Abstract : We propose an abstract framework for modeling state-based systems with internal behavior as e.g. given by silent or -transitions. Our approach employs monads with a parametrized fixpoint operator 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.
https://hal.inria.fr/hal-01408752 Contributor : Hal IfipConnect in order to contact the contributor Submitted on : Monday, December 5, 2016 - 1:24:02 PM Last modification on : Tuesday, May 3, 2022 - 5:52:02 PM Long-term archiving on: : Monday, March 20, 2017 - 8:03:02 PM
Filippo Bonchi, Stefan Milius, Alexandra Silva, Fabio Zanasi. How to Kill Epsilons with a Dagger. 12th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2014, Grenoble, France. pp.53-74, ⟨10.1007/978-3-662-44124-4_4⟩. ⟨hal-01408752⟩