Labelled (Hyper)Graphs, Negotiations and the Naming Problem

  • Authors:
  • Jérémie Chalopin;Antoni Mazurkiewicz;Yves Métivier

  • Affiliations:
  • LIF, Aix-Marseille Université, Marseille, France 13453;Institue of Computer Science of PAS, Warsaw, Poland PL-01-237;Université de Bordeaux, LaBRI, Talence, France 33405

  • Venue:
  • ICGT '08 Proceedings of the 4th international conference on Graph Transformations
  • Year:
  • 2008

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Abstract

We consider four different models of process interactions that unify and generalise models introduced and studied by Angluin et al. [2] and models introduced and studied by Mazurkiewicz [17,18]. We encode these models by labelled (hyper)graphs and relabelling rules on this labelled (hyper)graphs called negotiations. Then for these models, we give complete characterisations of labelled graphs in which the naming problem can be solved. Our characterizations are expressed in terms of locally constrained homomorphisms that are generalisations of known graph homomorphisms.