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Relative monads formalised

Altenkirch, Thorsten; Chapman, James; Uustalu, Tarmo

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James Chapman

Tarmo Uustalu


Relative monads are a generalisation of ordinary monads where the underlying functor need not be an endofunctor. In this paper, we describe a formalisation of the basic theory of relative monads in the interactive theorem prover and dependently typed programming language Agda. The formalisation comprises the requisite basic category theory, the central concepts of the theory of relative monads and adjunctions, which are compared to their ordinary counterparts, and two running examples from programming theory.

Journal Article Type Article
Publication Date Jan 1, 2014
Deposit Date Mar 2, 2015
Publicly Available Date Mar 2, 2015
Journal Journal of Formalized Reasoning
Electronic ISSN 1972-5787
Publisher Università di Bologna
Peer Reviewed Peer Reviewed
Volume 7
Issue 1
Public URL
Publisher URL


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