Graph Passing in Graph Transformation

A.H. Ghamarian, Arend Rensink

Research output: Book/ReportReportProfessional

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Abstract

Graph transformation works under the whole world assumption. Therefore, in realistic systems, both the individual graphs and the set of all such graphs can grow very large. In reactive formalisms such as process algebra, on the other hand, each system is split into smaller components which continually interact; the interactions pass information such as names or locations between components. The state spaces for the separate components are typically much smaller, and much efficiency can be gained by analysing system behaviour on this level. In this paper we present a framework for compositional graph transformation inspired by name-passing calculi, in which (knowledge about) subgraphs can be passed between components. Essentially, we define graph-passing (reactive) component rules and their composition into traditional (reductive) whole-world rules. This extends previous work in which a simpler form of composition was proposed. The main result is a soundness and completeness result for the composition, showing that the transformations induced by the component rules and their whole-world counterparts are equivalent.
Original languageUndefined
Place of PublicationEnschede
PublisherCentre for Telematics and Information Technology (CTIT)
Number of pages18
Publication statusPublished - 31 Jan 2012

Publication series

NameCTIT Technical Report Series
PublisherUniversity of Twente, Centre for Telematics and Information Technology
No.TR-CTIT-12-04
ISSN (Print)1381-3625

Keywords

  • Compositionality
  • Graph Transformation
  • FMT-MC: MODEL CHECKING
  • METIS-285115
  • Soundness and Completeness
  • IR-79646
  • EWI-21480

Cite this

Ghamarian, A. H., & Rensink, A. (2012). Graph Passing in Graph Transformation. (CTIT Technical Report Series; No. TR-CTIT-12-04). Enschede: Centre for Telematics and Information Technology (CTIT).
Ghamarian, A.H. ; Rensink, Arend. / Graph Passing in Graph Transformation. Enschede : Centre for Telematics and Information Technology (CTIT), 2012. 18 p. (CTIT Technical Report Series; TR-CTIT-12-04).
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Ghamarian, AH & Rensink, A 2012, Graph Passing in Graph Transformation. CTIT Technical Report Series, no. TR-CTIT-12-04, Centre for Telematics and Information Technology (CTIT), Enschede.

Graph Passing in Graph Transformation. / Ghamarian, A.H.; Rensink, Arend.

Enschede : Centre for Telematics and Information Technology (CTIT), 2012. 18 p. (CTIT Technical Report Series; No. TR-CTIT-12-04).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - Graph Passing in Graph Transformation

AU - Ghamarian, A.H.

AU - Rensink, Arend

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N2 - Graph transformation works under the whole world assumption. Therefore, in realistic systems, both the individual graphs and the set of all such graphs can grow very large. In reactive formalisms such as process algebra, on the other hand, each system is split into smaller components which continually interact; the interactions pass information such as names or locations between components. The state spaces for the separate components are typically much smaller, and much efficiency can be gained by analysing system behaviour on this level. In this paper we present a framework for compositional graph transformation inspired by name-passing calculi, in which (knowledge about) subgraphs can be passed between components. Essentially, we define graph-passing (reactive) component rules and their composition into traditional (reductive) whole-world rules. This extends previous work in which a simpler form of composition was proposed. The main result is a soundness and completeness result for the composition, showing that the transformations induced by the component rules and their whole-world counterparts are equivalent.

AB - Graph transformation works under the whole world assumption. Therefore, in realistic systems, both the individual graphs and the set of all such graphs can grow very large. In reactive formalisms such as process algebra, on the other hand, each system is split into smaller components which continually interact; the interactions pass information such as names or locations between components. The state spaces for the separate components are typically much smaller, and much efficiency can be gained by analysing system behaviour on this level. In this paper we present a framework for compositional graph transformation inspired by name-passing calculi, in which (knowledge about) subgraphs can be passed between components. Essentially, we define graph-passing (reactive) component rules and their composition into traditional (reductive) whole-world rules. This extends previous work in which a simpler form of composition was proposed. The main result is a soundness and completeness result for the composition, showing that the transformations induced by the component rules and their whole-world counterparts are equivalent.

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Ghamarian AH, Rensink A. Graph Passing in Graph Transformation. Enschede: Centre for Telematics and Information Technology (CTIT), 2012. 18 p. (CTIT Technical Report Series; TR-CTIT-12-04).