Abstract Kleisli Structures on 2-categories*

Adrian Miranda

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Führmann introduced Abstract Kleisli structures to model call-by-value programming languages with side effects, and showed that they correspond to monads satisfying a certain equalising condition on the unit. We first extend this theory to non-strict morphisms of monads, and to incorporate 2-cells of monads. We then further extend this to a theory of abstract Kleisli structures on 2-categories,
characterising when the original pseudomonad can be recovered by the abstract Kleisli structure on its 2-category of free-pseudoalgebras.
Original languageEnglish
Title of host publicationElectronic Proceedings in Theoretical Computer Science
Publication statusAccepted/In press - 6 May 2024

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