Graph Transformation with Time

Issue title: The First International Conference on Graph Transformation (ICGT 2002)

Article type: Research Article

Authors: Gyapay, Szilvia | Varró, Dániel | Heckel, Reiko

Affiliations: Department of Measurement and Information Systems, Budapest University of Economics, H-1521 Budapest, Hungary | Faculty of Computer Science, Electrical Engineering, and Mathematics, University of Paderborn, D-33095 Paderborn, Germany

Abstract: Following TER nets, an approach to the modeling of time in high-level Petri nets, we propose a model of time within (attributed) graph transformation systems where logical clocks are represented as distinguished node attributes. Corresponding axioms for the time model in TER nets are generalized to graph transformation systems and semantic variations are discussed. They are summarized by a general theorem ensuring the consistency of temporal order and casual dependencies. The resulting notions of typed graph transformation with time specialize the algebraic double-pushout (DPO) approach to typed graph transformation. In particular, the concurrency theory of the DPO approach can be used in the transfer of the basic theory of TER nets.

Keywords: graph transformation, time, concurrency

Journal: Fundamenta Informaticae, vol. 58, no. 1, pp. 1-22, 2003