On categorical semantics for the exponential modality in linear logic:

- Nick Benton, Gavin Bierman, Valeria de Paiva, Martin Hyland,
*Linear $\lambda$-Calculus and Categorical Models Revisited*, in*Computer Science Logic. CSL 1992*, Lecture Notes in Computer Science**702**, Springer (1993) [doi:10.1007/3-540-56992-8_6]

and specifically as the comonad induced from an adjunction between ordinary types and linear types:

- Nick Benton,
*A mixed linear and non-linear logic: Proofs, terms and models*, in*Computer Science Logic. CSL 1994*, Lecture Notes in Computer Science**933**[doi:10.1007/BFb0022251, pdf]

On monads in computer science:

- Nick Benton,
*Categorical Monads and Computer Programming*, in:*Impact150: stories of the impact of mathematics*. London Mathematical Society (2015) [pdf, pdf, doi:10.1112/i150lms/t.0002]

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