Title
Killing epsilons with a dagger: A coalgebraic study of systems with algebraic label structure.
Abstract
We propose an abstract framework for modelling state-based systems with internal behaviour as e.g. given by silent or ϵ-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 and non-deterministic transducers.
Year
DOI
Venue
2015
10.1016/j.tcs.2015.03.024
Theoretical Computer Science
Keywords
DocType
Volume
Coalgebras on Kleisli categories,Parametrized fixpoint operator,Trace semantics,Epsilon transitions,Mazurkiewicz traces,Non-deterministic transducers
Journal
604
ISSN
Citations 
PageRank 
0304-3975
1
0.35
References 
Authors
3
4
Name
Order
Citations
PageRank
Filippo Bonchi157947.04
Stefan Milius251157.28
Alexandra Silva3966.03
Fabio Zanasi411013.89