%0 Conference Paper %B CMCS -55th Annual Mathematics Conference %D 2014 %T How to Kill Epsilons with a Dagger - A Coalgebraic Take on Systems with Algebraic Label Structure %A Alexandra Silva %A Filippo Bonchi %A Stefan Milius %A Fabio Zanasi %C California Mathematics Council - South %I Springer %V 8446 %X

We propose an abstract framework for modeling state-based systems with internal behavior as e.g. given by silent or \epsilon-transitions. Our approach employs monads with a parametrized fixpoint operator \dagger 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.

%8 October %> https://haslab.uminho.pt/sites/default/files/xana/files/1402.4062v2.pdf