Recursion Theory for Metamathematics

Hardcover | August 1, 1988

byRaymond M. Smullyan

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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.

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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...

Raymond M. Smullyan is at Indiana University.

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Format:HardcoverDimensions:184 pages, 9.29 × 6.18 × 0.79 inPublished:August 1, 1988Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019508232X

ISBN - 13:9780195082326

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Table of Contents

1. Recursive Enumerability and Recursivity2. Undecidability and Recursive Inseparability3. Indexing4. Generative Sets and Creative Systems5. Double Generativity and Complete Effective Inseparability6. Universal and Doubly Universal Systems7. Shepherdson Revisited8. Recursion Theorems9. Symmetric and Double Recursion Theorems10. Productivity and Double Productivity11. Three Special Topics12. Uniform Godelization

Editorial Reviews

". . . an interesting presentation of recursion theory from the point of view of its applications in metamathematics, indicating many interrelations between various notions and properties. It will certainly be studied carefully and referred to by students and specialists alike." --RomanMurawski, Mathematical Reviews