04051nam 2200673 a 450 991095649180332120240313234647.03-86838-087-63-11-032490-310.1515/9783110324907(CKB)2550000001097093(EBL)1215583(OCoLC)851972130(SSID)ssj0000801459(PQKBManifestationID)11440770(PQKBTitleCode)TC0000801459(PQKBWorkID)10793570(PQKB)11524292(DE-B1597)211281(OCoLC)853268803(OCoLC)978589469(DE-B1597)9783110324907(Au-PeEL)EBL1215583(CaPaEBR)ebr10728776(CaONFJC)MIL503627(Perlego)652104(MiAaPQ)EBC1215583(EXLCZ)99255000000109709320130717d2010 uy 0engur|n|---|||||txtccrWays of proof theory /Ralf Schindler (ed.)1st ed.Frankfurt ;New Brunswick Ontos Verlag20101 online resource (495 p.)Ontos Mathematical Logic ;2Ontos mathematical logic ;v. 2Description based upon print version of record.3-11-032452-0 1-299-72376-4 Includes bibliographical references. Frontmatter -- Preface -- Contents -- Wolfram Pohlers-Life and Work / Diller, Justus -- The Proof Theory of Classical and Constructive Inductive Definitions. A Forty Year Saga, 1968 - 2008 / Feferman, Solomon -- A New Approach to Predicative Set Theory / Avron, Arnon -- Characterising Definable Search Problems in Bounded Arithmetic via Proof Notations / Beckmann, Arnold / Buss, Samuel R. -- On Topological Models of GLP / Beklemishev, Lev / Bezhanishvili, Guram / Icard, Thomas -- Program Extraction via Typed Realisability for Induction and Coinduction / Berger, Ulrich / Seisenberger, Monika -- Another Reduction of Classical IDν to Constructive IDiν / Buchholz, Wilfried -- Elementary Constructive Operational Set Theory / Cantini, Andrea / Crosilla, Laura -- Functional Interpretations of Classical Systems / Diller, Justus -- Towards a Formal Theory of Computability / Huber, Simon / Karádais, Basil A. / Schwichtenberg, Helmut -- Σ11 Choice in a Theory of Sets and Classes / Jäger, Gerhard / Krähenbühl, Jürg -- An Extended Predicative Definition of the Mahlo Universe / Kahle, Reinhard / Setzer, Anton -- ITTMs with Feedback / Lubarsky, Robert S. -- Logspace without Bounds / Oitavem, Isabel -- Investigations of Subsystems of Second Order Arithmetic and Set Theory in Strength between Π11 -CA and Δ12 -CA + BI: Part I / Rathjen, Michael -- Weak Theories of Operations and Types / Strahm, Thomas -- Computing Bounds from Arithmetical Proofs / Wainer, Stanley S. -- BackmatterOn the occasion of the retirement of Wolfram Pohlers the Institut für Mathematische Logik und Grundlagenforschung of the University of Münster organized a colloquium and a workshop which took place July 17 - 19, 2008. This event brought together proof theorists from many parts of the world who have been acting as teachers, students and collaborators of Wolfram Pohlers and who have been shaping the field of proof theory over the years. The present volume collects papers by the speakers of the colloquium and workshop; and they produce a documentation of the state of the art of contemporary proofOntos Mathematical LogicProof theoryProof theory.511.3Schindler Ralf524636Schindler Ralf, MiAaPQMiAaPQMiAaPQBOOK9910956491803321Ways of proof theory4446905UNINA