Recursion Theory for Metamathematics

by Smullyan, Raymond M.

• ISBN13: 9780195082326
• ISBN10: 019508232X
• Format: Hardcover
• Copyright: 1993-01-28
• Publisher: Oxford University Press

Summary

This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics ofincompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.

Table of Contents

Recursive Enumerability and Recursivity

Undecidability and Recursive Inseparability

Indexing

Generative Sets and Creative Systems

Double Generativity and Complete Effective Inseparability

Universal and Doubly Universal Systems

Shepherdson Revisited

Recursion Theorems

Symmetric and Double Recursion Theorems

Productivity and Double Productivity

Three Special Topics

Uniform Godelization

Table of Contents provided by Publisher. All Rights Reserved.