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2012-11-05 06:06 pm (UTC)
I suppose it could also be something like 1 -o a -o b; I don't know if those should be equivalent or have different meanings or what, though that's kind of how I've been thinking of the OI comonad. That kind of feels like a weakness of the model, though. In the original presentation, the type OI a meant a computation of type a that depends on state, so you'd use counit to actually force the computation and make all the effects happen. Maybe that's still a valid interpretation here; I'm not sure. I know that if you can get away with just using 1 everywhere, it would feel like a deficiency in the logic.
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