Algebras for Parameterised Monads

Abstract. Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the EilenbergMoore category of algebras for parameterised monads and prove a generalisation of Beck’s theorem characterising this category. We demonstrate an application of this theory to the semantics of type and effect systems.

• Type: Conference
• Year: 2009
• Where: CALCO
• Authors: Robert Atkey
• Keywords: Algebras, CALCO 2009, EilenbergMoore Category, Mathematics, Parameterised Monads