A variant of the double-negation translation

Abstract

An efficient variant of the double-negation translation explains the relationship between Shoenfield’s and G¨odel’s versions of the Dialectica interpretation.

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Jeremy Avigad
Carnegie Mellon University

Citations of this work

Functional interpretation and inductive definitions.Jeremy Avigad & Henry Towsner - 2009 - Journal of Symbolic Logic 74 (4):1100-1120.
Factorization of the Shoenfield-like Bounded Functional Interpretation.Jaime Gaspar - 2009 - Notre Dame Journal of Formal Logic 50 (1):53-60.
Delimited control operators prove Double-negation Shift.Danko Ilik - 2012 - Annals of Pure and Applied Logic 163 (11):1549-1559.

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