Modularisation of Sequent Calculi for Normal and Non-normal Modalities [article]

Björn Lellmann, Elaine Pimentel
2017 arXiv   pre-print
In this work we explore the connections between (linear) nested sequent calculi and ordinary sequent calculi for normal and non-normal modal logics. By proposing local versions to ordinary sequent rules we obtain linear nested sequent calculi for a number of logics, including to our knowledge the first nested sequent calculi for a large class of simply dependent multimodal logics, and for many standard non-normal modal logics. The resulting systems are modular and have separate left and right
more » ... troduction rules for the modalities, which makes them amenable to specification as bipole clauses. While this granulation of the sequent rules introduces more choices for proof search, we show how linear nested sequent calculi can be restricted to blocked derivations, which directly correspond to ordinary sequent derivations.
arXiv:1702.08193v2 fatcat:axenvawjrfhtzmphlp5clbhdcq