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Gödel's Dialectica interpretation and its two-way stretch

https://doi.org/10.1007/bfb0022549
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-94-017-6613-5_16openalex-snapshot
Philosophia Naturalis
inferredcites →https://doi.org/10.1007/bf01206605openalex-snapshot
Über das Unendliche
inferredcites →https://doi.org/10.1007/bf01565428openalex-snapshot
Die Widerspruchsfreiheit der reinen Zahlentheorie
inferredcites →https://doi.org/10.1007/bf01621477openalex-snapshot
Herbrand analyses
inferredcites →https://doi.org/10.1007/bf01699094openalex-snapshot
Ergebnisse eines mathematischen Kolloquiums
inferredcites →https://doi.org/10.1007/bfb0091896openalex-snapshot
Proof theoretic equivalences between classical and constructive theories for analysis
inferredcites →https://doi.org/10.1016/0168-0072(85)90030-2openalex-snapshot
Fragments of arithmetic
inferredcites →https://doi.org/10.1016/0168-0072(93)90044-eopenalex-snapshot
Functional interpretations of feasibly constructive arithmetic
inferredcites →https://doi.org/10.1016/s0049-237x(08)70745-6openalex-snapshot
A Theory of Constructions Equivalent to Arithmetic
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Theories of Finite Type Related to Mathematical Practice
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Foundations of Intuitionistic Logic
inferredcites →https://doi.org/10.1017/s0022481200028310openalex-snapshot
Hilbert's program relativized; Proof-theoretical and foundational reductions
inferredcites →https://doi.org/10.1017/s0022481200100581openalex-snapshot
On the Interpretation of Non-Finitist Proofs--Part I
inferredcites →https://doi.org/10.1017/s0025557200021884openalex-snapshot
Compositio Mathematica
inferredcites →https://doi.org/10.1090/pspum/005openalex-snapshot
Recursive Function Theory
inferredcites →https://doi.org/10.1093/oso/9780195080308.003.0007openalex-snapshot
Kurt Godel: Conviction and Caution
inferredcites →https://doi.org/10.1093/oso/9780195147216.003.0022openalex-snapshot
On an extension of finitary mathematics which has not yet been used (1972)
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Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes
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Logic, Methodology and Philosophy of Science.
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On the interpretation of non-finitist proofs–Part II
inferredcites →https://doi.org/10.2307/2273043openalex-snapshot
The faithfulness of the interpretation of arithmetic in the theory of constructions
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Choice principles, the bar rule and autonomously iterated comprehension schemes in analysis
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Handbook of mathematical logic, edited by Jon Barwise with the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis, and A. S. Troelstra, Studies in logic and the foundations of mathematics, vol. 90, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978 (© 1977), xi + 1165…

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-10031-9_11openalex-snapshot
Gödel and Intuitionism
inferred← citeshttps://doi.org/10.1007/978-3-662-21963-8_4openalex-snapshot
Kurt Gödel and the constructive Mathematics of A.A. Markov
inferred← citeshttps://doi.org/10.1007/978-94-017-9217-2_7openalex-snapshot
Gödel and Intuitionism
inferred← citeshttps://doi.org/10.1007/s11787-010-0019-9openalex-snapshot
Human Rationality Challenges Universal Logic
inferred← citeshttps://doi.org/10.1016/j.apal.2019.04.001openalex-snapshot
Equivalence of bar induction and bar recursion for continuous functions with continuous moduli
inferred← citeshttps://doi.org/10.1016/s0049-237x(98)80020-7openalex-snapshot
Gödel’s Functional (“Dialectica”) Interpretation
inferred← citeshttps://doi.org/10.1016/s0168-0072(01)00074-4openalex-snapshot
Logical problems of functional interpretations
inferred← citeshttps://doi.org/10.1016/s0304-3975(98)00291-6openalex-snapshot
Markov's constructive analysis; a participant's view
inferred← citeshttps://doi.org/10.1016/s1874-5857(09)70014-7openalex-snapshot
Gödel's Logic
inferred← citeshttps://doi.org/10.1109/lics.2004.1319627openalex-snapshot
A computational interpretation of open induction
inferred← citeshttps://doi.org/10.1109/lics.2004.2openalex-snapshot
A computational interpretation of open induction
inferred← citeshttps://doi.org/10.1111/j.1746-8361.2008.01133.xopenalex-snapshot
Functional Interpretations of Constructive Set Theory in All Finite Types
inferred← citeshttps://doi.org/10.1111/j.1746-8361.2008.01135.xopenalex-snapshot
An Analysis of Gödel's Dialectica Interpretation via Linear Logic
inferred← citeshttps://doi.org/10.1111/j.1746-8361.2008.01143.xopenalex-snapshot
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