Notions of computation and monads
Information and Computation
Information and Computation
A modal analysis of staged computation
Journal of the ACM (JACM)
Categorical and Kripke Semantics for Constructive S4 Modal Logic
CSL '01 Proceedings of the 15th International Workshop on Computer Science Logic
A judgmental reconstruction of modal logic
Mathematical Structures in Computer Science
Computational types from a logical perspective
Journal of Functional Programming
Davidson and Reiter on Actions
Fundamenta Informaticae - Logic for Pragmatics
Modular Sequent Systems for Modal Logic
TABLEAUX '09 Proceedings of the 18th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Natural deduction and context as (constructive) modality
CONTEXT'03 Proceedings of the 4th international and interdisciplinary conference on Modeling and using context
Constructive Description Logics Hybrid-Style
Electronic Notes in Theoretical Computer Science (ENTCS)
Cut-free Gentzen calculus for multimodal CK
Information and Computation
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We investigate an embedding of CK natural deduction proofs into IK natural deduction proofs. CK and IK can both be regarded as intuitionistic analogs of the basic classical modal logic K. Since, in general, the proof theory of these logics is given by means of quite different techniques the embedding can be considered as an attempt to reconcile these two approaches. Further, we show that the embedding naturally extends to the case of CS4 and IS4, and propose a framework that allows one to obtain a modular approach for all the intermediate systems.