Introduction to higher order categorical logic
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Proceedings of the Fourth Annual Symposium on Logic in computer science
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JSAI-isAI'09 Proceedings of the 2009 international conference on New frontiers in artificial intelligence
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JSAI-isAI'12 Proceedings of the 2012 international conference on New Frontiers in Artificial Intelligence
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The notion of monads originates in homological algebra and category theory: a monad in a category $\mathcal C$ is a triple $\langle{\boldsymbol{T},\eta,\mu}\rangle$ that consists of a functor $\boldsymbol{T}:$ $\mathcal C$ $\longrightarrow $ $\mathcal C$ and two natural transformations: such that the following diagrams commute for any object A in $\mathcal C$.