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MARKOV’S PRINCIPLE AND SUBSYSTEMS OF INTUITIONISTIC ANALYSIS

Published online by Cambridge University Press:  26 February 2019

JOAN RAND MOSCHOVAKIS
JOAN RAND MOSCHOVAKIS*
Affiliation:
PROF. EMERITA OF MATHEMATICS, OCCIDENTAL COLLEGE 721 24TH STREET SANTA MONICA, CA90402, USA E-mail: [email protected]: https://www.math.ucla.edu/∼joan/
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Abstract

Using a technique developed by Coquand and Hofmann [3] we verify that adding the analytical form MP1: $\forall \alpha (\neg \neg \exists {\rm{x}}\alpha ({\rm{x}}) = 0 \to \exists {\rm{x}}\alpha ({\rm{x}}) = 0)$ of Markov’s Principle does not increase the class of ${\rm{\Pi }}_2^0$ formulas provable in Kleene and Vesley’s formal system for intuitionistic analysis, or in subsystems obtained by omitting or restricting various axiom schemas in specified ways.

Keywords

03F5003F55Markov’s principleconservativityintuitionistic analysis
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 2 , June 2019 , pp. 870 - 876
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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