Journal of Symbolic Logic

Strong cut-elimination in sequent calculus using Klop’s ι-translation and perpetual reductions

Morten Heine Sørensen and Paweł Urzyczyn

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


There is a simple technique, due to Dragalin, for proving strong cut-elimination for intuitionistic sequent calculus, but the technique is constrained to certain choices of reduction rules, preventing equally natural alternatives. We consider such a natural, alternative set of reduction rules and show that the classical technique is inapplicable. Instead we develop another approach combining two of our favorite tools—Klop’s ι-translation and perpetual reductions. These tools are of independent interest and have proved useful in a variety of settings; it is therefore natural to investigate, as we do here, what they have to offer the field of sequent calculus.

Article information

J. Symbolic Logic, Volume 73, Issue 3 (2008), 919-932.

First available in Project Euclid: 27 December 2008

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Heine Sørensen, Morten; Urzyczyn, Paweł. Strong cut-elimination in sequent calculus using Klop’s ι-translation and perpetual reductions. J. Symbolic Logic 73 (2008), no. 3, 919--932. doi:10.2178/jsl/1230396755.

Export citation