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Wagner De Campos Sanz, A Note on Gentzen's LJ and NJ Systems Isomorphism, Logic Journal of the IGPL, Volume 15, Issue 5-6, October 2007, Pages 767–774, https://doi.org/10.1093/jigpal/jzm048
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Abstract
In this paper we are going to examine intuitionistic sequent calculus and its negation rules. We state new negation rules defining, in this way, a new sequent system. It will be used to clarify Gentzen's NJ and LJ systems isomorphism. These new negation rules are a direct reading of new natural deduction negation rules obtained by a slight modification of NJ rules. We also show that the new system is equivalent to LJ and that the Hauptsatz holds for it.
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