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Proof normalization modulo

Published online by Cambridge University Press:  12 March 2014

Gilles Dowek  and
Benjamin Werner
Gilles Dowek
Affiliation:
École Polytechnique and Inria, Lix, École Polytechnique, 91128 Palaiseau Cedex, France, E-mail: Gilles.Dowek@polytechnique.fr, URL: http://www.lix.polytechnique.fr/~dowek/
Benjamin Werner
Affiliation:
École Polytechnique and Inria, Lix, École Polytechnique, 91128 Palaiseau Cedex, France, E-mail: Benjamin.Werner@polytechnique.fr, URL: http://www.lix.polytechnique.fr/~werner/
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Abstract

We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theories having a so-called pre-model. As a corollary, we retrieve cut elimination for several axiomatic theories, including Church's simple type theory.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 4 , December 2003 , pp. 1289 - 1316
Copyright
Copyright © Association for Symbolic Logic 2003

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