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Odel's dialectica interpretation and its two-way stretch
Abstract
In 1958, G¨ odel published in the journal Dialectica an interpretation of intuitionistic number theory in a quantifier-free theory of functionals of finite type; this subsequently came to be known as G¨ odel’s functional or Dialectica interpretation. The article itself was written in German for an issue of that journal in honor of Paul Bernays’ 70th birthday. In 1965, Bernays told G¨.Links
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Citations of this work
Human Rationality Challenges Universal Logic.Brian R. Gaines - 2010 - Logica Universalis 4 (2):163-205.
Constructivity and Computability in Historical and Philosophical Perspective.Jacques Dubucs & Michel Bourdeau (eds.) - 2014 - Dordrecht, Netherland: Springer.
References found in this work
Metamathematical investigation of intuitionistic arithmetic and analysis.Anne S. Troelstra - 1973 - New York,: Springer.
Die Widerspruchsfreiheit der reinen Zahlentheorie.Gerhard Gentzen - 1936 - Journal of Symbolic Logic 1 (2):75-75.
Hilbert's program relativized: Proof-theoretical and foundational reductions.Solomon Feferman - 1988 - Journal of Symbolic Logic 53 (2):364-384.
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