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9783540693192 - Wolfram Pohlers: Proof Theory: The First Step into Impredicativity (Universitext)
Wolfram Pohlers

Proof Theory: The First Step into Impredicativity (Universitext) (2008)

Lieferung erfolgt aus/von: Deutschland EN NW EB DL

ISBN: 9783540693192 bzw. 354069319X, in Englisch, 374 Seiten, Springer, neu, E-Book, elektronischer Download.

Lieferung aus: Deutschland, E-Book zum Download, Versandkostenfrei.
The kernel of this book consists of a series of lectures on in?nitary proof theory which I gave during my time at the Westfalische ¨ Wilhelms–Universitat ¨ in Munster ¨ . It was planned as a successor of Springer Lecture Notes in Mathematics 1407. H- ever, when preparing it, I decided to also include material which has not been treated in SLN 1407. Since the appearance of SLN 1407 many innovations in the area of - dinal analysis have taken place. Just to mention those of them which are addressed in this book: Buchholz simpli?ed local predicativity by the invention of operator controlled derivations (cf. Chapter 9, Chapter 11); Weiermann detected applications of methods of impredicative proof theory to the characterization of the provable recursive functions of predicative theories (cf. Chapter 10); Beckmann improved Gentzen’s boundedness theorem (which appears as Stage Theorem (Theorem 6. 6. 1) in this book) to Theorem 6. 6. 9, a theorem which is very satisfying in itself - though its real importance lies in the ordinal analysis of systems, weaker than those treated here. Besides these innovations I also decided to include the analysis of the theory (? –REF) as an example of a subtheory of set theory whose ordinal analysis only 2 0 requires a "rst step into impredicativity. The ordinal analysis of(? –FXP) of non- 0 1 0 monotone" –de?nable inductive de?nitions in Chapter 13 is an application of the 1 analysis of(? –REF). Kindle Edition, Format: Kindle eBook, Label: Springer, Springer, Produktgruppe: eBooks, Publiziert: 2008-10-01, Freigegeben: 2008-10-01, Studio: Springer.
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9783540693192 - Wolfram Pohlers: Proof Theory
Wolfram Pohlers

Proof Theory

Lieferung erfolgt aus/von: Deutschland DE NW

ISBN: 9783540693192 bzw. 354069319X, in Deutsch, Springer Berlin Heidelberg, neu.

Lieferung aus: Deutschland, Bücher und alle Bestellungen die ein Buch enthalten sind versandkostenfrei, sonstige Bestellungen innerhalb Deutschland EUR 3,-, ab EUR 20,- kostenlos, Sofort per Download lieferbar.
This book on proof theory needs no previous knowledge of proof theory. Avoiding cryptic terminology as much as possible, it starts at an elementary level and displays the connections between infinitary proof theory and generalized recursion theory. The kernel of this book consists of a series of lectures on in?nitary proof theory which I gave during my time at the Westfalische ¨ WilhelmsUniversitat ¨ in Munster ¨ . It was planned as a successor of Springer Lecture Notes in Mathematics 1407. H- ever, when preparing it, I decided to also include material which has not been treated in SLN 1407. Since the appearance of SLN 1407 many innovations in the area of - dinal analysis have taken place. Just to mention those of them which are addressed in this book: Buchholz simpli?ed local predicativity by the invention of operator controlled derivations (cf. Chapter 9, Chapter 11); Weiermann detected applications of methods of impredicative proof theory to the characterization of the provable recursive functions of predicative theories (cf. Chapter 10); Beckmann improved Gentzens boundedness theorem (which appears as Stage Theorem (Theorem 6. 6. 1) in this book) to Theorem 6. 6. 9, a theorem which is very satisfying in itself - though its real importance lies in the ordinal analysis of systems, weaker than those treated here. Besides these innovations I also decided to include the analysis of the theory (? REF) as an example of a subtheory of set theory whose ordinal analysis only 2 0 requires a "rst step into impredicativity. The ordinal analysis of(? FXP) of non- 0 1 0 monotone" de?nable inductive de?nitions in Chapter 13 is an application of the 1 analysis of(? REF).
3
9783540693192 - Wolfram Pohlers: Proof Theory
Wolfram Pohlers

Proof Theory (2008)

Lieferung erfolgt aus/von: Deutschland DE NW EB DL

ISBN: 9783540693192 bzw. 354069319X, Band: 1407, in Deutsch, Springer, Berlin/Heidelberg, Deutschland, neu, E-Book, elektronischer Download.

Lieferung aus: Deutschland, Versandkostenfrei, Download.
This book verifies with compelling evidence the author’s inclination to 'write a book on proof theory which needs no previous knowledge of proof theory'. Avoiding the cryptic terminology of proof as far as possible, the book starts at an elementary level and displays the connections between infinitary proof theory and generalized recursion theory, especially the theory of inductive definitions. As a 'warm up' the classical analysis of Gentzen is presented in a more modern terminology to proceed with explaining and proving the famous result by Feferman and Schütte on the limits of predicativity. The author, too, provides an introduction to ordinal arithmetic, introduces the Veblen hierarchy and employs these functions to design an ordinal notation system for the ordinals below Epsilon 0 and Gamma 0, while emphasizing the first step into impredicativity, i.e., the first step beyond Gamma 0. An earlier version of this book was originally published in 1989 as volume 1407 of the Springer series 'Lecture Notes in Mathematics'.
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9783540693192 - Wolfram Pohlers: Proof Theory - The First Step into Impredicativity
Wolfram Pohlers

Proof Theory - The First Step into Impredicativity (1989)

Lieferung erfolgt aus/von: Deutschland ~DE NW EB DL

ISBN: 9783540693192 bzw. 354069319X, Band: 1407, vermutlich in Deutsch, Springer Berlin Heidelberg, neu, E-Book, elektronischer Download.

Lieferung aus: Deutschland, Versandkostenfrei.
Proof Theory: This book verifies with compelling evidence the authors inclination to &apos write a book on proof theory which needs no previous knowledge of proof theory&apos . Avoiding the cryptic terminology of proof as far as possible, the book starts at an elementary level and displays the connections between infinitary proof theory and generalized recursion theory, especially the theory of inductive definitions. As a &apos warm up&apos the classical analysis of Gentzen is presented in a more modern terminology to proceed with explaining and proving the famous result by Feferman and Schütte on the limits of predicativity. The author, too, provides an introduction to ordinal arithmetic, introduces the Veblen hierarchy and employs these functions to design an ordinal notation system for the ordinals below Epsilon 0 and Gamma 0, while emphasizing the first step into impredicativity, i.e., the first step beyond Gamma 0.An earlier version of this book was originally published in 1989 as volume 1407 of the Springer series &apos Lecture Notes in Mathematics&apos . Englisch, Ebook.
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9783540693192 - Proof Theory als eBook von Wolfram Pohlers

Proof Theory als eBook von Wolfram Pohlers

Lieferung erfolgt aus/von: Vereinigtes Königreich Großbritannien und Nordirland DE NW

ISBN: 9783540693192 bzw. 354069319X, in Deutsch, Springer Berlin Heidelberg, neu.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
Proof Theory ab 35.49 EURO The First Step into Impredicativity.
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9783540693192 - Proof Theory

Proof Theory

Lieferung erfolgt aus/von: Vereinigtes Königreich Großbritannien und Nordirland DE NW

ISBN: 9783540693192 bzw. 354069319X, in Deutsch, Springer, Berlin/Heidelberg, Deutschland, neu.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
Proof Theory ab 35.49 € als pdf eBook: The First Step into Impredicativity. Aus dem Bereich: eBooks, Wirtschaft,.
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