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Recursion Theory for Metamathematics

Recursion Theory for Metamathematics by Raymond M. Smullyan
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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.
Oxford University Press; January 1993
180 pages; ISBN 9780195344813
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Title: Recursion Theory for Metamathematics
Author: Raymond M. Smullyan