Adding Priority to Event Structures

Youssef Arbach
(Technische Universität Berlin, Germany)
Kirstin Peters
(Technische Universität Berlin, Germany)
Uwe Nestmann
(Technische Universität Berlin, Germany)

Event Structures (ESs) are mainly concerned with the representation of causal relationships between events, usually accompanied by other event relations capturing conflicts and disabling. Among the most prominent variants of ESs are Prime ESs, Bundle ESs, Stable ESs, and Dual ESs, which differ in their causality models and event relations. Yet, some application domains require further kinds of relations between events. Here, we add the possibility to express priority relationships among events.

We exemplify our approach on Prime, Bundle, Extended Bundle, and Dual ESs. Technically, we enhance these variants in the same way. For each variant, we then study the interference between priority and the other event relations. From this, we extract the redundant priority pairs—notably differing for the types of ESs—that enable us to provide a comparison between the extensions. We also exhibit that priority considerably complicates the definition of partial orders in ESs.

In Johannes Borgström and Bas Luttik: Proceedings Combined 20th International Workshop on Expressiveness in Concurrency and 10th Workshop on Structural Operational Semantics (EXPRESS/SOS 2013), Buenos Aires, Argentina, 26th August, 2013, Electronic Proceedings in Theoretical Computer Science 120, pp. 17–31.
Published: 26th July 2013.

ArXived at: bibtex PDF
References in reconstructed bibtex, XML and HTML format (approximated).
Comments and questions to:
For website issues: