A Collection Operator for Graph Transformation

Formal Definition of a General Ontology Pattern Language using a Graph Grammar

“…This idea of rule schemata or rule collections can also be used capture the concepts of element multiplicity and quantification [15] [16]. Fig.…”

“…5(b,c) shows the concrete schema instantiation for k = 1 and k = 2, respectively. Again, for simplicity's sake, we will not elaborate further on the theory of rule schemata, referring the reader to [15] for details.…”

From UML 2 Sequence Diagrams to State Machines by Graph Transformation.

“…A collection operator [GKMP09] can be used in a rule to match and transform a set of similar subgraphs in one step. This is also possible with so-called rule amalgamation [Tae96].…”

“…The AGG tool only supports abstract syntax rules, and we have manually translated from concrete syntax to abstract syntax rules. We have also used multiple collection free rules to simulate each rule with collection operators by following the algorithm defined in [GKMP09]. This paper defines semantics for concrete syntax-based rules of sequence diagrams which can be used to automate the translation to abstract syntax rules, as we have implemented previously for activity models [GMP08].…”

Architectural Aspects in UML

“…Grønmo has in his PhD work focused on three areas in the SWAT context: one is composition of sequence diagram aspects that is semantics based [67,68] and a confluence theory for sequence diagram aspects [72], the other is representation of aspects and transformations in concrete syntax [70,71], and finally extensions to graph transformation theory to improve the capability of composing sub graphs [69].…”