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Justification logics are modal-like logics that provide a framework forreasoning about justifications. This paper introduces labeled sequent calculifor justification logics, as well as for hybrid modal-justification logics.Using the method due to Sara Negri, we internalize the Kripke-style semanticsof justification logics, known as Fitting models, within the syntax of thesequent calculus to produce labeled sequent calculus. We show that our labeledsequent calculi enjoy a weak subformula property, all of the rules areinvertible and the structural rules (weakening and contraction) and cut areadmissible. Finally soundness and completeness are established, and terminationof proof search for some of the labeled systems are shown. We describe aprocedure, for some of the labeled systems, which produces a derivation forvalid sequents and a countermodel for non-valid sequents. We also show a modelcorrespondence for justification logics in the context of labeled sequentcalculus.

Labeled Sequent Calculus and Countermodel Construction for Justification Logics