NDLI: A Semantic Version of the Diller-Nahm Variant of Gödel’s Dialectica Interpretation

Content Provider	Semantic Scholar
Author	Streicher, Thomas
Copyright Year	2000
Abstract	According to Gödel’s original Dialectica Interpretation from 1958 a proposition is a pair of types X and Y together with a decidable relation R ⊆ X×Y between them. For our purposes we assume that types are subsets of N and (constructive) functionals between them are total recursive functions between sets of natural numbers. Entailment between propositions (X, Y,R) and (U, V, S) is given by a pair of (constructive) functionals f : X → U and g : X × V → Y such that
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.mathematik.tu-darmstadt.de/~streicher/Dial.pdf
Alternate Webpage(s)	http://www.mathematik.tu-darmstadt.de/~streicher/Dial.pdf.gz
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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