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Section: New Results

Proof Theory of Indexed Nested Sequents

Participants : Lutz Straßburger, Sonia Marin.

Indexed nested sequents are an extension of nested sequents allowing a richer underlying graph-structure that goes beyond the plain tree-structure of pure nested sequents. For this reason they can be used to give deductive systems to modal logics which cannot be captured by pure nested sequents. In this work we show how the standard cut-elimination procedure for nested sequents can be extended to indexed nested sequents, and we discuss how indexed nested sequents can be used for intuitionistic modal logics. These results have been presented at the TABLEAUX 2017 conference [24], [35]