A shallow sequent calculus for FIK is introduced, shown cut-admissible, and used to prove EXPSPACE decidability, improving on the non-elementary conjecture for IK.
Odintsov & Heinrich Wansing (2008): Inconsistency-tolerant description logic
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Taming Complexity in Intuitionistic Modal Logic: The Case of FIK and Its Shallow Calculus
A shallow sequent calculus for FIK is introduced, shown cut-admissible, and used to prove EXPSPACE decidability, improving on the non-elementary conjecture for IK.