We introduce coexponentials, a new set of modalities for Classical Linear Logic. As duals to exponentials, the coexponentials codify a distributed form of the structural rules of weakening and contraction. This makes them a suitable logical device for encapsulating the pattern of a server receiving requests from an arbitrary number of clients on a single channel. Guided by this intuition we formulate a system of session types based on Classical Linear Logic with coexponentials, which is suited to modelling client-server interactions. We also present a session-typed functional programming language for client-server programming, which we translate to our system of coexponentials.

@article{paperbot1111,
  title = {Client-server sessions in linear logic},
  author = {Zesen Qian and G. A. Kavvos and Lars Birkedal},
  journal = {Proceedings of the ACM on Programming Languages},
  volume = {5},
  number = {ICFP},
  year = {2021},
  doi = {10.1145/3473567}
}