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

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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

edited by J. Diller and G.H. Müller

(Lecture notes in mathematics, 500)

Springer-Verlag, 1975

  • : gw
  • : u.s.

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Proof Theory Symposion

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Includes bibliographies

Description and Table of Contents

Table of Contents

Verzeichnis der Publikationen von Kurt Schutte.- 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 Schutte.- 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 fur ?-Kalkule mit Unendlich Langen Termen.- UEber Skolemerweiterungen in der Intuitionistichen Logik mit Gleichheit.- Eine Variante des Bezeichnungssystems W(X) fur 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.

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