
Languages : en
Pages : 552
Get Book Here
Book Description
The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
Author: Alexander S. Kechris
Publisher: Cambridge University Press
ISBN: 1107033403
Category : Mathematics
Languages : en
Pages : 552
Get Book Here
Book Description
The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
Author: Alexander S. Kechris
Publisher: Cambridge University Press
ISBN: 1316586286
Category : Mathematics
Languages : en
Pages : 552
Get Book Here
Book Description
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and Recursion Theory is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'HOD and its Local Versions' (Part V) and 'Recursion Theory' (Part VI), each of the two sections is preceded by an introductory survey putting the papers into present context. These four volumes will be a necessary part of the book collection of every set theorist.
Author: P. Odifreddi
Publisher: Elsevier
ISBN: 9780080886596
Category : Computers
Languages : en
Pages : 667
Get Book Here
Book Description
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Author: Chi Tat Chong
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110275643
Category : Mathematics
Languages : en
Pages : 322
Get Book Here
Book Description
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Author: Alexander S. Kechris
Publisher:
ISBN: 9781316588086
Category : MATHEMATICS
Languages : en
Pages : 552
Get Book Here
Book Description
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and Recursion Theory is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'HOD and its Local Versions' (Part V) and 'Recursion Theory' (Part VI), each of the two sections is preceded by an introductory survey putting the papers into present context. These four volumes will be a necessary part of the book collection of every set theorist.
Author: Gerald E. Sacks
Publisher: Cambridge University Press
ISBN: 1107168430
Category : Computers
Languages : en
Pages : 361
Get Book Here
Book Description
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 9780080955025
Category : Mathematics
Languages : en
Pages : 416
Get Book Here
Book Description
Provability, Computability and Reflection
Author: Juliette Kennedy
Publisher: Cambridge University Press
ISBN: 1139991752
Category : Science
Languages : en
Pages : 293
Get Book Here
Book Description
The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.
Author: Alexander S. Kechris
Publisher: Cambridge University Press
ISBN: 1316873633
Category : Mathematics
Languages : en
Pages : 318
Get Book Here
Book Description
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Large Cardinals, Determinacy and Other Topics is the final volume in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. This final volume contains Parts VII and VIII of the series. Part VII focuses on 'Extensions of AD, models with choice', while Part VIII ('Other topics') collects material important to the Cabal that does not fit neatly into one of its main themes. These four volumes will be a necessary part of the book collection of every set theorist.
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3662090589
Category : Mathematics
Languages : en
Pages : 653
Get Book Here
Book Description
Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
