Title
Parallel and Sequential Independence for Borrowed Contexts
Abstract
Parallel and sequential independence are central concepts in the concurrency theory of the double pushout (dpo) approach to graph rewriting. However, so far those same notions were missing for dporewriting extended with borrowed contexts (dpobc), a formalism used for equipping dpoderivations with labels and introduced for modeling open systems that interact with the environment.In this work we propose the definition of parallel and sequential independence for dpobcrewriting, and we prove that these novel notions allow generalizing the Church-Rosser and parallelism theorems holding for dporewriting. Most importantly, we show that the dpobcversion of these theorems still guarantees the local confluence and the parallel execution of pairs of independent dpobcderivations.
Year
DOI
Venue
2008
10.1007/978-3-540-87405-8_16
ICGT
Keywords
Field
DocType
sequential independence,borrowed context,novel notion,parallel execution,open system,central concept,concurrency theory,local confluence,double pushout,independent dpobcderivations,graph rewriting
Discrete mathematics,Computer science,Generalization,Concurrency,Pushout,Rewriting,Graph rewriting,Confluence,Formalism (philosophy),Open system (systems theory)
Conference
Volume
ISSN
Citations 
5214
0302-9743
1
PageRank 
References 
Authors
0.38
16
3
Name
Order
Citations
PageRank
Filippo Bonchi157947.04
Fabio Gadducci277262.94
Tobias Heindel315612.93