PP is not a monad

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• Bartek Klin, Warsaw University
• Tuesday 20 November 2018, 14:00-15:00
• FW26.

If you have a question about this talk, please contact Victor Gomes.

Correcting a persistent mistake from the literature, we prove that PP, the composition of the covariant powerset monad P with itself, does not admit any monad structure. The same applies to the n-fold composition of P for any n > 1. As a consequence, P does not have any distributive law over itself, and it motivates a search for sufficient conditions for a monad to have a distributive law over P.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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