This paper is a submission to the contest: How to combine logics? at the
World Congress and School on Universal Logic III, 2010. We claim that combining
"things", whatever these things are, is made easier if these things can be seen
as the objects of a category. We define the category of diagrammatic logics, so
that categorical constructions can be used for combining diagrammatic logics.
As an example, a combination of logics using an opfibration is presented, in
order to study computational side-effects due to the evolution of the state
during the execution of an imperative program
