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An Introduction to Proof Theory
- Normalization, Cut-Elimination, and Consistency Proofs
Engelsk Paperback
An Introduction to Proof Theory
- Normalization, Cut-Elimination, and Consistency Proofs
Engelsk Paperback

328 kr
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Om denne bog
An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader''s understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen''s consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach''s introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.
Product detaljer
Sprog:
Engelsk
Sider:
432
ISBN-13:
9780192895943
Indbinding:
Paperback
Udgave:
ISBN-10:
019289594X
Kategori:
Udg. Dato:
17 aug 2021
Længde:
26mm
Bredde:
233mm
Højde:
157mm
Forlag:
Oxford University Press
Oplagsdato:
17 aug 2021
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