We propose an extension of the Gentzen sequent calculus in order to deal with modalities. We extend the notion of a sequent, obtaining what we call a 2-sequent. For the calculus obtained we prove a cut elimination theorem.
2-sequent calculus: a proof theory of modalities
MASINI, Andrea
1992-01-01
Abstract
We propose an extension of the Gentzen sequent calculus in order to deal with modalities. We extend the notion of a sequent, obtaining what we call a 2-sequent. For the calculus obtained we prove a cut elimination theorem.
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