> On the other hand I'd rather like a
> "partial" monad instead of "maybe" (which usually means a single terminal 
> symbol
> "failed"), that is a product type M(T)=T x Q, where Q is a monoid, such that 
> the
> Kleisli composition evaluates the two programs in sequence and combines their 
> Q
> output. Example: Q=(String, conctenation).

That would be a little like Haskell's IO Monad, because it concatenates string
one by one, useful for logging, for example.  That can be considered.

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