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Notions of Computation Determine Monads Export

In Foundations of Software Science and Computation Structure (2002), pp. 342-356.

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monadic-translators monads

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We model notions of computation using algebraic operations and equations. We show that these generate several of the monads of primary interest that have been used to model computational e#ects, with the striking omission of the continuations monad. We focus on semantics for global and local state, showing that taking operations and equations as primitive yields a mathematical relationship that reflects their computational relationship.


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