@article{abel_bernardy_2020, author = {Abel, Andreas and Bernardy, Jean-Philippe}, title = {A unified view of modalities in type systems}, year = {2020}, issue_date = {August 2020}, publisher = {Association for Computing Machinery}, address = {New York, NY, USA}, volume = {4}, number = {ICFP}, url = {https://doi.org/10.1145/3408972}, doi = {10.1145/3408972}, abstract = {We propose to unify the treatment of a broad range of modalities in typed lambda calculi. We do so by defining a generic structure of modalities, and show that this structure arises naturally from the structure of intuitionistic logic, and as such finds instances in a wide range of type systems previously described in literature. Despite this generality, this structure has a rich metatheory, which we expose.}, journal = {Proc. ACM Program. Lang.}, month = aug, articleno = {90}, numpages = {28}, keywords = {subtyping, modal logic, linear types} }