ContT is:exact

The continuation monad transformer. Can be used to add continuation handling to any type constructor: the Monad instance and most of the operations do not require m to be a monad. ContT is not a functor on the category of monads, and many operations cannot be lifted through it.
The continuation monad transformer. Can be used to add continuation handling to any type constructor: the Monad instance and most of the operations do not require m to be a monad. ContT is not a functor on the category of monads, and many operations cannot be lifted through it. ContT r m is strict if and only if m is.
The continuation monad transformer. Can be used to add continuation handling to any type constructor: the Monad instance and most of the operations do not require m to be a monad. ContT is not a functor on the category of monads, and many operations cannot be lifted through it.