Journal of Symbolic Logic

The bounded functional interpretation of the double negation shift

Patrícia Engrácia and Fernando Ferreira

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Abstract

We prove that the (non-intuitionistic) law of the double negation shift has a bounded functional interpretation with bar recursive functionals of finite type. As an application, we show that full numerical comprehension is compatible with the uniformities introduced by the characteristic principles of the bounded functional interpretation for the classical case.

Article information

Source
J. Symbolic Logic, Volume 75, Issue 2 (2010), 759-773.

Dates
First available in Project Euclid: 18 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1268917503

Digital Object Identifier
doi:10.2178/jsl/1268917503

Mathematical Reviews number (MathSciNet)
MR2648164

Zentralblatt MATH identifier
1192.03038

Citation

Engrácia, Patrícia; Ferreira, Fernando. The bounded functional interpretation of the double negation shift. J. Symbolic Logic 75 (2010), no. 2, 759--773. doi:10.2178/jsl/1268917503. https://projecteuclid.org/euclid.jsl/1268917503


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