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The bounded functional interpretation of the double negation shift

Published online by Cambridge University Press:  12 March 2014

Engrácia Patrícia  and
Fernando Ferreira
Engrácia Patrícia
Affiliation:
Departamento De Matemática, Universidade De Lisboa, Lisboa, Portugal. E-mail: p.engracia@gmail.com
Fernando Ferreira
Affiliation:
Departamento De Matemática, Universidade De Lisboa, Lisboa, Portugal. E-mail: ferferr@cii.fc.ul.pt
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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 functional 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 2 , June 2010 , pp. 759 - 773
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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