@article {2023, title = {How to Kill Epsilons with a Dagger - A Coalgebraic Take on Systems with Algebraic Label Structure}, year = {2014}, month = {June}, institution = {HASLab/INESC TEC \& University of Minho}, address = {Braga, Portugal}, abstract = {

We propose an abstract framework for modeling state-based systems with internal behavior as e.g. given by silent or ϵ-transitions. Our approach employs monads with a parametrized fixpoint operator {\textdagger} to give a semantics to those systems and implement a sound procedure of abstraction of the internal transitions, whose labels are seen as the unit of a free monoid. More broadly, our approach extends the standard coalgebraic framework for state-based systems by taking into account the algebraic structure of the labels of their transitions. This allows to consider a wide range of other examples, including Mazurkiewicz traces for concurrent systems.

}, issn = {CoRR abs/ 1402.4062}, author = {Alexandra Silva and Filippo Bonchi and Stefan Milius and Fabio Zanasi} }