Foundations of 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 Foundations of Recursion Theory PDF full book. Access full book title Foundations of Recursion Theory by Richard Alan Platek. Download full books in PDF and EPUB format.
Author: Richard Alan Platek
Publisher:
ISBN:
Category : Recursive functions
Languages : en
Pages : 215
Get Book Here
Book Description
Author: Richard Alan Platek
Publisher:
ISBN:
Category : Recursive functions
Languages : en
Pages : 215
Get Book Here
Book Description
Author: Piergiorgio Odifreddi
Publisher:
ISBN: 9780444589439
Category : Recursion theory
Languages : en
Pages : 668
Get Book Here
Book Description
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: Narcisco Martino Lopes Garcia
Publisher:
ISBN:
Category :
Languages : en
Pages : 321
Get Book Here
Book Description
Author: Melvin Fitting
Publisher: Elsevier
ISBN: 0444861718
Category : Recursion theory
Languages : en
Pages : 329
Get Book Here
Book Description
Provability, Computability and Reflection.
Author: Kenneth Kunen
Publisher:
ISBN: 9781904987147
Category : Mathematics
Languages : en
Pages : 251
Get Book Here
Book Description
Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
Author: Richard A. Platek
Publisher:
ISBN:
Category :
Languages : en
Pages : 215
Get Book Here
Book Description
Author: N. M. L. Garcia
Publisher:
ISBN:
Category : Iterative methods (Mathematics)
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Raymond M. Smullyan
Publisher: Oxford University Press
ISBN: 0195344812
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Author: Grzegorz Michalski
Publisher:
ISBN:
Category :
Languages : en
Pages : 122
Get Book Here
Book Description
