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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Taschenbuch. Zustand: Neu. Proof Theory | The First Step into Impredicativity | Wolfram Pohlers | Taschenbuch | xiv | Englisch | 2008 | Springer | EAN 9783540693185 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Proof Theory | An Introduction | Wolfram Pohlers | Taschenbuch | Lecture Notes in Mathematics | viii | Englisch | 1989 | Springer | EAN 9783540518426 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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).

gr.-8°, 193 S., OPp., mit einigen Randverm., insges. sehr sauber und gut. (= Handbuch der Informatik Bd. 1.5).