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Logic Journal of IGPL Advance Access originally published online on August 8, 2009
Logic Journal of IGPL 2009 17(5):489-497; doi:10.1093/jigpal/jzp022
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

This article appears in the following Logic Journal of the IGPL issue: Special Issue: Logical and Semantical Frameworks with Applications [View the issue table of contents]

On the convergence of reduction-based and model-based methods in proof theory

Gilles Dowek

École polytechnique and INRIA, LIX, École polytechnique, 91128 Palaiseau Cedex, France.
E-mail: gilles.dowek{at}polytechnique.edu


   Abstract

In the recent past, the reduction-based and the model-based methods to prove cut elimination have converged, so that they now appear just as two sides of the same coin. This paper details some of the steps of this transformation.

Key Words: Cut elimination • reducibility candidates • models • truth values algebras

Received for publication 14 May 2008.
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