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Failure of Interpolation in Constant Domain Intuitionistic Logic

Published online by Cambridge University Press:  12 March 2014

Grigori Mints ,
Grigory Olkhovikov  and
Alasdair Urquhart
Grigori Mints
Affiliation:
Department of Philosophy, Stanford University, Stanford, CA, 94305, USA, E-mail: gmints@stanford.edu
Grigory Olkhovikov
Affiliation:
Department of Philosophy, Ural Federal University, Ekaterinburg 620083, Russia, E-mail: grigory.olkhovikov@usu.ru
Alasdair Urquhart
Affiliation:
Department of Computer Science, University of Toronto, Toronto, Ontario, M5S 1A1, Canada, E-mail: urquhart@cs.toronto.edu
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Abstract

This paper shows that the interpolation theorem fails in the intuitionistic logic of constant domains. This result refutes two previously published claims that the interpolation property holds.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 3 , September 2013 , pp. 937 - 950
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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