Rooted Hypersequent Calculus for Modal Logic S5

Published 22 May 2019 in math.LO | (1905.09039v1)

Abstract: We present a rooted hypersequent calculus for modal propositional logic S5. We show that all rules of this calculus are invertible and that the rules of weakening, contraction, and cut are admissible. Soundness and completeness are established as well.

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