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Closed Fragments of Provability Logics of Constructive Theories

Published online by Cambridge University Press:  12 March 2014

Albert Visser
Albert Visser*
Affiliation:
Department of Philosophy, Faculty of Humanities, Utrecht University, Heidelberglaan 8, 3584 CS Utrecht, The Netherlands, E-mail: Albert.Visser@phil.uu.nl
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Abstract

In this paper we give a new proof of the characterization of the closed fragment of the provability logic of Heyting's Arithmetic. We also provide a characterization of the closed fragment of the provability logic of Heyting's Arithmetic plus Markov's Principle and Heyting's Arithmetic plus Primitive Recursive Markov's Principle.

Keywords

provability logicconstructive arithmetic
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 3 , September 2008 , pp. 1081 - 1096
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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