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Monads, comonads and resource-limited computation

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If you have a question about this talk, please contact Johannes Bausch.

In this talk, I will introduce the notion of a (co)monad with examples from pure maths and computer science. I will then survey how these category-theoretic constructions have been used to model computation with limited resources in classical and quantum settings. In particular, I will demonstrate how a comonadic construction due to Abramsky, Dawar and Wang [1] gave an elegant representation of the “pebble game” from finite model theory and how this comonad structure led to some new and interesting questions for complexity theorists.

[1] Abramsky, S., Dawar, A., & Wang, P. (2017). The pebbling comonad in finite model theory.

This talk is part of the CQIF Seminar series.

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