ISILC - Proof Theory Symposion - Dedicated to Kurt Schütte on the Occasion of His 65th Birthday. Proceedings of the International Summer Institute and Logic Colloquium, Kiel 1974

List of contents

Verzeichnis der Publikationen von Kurt Schütte.- Normalfunktionen und Konstruktive Systeme von Ordinalzahlen.- Sound functors.- A study of generalized standardization in combinatory logic.- Intensionale Funktionalinterpretation der Analysis.- Non-extensional type-free theories of partial operations and classifications, I.- Kombinatorische Konstruktionen mit Beweisen und Schnittelimination.- Calculability of the primitive recursive functionals of finite type over the natural numbers.- Observations on a recent generalization of completeness theorems due to Schütte.- Strong normalization for arithmetic.- Intuitionistic completeness of a restricted second-order logic.- The real elements in a consistency proof for simple type theory I.- Church Rosser Theorem für ?-Kalküle mit Unendlich Langen Termen.- Über Skolemerweiterungen in der Intuitionistichen Logik mit Gleichheit.- Eine Variante des Bezeichnungssystems W(X) für Ordinalzahlen.- An upper bound for the provability of transfinite induction in systems with N-times iterated inductive definitions.- Comments on gentzen-type procedures and the classical notion of truth.- Bemerkungen zu Regel und Schema.- Infinite terms and recursion in higher types.- Consistency proofs and ordinals.- Markov's principle and Markov's rule for theores of choice sequences.

Product details

• Assisted by: J. Diller (Editor), G. H. Müller (Editor), G.H. Müller (Editor)
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Paperback / Softback
• Released: 25.06.2009
• EAN: 9783540075332
• ISBN: 978-3-540-07533-2
• No. of pages: 390
• Weight: 628 g
• Illustrations: CD, 390 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles