ENGLISH

Proof Theory: An Introduction (Lecture Notes in Mathematics, 1407)

By Wolfram Pohlers , Pohlers

Book information

Publisher
Springer
Year
1989
ISBN
3540518428, 9783540518426
Language
english
Format
PDF
Filesize
9 MB (9830506 bytes)
Pages
228\220
Time added
2024-04-23 02:02:22

Description

Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.

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