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Causality versus true-concurrency
Citation Link: https://doi.org/10.15480/882.4035
Publikationstyp
Journal Article
Date Issued
2006-07-14
Sprache
English
Author(s)
TORE-DOI
Volume
154
Issue
3
Start Page
3
End Page
18
Citation
Electronic Notes in Theoretical Computer Science 154 (3): 3-18 (2006-07-19)
Publisher DOI
Scopus ID
Publisher
Elsevier Science
Category 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.
Subjects
causal trees
Event structures
history preserving bisimulation
DDC Class
004: Informatik
Publication version
publishedVersion
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