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000734362 019__ $$a929050748
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000734362 020__ $$z9783319101026
000734362 0247_ $$a10.1007/978-3-319-10103-3$$2doi
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000734362 035__ $$aSP(OCoLC)928384591$$z(OCoLC)929050748
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000734362 08204 $$a511.3$$223
000734362 24510 $$aGentzen's centenary$$h[electronic resource] :$$bthe quest for consistency /$$cReinhard Kahle, Michael Rathjen, editors.
000734362 264_1 $$aCham :$$bSpringer Science and Business Media,$$c2015.
000734362 300__ $$a1 online resource (x, 561 pages)
000734362 336__ $$atext$$btxt$$2rdacontent
000734362 337__ $$acomputer$$bc$$2rdamedia
000734362 338__ $$aonline resource$$bcr$$2rdacarrier
000734362 504__ $$aIncludes bibliographical references.
000734362 5050_ $$aPreface -- In Memoriam: Grigori Mints -- Part I: Reflections -- 1. Reinhard Kahle: Gentzen's Consistency Proof in Context -- 2. Michael Detlefsen: Gentzen's Anti-Formalist Views -- 3. Anton Setzer: The Use of Trustworthy Principles in a Revised Hilbert's Program -- Part II: Gentzen's Consistency Proof -- 4. Wilfried Buchholz: On Gentzen's first consistency proof for arithmetic -- 5. Jan von Plato: From \emph{Hauptsatz} to \emph{Hilfssatz} (with an appendix by Siders/von Plato) -- 6. Dag Prawitz: Extending Gentzen's 2nd consistency proof to normalization of natural deductions in 1st order arithmetic -- 7. Annika Siders: A Direct Gentzen-style Consistency Proof for Heyting Arithmetic -- 8. W. W. Tait: Gentzen's original consistency proof and the Bar Theorem -- Part III: Results -- 9. Sam Buss: Cut Elimination \emph{In Situ} -- 10. Fernando Ferreira: Spector's proof of the consistency of analysis -- 11. Herman Jervell: Climbing Mount $\varepsilon_0$ -- 12. Wolfram Pohlers: Semi-formal calculi and their applications -- Part IV: Developments -- 13. Toshiyasu Arai: Proof Theory for Theories of Ordinals III: $\Pi_{N}$-Reflection -- 14. Gerhard Jäger and Dieter Probst: A proof-theoretic analysis of theories for stratified inductive definitions -- 15. Frederik Meskens and Andreas Weiermann: Classifying phase transition thresholds for Goodstein sequences and Hydra games -- 16. Grigori Mints: Non-Deterministic Epsilon Substitution Method for $\mathsf{PA}$ and $\mathsf{ID}_1$ -- 17. Paulo Oliva and Thomas Powell: A Game-Theoretic Computational Interpretation of Proofs in Classical Analysis -- 18. Michael Rathjen and Pedro Francisco Valencia Vizcaíno: Well ordering principles and Bar induction.
000734362 506__ $$aAccess limited to authorized users.
000734362 60010 $$aGentzen, Gerhard.
000734362 650_0 $$aProof theory.
000734362 7001_ $$aKahle, Reinhard,$$eeditor.
000734362 7001_ $$aRathjen, Michael,$$eeditor.
000734362 77608 $$iPrint version:$$z9783319101026
000734362 85280 $$bebk$$hSpringerLink
000734362 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-10103-3$$zOnline Access$$91397441.1
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000734362 980__ $$aBIB
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