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Recursion Theory for Metamathematics
Language: en
Pages: 180
Authors: Raymond M. Smullyan
Categories: Computers
Type: BOOK - Published: 1993 - Publisher: Oxford University Press, USA

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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 theo
Higher Recursion Theory
Language: en
Pages: 361
Authors: Gerald E. Sacks
Categories: Computers
Type: BOOK - Published: 2017-03-02 - Publisher: Cambridge University Press

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This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Diagonalization and Self-reference
Language: en
Pages: 0
Authors: Raymond M. Smullyan
Categories: Language Arts & Disciplines
Type: BOOK - Published: 1994 - Publisher: Oxford Logic Guides

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The main purpose of this book is to present a unified treatment of fixed points as they occur in Godel's incompleteness proofs, recursion theory, combinatory lo
Metamathematics of First-Order Arithmetic
Language: en
Pages: 475
Authors: Petr Hájek
Categories: Mathematics
Type: BOOK - Published: 2017-03-02 - Publisher: Cambridge University Press

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A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Metamath: A Computer Language for Mathematical Proofs
Language: en
Pages: 250
Authors: Norman Megill
Categories: Computers
Type: BOOK - Published: 2019 - Publisher: Lulu.com

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Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple a