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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.

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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