Fröschle, Sibylle B.Sibylle B.FröschleLasota, SławomirSławomirLasota2021-12-162021-12-162006-07-14Electronic Notes in Theoretical Computer Science 154 (3): 3-18 (2006-07-19)http://hdl.handle.net/11420/11287Category theory has been successfully employed to structure the confusing setup of models and equivalences for concurrency: Winskel and Nielsen have related the standard models via adjunctions and (co)reflections while Joyal et al. have defined an abstract notion of equivalence, known as open map bisimilarity. One model has not been integrated into this framework: the causal trees of Darondeau and Degano. Here we fill this gap. In particular, we show that there is an adjunction from causal trees to event structures, which we bring to light via a mediating model, that of event trees. Further, we achieve an open map characterization of history preserving bisimilarity: the latter is captured by the natural instantiation of the abstract bisimilarity for causal trees.en1571-0661Electronic notes in theoretical computer science20063318Elsevier Sciencehttps://creativecommons.org/licenses/by-nc-nd/3.0/causal treesEvent structureshistory preserving bisimulationInformatikCausality versus true-concurrencyJournal Article10.15480/882.403510.1016/j.entcs.2006.05.00310.15480/882.4035Journal Article