On GS-monoidal theories for graphs with nesting

  • Authors:
  • Roberto Bruni;Andrea Corradini;Fabio Gadducci;Alberto Lluch Lafuente;Ugo Montanari

  • Affiliations:
  • Dipartimento di Informatica, Università di Pisa, Italy;Dipartimento di Informatica, Università di Pisa, Italy;Dipartimento di Informatica, Università di Pisa, Italy;IMT Institute for Advanced Studies, Lucca, Italy;Dipartimento di Informatica, Università di Pisa, Italy

  • Venue:
  • Graph transformations and model-driven engineering
  • Year:
  • 2010

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Abstract

We propose a sound and complete axiomatisation of a class of graphs with nesting and either locally or globally restricted nodes. Such graphs allow to represent explicitly and at the right level of abstraction some relevant topological and logical features of models and systems, including nesting, hierarchies, sharing of resources, and pointers or links. We also provide an encoding of the proposed algebra into terms of a gs-monoidal theory, and through these into a suitable class of "well-scoped" term graphs, showing that this encoding is sound and complete with respect to the axioms of the algebra.