Recursion Theory For Metamathematics
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Recursion Theory for Metamathematics
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 text 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.
Recursion Theory for Metamathematics
Author: Raymond M. Smullyan
language: en
Publisher: Oxford University Press
Release Date: 1993-01-28
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.
Higher Recursion Theory
Author: Gerald E. Sacks
language: en
Publisher: Cambridge University Press
Release Date: 2017-03-02
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.